Basic Math Questions and Answers

K the mean and standard deviation of the frequency distribution The mean is Type an integer or a decimal Do not round X f 3 4466 W 5 7 13402 D

As the manager of the human resources department at your firm you are investigating the number of sick days employees took during the last calendar year For employees in the marketing area the average number of sick days is 4 6 with standard deviation 2 3 for those in the research and design R D the mean is 5 3 with standard deviation 3 2 Compute and compare the coefficients of variation for each set of data What is the coefficient of variation for the marketing area CV V Round to one decimal place as needed

The table shows the scores of 20 people who took a paramedics licensing test Find the mean and standard deviation for these data The mean of the data is G Points 0 of 1 Score Frequency 73 5 74 1 77 5 81 6 83 2 84 1

Prorate the given expenses to find the monthly cost Keiko pays 340 per month for food a semi annual health insurance premium of 1600 and an annual car insurance premium of 650 Round your answer to the nearest dollar

a Give the five number summary for the distribution and b draw a box and whisker plot 9 23 23 18 28 30 47 19 45 29 35 35 47 46 53 a The five number summary for this data set is 9 23 30 46 53 Use ascending order Simplify your answers b Choose the correct box and whisker plot OA 5 10 15 20 25 30 35 40 45 50 55 O C F 5 10 15 20 25 30 35 40 45 50 55 oo OB 5 10 15 20 25 30 35 40 45 50 55 O D 5 10 15 20 25 30 35 40 45 50 O Oo

K A The mean is 400 43 Round to two decimal places as needed Part 4 of 4 The accompanying table gives the gross domestic receipts for the top 10 movies Find the mean median and mode for each data set Explain which measure best describes a typical value in this distribution Click the icon to view the data table A The median is 345 Round to two decimal places as needed OB There is no mean for these data Find the median Select the correct choice below and if necessary fill in the answer box to complete your choice OB There is no median for these data Find the mode s Select the correct choice below and if necessary fill in the answer box to complete your choice Points 0 75 of 1 A The mode s is are Round to two decimal places as needed Use a comma to separate answers as needed B There is no mode for these data Domestic Receipts of Top 10 Movies Movie Title Movie A Movie B Movie C Movie D Movie E Movie F Movie G Movie H Movie I Movie J Print Which measure best describes a typical value in this distribution A For this distribution the mean median and mode are equal so any value can be used to describe this distribution B The mean best describes a typical value in this distribution since the distribution is roughly symmetrical and does not contain any extreme values C The median best describes a typical value in this distribution since the distribution appears to be slightly asymmetrical and contains some extreme values distribution since each value occurs roughly the same number of times Save Total Gross millions 457 0 201 8 352 0 356 7 652 2 338 0 200 0 936 2 281 8 228 6 Done

Stephen sets up an IRA with an APR of 4 at age 26 At the end of each month he deposits 57 in the account How much will the IRA contain when he reaches 65 Round your answer to the nearest dollar

Calculate the monthly payment for a student loan of 20 934 at a fixed APR of 8 for 12 years Round to the nearest hundredth

Use the IVM solver for compounding more than once a year to determine the accumulated balance after the stated period 16 000 deposit at an APR of 4 with semiannual compounding for 12 years Round your answer to the nearest dollar

Use the TVM solver for compound interest to determine the accumulated balance after the stated period Assume that interest is compounded annually 3000 is invested at an APR of 7 for 12 years Round your answer to the nearest dollar

Calculate the amount of interest you ll have at the end of the indicated period using the simple interest formula You invest 500 in an account that pays simple interest of 2 for 7 years Round your answer to the nearest dollar

Fill in the missing steps Simplify your answers completely sin x cos x sin x tan x cot x cos x tan x cot x sin x cos x cos x sin x sin x cos x 1 sin x cos x 11 sin x sin x cor x cos x cos

Verify the identity Simplify your answers completely 5 sin z 6 cos z 5 sin z 5 1 cos z

A group of 20 students were asked how many times they visit a certain website per week and the following results were obtained Find the mean median and mode for the distribution 12 8 21 8 9 15 23 19 23 22 5 20 24 23 11 10 2 18 14 8 Find the mean Select the correct choice below and fill in any answer boxes in your choice A The mean is 14 8 Type an integer or decimal rounded to one decimal place as needed B There is no mean for these data C Find the median Select the correct choice below and fill in any answer boxes in your choice OA The median is Type an integer or decimal rounded to one decimal place as needed B There is no median for these data

bike bike walk skateboard car car bike walk car car skateboard bike bus car car car car bike walk bike Transportation walk bike OA 0 5 0 43 0 31 0 2 0 1 car skateboard bus Total Type integers or decimals Construct a bar graph for the data Choose the correct graph below O C 0 5 0 41 0 3 0 2 0 1 0 Walk Walk wym Relative Frequency 0 15 0 30 0 40 0 10 0 05 1 00 Bike Bike Car Skateboard Bus ation to campus of 20 students in a math course Construct a frequency table a relative frequency table and a bar graph for the data Car Skateboard Bus OB Bike 0 6 0 5 4 0 4 0 3 0 23 0 1 O D 0 43 0 3 0 2 0 13 Walk Car Skateboard Bus Walk Bike Car Skateboard Bus

The accompanying table gives the gross domestic receipts for the top 10 movies Find the mean median and mode for each data set Explain which measure best describes a typical value in thi distribution Click the icon to view the data table Find the mean Select the correct choice below and if necessary fill in the answer box to complete your choice A The mean is 400 43 Round to two decimal places as needed OB There is no mean for these data Find the median Select the correct choice below and if necessary fill in the answer box to complete your choice Points 0 25 of OA The median is Round to two decimal places as needed OB There is no median for these data

The list contains ages of 60 people who have volunteered to work for a charity Construct a relative frequency table and a histogram for the data given Construct a relative frequency table for the data Age 21 22 23 24 25 26 27 28 29 Total Relative Frequency 1 00 Type integers or decimals Round to the nearest hundredth 23 23 29 24 25 29 24 21 28 24 D 21 22 23 24 25 26 27 28 29 24 28 21 24 29 25 24 29 23 23 29 28 27 26 25 24 23 22 21 24 23 23 29 24 25 29 24 21 28 24 25 26 28 29 27 21 22 23 24 25 29

Many colleges assign numerical points to grades as A 4 B 3 C 2 D 1 and F 0 Find the grade point average for the following semester grade report The grade point average is Round to the nearest hundredth C

Assume that in one of the classes the student has earned test scores of 77 83 51 78 and only one test remains a If the student needs a mean score of 70 to earn a C then what must the student obtain on the final test b If the student needs a mean score of 80 to earn a B then what must the student obtain on the final test a The student must obtain a Type a whole number on the final test to get a C

Find the range mean and standard deviation of the data set 16 16 16 16 16 16 16 16 D The range is Type a whole number

The mean number of hours that Raphael worked over the past four weeks is 39 25 If he works 42 hours this week what will the mean number of hours be that he will have worked over the five week period What is the five week mean Simplify your answer

K Find the range mean and standard deviation of the data set 18 14 18 8 8 10 5 6 The range is Type a whole number

K Find the range mean and standard deviation for the data set 19 18 19 17 17 15 19 16 15 14 The range is Type an integer or decimal Do not round

distribution Click the icon to view the data table Find the mean Select the correct choice below and if necessary fill in the answer box to complete your choice OA The mean is Round to two decimal places as needed CIE OB There is no mean for these data Domestic Receipts of Top 10 Movies Movie Title Movie A Movie B Movie C Movie D Movie E Movie F Movie G Movie H Movie I Movie J Total Gross millions 457 0 201 8 352 0 356 7 652 2 338 0 200 0 936 2 281 8 228 6 X

The frequency table describes the living arrangements for adults in a certain country Compute the relative frequencies and use them to construct a bar graph Construct a relative frequency table for the data Status Relative Frequency Living alone Living with spouse Child of householder Living with partner Other Total Type integers or decimals Round to three decimal places as needed Status Living alone Living with spouse Child of householder Living with partner Other Total Number in thousands D 59 214 209 411 18 223 67 190 99 947 453 985

F Use the given graph to find the mean median and mode of the distribution Find the mean Select the correct choice below and fill in any answer boxes in your choice OA The mean is Type an integer or a decimal OB There is no mean for this distribution SKELE

The following data represent the modes of transportation to campus of 20 students in a math course Construct a frequency table a relative frequency table and a bar graph for the data bike bike walk skateboard car car bike walk car car skateboard bike bus car car car car bike walk bike Construct a frequency table for the data Transportation Frequency walk bike car skateboard bus Total 20 T

Find the mean median and mode for the following distribution 5 6 5 1 3 8 9 7 10 Find the mean Select the correct choice below and if necessary fill in the answer box to complete your choice OA The mean is Type an integer or decimal rounded to one decimal place as needed COLLE OB There is no mean for these data

K Find the mean median and mode for the following distribution 4 5 3 6 7 8 9 10 11 14 Find the mean Select the correct choice below and fill in any answer boxes in your choice OA The mean is Type an integer or a decimal OB There is no mean for these data

a What was the largest number of customers in the coffee shop and how often did it occur The largest number of customers was It occurred time s 12 0 1 2 3 4 5 6 7 8 9 10 11 12 Number of Customers

Webby Inc is a web development company Webby s monthly production function for developing websites is given in the table below a Fill in the marginal product column Instructions Enter your answers as a whole number Programmers 0 1 2 3 4 5 6 Websites Marginal Product 0 2 6 14 20 24 26 b Marginal product diminishes after the Click to select programmer

How many ways can you get exactly 1 tail Construct a tree diagram Choose the correct diagram below OA Begin Dime Nickel H H Penny H T T H T H H T L Quarter H T H H There is are exactly Type a whole number T H H PNDQ HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT T H way s to get 1 tail OB Begin Nickel H Penny H T Dime H T T H H T C Quarter V V V HTH TE V V V V V THTHE PNDQ HHHH THHH HTHH HHTT HHTH THTH HTTH HTTT HHHH HTTH THTH THTT TTHH THTT TTTH TTTT O C Begin Nickel H Penny H H Dime H H T H T T H H T Quarter H T V V V V H T H THE T PNDQ HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT

A storage container consists of a box of length 90 cm width 42 cm and height 34 cm and a lid in the shape of a half cylinder as shown in the diagram The lid fits the top of the box exactly The total exterior surface of the storage container is to be painted Find the area to be painted 42 a Find the area to be painted 3 90 34 diagram not to scale

K Assume that P A 0 4 P ANB 0 35 and the probability that neither A nor B occurs is 0 3 What is the probability of B P B Simplify your answer Type an integer or a decimal CITE

K If ten coins are flipped what is the probability of obtaining at least one head and at least one tail Consider the complement of the event before computing its probability P obtaining at least one head and one tail This question 1 point s possible Simplify your answer Submit tes

Singers E nrique K aty R ihanna and B runo are performing a charity concert for world hunger and their order of appearance will be chosen randomly The outcomes in the sample space be represented as strings of letters such as ERBK or KERB Complete parts a through c below a How many elements are there in this sample space Type a whole number b Express the event Rihanna and Bruno perform consecutively as a set Choose the correct answer below A RBKE RBEK KRBE ERBK KERB EKRB B RBKE RBEK KRBE ERBK KERB EKRB BRKE BREK KBRE EBRK KEBR EKBR OC RBKE KRBE KERB BRKE KBRE KEBR OD BRKE BREK KBRE EBRK KEBR EKBR CE c What is the probability that Rihanna and Bruno perform consecutively Type an integer or a decimal

Radio stations that are on the west side of a nation have call letters consisting of a K followed by four letters K can be used again How many different call letters of this type are possible There are different call letters that can be formed Simplify your answer

Assume you are rolling two dice the first one is red and the second one is green Use a systematic listing to determine the number of ways you can roll a total of 7 on the two dice In how many ways can you roll 7 ways

Use estimation to select the best response Do not calculate When using the average daily balance method for the month of September t is which of the following 31 365 1 12 30 365

Use estimation to select the best response Do not calculate If you purchase an item for 1 290 at an interest rate of 9 8 and you finance it for 1 year about how much is the amount of add on interest O 13 O 130 O 500

If I Prt and P 49 233 45 r 10 5 and t 2 years estimate I O 600 O 10 000 O 50 000 O 120 000 K

Growth Company s current share price is 19 95 and it is expected to pay a 1 30 dividend per share next year After that the firm s dividends are expected to grow at a rate of 4 3 per year a What is an estimate of Growth Company s cost of equity The required return cost of capital of levered equity is Round to two decimal places

Differentiate g x x 2 1

9 5 x 9 0 dx

2012 34 1 of all glass containers were recycled A beverage company used 450 000 lb of glass containers per year After recycling the amount of glass in pounds still in use after t years is given by N t 450 000 0 39 3 Find N 5 and explain its meaning b Find N 5 and explain its meaning c When will 7 of the original amount of glass still be in use a N 5 lb Round to two decimal places as needed CITE

x bir sayma say s d r a x b 2 c 14 x oldu una g re a b c arp m en ok ka t r A 80 B 90 C 100 D 120 E 150

4 Determine whether or not the following 2 step methods satisfy the root condition If yes classify them as either strongly or weakly stable a The Leapfrog method W 1 W 1 h 1 2f t w

Espa ol The data points show the distance y in meters required to stop a train traveling at a speed x in kilometers p Each figure has the same data points However each figure has a different curve fitting the data The equation for each curve is also shown Answer the questions that follow 2500 2000 1500 1000 500 y 1 5x Figure 1 100 125 3x 2675 a Which curve fits the data best O Figure 1 O Figure 2 2500 2000 1500 1000 500 Figure 2 y 0 29x 1 48x 100 2500 2000 1500 P 1000 500 Figure 3 y 0 12x O Figure 3 b Use the equation of the best fitting curve from part a to predict the distance required to stop the train when it is travelling 20 kilometers per hour Give an exact answer not a rounded approximation meters 100 25 1x 52 1 0 K

Step 4 Average rate of Change 4 pts Compute the average rate of change per year of the cost over each time period Just fill in the result don t show the calculation Time Line Price dollars 1970 1980 2003 2009 2013 2015 0 20 0 50 2 00 2 25 2 50 2 75 Average rate of change XXXXXXXXXXXXX Do these values suggest a linear trend Explain

15 Suppose a company is able to determine functions that predict its revenue and costs as R x x 30 x and C x 6x 44 A Find the marginal profit function B Find the range of x values for which the profit is positive