Questions

Suppose that the functions and g are defined for all real numbers x as follows f x 4x 4 g x x 6 Write the expressions for f g x and g x and evaluate f g 2 S 8 x 1 8 x X 1 8 2

A tip in a restaurant has been typically figured at 15 of the total bill Complete parts a through c a If the bill is 52 what would be the typical tip The typical tip would be Round to the nearest cent as needed

The quantity z varies directly with y and inversely with x When y 8 and x 4 z 1 What is the value of k the constant of variation Write your answer in the form A or where A and B are constants or variable expressions

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The mortgage company requires a 14 down payment on houses it finances If the Sumis bought a house for 114 000 how much down payment did they have to make The Sumis had to make a down payment of

3 4 5 6 7 8 9 10 A 11 12 10 IF f x 3x 11 and 9 x x 7 find go f 6 Type a response D

Chris puts 5900 into a certificate of deposit CD account at a simple interest rate of 5 per year Answer the following a How much interest will Chris earn in 1 year b How much money will Chris have in his account at the end of the year a Chris will earn in interest in one year Simplify your answer

On a test of 73 items Pedro got 90 correct There was partial credit on some items How many items did he get correct incorrect Pedro got 65 70 items correct Type a whole number or decimal rounded to two decimal places as needed Pedro got items incorrect Type a whole number or decimal rounded to two decimal places as needed

The U Gym provides weight resistance through adjustments of incline The minimum weight resistance is 8 of the weight of the person using the U Gym Find the minimum weight resistance possible for a 230 pound man The minimum weight resistance possible for a 230 pound man is pounds Type an integer or a decimal

3 4 5 6 7 8 9 6 Evaluate 2e 1 1 2 2 9 025 2216 18 05

A 280 suit is on sale for a 30 discount What is the sale price of the suit

The purchase price of a camcorder is 984 What is the total price if the sales tax rate is 7 5 www

Translate to an equation and solve What is 55 of 278 is 55 of 278 Simplify your answer Type an integer or a decimal

An owner of a repair service company estimates that for every 30 hours a repairperson is on the job he can bill for only 78 of the hours For the remaining hours the repairperson is idle or driving to or from a job Determin the number of hours per 30 hour week the owner can bill for a repairperson The number of hours per 30 hour week the owner can bill for a repairperson is Type an integer or a decimal

Bill got 45 correct answers on a 75 question test What percent of the questions answer incorrectly Bill answered of the questions incorrectly

14 A teacher is analyzing the class results for a physics test The marks are normally dis with a mean u of 76 and a standard deviation of 4 Fill in the values at each standard deviation increment on the graph below Physics Test Marks 0 76 10 20 30 40 lo Mark 40 30 20

An airline ticket cost 280 without the tax If the tax rate is 7 what is the total bill for the ticket The total ticket cost is Simplify your answer Type an integer or a decimal Round to the nearest cent if needed

On a test of 73 items Pedro got 90 correct There was partial credit on some items How many items did he get correct incorrect Pedro got items correct Type a whole number or decimal rounded to two decimal places as needed

An arrow is shot vertically upward from a platform 16 ft high at a rate of 191 ft sec When will the arrow hit the ground Use the formula 162 vor ho Round your answer to the nearest tenth

Electron transport takes place in the Mitochondrial membrane stroma cellular membrane

Marc had 50 boxes of candy to sell He sold 10 of the boxes How many did he sell Marc sold boxes of candy

In 2016 there were about 43 500 cinema screens in a country If about 33 1 of the total screens in the country were digital 3 D screens find the approximate number of digital 3 D screens There were approximately digital 3 D screens Round to the nearest whole number as needed

On a test of 79 items Pedro got 90 correct There was partial credit on some items How many items did he get correct incorrect Pedro got items correct Type a whole number or decimal rounded to two decimal places as needed

The quantity a varies directly with b and inversely with c and d When b 9 c 3 and d 7 a 3 What is the value of k the constant of variation Write your answer in the form A or or where A and B are constants or variable expressions

7 At the end of a bowling tournament three friends analyzed their scores Erinn s mean bowling score is 92 with a standard deviation of 8 Declan s mean bowling score is 130 with a standard deviation of 18 Matt s mean bowling score is 116 with a standard deviation of 33 28 Based on the means of their scores who appears to be the strongest bowler bom ost 251032 1 125 CoziH a Impossible to tell 8 00 b Declan CO 18 eg C Matt 38 d Erinn 8 Based on the standard deviation values of their scores which of the friends from Question 6 appears to be the most consistent bowler a Impossible to tell b Declan C Matt d Erinn

O Which description does not describe the graph of normally distributed data 052 129 291002 1251 gniwollo srl A2 E2 20 b c d a shaped like a bell starts off increasing then decreases symmetrical on either side of the mean starts off increasing and does not decrease SA with a mean of 40 an 02 84 88888 21

Find the value of n such that each expression is a perfect square trinomial 1 x 14x n 3 x 4x n 2 2 x 2x n 4 x 2x n Solve each equation by completing the square If necessary round to the nearest hundredth 5 x 4x 5 7 x 6x 10 9 x 3x 18 I 6 x x 2 0 8 x 4x 4 0 10 x 8x 4 0

Show what you entered into your graphing calculator i e normalcdf 1 1 2 3 0 1 Write your answer in a sentence in the context if a problem 1 A study found that college students worked a mean of 22 hours per week with a standard deviation of 9 hours Assume the work times are normally distributed Find the probability that a randomly selected college student works less than 4 hours per week 2 A survey shows that people spend an average of 43 minutes at the grocery store with a standard deviation of 12 minutes The lengths of time spent at the store are normally distributed What is the probability that a randomly selected shopper spends between 22 and 52 minutes at the store 3 The average speed of cars traveling on a highway is 67 miles per hour with a standard deviation of 3 5 miles per hour Assume the speeds are normally distributed What is the probability that a randomly selected car is traveling faster than 70 miles per hour

7 Evaluate at x 4 g x 53 1 3e 4x none of these 8 12 3 34 1 6 63 11

The least squares regression line will always pass through the coordinate mean of x random value of y mean of x mean of y random value of x mean of y

6 Evaluate 2e 11 O 18 05 O O 625 O 2 2 2216

A radioactive isotope decays exponentially If the half life is 4 2 thousand years and the current mass is 1625 ounces what will the mass be 13 thousand years from now 0256 ounces 652 23 ounces 219 39 ounces 66 896 ounces none of these

Make a table of values for the function f x 3 x 1 X y Select V Select Select Select Select Select V

In which 2 boxes would be the value of 140 30 and 125 be placed There should be two boxes checked 1 in the top row and 1 in the bottom row 33x 1 5 25 2 2z

1 You open a saving account by depositing 11 250 into an account earning 4 75 If this account is compounded quarterly how much would you have in the account after 35 years Type a response

Evaluate the following exponential expression Round if needed to 2 decimal places 11 17 Type a response

The graph of y Tanx is shown Write the coordinates of point A as an ordered pair y arctan x m 2

Simplify the expression 1 sin cot

7 The diameters in inches of 17 randomly selected bolts produced by a machine are listed Use a 90 level of confidence to construct a confidence interval for a the population variance o and b the population standard deviation Interpret the results 4 483 4 433 4 008 4 319 4 009 3 766 3 811 3 776 4 245 3 981 4 113 4 545 3 976 3 757 3 853 3 824 4 435 a The confidence interval for the population variance is Round to three decimal places as needed Interpret the results Select the correct choice below and fill in the answer box es to complete your choice Round to three decimal places as needed OA With 10 confidence it can be said that the population variance is greater than and B With 10 confidence it can be said that the population variance is between OD With 90 confidence it can be said that the population variance is less than and OC With 90 confidence it can be said that the population variance is between b The confidence interval for the population standard deviation is Round to three decimal places as needed Interpret the results Select the correct choice below and fill in the answer box es to complete your choice Round to three decimal place as needed OA With 10 confidence you can say that the population standard deviation is between and inches population standard deviation is between and inches OB With 90 confidence you can say that the population standard deviation is greater than OD With 10 confidence you can say that the population standard deviation is less than inches inches

You may need to use the appropriate appendix table to answer this question A person must score in the upper 7 of the population on an admissions test to qualify for membership in society catering to highly intelligent individuals If test scores are normally distributed with a mean of 110 and deviation of 5 what is the minimum score a person must have to qualify for the society Round your answer to the nearest integer

If the demand equation in dollars for a certain commodity is p 45 In x where x represents the number of units of the commodity determine the marginal revenue function for this commodity and compute the marginal revenue when x 50 What is the marginal revenue function for this commodity R x Use integers or decimals for any numbers in the expression

Write the equation of the line tangent to the graph of the following equation at x 0 y In x e What is the equation of the line tangent to the graph at x 0 y Type an equation using x as the variable

12 Find the derivative of y with respect to x of y 8 In X du If y c In u identify u from the given function Then use it to find dx U du dx I

Find d t10 Int dt2

Differentiate the function y In 9x2 3x 8

Find the derivative of y with respect to x 8 y 2 In

Differentiate the function y Inx In 12x

Differentiate the following function y 20 x In x 20 dx20 Inx 10 dx 20 II

mplify sin 9t sin 3t cos 9t cos 3t to an expression involving a single trigonometric function

Let A 1 1 1 2 11 ER 4 1 a 4 marks For each ER find Cartesian equations for Col A and Null A