Basic Math Questions and Answers

Question 1 An acceptable paraphrase changes the wording of the original True O False Question 2

What will it cost to place baseboard around the region shown if the baseboard costs 0 55 per foot No baseboard is needed for the 2 foot doorway 8 ft 2 DOOR 2 ft 17 ft 7 ft 2 ft ON G Question 19 of 40 The baseboard for the region shown would cost Type an integer or a decimal

AABC and AADE are similar Find the length of side CA a D 12 63 B3 A

This question 1 point s possible Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head Then use a calculator to perform the computation How reasonable is your estimate when c 71 98 3 9 An estimate of the quotient is Type a whole number The actual quotient is Round to three decimal places as needed How reasonable is your estimate when compared to the actual answer OA Reasonable The estimate seems a little higher compared to the actual answer OB Not reasonable The estimate seems a little lower compared to the actual answer OC Not reasonable The estimate seems a little higher compared to the actual answer poonable The estimate seems a little lower compared to the actual answer GLEZE

Express 40 miles per hour in kilometers per hour SCHICH km hr Round to the nearest whole number as needed

on 7 below contains three underlined parts one of w of the sentence where the problem is that results

Question 6 The following sentence is a run on sentence because Choose the correct way to fix the underlined problem

AT 100 Y Normal t equation w 20n models the total weight o nds that a beekeeper expects to collect from Graph the relationship modeled by the equat

The gross tonnage G is a standardized measure of a ship s capacity It is calculated in terms of the volume V in cubic meters of the ship There are no units associated with gross tonnage It is calculated using the formula G V 0 2 0 02 log V In this exercise round your answers to the nearest whole number a Find the gross tonnage of a ship with a volume of 11 000 cubic meters b Use the crossing graphs method to find the volume of a ship with a gross tonnage of 2000

At a store strawberries cost 8 25 for 3 pounds Blueberries cost 11 60 for 5 pounds Which statement is true

Question 4 ind P 2 for P x 2x 4 2x 3 4x 2 7 the remainder for the associated division and the val

This quiz 16 point s possible This question 1 point s possible A community college has 1600 parking spots on campus When it builds its new library the college will lose 120 of its parking spots What will be the percent decrease in the number of available parking spots The number of available parking spots would decreased by Type a whole number or a decimal Question 5 of 16

Express the rational number as a decimal 14 14 16 11

Which scatter plot indicates no correlation A D The graph shows a scatter plot with no correlation Type A B C D E or F B RECTID This quiz 12 pointis possible This question 1 points possible C F

r the correlation coefficient using the following data Round to three decimal places X y 62 2 4 6 8 1 53 5 3 26

4 2 3 1 0 6 y 17 9 5 8 11 17 OA 22 TTT 10 Q NXBU The variables appear to be related 9 21 3 14 The variables appear to be related Chibe whether or not the variables appear to be related B 10 9 O C 10 22 TTTTT 21 Q quiz 12 point s possible This question 1 point s possible Q The variables appear to be related O D 10 21 Q The variables do not appear to be related Sub

Find all solutions to the following system of congruences x 1 mod 2 x 1 mod 3 x 2 mod 5 x 1 mod 11 Carefully show your work For the toolbar press T DC

5 a At mail time you receive a check for 25 and an envelope with neither a bill nor a check What addition by 0 fact has been illustrated b At mail time you receive a postcard from your friend and a bill for 32 What addition fact is illustrated c What is illustrated if your mailbox has a bill for 10 and a check for 10

Use the data to the right on the minutes a certain actor spent shirtless in movies to complete parts a through c below Movie B C D Minutes Shirtless X 0 0 7 1 5 1 6 14 8 Opening Weekend Gross millions of dollars 6 1 8 5 16 1 17 8 21 6 a Determine the correlation coefficient rounded to two decimal places between the minutes the actor appeared shirtless in a film and the film s opening weeken Do not round until the final answer Then round to two decimal places as needed

Use the data to the right to complete parts a through d below Generation Millennials Gen X Boomers Silent Greatest Generation Percentage Who Won t Try Don t Approve of Sushi Marriage Equality X 39 50 60 71 y 30 41 55 65 a Determine the correlation coefficient between the percentage of people who won t try sushi and the percentage who do not approve of marriage r Do not round until the final answer Then round to two decimal places as needed Instructor tip Use a calculator to calculate the correlation coefficient r Instructions are in iCollege

The relationship between the percentage of married women of child bearing age using contraceptives and births per woman in selected countries Use the scatter plot to determine whether the following statement No two countries have a different number of births per woman with the same percentage of married women using contraceptives Click the icon to view a scatter plot of contraceptive prevalence and average births per woman Choose the correct answer below A The statement is false There are at least two countries with the same x axis value that have different y axis values OB The statement is false There are at least two countries with the same y axis value that have different x axis values C The statement is true No two countries share the same data point location OD The statement is true No two countries with the same x axis value have different y axis values Graph chart Births per Woman Contraceptive Prevalence and Average Number of Births per Woman Selected Countries 10 tark 8 4 2 0 0 www 10 A 50 40 60 30 20 Percent of Married Women using Contraceptives TO 80 Q a S

In which scatter plot is r 0 7 A D The graph shows a scatter plot with a correlation coefficient of r 0 7 Type A B C D E or F Question 9 12 6 29 B E 10 GFEED HW Score 0 0 of 12 points O Points 0 of 1 C F

HW Score 0 0 of 12 points O Points 0 of 1 The table to the right shows teenage drug use in different countries Make a scatter plot for the given data Use the scatter plot to describe whether or not the variables appear to be related Make a scatter plot of the given data Choose the correct graph below A Other Illegal Drugs 9 40 20 0 0 20 40 60 Marijuana G OB Other illegal Drugs 0 40 20 A 0 E 0 20 40 60 Marijuana Q Q 5 Part 1 of 2 O c Other llegal Drugs A 40 20 TEETER OINAHIAHHHH 0 20 40 60 Marijuana Q Country A 8 C D E F Who Have Used Other legal Marijuana Drugs X y 22 18 15 42 6 37 19 OD 40 Pha 2014 0 0 20 40 60 12 2 31 6 7 Q Country G H 1 J K Save Who Have Used Other legal Marijuana Drugs X 21 0 7 6 64 31 4 4 6 22 1 4

on 5 7 3 55 Part 1 of 2 The formulas below are the cost and revenue functions for a company that manufactures and sells small radios C x 154 000 35x and R x 46x a Use the formulas shown to write the company s profit function P from producing and selling x radios b Find the company s profit if 22 000 radios are produced and sold The company s profit function is P x Simplify your answer

OA 0 quadratic function HW Score 69 23 9 of 13 points Points 0 of 1 plot for the data in the table Then use the shape of the scatter plot given to determine if the data are best modeled by a linear function an exponential function a logarithmic function or a quadratic function Q G OB L linear function Q Q G GITS OC S of exponential function Q Q G OD 54 logarithmic function Q 03 19 23 10 0

1 4 Determine the slope of the curve x y 3xy dy dx 1 5 Determine d y dx if x 0 sin 0 and dy dx 1 1 cos 0

Time min Temperature F OA Choose the correct scatterplot below OC Temperature degrees Fahrenheit w 250 200 150 100 50 0 A 250 200 150 100 50 0 10 at Water Temperature 10 TEEP 212 and then left in a room that is kept at a constant temperature of 74 F The water s temperature is recorded at certain intervals Create a scatterplot for the data 15 25 40 157 134 110 55 96 10 173 20 30 40 50 60 Time min Water Temperature 10 20 P 10 40 50 30 Temperature degrees Fahrenheit 12 1 30 Q C G 60 92 GIED B D Time min Temperature degrees Fahrenheit A 250 200 150 100 50 0 0 250 200 150 100 50 0 0 Water Temperature 10 20 30 40 50 Temperature degrees Fahrenheit Water Temperature 60 10 20 30 40 50 60 Time min Q L Q Q C

Make a scatterplot of the following points 4 5 6 2 5 4 1 X y 1 CHECK Plot the points on the graph to the right First plot the point 1 2 2 8 6 2 0 0 2 6

O Points 0 of 1 First create a scatter plot for the data in the table Then use the shape of the scatter plot given to determine if the data are best modeled by a linear function an exponential function a logarithmic function or a quadratic function A Ay 0 exponential function ou B 0 quadratic function Q G COD OC Ay linear function Q Q S O D logarithmic function Q C Save xy 0 3 0 1 0 5 0 3 2 1 7 2 2 2 4

Bippy Corporation has 400 in debt and 600 worth of equity First calculuate the capital structure weights by filling in cells E20 E22 and E24 E25 Next calculate the Weighted Average Cost of Capital in cells E27 E29 and E31 Tax rate 25 Cost of debt 6 Cost of equity 10 Debt Capital Equity Capital Total Capital Debt weight Equity weight Cost of debt Cost of equity tax rate WACC 400 600 1000

Time minutes Cells 1000 s Choose the correct scatterplot below OA O C Time minutes Cells 1000 s A 120 100 80 60 40 20 0 0 120 100 80 60 40 20 0 0 n 15 8 Number of Bacteria Cells 25 25 50 Cells 1000 s 25 12 Number of Bacteria Cells 50 Time minutes 75 75 35 17 100 100 Q Q 50 28 60 40 utes after the start of an experiment Create a scatterplot for the data 90 113 OB OD Time minutes Cells 1000 s 120 100 80 60 40 20 0 0 A 120 100 80 60 40 20 0 0 Number of Bacteria Cells 121 REPELA 14 25 50 Cells 1000 s 25 Number of Bacteria Cells 75 50 Time minutes 75 100 100 Q Q Q Q 5

Use the scatterplot of distance vs time to answer parts a and b a What is the increment on the x axis b What is the increment on the y axis www a The increment on the x axis is minute s Distance feet 16 12 8 4 Distance vs Time 8 12 16 Time minutes 20 24 Q 2

Using the table below and the SUMIF function calculate the total completions COMP and attempts ATT for each NFL tear the range 18 139 Remember some teams have more than one QBI AYER aron Rodgers QB ex Smith QB andrew Luck QB ndy Dalton QB en Roethlisberger QB randon Weeden QB am Newton QB arson Palmer QB ase Keenum QB had Henne QB Christian Ponder QB Colin Kaepernick QB Drew Brees QB EJ Manuel QB Eli Manning QB Geno Smith QB Jake Locker QB Jason Campbell QB Jay Cutler QB Joe Flacco QB Josh McCown QB Kellen Clemens QB Matt Cassel QB Matt McGloin QB Matt Ryan QB Matt Schaub QB Matthew Stafford QB Michael Vick QB Mike Glennon QB Nick Foles QB Peyton Manning QB Philip Rivers QB Robert Griffin QB Russell Wilson QB Ryan Fitzpatrick QB Ryan Tannehill QB Sam Bradford QB Terrelle Pryor QB Tom Brady QB Tony Romo QB TEAM GB KC IND CIN PIT CLE CAR ARI HOU JAX MIN SF NO BUF NYG NYJ TEN CLE CHI BAL CHI STL MIN OAK ATL HOU DET PHI TB PHI DEN SD WSH SEA TEN MIA STL OAK NE DAL COMP ATT 193 308 343 363 375 141 292 362 137 305 152 243 446 180 317 247 111 180 224 362 149 142 153 118 439 219 371 77 247 203 450 378 274 257 217 355 159 156 380 342 290 508 570 586 584 267 473 572 253 503 239 416 650 306 551 443 183 317 355 614 224 242 254 211 651 358 634 141 416 317 659 544 456 407 350 588 262 272 628 535 TEAM ARI ATL BAL BUF CAR CHI CIN CLE DAL DEN DET GB HOU IND JAX KC MIA MIN NE NO NYG NYJ OAK PHI PIT SD SEA SF STL TB TEN WSH Completions Atter

You work for the CEO of a new company that plans to manufacture and sell a new type of laptop computer The issue now is how to finance the company with only equity or with a mix of debt an equity Expected operating income is 600 000 Other data for the firm are shown below How muc higher or lower will the firm s expected EPS be if it uses some debt rather than only equity i e wh EPSLEPSU Oper income EBIT Required investment Debt S of Debt of Common equity Shares issued 10 share Interest rate Tax rate Required investment Debt of Debt S of Common equity Shares issued at 10 share Interest rate Tax rate Operating income EBIT Interest Taxable income Taxes Net Income Earnings per share EPS Difference in EPS Fill in D42 G46 and G48 0 Debt U 2 500 000 0 00 0 2 500 000 250 000 n a 35 00 600 000 60 Debt L 0 0 Debt U 600 000 2 500 000 0 0 0 00 2 500 000 250 000 NA 35 2 500 000 60 00 1 500 000 1 000 000 100 000 10 00 35 00 600 000 150 000 00 60 Debt L 600 000 2 500 000 60 0 1 500 000 1 000 000 100 000 10 00 35 Ctrl

L 2 3 4 5 5 7 B 9 0 1 2 13 14 15 L6 17 18 A B C D E Tax rate 25 Cost of debt 6 Cost of equity 10 F Bippy Corporation has 400 in debt and 60 First calculuate the capital structure weight Next calculate the Weighted Average Cost

x fx B C D Mandy and Moe Inc has a capital and its beta leveraged is 1 18 Bas be if it used no debt i e what is it

fx C uncle is considering investing in a new co s price would be set at 1 5 times the varia 00 and fixed costs are estimated at 1 20 to have EBIT zero Variable price per unit Sales price Fixed Cost D Break even quantity

QUESTION 24 Given the table below that describes which habitat variables influence presence vs absenc blanks in this statement summarizing results California sea lions are more likely to be present in islands with values of Color variable describing rock color Among the six TABLE 4 Variable weight w average model coefficient average standard error SE odds ratio OR and the C confidence interval 95 CI for all 6 explored variables Varia described in Table 1

Let u 5 2 3 v 0 1 5 and w 2 6 5 Compute the indicated vectors a u v b u v c u v w d w w x v e w x w f 6v 2u 6v 2u

Newark Bowling Lanes charges 3 00 for shoe rental and 5 00 per game Middletow Bowl a Rama charges 5 00 to rent shoes and 2 50 per game After how many gam will the cost of bowling be the same

Viliall L L DII ALGE Circun Find the circu

Find the work in foot pounds required to stretch a spring 6 feet beyond its normal length if the force required to stretch the spring s feet beyond its normal length requires a force of 15s lbs

6 points Julie and Eric row their boat 16 miles downstream for 2 hours helped by the current Rowing at the same rate the trip back against the current takes 8 hours Find the speed of the current and the speed of the boat

Use De Morgan s Laws to find the negation of the given statement Yoshiko knows Java and Calculus For the toolbar press ALT F10 PC or ALT FN F10 Mac

Identify the type of the given propositions PAF pvp vp T q F A Tautology B Contingenc C Contradictie

What should be the missing entry in the truth table of the compound proposition to conclude that it is a tautology

A sunflower grows at a rate of 1 a day another grows at a rate of 7 per week Which is growing faster Assuming they start at the same height compare their heights at the end of 1 and 5 weeks Assume both plants have initial height a The plant is growing faster Round your answers to three decimal places Note that a is already written for you in the answers do not enter a in the answer box only the appropriate coefficient of a The height of the first plant after 1 week is The height of the second plant after I week is The height of the first plant after 5 weeks is i i i a a a

For the investment described below V is the investment amount in dollars and r is the elapsed number of years V 6000 1 048 a Describe in words how the value of the investment changes over time Enter the exact answers The value of the investment starts at S The investment earns interest b Looking at the constants 6000 1 048 and 3r in particular what do these communicate about how the value of the investmer changes over time Round your answer to two decimal places

The area of a wetland drops by a fifth every four years What percent of its total area disappears after twenty years Round your answer to two decimal places of the wetland s total area disappears after twenty years

Find where the graph is increasing and decreasing 10