Questions

Find the critical value Za 2 that corresponds to the given confidence level 82 Za 2 Round to two decimal places as needed D

A rapid transit service operates 189 trains along five routes A B C D and E The number of trains assigned to each route is based on the average number of daily passengers per route given in the following table Use Webster s method to apportion the trains The standard divisor is 58 13 Route A B C D E Average Number of Passengers 1098 1349 1548 1514 5478 Route Number of apportioned trains A

p Type integers or decimals

For each of the following graphs obtain a lower bound L A for the area enclosed by the curve by adding the areas of the squares enclosed completely by the curve Then obtain an upper bound U A for the area by adding the areas of the squares enclosed either partially completely by the curve Notice the squares in the first graph are 1 by 1 squares and the squares in the second graph are 1 2 by 1 2 squares a L A b U A a L A 7

E 1 1 2

The transit department for some city has 99 new buses to be apportioned among six routes The department decides to apportion the buses based on the average number of daily passengers per route as shown in the table below Use the table to answer parts a through c Route A B C D E F Total Passengers 9130 14 620 11 385 6515 25 420 7675 74 745 a Determine the standard divisor Type an integer or decimal rounded to the nearest hundredth as needed

Hint s Check My 2016 the Better Business Bureau settled 75 of complaints they received in the United States Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers You plan to select a sample of new car dealer complain imate the proportion of complaints the Better Business Bureau is able to settle Assume the population proportion of complaints settled for new car dealers is 0 75 the same as the overall proportion of complaints settled in 2016 Use the z table Suppose you select a sample of 200 complaints involving new car dealers Show the sampling distribution of p F to 2 decimals to 4 decimals Based upon a sample of 200 complaints what is the probability that the sample proportion will be within 0 03 of the population proportion to 4 decimals robability Suppose you select a sample of 490 complaints involving new car dealers Show the sampling distribution of 5 to 2 decimals to 4 decimals Based upon the larger sample of 490 complaints what is the probability that the sample proportion will be within 0 03 of the population proportion to 4 decimals probability e As measured by the increase in probability how much do you gain in precision by taking the larger sample in part d increased by to 3 decimals There is a gain in precision by Select your answer V the sample size

A car manufacturer has 154 cars of a new model to be apportioned to four dealerships The manufacture decides to apportion the cars based on the number of cars each dealership sold in the previous year The number of cars sold by each dealership is shown below Use the table to answer parts a through c Dealership A B C D Total Annual Sales 5214 3944 3380 2246 14 784 a Determine the standard divisor Tyne an integer or decimal rounded to the nearest hundredth as needed

Suppose a random sample of size 56 is selected from a population with 11 Find the value of the standard error of the mean in each of the following cases use the finite population correction factor if appropriate a The population size is infinite to 2 decimals b The population size is N 50 000 to 2 decimals x c The population size is N 5000 to 2 decimals x d The population size is N 500 to 2 decimals X

Estimate the areas under the curve by computing the left Riemann sum Lg 1 M 1 8 1 0

16 B F

height of the Eiffel Tower Antoine placed a mirror 500 meters away from the tower He then positions himself as shown so that the top of the tower is visible in the mirror He is standing 2 75 meters from the mirror and his eyes are 1 8 meters off the ground How tall is the tower

Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year Three years ago her collection was worth 600 000 Two years ago the value of the collection was 690 000 and last year the collection wa valued at 793 500 Assume that the rate at which Madame Pickney s art collection s value increase remains the same as it has been for the last three years The value of the art collection can be represented by a geometric sequence The value of the collection three years ago is considered the first term in the sequence What explicit rule can be used to determine the value of her art collection n years after that O a 600 000 1 15 1 a 600 000 1 9 1 O an 600 000 1 1 1 600 000 0 1

What is a recursive rule for the geometric sequence 6 18 54 162 Enter your answers in the boxes a1 an Basic 7 8 9 X D

Jeff is at the position marked X and wants to find the height of the tower shown Viewing from the ground he positions himself so that the top of the flagpole is directly in his line of sight to the tower The flagpole is known to be 18 feet tall Jeff is 20 feet from the flagpole and the flagpole is 40 feet from the tower How tall is the tower Both the flagpole and tower are assumed to be perpendicular to the ground

118 Suppose that a 3 and i 3 118 and b 21 i 3 Compute the following sums 118 a ai bi i 3 118 b 4ar 19bi i 3 1

Jeff is at the position marked X and wants to find the height of the tower shown Viewing from the ground he positions himself so that the top of the flagpole is directly in his line of sight to the tower The flagpole is known to be 18 feet tall Jeff is 20 feet from the flagpole and the flagpole is 40 feet from the tower How tall is the tower Both the flagpole and tower are assumed to be perpendicular to the ground

Consider the function f x whose second derivative is f x 4x 10 sin x If f 0 2 and f 0 4 what is f 4

Find the antiderivatives for P dP 20 4x da C

Let f x 1 cos x a Find the most general formula for f x If an arbitrary constant must be used here use an upper case C f x b Based on your answer to a find the most general formula for f x If another new arbitrary constant must be used here use an upper case D f x

Consider the function f x 123 18a2 4x 5 Find F a an antiderivative of f x F x C

Find the antiderivatives for dy dx 800x6 y C

Figure 32 6 Animal skeletons The forelimb and hindlimb bones of these animals differ according to the locomotor functions of the limbs fernur fore metatarsals hindlimb tibia fibula tarsals c Cat Table 32 2 Comparison of Hindlimb to Forelimb Animal Frog Differences in Hindlimb and Forelimb Bones and Explanation Bird Cat Human

6 12 in 0 in 22 in 9 in 11 in P A 7 10 f 6 ft P 32 ft A

11 06 Sin 2xdx

Work required Find the area of the region in the first quadrant that is bounded above by y and below by the x axis and the line y x 2 Include a sketch of the region the initial integral set up and all necessary steps to solve Enter a numerical answer in the space provided Use fractions as needed and not decimals Use SQRT for radical sign if needed

It took 14 6 gallons of gas to fill the gas tank of Kim s car She had driven 364 3 miles since her last fill up How many miles per gallon did her car get Round to the nearest tenth The gas mileage of the car to the nearest tenth of a mile is mpg Type an integer or a decimal rounded to the nearest tenth as needed

2 fix e dx

4 3y 2z 4 2x 3y 2x 2 3x y 2z 7 A 3 3 1 C 3 2 2 6 x 3y 2 3x 2y z3 2x 2y 3z 5 A 2 2 3 C 1 1 2 B 1 0 2 D 1 2 0 B 0 2 2 D 2 0 3

7 xpx x 17

Systems in Inree variables Use Cramer s Rule to solve each system 1 y z 2 3x y 3z 15 2x y 2z 7 2 A 1 2 2 C 2 2 1 B 3 3 1 D 1 3 3 A 3 2 0 C 3 3 3 2 x 2y 3z 7 x 3z 3 3x y 2z 7 B 2 3 2 D 0 1 1

8 8 75 Ax 4cosxdx

Match the indefinite integrals with an equivalent expression below A dx B Jedz C z dz D f sec ada Pick from the following a ce C b tan C c sec a tan x C d C e n 1 n 1 C f et C g In x C n 1 x 1 C f g

3 3x 3y 3z 12 x y 2z 4 3y z 6 A 3 0 2 B 1 0 1 C 0 2 2 D 2 2 5 2x 2y z 5 3x 2y 3z 6 2x 2y 8 A 2 3 3 C 2 2 3 B 1 3 1 D 2 3 2

Work required Find the indefinite integral f8cscy coty cscy dy 08 8 coty C 08 cot y cscy 8 cot y C 8 cot y csc y C O 8 coty cscy C O 8 coty 8 cscy C

Work required Find the indefinite integral f 3 3 C 1 3 C 0 1 3 3 12u 4 443 C 12u 4 6u 4u 15 du

If f is an even function then f f x dx 0 True False

Work required Find the indefinite integral fu 5 udu 5 u7 14 C O 2 5 u 3 21 C 5 u C 21 O2 5 47 C 21 O2 5 u 35

Find the center and the radius of the circle Then graph the circle x y2 4x 4y 28 0 a What is the center of the circle b What is the radius of the circle c Graph the circle Upload a picture of your graph ATY FE BI III 80 US X2

Divide 38 514 100 38 514 100

Divide 1282 68

Divide 5 33 5 The quotient is Type an integer or a decimal

Required information The following information applies to the questions displayed below Renee operates a proprietorship selling collectibles over the Web This year Renee s business reported revenue of 95 5 million and deducted 88 6 million in expenses and loss carryovers Her business deductions included cost of goods sold of 48 5 million sales commissions paid of 16 9 million 10 5 million of interest paid on a mortgage 10 7 million of depreciation and 2 million deduction for a net operating loss carryover c Suppose that Renee s revenue includes 5 million of business interest income What is the maximum amount of business interest expense that could be deducted this year under the business interest limitation Note Do not round intermediate calculations Enter your answer in millions of dollars rounded to 2 decimal places Deductible Business Interest Expense million

AB BC CD DE EA P A d x x2 y y2 A B E D

Where is the hole for the following function located x 3 f x x 4 x 3 x 3 y 3 x 3 y 3

3 m m 9 What is the solution to the equation m 3 3 m m 9 m 3 m 6 O all real numbers no solution

What is the horizontal asymptote of f x 2x X 1 O O O O y 2 y 1 y 0 y 1

Which graph represents the function f x x 2 10 8 6 4 10 10 8 8 6 4 1999 91 7 9 9 9 4 6 8 10 x 468 10 2 4 6 8 10

Simplify the expression 4x 4x 822 22 2 4x 2 1 2x 222 2 4x 2 1 H

P X A 9 19 7 cm 12 cm x I P X 8 cm A 6 cm