Questions

17 Find the area of the triangle Round to nearest tenths 110 B Area H 72 ab

In a random sample of four microwave ovens the mean repair cost was 60 00 and the standard deviation was 12 50 Assume the population is normally distributed and use a t distribution to construct a 95 confidence interval for the population mean u What is the margin of error of Interpret the results The 95 confidence interval for the population mean is Round to two decimal places as needed The margin of error is Round to two decimal places as needed Interpret the results Choose the correct answer below 40 11 79 89 OA It can be said that 95 of microwaves have a repair cost between the bounds of the confidence interval O B With 95 confidence it can be said that the repair cost is between the bounds of the confidence interval O C With 95 confidence it can be said that the population mean repair cost is between the bounds of the confidence interval OD If a large sample of microwaves are taken approximately 95 of them will have repair costs between the bounds of the ra sum bula e 95 unc e ma

13 An airplane starts its descent towards an airport when its horizontal distance is 52 800 ft from the runwa and the line of sight distance is 54 500 ft Find the airplane s angle of descent depression 52800 ft 54500 ft

9 in 6 in X 5 41 11 ft

In 2 3 Answers should be in simplest radical form 2 Find the sine cosine and tangent for ZB 24 26 10 B 3 Find the sine cosine and tangent for ZC 20 B 18

ab sin C 18 the missing the area of the triangle Round area to nearest tenths 10 in 15 in 43 V 59 A ZC B Area

6 64 m 31 m X 7 7 yd x 25

What value of c will complete the square x 3x c O O O earch none of these choices 9 h 1 5 2 25 4 5

Complete using hypotenuse opposite and adjacent Sin A Cos A Tan A A Sin A Cos

UT 5 6 O 7 9 10 11 12 13 men completing the square you will need to undo a squared term at some point How is is accomplished subtract the number under the radical from both sides squaring both sides take the square root of both sides 15 it cannot be done Your answer is already simplified as much as possible FRE Clanl

Given AB BC AB BC Prove mABmBC 1 B 0 0 Statements 1 AB I BC BC 2 MAB MBC d 0 1 0 e 1 0 A 1 d C 1 e 1 1 d 3 draw the vertical line segment AC 4 ZABC is a right angle 5 AABC is a right triangle X Reasons given application of the slope construction definition of perpendicula definition of a right triang

The Wall Street Journal reported that 33 of taxpayers with adjusted gross incomes between 30 000 and 60 000 itemized deductions on their federal income tax return The mean amount of deductions for this population of taxpayers was 16 554 Assume that the standard deviation is a 2379 Use z table a What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within 213 of the population mean for each of the following sample sizes 30 50 100 and 400 Round your answers to four decimals n 30 n 50 n 100 n 400 b What is the advantage of a larger sample size when attempting to estimate the population mean Round your answers to four decimals Select your answer A larger sample size 30 to the probability that the sample mean will be within a specified distance of the population mean In this instance the probability of being within 213 of 4 ranges from for a sample of size 400 for a sample of

According to Reader s Digest 36 of primary care doctors think their patients receive unnecessary medical care Use the z table a Suppose a sample of 290 primary care doctors was taken Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical E p p to 2 decimals to 4 decimals b What is the probability that the sample proportion will be within 0 03 of the population proportion Round your answer to four decimals c What is the probability that the sample proportion will be within 0 05 of the population proportion Round your answer to four decimals d What would be the effect of taking a larger sample on the probabilities in parts b and c Why The probabilities would Select your answer This is because the increase in the sample size makes the standard error o Select your answer larger

Jim worked 2 jobs On a typical day he is a cashier at his first job and works 6 hours while being paid 11 per hour At his second job as an evening security guard he works 5 hours while being paid 22 per hour What was Jim s average rate of pay for the day a 17 00 per hour b 16 50 per hour O c 16 00 per hour d 15 50 per hour

Team Miami Marlins a 65 Ob 72 Ticket Using the information provided find the average cost of a single ticket to see a Miami Marlins Game The Fan Cost Index FCI for a Miami Marlin s game is 341 The FCI include four tickets parking for one vehicle four hot dogs and four soft drinks Oc 85 Parking 25 Hot Dog 8 Soft Drink 6 Miami

What is the check digit d for the UPC bar code shown below O a 4 0 b 6 042 3 21721 02314 d

Homework grades 76 82 85 Quiz grades 74 80 80 Test Grades 60 68 If the teacher weights homework at 10 Quizzes at 20 Tests at 60 what is her current class average Please be careful with this one the categories don t sum to 100 because she hasn t taken her final exam yet a 69 b 81 A

The formula for a baseball player s slugging percentage is If a player has 15 Singles 3 Doubles 1 Triple and 2 Home Runs with 62 At Bats What is the player s slugging percentage a 0 486 b 0 565 c 0 338 1S 2D 3T 4HR AB d 0 516

Find the measure of the indicated angle Ro 44 29 31 33 49 35 33 X 9

Solve each system x y by substitution 5 y 3x 1 y 4x 1 6 y x 2 y 3x 8

X und to the nearest tenth degree 30 32 33 34 23 28 143 10 31

7 y 2x 10 y 4x 8 8 y x 4 y 3x 4

Find the missing side Round to the nearest tenth 23 25 27 42 15 17 18 53 51 X X X 24 26 2

est tenth 24 26 28 19 44 118 X 18 49 X 17 X X

Find the value of each trigonometric ratio 17 cos A A C 12 37 19 sin A 21 tan Z X B 35 C 32 40 27 45 Y 36 7 B 24

11 An object is launched off a 255 foot cliff If the object was launched at 165 feet per second determine maximum height of the object ROUND YOUR ANSWER CORRECTLY TO THE NEAREST WHOLE FOOT no decimal Type a response

What is vertex the of the following 0 O O O x 2 x 6 O 2 16 2 6 0 12 2 6 O 3 2 16 none of these choices ch S

Solve by factoring x 12x 145 145 O O O O O O none of these choices 13 1 8 20 8 20 13 1 23 11 15

What value of c will complete the square x 3x c O O O O O none of these choices 9 1 5 4 5 2 25 S

6 Identify the vertex 0 5x 10x 14 O O 10 5 9 2 9 1 19 0 14 none of these choices 1 1

Use the information to write the vertex form of the parabola f x 2x 20x 5 f x 2 x 5 20 f x 2 x 10 5 none of these choices f x 2 x 20 5 f x 2 x 5 45 S

The Flotterons plan to purchase paint for the walls and for the trim in their living room They select one color for the walls and one color for the trim at random from following colors Walls Mahogany Burgundy Taupe Sable Trim Vanilla Eggshell Ivory White Complete parts a through e OD M B T S V E I W c Determine the probability that they select Mahogany GICKCH The probability is Simplify your answer d Determine the probability that they select Mahogany and Eggshell The probability is Simplify your answer

Two coins are tossed Assume that each event is equally likely to occur a Use the counting principle to determine the number of sample points in the sample space b Construct a tree diagram and list the sample space c Determine the probability that no tails are tossed d Determine the probability that exactly one tail is tossed e Determine the probability that two tails are tossed f Determine the probability that at least one tail is tossed 1 111 11 B H T OCH T H T D H T HH HT TH TT c The probability that no tails are tossed is 4 instructor d The probability that exactly one tail is tossed is ww Simplify your answer Simplify your answer Clear all

Complete in your table group Tale Heart What themes or big ideas are presented in Edgar Allan Poe s The Tell Tale Heart Theme Easy to Notice Big Ideas in the Text Guil Chandible Human Nature Duality of Man two Personalities in Son 0 sare Central Idea Harder to Notice You must look for it What does the text say about the big ideas Analysis Explanation How does the author develop themes in the text Use evidence to prove how the author develops themes to create central ideas Include page

A department of transportation s study on driving speed and miles per gallon for midsize automobiles resulted in the following data Speed Miles per Hour 30 50 40 55 30 25 60 25 50 55 Miles per Gallon R7 24 25 23 29 33 22 35 27 25 Compute the sample correlation coefficient Round your answer to two decimal places X

Assume that 100 delegates must be apportioned to the following sets of states with the given populations Determine the number of representatives for each state using Hamilton s method Then assume that the number of delegates is increased to 101 Determine the new number of representatives for each state using Hamilton s method State whether the change in total delegates results in the Alabama paradox A 919 B 678 C 237 Determine the number of representatives for each state using Hamilton s method if there are 100 delegates B 37 A 50 A C 13 Determine the number of representatives for each state using Hamilton s method if there are 101 delegates B C

1 In the diagram above of AJKL JL 7 KL 2 Determine the following ratios Write your answers in simplest radical form sin L ran cos L sin K

y V 4x x2 is given Use transformations to create a function whose graph is as shown y 4 y 2 y 4x x 4 n

EXAMPLE 7 If f x x and g x 1 x find each function and its domain a fog b gof c fof d gog SOLUTION a fog x f g x f The domain of fog is x 1 x 0 x x b For X gof x g f x g x to be defined we must have x 2 Thus we have c fof x f f x The domain of fof is the interval x d gog x g g x This expression is defined when both 1 x 2 and the second is equivalent to 1 x domain of gog is the closed interval which is the interval For 1 x to be defined we must have 1 x 20 that is x 1 or so the domain of gof is the closed interval and 1 1 x or 1 x 1 or x The first inequality means x Thus x so the

TICE ANOTHER We use the form a bx for the least squares line In some computer printouts the least squares equation is not given directly Instead the value of the constant a is given and the coefficient b of the explanatory or predictor variable is displayed Sometimes a is referred to as the constant and sometimes as the intercept Data from a report showed the following relationship between elevation in thousands of feet and average number of frost free days per year in a state A Minitab printout provides the following information Predictor Constant Elevation Coef 317 43 30 489 r SE Coef 28 31 11 21 3 511 8 68 T s 11 8603 R Sq 96 2 Notice that Elevation is listed under Predictor This means that elevation is the explanatory variable x Its coefficient is the slope b Constant refers to a in the equation a bx a Use the printout to write the least squares equation P b For each 1 000 foot increase in elevation how many fewer frost free days are predicted days 0 0015 0 0032 c The printout gives the value of the coefficient of determination 2 What is the value of r Be sure to give the correct sign for r based on the sign of b Round your answer to four decimal places What percentage is unexplained d What percentage of the variation in y can be explained by the corresponding variation in x and the least squares line

Suppose that a regression line has a negative slope and a coefficient of determination of 0 64 What is the correlation coefficient

The least squares regression line for a set of data is calculated to be 23 2 0 17x One of the points in the data set is 5 22 Calculate the residual

a As dry air moves upward it expands and cools If the ground temperature is 40 C and the temperature at a height of 1 km is 30 C express the temperature T in C as a function of the height h in kilometers assuming that a linear model is appropriate b Draw the graph of the function in part a What does the slope represent c What is the temperature at a height of 1 5 km SOLUTION a Because we are assuming that T is a linear function of h we can write T mh b We are given that T 40 when h 0 so 40 m b In other words the y intercept is b We are also given that T 30 when h 1 so 30 m The slope of the line is therefore m 30 h TE b The graph is sketched in the figure The slope is m Select with respect to Select c At a height of h 1 5 km the temperature is T 1 5 40 C and the required linear function is C km and this represents the rate of change of

The widget production line is firing on all cylinders You may remember that widgets are the devices used to hold a razor blade when it is being used as a scraper Mr Widget has determined that the number of employees working on the assembly line and the number of widgets produced per hour have a linear relationship as follows Widgets 174 08 Employees 514 The given equation is applicable only when he has 25 or fewer employees After that they just get in each other s way and production goes down How many widgets does Mr Widget expect to produce with 15 employees on the assembly line Round your answer to the nearest integer widgets

Write a polynomial f x that satisfies the given conditions 9 Degree 3 polynomial with Integer coefficients with zeros 9i and 5 f x X 3

E Review for Test 2 Sections 16 to 2 4 Question 17 of 29 1 point Question Attempt 1 of Unlimited Refer to functions m and q Evaluate qm x and write the domain in Interval notation Write your answers as Integers or simplified fractions m x x 6 1 X 7 Part 0 2 Part 1 of 2 q m x q x 2 16 X

Write an equation that reflects the graph of x x2 x across the y axis Then graph both the equations he equation y x x across the y axis reflects the graph of

The U S Food and Drug Administration FDA require nutrition labeling on most foods The nutritional content for one cup of each of 21 different breakfast cereals was recorded Information recorded included calories sugar in grams and carbohydrates in grams The data was analyzed to produce the results below Regression equation Sugar 5 10 0 536 Carbohydrate 3 Correlation 0 544 1 point Raisin Bran has 29 grams of carbohydrates per cup What would be the predicted amount of sugar per cup for Raisin Bran type your answer grams

An equal tangent sag equal tangent vertical curve with a negative initial and a positive final grade is designed for 55 mi h The PVI is at station 240 00 and elevation 122 ft The PVT is a station 242 30 and elevation 127 75 ft What is the station and elevation of the lowest point on the curve

Multiple choice Choose only one answer Chemicals used to kill or inhibit growth on the skin are callec O antibiotics disinfectants sterilants antiseptice