Basic Math Questions and Answers

A carpet in the shape of a regular pentagon has an area of 2 940 square centimeters Find the length of each side of the carpet 28 cm 1X2 XPXq

Find the first six partial sums S1 S2 S3 S4 S5 S6 of the sequence whose nth term is given 52 62 72 82 S S S3 S4 S5 S6 5

Points 0 of 1 To attain the maximum proft assemble A chain saw requires 5 hours of assembly and a wood chipper 4 hours A maximum of 60 hours of assembly time is available The profit is 170 on a chain saw and 250 on a chipper How many of each should be assembled for maximum profit Save chain saws and wood chippers

Question 9 7 3 16 Part 1 of 4 HW Score points O Points 0 of 1 A zookeeper has a walrus with a nutritional deficiency She wants to make sure the walrus consumes at least 2200 mg of iron 2700 mg of vitamin B 1 and 1800 mg of vitamin B 2 One Maxivite pill contains 200 mg of iron 200 mg of vitamin B 1 and 100 mg of vitamin B 2 and costs 0 08 One Healthovite pill provides 100 mg of iron 150 mg of vitamin B 1 and 150 mg of vitamin B 2 and costs 0 09 Complete parts a c below subject to Save a What combination of Maxivite and Healthovite pills will meet the walrus s requirement at lowest cost What is the lowest cost Set up the linear programming problem Let m represent the number of Maxivite pills h represent the number of Healthovite pills and c represent the total cost in dollars C 0 200m 100h 200m 150h 100m 150h m20 h 20

Tow the ages of recent award winning male actors at the time when they won their award Make a frequency table for the data using bins of 20 29 30 39 and so on Click the icon to view the ages of male actors Complete the table below Age 20 29 30 39 40 49 50 59 60 69 70 79 No of actors Data table 39 55 20 77 49 51 43 38 44 52 0 I X 0 1 0 1 3 1

A group of adult males has foot lengths with a mean of 27 62 cm and a standard deviation of 1 34 cm Use the range rule of thumb for identifying significant values to identify the limits separating values that are significantly low or significantly high Is the adult male foot length of 30 7 cm significantly low or significantly high Explain Significantly low values are Type an integer or a decimal cm or lower Do not round 0 1

A dog food producer reduced the price of a dog food With the price at 12 the average monthly sales has been 21000 When the price dropped to 11 the average monthly sales rose to 28000 Assume that monthly sales is linearly related to the price

A 7 1 A horizontal force of 80 N is required to start a 30 kg block sliding along a horizontal surface What is the coefficient of static friction

The estimated population in thousands of people of city A can be modeled by the function tal f t 15 1 03 where t is the number of decades 10 year period since 1980 knoutonut odi The estimated population in thousands of people of city B can be modeled by the function g t 0 4t 16 where t is the number of decades since 1980 Part A Complete this table showing both estimated population values rounded to the nearest tenth for each city based on the number of decades since 1980 1 Decades Since 1980 n 2 Decades Since 1980 3 Estimated 0 1 2 3 4 Part B Using the table in Part A complete this table showing population increases in hundreds of people each decade Populations of Cities A and B City A City B thousands of people thousands of people 15 15 5 15 9 16 4 16 9 16 16 4 16 8 17 2 17 6 Population Increases from Previous Decade for Cities A and B Increase of City A hundreds of people f n f n 1 Increase of City B hundreds of people g n g n 1

Suppose a company s revenue function is given by R q q 210q and its cost function is given by C q 410 19g where g is hundreds of units sold produced while R q and C q are in total dollars of revenue and cost respectively A Find a simplified expression for the marginal profit function Be sure to use the proper variable in your answer MP q 39 420g 19 B How many items in hundreds need to be sold to maximize profits Answer OF hundred units must be sold Round to two decimal places

Assume that boys and girls are equally likely Find the probability that when a couple has three children there are exactly 0 girls www What is the probability of exactly 0 girls out of three children Type an integer or a simplified fraction

Use the data in the following table which lists survey results from high school drivers at least 16 years of age Assume that subjects are randomly selected from those included in the table Texted While Driving No Texting While Driving Drove When Drinking Alcohol No 2899 4467 Yes 679 192 If one of the high school drivers is randomly selected find the probability that the selected driver texted while driving and drove when drinking alcohol The probability that one randomly selected high school driver texted while driving and drove when drinking alcohol is Round to three decimal places as needed

This table shows the numbers of books by type checked out from the school library on Monday Book Checkout 1 to 2 2 to 1 3 to 4 4 to 3 Book Type mystery nonfiction adventure humor Number of Books 24 18 12 16 What is the ratio of mystery books checked out to nonfiction books checked out zu 24 18 1 80 ve x 3 as a

Current rules for telephone area codes allow the use of digits 2 9 for the first digit and 0 9 for the second and third digits but the last two digits cannot both be 1 to avoid confusion with area codes such as 911 How many different area codes are possible with these rules That same rule applies to the exchange numbers which are the three digits immediately preceding the last four digits of a phone number Given both of those rules how many 10 digit phone numbers are possible Given that these rules apply to the United States and Canada and a few islands are there enough possible phone numbers Assume that the combined population is about 400 000 000 How many possible area codes are there Type a whole number

Assume that hybridization experiments are conducted with peas having the property that for offspring there is a 0 75 probability that a pea has green pods Assume that the offspring peas are randomly selected in groups of 34 Complete parts a through c below a Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 34 The value of the mean is peas Type an integer or a decimal Do not round

The table below displays results from experiments with polygraph instruments Find the positive predictive value for the test That is find the probability that the subject lied given that the test yields a positive result Positive test results Negative test results Did the Subject Actually Lie No Did Not Lie Yes Lied 18 32 The probability is Round to three decimal places as needed 45 8

In a test of a sex selection technique results consisted of 209 female babies and 196 male babies Based on this result what is the probability of a female being born to a couple using this technique Does it appear that the technique is effective in increasing the likelihood that a baby will be a female The probability that a female will be born using this technique is approximately Type an integer or decimal rounded to three decimal places as needed

Use the data 9 10 11 13 14 15 Without actually computing the standard deviation determine the value below that best approximates the standard deviation Choose the correct answer below A 7 OB 20 OC 2 OD 10

Students were asked How stressed have you been in the last week on a scale of 0 to 10 with 0 being not at all stressed and 10 being as stressed as possible The students responses are shown in the frequency distribution below Construct a histogram and frequency polygon for the data Stress Rating 0 1 2 3 Frequency 3 2 4 20 a Select a histogram representing the given data frequency distribution O 30 20 O 10 0 HHH 0 1 2 3 4 5 6 7 8 9 10 Student Stress Rating 30 20 10 0 Student Stress Rating Frequency Frequency 4 5 6 7 8 9 10 10 20 10 26 26 11 14 b Select a polygon representing the given data frequency distribution 01 2 3 4 5 6 7 8 9 10 30 20 10 20 0 1 2 3 4 5 6 7 8 9 10 Stress Rating M 0 1 2 3 4 5 6 7 8 9 10 Stress Rating Q Q Q O O 30 20 10 0 30 20 104 0 Frequency Frequency Student Stress Rating 0 1 2 3 4 5 6 7 8 9 10 Student Stress Rating 0 1 2 3 4 5 6 7 8 9 10 30 20 10 0 30 20 104 0 0 1 2 3 4 5 6 7 8 9 10 Stress Rating 0 1 2 3 4 5 6 7 8 9 10 Stress Rating o o 57 Q o

and 12 Describe what is misleading in the visual display of data below World Population in Billions 12 3 4 5 6 100 4 1927 1960 1974 1987 1999 7 2012 2026 2043 Question 15 of 35 This question 1 point s possible Choose the correct answer below Submit te OA The bars on the vertical axis curve around the globe instead of being on a straig line OB The title does not explain what is being displayed O C Time intervals on the horizontal axis do not represent equal amounts of time O D Part of the time frame on the horizontal axis of the graph has been cut off

Graph the linear function using the slope and the y intercept y 2x 4 C Use the graphing tool to graph the linear equation Use the slope and y intercept when drawing the line Click to enlarge graph 12 This que 40 B Ay 12 10 8 pint s possible 40 40

What is the minimum number of colors needed such that no two adjacent regions have the same color 000 000 a 3 Ob 4 0c 2 O d 1

Determine the Chromatic Number of the following map A B C E D

Listed below are the playing times in seconds of songs that were popular at the time of this writing Find the a mean b median c mode and d midrange for the given sample data Is there one time that is very different from the others 444 237 233 243 243 292 284 223 247 214 267 240 214 258 251 254 a The mean is seconds Round to one decimal place as needed b The median is seconds Round to one decimal place as needed c Select the correct choice below and fill in any answer boxes in your choice OA The mode is seconds Use a comma to separate answers as needed Round to one decimal place as needed OB There is no mode d The midrange is seconds Round to one decimal place as needed Is there one time that is very different from the others tem temp temp tempt tempts tempts tempts

The heights in inches of 22 female students in a physical education class are shown below Approximate the mean height of students in a class Height in inches 60 62 63 65 66 68 69 71 Frequency 6792 4 Cue inches The mean height is Round to the nearest inch as needed ter tem tem temp

Determine whether the approximate shape of the distribution in the histogram is symmetric uniform skewed left skewed right or none of these 20 Choose the best answer below A Skewed left OB Symmetric OC Uniform OD Skewed right OE None of these 10

Find the volume of a cylinder if the radius and height are 8 cm and 7 cm respectively O 497 cm O 64 cm O 392 cm 448 cm

A circle has a circumference of 100 yards Find its area Use pi 3 14 O 796 square yards O 967 square yards O 1796 square yards

Cost in Dollars 60 00 70 00 60 00 50 00 40 00 30 00 20 00 10 00 50 00 64 35 62 00 2015 67 90 2016 2017 7124 2018 Year 79 15 75 50 2019 342 01 2020 2021 2022 A representative of the company made a linear equation of the data using the 2015 price as a starting value and the 2022 price as a second data point What is the company s equation Use Pc for the price per month and t for time in years since 2015 Round the slope to the nearest hundredth Pe 3 39r 62 A consumer advocate made a linear equation of the data using the 2017 price as the first data point and the 2019 price as a second data point What is the advocate s equation Use Pa for the price per month and t for time in years since 2015 Round the slope to the nearest hundredth The 2017 price is NOT the y intercept Neither is the 2015 price You will need to use the two data points from 2017 2019 to find it

Doubtful Accounts of 9 040 credit During the period it had net credit sales of 862 700 and collections of 838 670 It wrote off as uncollectible accounts receivable of 7 477 However a 3 049 account previously written off as uncollectible was recovered before the end of the current period Uncollectible accounts are estimated to total 26 310 at the end of the period Omit cost of goods sold entries a d a b c d List all debit entries before credit entries Credit account titles are automatically indented when amount is entered Do not indent manually If no entry is required select No Entry for the account titles and enter O for the amounts a No Account Titles and Explanation b Prepare the entries to record sales and collections during the period Prepare the entry to record the write off of uncollectible accounts during the period c Prepare the entries to record the recovery of the uncollectible account during the period Prepare the entry to record bad debt expense for the period d To record sales To record cash received To reinstate account previously written off To record cash received Debit Credit

You are given a feasible region Find the maximum and minimum if they exist for the given objective function If an answer does not exist enter DNE z 3x 2y maximum minimum 0 3 Additional Materials 7 13 9 3 10 6

If sin 0 B al and 0 is in Quadrant III find tan 0 2

69 DETAILS Graph the polar equation r3 9 sin 8 6 2 4 What type of curve is this ellipse olima on astroid circle parabola 10 8 10 X 12 2 6 320 y 10 8 6 2 4 X 6

a Sketch the graph of the parametric curve x 2 sint 2 y 3 cost 0 sts N 00 O 00 8 10 10 K X 2 8 10 Army 2 2 2 6 00 8 10 X b Eliminate the parameter t in part a to obtain an equation for this curve in rectangular coordinates

Sketch the graph of the equation 3x y 14y 28 0 y 6 4 10 2 5 5 10 15 20 3 10 15 20 5 y 3 M 10 15 20 10 20 15 10 A 10

DETAILS Find an equation for the conic whose graph is shown Assume that each point lies on a tick mark 1 P 4 0 X

Sketch the graph of the equation 16x 64y2 128x 64y 16 0 y 4 2 2 2 4 6 6 8 0 2

Blossom Company has delivery equipment that cost 47 000 and has accumulated depreciation of 23 000 Record entries for the disposal under the following assumptions List all debit entries before credit entries Credit account titles are automatically indented when amount is entered Do not indent manually If no entry is required select No Entry for the account titles and enter O for the amounts a b c No Account Titles and Explanation a b It was scrapped as having no value It was sold for 36 000 It was sold for 18 000 c Debit Credit

Problem 1 Simplify the following exponential expressions and write you answer without using negative exponents a 84sd 2 36s7d a 84 od 7 36 s d 12 b 7x 6y 2x y 7 x 12 d Xxx s 12 2 7 1 10 7 d 356

Problem 1 Solve the system of nonlinear equations 3y x 15 x y 25

If the volume of a cone is 314m and the height is 13 What is the approximate radius of the cone 20 6 8 5 11 9 72 4

A cylinder has a radius of 13 units and a height of 8 units find the volume and surface area of each Round your answer to the nearest tenth first decimal place Volume

The volume of a cylinder is 260 units cubed The height of the cylinder is 20 units Approximate the radius of the cylinder O 13 units 4 7 units 3 6 units O 11 units

A cylinder has a radius of 3 units and a height of 11 units find the volume and surface area of each Round your answer to the nearest tenth first decimal place Volume Surface area

The volume of a cylinder is 937 units cubed The height of the cylinder is 3 units What is the approximate radius of the cylinder 25 units 5 6 units O 31 units O9 8 units

A cylinder has a radius of 7 units and a height of 4 units find the volume and surface area of each Round your answer to the nearest tenth first decimal place Volume

Consider the equation and identify the center and radius Center Radius 10 5 10 5 5 51

Consider the equation and identify the center and radius x 2 y 1 81 Center Radius 1

Write the equation in standard form given The center 13 13 and radius 4 Standard form do not use spaces when tyning your

Consider the picture and identify the center and radius Center 5 0 5 5 4 9 5