Math Homework Answers - Recent questions and answers
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Powered by Question2AnswerAnswered: im trying to figure on a grid distance between points (4,10) (4,3) (2,3)
https://www.mathhomeworkanswers.org/261512/im-trying-to-figure-on-a-grid-distance-between-points-4-10-4-3-2?show=261563#a261563
<p style="text-align:justify">Call the points in order A, B, C.</p>
<p style="text-align:justify">There are 6 grid distance vectors:</p>
<p style="text-align:justify">AB, BA, AC, CA, BC, CB, where AB means from A to B, and BA means from B to A, etc.</p>
<p style="text-align:justify">AB=(4-4,3-10)=(0,-7), BA=(4-4,10-3)=(0,7)</p>
<p style="text-align:justify">AC=(2-4,3-10)=(-2,-7), CA=(4-2,10-3)=(2,7)</p>
<p style="text-align:justify">BC=(2-4,3-3)=(-2,0), CB=(4-2,3-3)=(2,0)</p>
<p style="text-align:justify">The scalar distances are the square roots of the sums of the squares of the grid distances, so obviously there will only be three of these: 7, √53, 2.</p>Geometry Answershttps://www.mathhomeworkanswers.org/261512/im-trying-to-figure-on-a-grid-distance-between-points-4-10-4-3-2?show=261563#a261563Tue, 21 May 2019 15:26:14 +0000The perimeter of a rectangular poster is 108 in. The length is 12 in. greater than the width. Find the length.
https://www.mathhomeworkanswers.org/261562/perimeter-rectangular-poster-length-greater-width-length
<p><span style="background-color:rgb(255, 255, 255); color:rgb(86, 90, 92); font-family:lato,lucida sans unicode,lucida grande,sans-serif; font-size:19px">The perimeter of a rectangular poster is 108 in. The length is 12 in. greater than the width. Find the length.</span></p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/261562/perimeter-rectangular-poster-length-greater-width-lengthTue, 21 May 2019 15:25:06 +0000Answered: 2/3 (y+5)=178
https://www.mathhomeworkanswers.org/261481/2-3-y-5-178?show=261561#a261561
<p style="text-align: justify;">Multiply both sides by 3/2: y+5=178(3/2)=267.</p>
<p style="text-align: justify;">y=267-5=262.</p>Geometry Answershttps://www.mathhomeworkanswers.org/261481/2-3-y-5-178?show=261561#a261561Tue, 21 May 2019 15:06:31 +0000Answered: find the angle between v=6i+2j, w=6i+4j
https://www.mathhomeworkanswers.org/261483/find-the-angle-between-v-6i-2j-w-6i-4j?show=261560#a261560
<p style="text-align:justify"> This question can be answered in two ways: graphically and geometrically, or by using vectors.</p>
<p style="text-align:justify">GEOMETRIC</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=3540928382498531174" style="height:257px; width:400px"></p>
<p style="text-align:justify">The vectors are points (6,4) and (6,2), that is, the coefficients of the unit vectors i and j are the x and y coords respectively.</p>
<p style="text-align:justify">The angle θ is the difference between the angles of the slopes of the red and blue lines. The red line has a slope of 4/6=2/3 and the blue line has a slope of 2/6=1/3. The slopes are tangents of two angles, and θ=arctan(2/3)-arctan(1/3)=33.69°-18.43°=15.26° approx (0.266 radians).</p>
<p style="text-align:justify">VECTORS</p>
<p style="text-align:justify">The dot-product v.w=|v||w|cosθ.</p>
<p style="text-align:justify">v.w=6×6+2×4=36+8=44.</p>
<p style="text-align:justify">|v|=√(6²+2²)=√40, |w|=√(6²+4²)=√52.</p>
<p style="text-align:justify">cosθ=44/√2080=0.9648, θ=arccos(0.9648)=15.26°.</p>Trigonometry Answershttps://www.mathhomeworkanswers.org/261483/find-the-angle-between-v-6i-2j-w-6i-4j?show=261560#a261560Tue, 21 May 2019 15:01:35 +0000Answered: is -4 is a root of equation X square + bx - 4 equal to zero and the equation X square + PX + Q is equals to zero has equal roots find the value of P and Q
https://www.mathhomeworkanswers.org/261493/equation-square-equal-equation-square-equals-equal-roots-value?show=261559#a261559
<p style="text-align: justify;"> Sum of roots is -b and product of roots is -4, so if one root is -4, the other must be 1 and -b=-4+1=-3, so b=3. The quadratic equation is x²+3x-4=(x+4)(x-1)=0.</p>
<p style="text-align: justify;">If x²+Px+Q=0 is a perfect square (equal roots) then (P/2)²=Q, and P=±2√Q, so there would be many solutions for P and Q. Q must be a perfect square: 1, 4, 9, 16, ...</p>
<p style="text-align: justify;">And the corresponding values for P are ±2, ±4, ±6, ±8, ...</p>
<p style="text-align: justify;">If b in the first equation is the same as P, then P=3 and Q=9/4.</p>
<p style="text-align: justify;">If Q is the square of the roots of the first equation, then Q is 16 or 1 and P=8 or -2.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/261493/equation-square-equal-equation-square-equals-equal-roots-value?show=261559#a261559Tue, 21 May 2019 14:06:00 +0000Answered: Suppose that A is a second quadrant angle with sinA = 1/4. Determine the exact value of sin (A/2)
https://www.mathhomeworkanswers.org/261490/suppose-second-quadrant-angle-with-sina-determine-exact-value?show=261558#a261558
<p style="text-align:justify">A second quadrant angle is between π/2 and π (90° and 180°).</p>
<p style="text-align:justify">sinA=2sin(A/2)cos(A/2)=¼.</p>
<p style="text-align:justify">4sin²(A/2)cos²(A/2)=4sin²(A/2)(1-sin²(A/2))=1/16.</p>
<p style="text-align:justify">64sin²(A/2)-64sin⁴(A/2)=1, 64sin⁴(A/2)-64sin²(A/2)+1=0</p>
<p style="text-align:justify">Let y=sin²(A/2), 64y²-64y+1=0.</p>
<p style="text-align:justify">We can solve this using the formula: y=(64±√(4096-256)/128=(4±√15)/8.</p>
<p style="text-align:justify">So sin(A/2)=√((4±√15/8). This gives us two different angles.</p>
<p style="text-align:justify">We know that sinA=0.25, so A=2.8889 radians which is between π/2=1.57 radians, and π=3.14 radians.</p>
<p style="text-align:justify">Therefore a rough estimate of A/2 is 1.4445 radians, and sin(1.4445)=0.9920. </p>
<p style="text-align:justify">When we find the two sine values from above we get 0.9920 and 0.1260.</p>
<p style="text-align:justify">From this we accept only sin(A/2)=√((4+√15)/8) as the exact value where A is in the second quadrant.</p>Trigonometry Answershttps://www.mathhomeworkanswers.org/261490/suppose-second-quadrant-angle-with-sina-determine-exact-value?show=261558#a261558Tue, 21 May 2019 12:44:17 +0000Answered: express 0.0140671 + tax rate as include as a percentage with two decimal places and in whole mills
https://www.mathhomeworkanswers.org/261495/express-0140671-include-percentage-decimal-places-whole-mills?show=261557#a261557
<p style="text-align: justify;">a) 1.41%</p>
<p style="text-align: justify;">b) 14 mills</p>Other Math Topicshttps://www.mathhomeworkanswers.org/261495/express-0140671-include-percentage-decimal-places-whole-mills?show=261557#a261557Tue, 21 May 2019 12:30:37 +0000Answered: a squared + b squared equals 25.84027777777777
https://www.mathhomeworkanswers.org/261523/a-squared-b-squared-equals-25-84027777777777?show=261556#a261556
<p style="text-align: justify;">There are many answers to this question, but I guess the one you want must contain whole numbers of inches, so let’s work in inches instead of feet and inches.</p>
<p style="text-align: justify;">61²=a²+b² can be written: b²=61²-a²=(61-a)(61+a).</p>
<p style="text-align: justify;">If a=60, b²=(61-60)(61+60)=121, which is a perfect square.</p>
<p style="text-align: justify;">So b=11 in and a=60 in (5ft).</p>
<p style="text-align: justify;">As it happens, no other whole numbers satisfy the equation.</p>Trigonometry Answershttps://www.mathhomeworkanswers.org/261523/a-squared-b-squared-equals-25-84027777777777?show=261556#a261556Tue, 21 May 2019 12:10:31 +0000Answered: A line has a slope of 2 and passes through the point (1, 3). An equation of the line is A) y = x + 2 B) y = x + 1 C) y = 2x + 1 D) y = 3x - 2
https://www.mathhomeworkanswers.org/261525/line-has-slope-and-passes-through-the-point-equation-the-line?show=261554#a261554
<p style="text-align: justify;">A slope of 2 means we must have y=2x+... because the coefficient of x divided by the coefficient of y must be 2. Answer C has such a coefficient, and it passes through the point (1,3).</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/261525/line-has-slope-and-passes-through-the-point-equation-the-line?show=261554#a261554Tue, 21 May 2019 11:42:56 +0000Answered: A simple random sample of 25 vitamin tablets is obtained, and the potassium content of each tablet is measured. The sample has a standard deviation of 3.7 mg. Use a 0.05 significance...
https://www.mathhomeworkanswers.org/261540/obtained-potassium-measured-standard-deviation-significance?show=261551#a261551
<p style="text-align: justify;">The standard error is 3.7/√25=3.7/5=0.74mg. We need the critical value for this sample size and significance level of 0.05 (95% confidence level). We use the 2-tailed value because the test is for equality, which means we test for less than or greater than the claim of 3.2mg. Looking up the critical value in the test table gives us 2.064 (24 degrees of freedom=sample size 25-1).</p>
<p style="text-align: justify;">2.064 times 0.74=1.53 approx for the margin of error: 3.7±1.53 gives us a range of 2.17 to 5.23mg, and 3.2mg lies within this range, so the claim is valid.</p>Statistics Answershttps://www.mathhomeworkanswers.org/261540/obtained-potassium-measured-standard-deviation-significance?show=261551#a261551Tue, 21 May 2019 11:36:39 +0000A simple random sample of 8 women basketball player’s weights have a standard deviation of 7.5 lb. Find the test statistic...
https://www.mathhomeworkanswers.org/261539/basketball-players-weights-standard-deviation-statistic
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A simple random sample of 8 women basketball player’s weights have a standard deviation of 7.5 lb. Find the test statistic, using a 0.05 significance level, to test a claim that the standard deviation of all weights of women basketball players is less than 9 lb. </span>Could anyone show me how to do this?</p>Statistics Answershttps://www.mathhomeworkanswers.org/261539/basketball-players-weights-standard-deviation-statisticTue, 21 May 2019 06:24:39 +0000A simple random sample of 28 wait times while pumping gas at gas station has a standard deviation of 20 seconds. The test statistic for...
https://www.mathhomeworkanswers.org/261538/random-pumping-station-standard-deviation-seconds-statistic
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A simple random sample of 28 wait times while pumping gas at gas station has a standard deviation of 20 seconds. The test statistic for the random sample is 22.314 when found to test a claim that the standard deviation for all wait times while pumping gas at a gas station is less than 22 seconds. Using a 0.05 significance level, find the critical value and state the initial conclusion. </span>Could anyone show me how to do this?</p>Statistics Answershttps://www.mathhomeworkanswers.org/261538/random-pumping-station-standard-deviation-seconds-statisticTue, 21 May 2019 06:23:25 +0000A simple random sample of 20 women’s hair lengths prior to entering a local hair salon is found to have a standard deviation of 1.2 inches. Use a 0.01 significance level to...
https://www.mathhomeworkanswers.org/261536/random-lengths-entering-standard-deviation-significance
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A simple random sample of 20 women’s hair lengths prior to entering a local hair salon is found to have a standard deviation of 1.2 inches. Use a 0.01 significance level to test the claim that the standard deviation of all women’s hair lengths prior to entering the hair salon is greater than 1.0 in. Find the critical value(s) needed to test the claim. </span>Could anyone help me solve this problem?</p>Statistics Answershttps://www.mathhomeworkanswers.org/261536/random-lengths-entering-standard-deviation-significanceTue, 21 May 2019 06:21:01 +0000Eighty-one random people were surveyed about the time it takes to commute to work in the morning. The standard deviation of...
https://www.mathhomeworkanswers.org/261535/eighty-random-surveyed-commute-morning-standard-deviation
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">Eighty-one random people were surveyed about the time it takes to commute to work in the morning. The standard deviation of the simple random sample is 2.3 minutes. The test statistic for the sample is 105.8. Find the critical values, using a significance level of 0.10, needed to test a claim that the standard deviation of all commute times is equal to 2.0 minutes. State the initial conclusion. Could anyone show me how to solve this?</span></p>Statistics Answershttps://www.mathhomeworkanswers.org/261535/eighty-random-surveyed-commute-morning-standard-deviationTue, 21 May 2019 06:19:41 +0000A simple random sample of the sitting heights of 36 male students has a mean of 92.8cm. The population of males has...
https://www.mathhomeworkanswers.org/261534/simple-random-sample-sitting-heights-students-population
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A simple random sample of the sitting heights of 36 male students has a mean of 92.8cm. The population of males has sitting heights with a mean of 91.4 cm and a standard deviation of 3.6 cm. Using a 0.05 significance level to test the claim, the p-value of 0.0198 is found. What is the final conclusion about testing the claim that male students have a sitting height different from 91.4 cm. Could anyone show me how to do this?</span></p>Statistics Answershttps://www.mathhomeworkanswers.org/261534/simple-random-sample-sitting-heights-students-populationTue, 21 May 2019 06:18:28 +0000A recent survey was conducted with a simple random sample of 35 shoppers at the food court tin a local mall. The mall claims that...
https://www.mathhomeworkanswers.org/261533/recent-survey-conducted-simple-random-sample-shoppers-claims
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A recent survey was conducted with a simple random sample of 35 shoppers at the food court tin a local mall. The mall claims that the mean price for lunch is less than $4.65. The mean of the sample is $4.49, and the standard deviation of the population of lunch shoppers is $0.36. A P-value of 0.0043 is found using a 0.01 significance level tot test the claim that the mean price for lunch is less than $4.65. State the conclusion about the null hypothesis. Could anyone show me how to do this?</span></p>Statistics Answershttps://www.mathhomeworkanswers.org/261533/recent-survey-conducted-simple-random-sample-shoppers-claimsTue, 21 May 2019 06:17:16 +0000A recent claim stated the mean temperature setting at a person’s home is 78.3 degrees F. A simple random sample of...
https://www.mathhomeworkanswers.org/261532/stated-temperature-setting-persons-degrees-random-sample
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A recent claim stated the mean temperature setting at a person’s home is 78.3 degrees F. A simple random sample of 40 homes has a mean of 77.5 degrees F. Assume the population standard deviation is 1.9 degrees F and a confidence level of 0.05. Find the P-value needed to test the claim that the mean temperature setting at a person’s home is 78.3 degrees F. </span>Could someone show me how to do this?</p>Statistics Answershttps://www.mathhomeworkanswers.org/261532/stated-temperature-setting-persons-degrees-random-sampleTue, 21 May 2019 06:15:51 +0000A diet plan claims that women have a mean weight of 145 lbs. Assume that the weights of women have a standard deviation...
https://www.mathhomeworkanswers.org/261531/claims-women-weight-assume-weights-women-standard-deviation
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A diet plan claims that women have a mean weight of 145 lbs. Assume that the weights of women have a standard deviation of 30.86 lb. A sample of 40 weights of women has a mean weight of 153.2 lb. Find the p-value and, using a 0.05 significance level, state the conclusion about the null hypothesis. </span>Could someone help me solve this?</p>Statistics Answershttps://www.mathhomeworkanswers.org/261531/claims-women-weight-assume-weights-women-standard-deviationTue, 21 May 2019 06:14:05 +0000A watch designer claims that men have wrist breadths with a mean equal to 9 cm. A simple random sample of wrist...
https://www.mathhomeworkanswers.org/261530/watch-designer-claims-breadths-simple-random-sample-wrist
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A watch designer claims that men have wrist breadths with a mean equal to 9 cm. A simple random sample of wrist breadths of 72 men has a mean of 8.91 cm. The population standard deviation is 0.36 cm. Assume a confidence level of a=0.01. Find the value of the test statistic z using z = xbar - sample meanxbar/popstandard deviation/sqrt n. </span>Could anyone show me how to do this?</p>Statistics Answershttps://www.mathhomeworkanswers.org/261530/watch-designer-claims-breadths-simple-random-sample-wristTue, 21 May 2019 06:11:40 +0000A simple random sample of 36 bottles of Helo, a healthy juice mix, has a mean volume of 12.19 oz. Assume that the...
https://www.mathhomeworkanswers.org/261529/simple-random-sample-bottles-healthy-juice-volume-assume-that
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A simple random sample of 36 bottles of Helo, a healthy juice mix, has a mean volume of 12.19 oz. Assume that the standard deviation of all bottles of Helo is 0.11 oz. Use a 0.01 significance level to test the claim that bottles of Helo have volumes with a mean of 12 oz, as stated on the label. What is your final conclusion. Could anyone show me how to do this?</span></p>
<p> </p>Statistics Answershttps://www.mathhomeworkanswers.org/261529/simple-random-sample-bottles-healthy-juice-volume-assume-thatTue, 21 May 2019 06:09:08 +0000The totals of the individual weights of garbage discarded by 62 households in one week have a mean of 27.553 lb. Assume...
https://www.mathhomeworkanswers.org/261528/totals-individual-weights-garbage-discarded-households-assume
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">The totals of the individual weights of garbage discarded by 62 households in one week have a mean of 27.553 lb. Assume that the standard deviation of the weights is 12.458 lb. Use a 0.05 significance level to test the claim that the population of households has a mean less than 30 lb, which is the maximum amount that can be handled by the current waste removal system. What is your final conclusion. </span>Could someone help me solve this?</p>Statistics Answershttps://www.mathhomeworkanswers.org/261528/totals-individual-weights-garbage-discarded-households-assumeTue, 21 May 2019 06:07:14 +0000A simple random sample of 50 stainless steel metal screws is obtained. The screws have a mean length of 0.73 inches. Assume the population...
https://www.mathhomeworkanswers.org/261527/random-sample-stainless-screws-obtained-assume-population
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A simple random sample of 50 stainless steel metal screws is obtained. The screws have a mean length of 0.73 inches. Assume the population standard deviation is 0.012 inches and the confidence level is a=0.05. Find the p-value you would use to test the claim that the screws have a mean length equal to 0.75 inches as indicated on the package label. I'm struggling to find the p-value, could someone help?</span></p>Statistics Answershttps://www.mathhomeworkanswers.org/261527/random-sample-stainless-screws-obtained-assume-populationTue, 21 May 2019 06:04:23 +0000Answered: what is half or 15 ?
https://www.mathhomeworkanswers.org/6000/what-is-half-or-15?show=261522#a261522
<p style="text-align: justify;"><span style="font-size: 300%; font-size: 300%;">If you want the answer to be a whole number then you could have the half to be 7 or 8 but then answer would be 7.5 in decimals.<img alt="enlightened" src="https://www.mathhomeworkanswers.org/qa-plugin/ckeditor4/plugins/smiley/images/lightbulb.gif" style="height:20px; width:20px" title="enlightened"><img alt="no" src="https://www.mathhomeworkanswers.org/qa-plugin/ckeditor4/plugins/smiley/images/thumbs_down.gif" style="height:20px; width:20px" title="no"><img alt="indecision" src="https://www.mathhomeworkanswers.org/qa-plugin/ckeditor4/plugins/smiley/images/whatchutalkingabout_smile.gif" style="height:20px; width:20px" title="indecision"></span></p>Pre-Algebra Answershttps://www.mathhomeworkanswers.org/6000/what-is-half-or-15?show=261522#a261522Mon, 20 May 2019 22:14:06 +0000A simple random sample has a sample size of n = 65. Given the population is normally distributed, find the critical value...
https://www.mathhomeworkanswers.org/261521/random-sample-sample-population-normally-distributed-critical
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A simple random sample has a sample size of n = 65. Given the population is normally distributed, find the critical value ta/2 corresponding to a 99% confidence level. I know the answer is 2.660, but I’m confused on how to get there. </span></p>Statistics Answershttps://www.mathhomeworkanswers.org/261521/random-sample-sample-population-normally-distributed-criticalMon, 20 May 2019 21:27:29 +0000The mean of a sample size n = 35 is 1860. The standard deviation of the sample is 102 and the population is...
https://www.mathhomeworkanswers.org/261520/mean-sample-size-1860-standard-deviation-sample-population
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">The mean of a sample size n = 35 is 1860. The standard deviation of the sample is 102 and the population is normally distributed. Construct a 99% confidence interval estimate of the mean of the population. </span>I know the answer is 1813 < u < 1907, but how do I get that answer? I'm not sure how to solve it. </p>Statistics Answershttps://www.mathhomeworkanswers.org/261520/mean-sample-size-1860-standard-deviation-sample-populationMon, 20 May 2019 21:26:19 +0000A sample size of n = 20 is a simple random sample selected from a normally distributed population. Find the critical value ta/2 corresponding to a 95% confidence level.
https://www.mathhomeworkanswers.org/261519/normally-distributed-population-corresponding-confidence
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">A sample size of n = 20 is a simple random sample selected from a normally distributed population. Find the critical value ta/2 corresponding to a 95% confidence level. I know the answer is 2.093, but I'm not sure how to get there. Can anyone show me?</span></p>Statistics Answershttps://www.mathhomeworkanswers.org/261519/normally-distributed-population-corresponding-confidenceMon, 20 May 2019 21:24:48 +0000The standard deviation of sample size of n = 15 is 345 and the mean is 6784. Given that the population follows a...
https://www.mathhomeworkanswers.org/261518/standard-deviation-sample-size-mean-given-population-follows
<p><span style="background-color:transparent; color:rgb(0, 0, 0); font-family:arial; font-size:10pt">The standard deviation of sample size of n = 15 is 345 and the mean is 6784. Given that the population follows a normal distribution, construct a 90% confidence interval estimate of the mean of the population. I'm not sure how to solve this. I know tthe answer is 6627 < u <6941, but how do I get there?</span></p>Statistics Answershttps://www.mathhomeworkanswers.org/261518/standard-deviation-sample-size-mean-given-population-followsMon, 20 May 2019 21:23:23 +0000Answered: Find the probability of not rolling the difference of two
https://www.mathhomeworkanswers.org/261479/find-the-probability-of-not-rolling-the-difference-of-two?show=261516#a261516
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=16677790502218697765" style="height:133px; width:450px"></p>
<p style="text-align:justify">The picture shows all 36 outcomes of rolling two dice. The table body shows the difference between the values of the dice for every possible combination. The difference of 2 is highlighted in red, so there are 8 with a difference of 2, meaning that there are 36-8=28 with a difference of not-2. Therefore the probability is 28/36=7/9.</p>
<p style="text-align:justify"> </p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/261479/find-the-probability-of-not-rolling-the-difference-of-two?show=261516#a261516Mon, 20 May 2019 20:15:55 +0000Answered: Subtract -x^2+4x+5−x 2 +4x+5 from 7x-37x−3
https://www.mathhomeworkanswers.org/261499/subtract-x-2-4x-5%E2%88%92x-2-4x-5-from-7x-37x%E2%88%923?show=261515#a261515
<p style="text-align: justify;">This is the same as adding x²-4x-5 to 7x-3=x²+3x-8. (I’ve ignored the typing duplications.)</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/261499/subtract-x-2-4x-5%E2%88%92x-2-4x-5-from-7x-37x%E2%88%923?show=261515#a261515Mon, 20 May 2019 19:54:17 +0000Find the chi-square value X2/L corresponding to a sample size of 17 and a confidence level of 98%
https://www.mathhomeworkanswers.org/261514/find-square-value-corresponding-sample-size-confidence-level
<p><strong>I'm not exactly sure what the answer is to this, can anyone help?</strong></p>Statistics Answershttps://www.mathhomeworkanswers.org/261514/find-square-value-corresponding-sample-size-confidence-levelMon, 20 May 2019 19:52:56 +0000Answered: (9^n×3^n×3^2-27^n)/(3^15×2^3)=1/27.Find the value of n
https://www.mathhomeworkanswers.org/261500/9-n-3-n-3-2-27-n-3-15-2-3-1-27-find-the-value-of-n?show=261513#a261513
<p style="text-align: justify;">n=4.</p>
<p style="text-align: justify;">Here’s why.</p>
<p style="text-align: justify;">27=3³, 9=3², so the equation can be simplified:</p>
<p style="text-align: justify;">(3^(3n+2)-3^(3n)=2³×3¹².</p>
<p style="text-align: justify;">(3^3n)(9-1)=8×3¹².</p>
<p style="text-align: justify;">3^(3n)=3¹², so 3n=12, n=4.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/261500/9-n-3-n-3-2-27-n-3-15-2-3-1-27-find-the-value-of-n?show=261513#a261513Mon, 20 May 2019 19:37:59 +0000Answered: solve the diophantine equation, 83x+111y=4626
https://www.mathhomeworkanswers.org/261502/solve-the-diophantine-equation-83x-111y-4626?show=261511#a261511
<p style="text-align:justify">x=33, y=17.</p>
<p style="text-align:justify">Find integers x and y satisfying (61-28y)/83 is an integer (positive or negative).</p>
<p style="text-align:justify">When 83 is divided into 4626, the remainder is 61; when 83 is divided into 111, the remainder is 28, so the original equation is reduced by considering only the remainders. </p>
<p style="text-align:justify">Then x=55+(61-28y)/83-y.</p>
<p style="text-align:justify">When y=17, 61-28y=-415=-5×83, so x=55-5-17=33.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/261502/solve-the-diophantine-equation-83x-111y-4626?show=261511#a261511Mon, 20 May 2019 19:16:52 +0000Answered: lim's investment of $2100 earned $404.25 in simple interest after 3 and 1/2 years what was the interest rate p.a?
https://www.mathhomeworkanswers.org/261496/investment-%242100-earned-simple-interest-after-years-interest?show=261510#a261510
<p style="text-align: justify;">Interest=PTR/100, 404.25=2100×7/2×R/100=147R/2, R=2×404.25/147=11/2=5.5.</p>
<p style="text-align: justify;">Simple interest rate=5.5%.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/261496/investment-%242100-earned-simple-interest-after-years-interest?show=261510#a261510Mon, 20 May 2019 18:59:05 +0000Answered: Evaluate -2|n + 5| when n = -11
https://www.mathhomeworkanswers.org/261480/evaluate-2-n-5-when-n-11?show=261509#a261509
<p style="text-align: justify;">-2|n+5|=-2(6)=-12.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/261480/evaluate-2-n-5-when-n-11?show=261509#a261509Mon, 20 May 2019 18:50:41 +0000Answered: A quadratic function has its vertex at the point (−8,0). The function passes through the point (−3,−10). Find the quadratic and linear coefficients and the constant term of the function.
https://www.mathhomeworkanswers.org/261503/quadratic-function-function-quadratic-coefficients-function?show=261508#a261508
<p style="text-align:justify">f(x)=a(x+8)² where a is a constant. f(-3)=-10, so a(5²)=-10, 25a=-10, a=-10/25=-⅖.</p>
<p style="text-align:justify">f(x)=-⅖(x+8)²=-⅖(x²+16x+64).</p>
<p style="text-align:justify">f(x)=-2x²/5-32x/5-128/5.</p>
<p style="text-align:justify">Quadratic coefficient: -2/5 (-0.4)</p>
<p style="text-align:justify">Linear coefficient: -32/5 (-6.4)</p>
<p style="text-align:justify">Constant: -128/5 (-25.6)</p>Pre-Algebra Answershttps://www.mathhomeworkanswers.org/261503/quadratic-function-function-quadratic-coefficients-function?show=261508#a261508Mon, 20 May 2019 18:48:40 +0000Answered: A quadratic function has its vertex at the point (−8,0). The function passes through the point (−3,−10). Find the quadratic and linear coefficients and the constant term of the function
https://www.mathhomeworkanswers.org/261504/quadratic-function-function-quadratic-coefficients-function?show=261507#a261507
<p style="text-align:justify">f(x)=a(x+8)² where a is a constant. f(-3)=-10, so a(5²)=-10, 25a=-10, a=-10/25=-⅖.</p>
<p style="text-align:justify">f(x)=-⅖(x+8)²=-⅖(x²+16x+64).</p>
<p style="text-align:justify">f(x)=-2x²/5-32x/5-128/5.</p>
<p style="text-align:justify">Quadratic coefficient: -2/5 (-0.4)</p>
<p style="text-align:justify">Linear coefficient: -32/5 (-6.4)</p>
<p style="text-align:justify">Constant: -128/5 (-25.6)</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/261504/quadratic-function-function-quadratic-coefficients-function?show=261507#a261507Mon, 20 May 2019 18:44:43 +0000Answered: Write a quadratic function with a linear coefficient of 3, a constant term of −10, and a quadratic term of 2b2
https://www.mathhomeworkanswers.org/261505/quadratic-function-linear-coefficient-constant-quadratic?show=261506#a261506
<p style="text-align: justify;">f(b)=2b²+3b-10</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/261505/quadratic-function-linear-coefficient-constant-quadratic?show=261506#a261506Mon, 20 May 2019 18:29:42 +0000Find the value of x
https://www.mathhomeworkanswers.org/261487/find-the-value-of-x
One side is 44 and one side is 93 and then there's the xAlgebra 2 Answershttps://www.mathhomeworkanswers.org/261487/find-the-value-of-xMon, 20 May 2019 07:42:02 +0000Answered: ow can u rewrite these logarithmic equations an exponent
https://www.mathhomeworkanswers.org/64326/ow-can-u-rewrite-these-logarithmic-equations-an-exponent?show=261477#a261477
<ol>
<li style="text-align:justify">log₃5=y, 5=3^y. (y=1.465 approx)</li>
<li style="text-align:justify">7=a^-2. (7=1/a², a²=1/7, a=1/√7=√7/7=0.378 approx.)</li>
</ol>
<p style="text-align:justify">log₂(x)=-3, x=2^-3=1/2³=⅛.</p>
<p style="text-align:justify">log[x]9=½, 9=x^½, 81=x, x=81.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/64326/ow-can-u-rewrite-these-logarithmic-equations-an-exponent?show=261477#a261477Sun, 19 May 2019 21:29:49 +0000Answered: Convert 7^x-2=200 to logarithmic
https://www.mathhomeworkanswers.org/79272/convert-7-x-2-200-to-logarithmic?show=261476#a261476
<p style="text-align: justify;">(x-2)log(7)=log(200), x-2=log(200)/log(7), x=2+log(200)/log(7)=4.7228 approx.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/79272/convert-7-x-2-200-to-logarithmic?show=261476#a261476Sun, 19 May 2019 20:56:01 +0000Answered: Convert log4 (16) = 2 to exponential form
https://www.mathhomeworkanswers.org/261472/convert-log4-16-2-to-exponential-form?show=261475#a261475
<p style="text-align: justify;">16=4².</p>https://www.mathhomeworkanswers.org/261472/convert-log4-16-2-to-exponential-form?show=261475#a261475Sun, 19 May 2019 20:43:31 +0000Answered: how do you convert 2^100=4 into its logarithmic form?
https://www.mathhomeworkanswers.org/70747/how-do-you-convert-2-100-4-into-its-logarithmic-form?show=261474#a261474
<p style="text-align: justify;">Do you mean 2^100x=4?</p>
<p style="text-align: justify;">Take logs (base 2) of each side: 100x=log₂(4)=2, x=2/100=0.02.</p>
<p style="text-align: justify;">Or do you mean 2^100=4x?</p>
<p style="text-align: justify;">100=2+log₂x, log₂x=98, x=2^98.</p>
<p style="text-align: justify;">Or do you mean 2^100=4^x?</p>
<p style="text-align: justify;">100=xlog₂(4)=2x, x=50.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/70747/how-do-you-convert-2-100-4-into-its-logarithmic-form?show=261474#a261474Sun, 19 May 2019 20:42:10 +0000Answered: Convert 5^m = 64 to logarithmic form?
https://www.mathhomeworkanswers.org/261471/convert-5-m-64-to-logarithmic-form?show=261473#a261473
<p style="text-align:justify">5^m=64.</p>
<p style="text-align:justify">Take logs to base 5: m=log₅(64)=2.584</p>
<p style="text-align:justify">OR</p>
<p style="text-align:justify">Take logs to a different base, e.g., natural logs:</p>
<p style="text-align:justify">mln(5)=ln(64), m=ln(64)/ln(5)=4.1589/1.6094=2.584.</p>
<p style="text-align:justify">If you have a scientific calculator with natural logs on it, you should be able to use the second method. Some calculators allow you to find logs to any base. It doesn’t matter which base you use, the answer will be the same.</p>https://www.mathhomeworkanswers.org/261471/convert-5-m-64-to-logarithmic-form?show=261473#a261473Sun, 19 May 2019 20:33:14 +0000Answered: You are asked to conduct a simulation and run a hypothesis test at a significance level of 0.01. Based on your simulation, you find that the p-value is 0.012.
https://www.mathhomeworkanswers.org/261454/conduct-simulation-hypothesis-significance-based-simulation?show=261470#a261470
<p style="text-align:justify">0.01 corresponds to a confidence level of 90%, so we would expect our probability to be within this 90% interval. Outside the interval we reject the null hypothesis and, by default, accept the alternative hypothesis. 90% leaves 10% shared by the two tails of the symmetrical distribution. So that’s 5%, or 0.05, for each tail. 0.012 is less than 0.05 so we reject the null hypothesis.</p>Statistics Answershttps://www.mathhomeworkanswers.org/261454/conduct-simulation-hypothesis-significance-based-simulation?show=261470#a261470Sun, 19 May 2019 20:00:28 +0000Answered: need real life example of situation that would be following order of operations
https://www.mathhomeworkanswers.org/261452/need-real-example-situation-would-following-order-operations?show=261468#a261468
<p style="text-align:justify">Borrowing money is an everyday occurrence, for example, borrowing from a bank to buy an expensive item like a house or a car. Lenders probably use tables to find out what the monthly repayment will be over a period of years. Lenders will charge borrowers interest, usually compound interest, because that brings more money in! The tables are constructed from a formula, which could be the one shown here. The algebraic equation for calculating the monthly repayment, m, of an amount, A, over t years at a monthly compound rate of r% is:</p>
<p style="text-align:justify">m=rA/(100(1-(1+r/100)^-12t)).</p>
<p style="text-align:justify">This may look frightening but it still has to follow PEMDAS or BODMAS rules for order of operation.</p>
<p style="text-align:justify">Let’s break it down. There are parentheses (P), an exponent (E), multiplication (M), division (D), addition (A) and subtraction (S). </p>
<p style="text-align:justify">P: There are three sets of parentheses. The innermost is (1+r/100), so this calculation must be done first. And within the parentheses we have addition (A) and division (D). Division takes place before addition. Let’s say that r=0.5%. Divide by 100 to get 0.005. So we have 1+0.005=1.005.</p>
<p style="text-align:justify">E: Having calculated the contents of the parentheses, we see there’s an exponent -12t. This contains multiplication, which must be done first before we can know what the exponent is. Suppose t=20 years, then 12t=240 (years converted to months). There is a unary operator minus in front of 12t, which tells us to make 240 into negative 240, -240. We have enough now to do the calculation 1.005^-240. This is a job for a calculator and it comes to 0.3021 approximately.</p>
<p style="text-align:justify">More to follow in comments...</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/261452/need-real-example-situation-would-following-order-operations?show=261468#a261468Sun, 19 May 2019 18:56:51 +0000Answered: Maximize: xy subject to: x+y=1
https://www.mathhomeworkanswers.org/261411/maximize-xy-subject-to-x-y-1?show=261467#a261467
<p style="text-align: justify;">xy=x(1-x)=x-x². Differentiate: 1-2x=0 at maximum, so x=½=y.</p>
<p style="text-align: justify;">Maximum xy = ½²=¼.</p>
<p style="text-align: justify;">Another way:</p>
<p style="text-align: justify;">x-x²=¼+x-x²-¼=¼-(x-½)². This has a maximum value when x=½, so since x+y=1, y=½. Maximum xy=¼.</p>Calculus Answershttps://www.mathhomeworkanswers.org/261411/maximize-xy-subject-to-x-y-1?show=261467#a261467Sun, 19 May 2019 17:45:16 +0000Answered: A principal simulated a student raffle using 500 trials and recorded the grade level of the winner each time. The results are shown in the table
https://www.mathhomeworkanswers.org/261455/principal-simulated-student-raffle-recorded-winner-results?show=261464#a261464
<p style="text-align: justify;">The sum of these counts is 460, not 500 as would be expected, so we conclude that 40 students are outside the listed grades. Assuming that to be the case, the number of grade 11 winners is 80/500 of the total number of students, that is, 0.16 or 16%. This is the probability that the winner would be a grade 11 student.</p>Statistics Answershttps://www.mathhomeworkanswers.org/261455/principal-simulated-student-raffle-recorded-winner-results?show=261464#a261464Sun, 19 May 2019 11:55:45 +0000Answered: In a recent taste test, 1017 out of 1250 people could not tell the difference between a popular soda’s original flavor and the new calorie-free flavor. The company claims that more than 80%
https://www.mathhomeworkanswers.org/261453/recent-difference-between-popular-original-calorie-company?show=261463#a261463
<p style="text-align: justify;">This seems to be a binomial distribution. There are only two possible outcomes: people can tell the difference; or people can’t tell the difference. The company claim that over 80% can’t tell the difference, so that’s 80% of 1250=1000. If we put p=0.80 then np is the mean=1000 and the variance is np(1-p)=1000(0.20)=200, the square root being the standard deviation=√200=14.14 approx. The Z score for 1017 is (1017-1000)/14.14=17/14.14=1.20.</p>Statistics Answershttps://www.mathhomeworkanswers.org/261453/recent-difference-between-popular-original-calorie-company?show=261463#a261463Sun, 19 May 2019 11:47:12 +0000Answered: The claim that 90% of Americans check their mail daily is tested. Also assume that the initial conclusion rejects the null hypothesis. State the final conclusion in simple, nontechnical terms
https://www.mathhomeworkanswers.org/261438/americans-conclusion-hypothesis-conclusion-nontechnical?show=261462#a261462
<p style="text-align:justify">The null hypothesis is a statement of what is being tested: “90% of Americans check their mail every day.”</p>
<p style="text-align:justify">So, each of the Americans in a random sample of Americans is asked: “Do you check your mail every day?”</p>
<p style="text-align:justify">Let’s assume they can only reply yes or no. By using random samples of, say, 100 people in each sample the data can be collected and analysed and the average (mean) and standard deviation (spread) determined. The null hypothesis is that (exactly) 90% check their mail. The alternative hypothesis is that the figure is not 90%. Some confidence level needs to be established. In other words, how certain are we that the conclusion is likely to be true.</p>
<p style="text-align:justify">The initial conclusion is that the null hypothesis is rejected: the percentage of Americans who check their mail everyday is not 90%. This conclusion occurs before analysis commences. After analysis the stats confirm the initial conclusion, and affirm the alternative hypothesis that the percentage of Americans who check their mail every day is not 90%.</p>
<p style="text-align:justify">This is my understanding.</p>Statistics Answershttps://www.mathhomeworkanswers.org/261438/americans-conclusion-hypothesis-conclusion-nontechnical?show=261462#a261462Sun, 19 May 2019 11:19:24 +0000Answered: How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line?
https://www.mathhomeworkanswers.org/261456/how-can-i-represent-1-3-3-3-7-3-10-3-and-15-3-on-a-number-line?show=261461#a261461
<p style="text-align: justify;">The first thing to realise is that all these numbers are multiples of the same fraction—one third. So, your number line just has to show the multiples: 1, 3, 7, 10, 15. Here’s what I would do:</p>
<p style="text-align: justify;"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=17022443792991826165" style="height:199px; width:400px"></p>
<p style="text-align: justify;">Here are two number lines. The red line shows the fractions spaced out in order and the blue line shows where the whole numbers lie. So, for example, 3/3 (three thirds) lines up with the whole number 1.</p>https://www.mathhomeworkanswers.org/261456/how-can-i-represent-1-3-3-3-7-3-10-3-and-15-3-on-a-number-line?show=261461#a261461Sun, 19 May 2019 10:58:15 +0000