Math Questions

In a tournament a professional golfer knows that she is 200 yards from the hole A spectator is watching her play and is 140 yards away from the golfer Golfer 25 6 39 4 64 3 140 yds 65 0 Spectator If the spectator has an angle of 115 between the golfer and the hole what is the angle that the golfer has between the spectator and the hole 115 200 yds Hole

Tutorial Exercise Find the derivative of the function without using the Quotient Rule 12 13x Step 1 Rewrite the equation so the variable is not in the denominator 12 13 y

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 320 grams and a standard deviation 14 grams Find the weight that corresponds to each event Use Excel or Appendix C to calculate the z value Round your final answers to 2 decimal places a Highest 30 percent b Middle 70 percent c Highest 90 percent d Lowest 20 percent to

48 Which of the following statements best summarizes the Side Splitter Theorem If a line is perpendicular to one side of a triangle and intersects the two other sides the line divides the two sides of the triangle proportionally If a line is parallel to one side of a triangle and intersects the two other sides the line will always form a right angle If a line is parallel to one side of a triangle and intersects the two other sides the line divides the two sides of the triangle proportionally If a line is congruent to one side of a triangle and intersects the two other sides the line divides the two sides of the triangle proportionally

Given that A represents the event that someone likes dogs find P A The probability that someone does not like dogs o Write your answer in decimal form o Round to two decimal places Dogs 87 Cats 52 100

Next O Unit Pre Test Height feet Flynn is playing with a toy that is tied to his hand by a string The toy falls toward the floor then rises back toward Flynn s hand and repeats this motion following the path illustrated by given graph 5 0 4 5 4 0 3 5 3 0 2 5 2 0 1 5 1 0 0 5 Submit Test hxo Reader Tools 0 1 2 3 4 5 6 7 8 9 10 Time seconds Use the graph to complete the function that models the toy s height in feet above the floor tseconds after it has left Flynn s hand cost VD

Automatic Zoom 536544 viewContent 2714736 View A person who is 1 65m high stands 25 7m from the base of a building the top of a near building at an angle of elevation of 35 4 a Draw a diagram labelling all important information height of the building in meters to the nearest tenth

1 2 A drone flies in a straight line with a positive velocity v t in miles per hour at time t hours where v is a differentiable function of t Selected values of v t are shown in the table t hours 2 v t miles per hour 2 1 2 5 2 1 0 1 3 4 5 6 1 7 1 5 1 5 1 6 Based on the values in the table at is the smallest number of instances at which the acceleration of the plane could equal zero on the open interval 0 c 6 1 point

Suppose that 0 9 of male professional golfers use steroids and that Max is a male professional golfer who has been randomly selected to take a drug test The test he has been asked to take has a false positive rate of 1 and a false negative rate of 10 Use Bayes rule to calculate the probability that Max actually uses steroids if he tests positive for steroid use Give your answer as a decimal precise to three decimal places

Find the sum of the areas of the shaded rectangles under the graph Round to two decimal places Hint The width of each rectangle is the difference between the x values at its base The height of each rectangle is the height of the curve at the lef edge of the rectangle y 6 4 2 y 31X 1 1 25 1 5 1 75 X 2

Anumeha is mowing lawns for a summer job For every mowing job she charges an initial fee of 10 plus a constant fee for each hour of work Her fee for a 5 hour job for instance is 35 Let y represent Anumeha s fee in dollars for a single job that took x hours for her to complete

Your college is having a housing lottery The probability that you will get a single room all to yourself next year is 0 2 the probability of getting a double is 0 6 and the probability of getting a triple is 0 2 All of the triples have air conditioning half of the doubles have air conditioning and only 10 of the singles have air conditioning What is the probability that your dorm room next year will have air conditioning

accurate Explain how you made your choice Weight mg 10 1 10 23 10 Student Brad Brandon Meagan Answer most 7 You and a friend are talking and he wants to know how many significant figures there are in the number 0 012012 How would you explain to your friend how many significant figures there are in the number Answer 8 Given 1 in 2 54 cm and 1 cm 10 mm how many millimeters are present in 20 0 inches Use dimensional unit analysis to find your answer Answer

Find the unit vector in the direction of 8 6 Write your answer in component form Do not approximate any numbers in your answer 0 0

Lisa s living room has new carpet of 8 meters wide and 10 5 meters long She wants to put carpet in the basement that is twice as long as the living room and a fourth wider She also has wanted to put tile in the bathroom that has an area of 10 square feet Her bedroom is currently being completed with carpet If her bedroom is 6 meters shorter in length than the living room and the width what is her bedroom s area Do not include units in answer and round to the nearest hundredth Example if answer is 19 546 m put 19 55

1 point Your grade in a class is determined by the average of three test scores You scored 73 and 87 on the first two tests To earn at least 78 for this course how much do you have to score on the third test

3 The table shows population x and licensed driver y statistics from a recent year Work the problems on a separate piece of paper take a picture and upload State Arkansas Illinois Kansas Licensed Drivers Population Number of Drivers millions milliont 2 8 2 0 Massachusetts Pennsylvania Texas 12 8 2 8 6 4 12 4 23 5 8 1 2 0 4 7 8 5 14 9 a Make a scatter plot by hand b Draw a trend line c The population of Michigan was approximately 10 million that year About how many licensed drivers lived in Michigan in that year Describe how you found your answer orrelation between population and number of licensed drivers strong or weak Explain your response

You are ready to spend your Christmas money You go to your favorite store and buy some jewelry They are running a sale where everything is 10 You got 130 for Christmas and don t have any more than that to spend Write an inequality to represent how many pieces of jewelry 3 you can buy Inequality

The minute hand on a clock rotates in clockwise direction If the clock was laid on a coordinate plane with its center at the origin and the minute hand currently had an endpoint of 4 6 what will the coordinates of the endpoint be in 15 minutes A 6 4 B 6 4 C 6 4 OD 4 6 OB

In the circle below P is the center QS is a diameter and m QR 80 Use this information to fill in the blanks R 80 S Q a Give an inscribed angle 1 0 b Give a semicircle c Give a major arc d Find mZQPR e Find m QTR X 0

2 1 0 1 2 3 4 8 x values 6 b Find X 2 2 g x values Limit values of g x x 2 4 1 2 1 c If f x x 2x and 4 0 lim g x 5 lim g x 0 2 5 3 a Use the graph of f and the table of g to determine lim f x 4 lim X 6 lim g x 2 lim g x 2 x 6 x 5 x 1 1 then find x 2 6 2 lim f x g x 6 2f x 2 3 f g x according to limit theorems 3 points or explain why it does not exist Use correct limit notation in your answer 3 points g x 8 Justify your answer and use correct limit notation in your work 41

What are the maximum and minimum distances that the reader could assume based on the surveyed distance and margin of error Answer 10 A company makes and sells automatic coffee machines It is important that the machines dispense the right amount of coffee such that each cup isn t too full but also not too empty Being too full or too empty affects profits and customer satisfaction

Lisa bought 3 equally priced shirts for 41 70 Her friend Anna bought 8 shirts at the same price per shirt How much did Anna pay for her purcha 111 20 O 105 14 115 60

Mark Up A standard queen bed hotel room at the Posh Inn is currently priced at 135 a day after a 17 markup to offset inflation costs What was the daily charge for the room before the increase Choose one 5 points 157 95 118 00 115 38 100 75

Barrett works at an ice cream shop The function f x represents the amount of money Barrett earns per gallon of ice cream where x is the number of gallons of ice cream he makes The function g x represents the number of gallons of ice cream Barrett makes per hour where x is the number of hours he works Show all work to find f g x and explain what f g x represents f x 2x 4 g x 3x

Find the indicated trig function Write each answer as a fraction and a decimal rounded to four decimal places Sin A A 12 Sin B 13 5 B

Sherry needs to have at least 1600 in her bank account at the end this month She works at a restaurant where she earns 18 an hour h This month she has to pay her car payment of 200 Write an inequality to represent how many hours she will need to work in order to have 1600 in her account Inequality

01 03 LC Consider the function f x x 12 Which of the following would be an appropriate horizontal and vertical scale of a viewing window on a graphing calculator for the function 1 point Xmin 12 Xmax 12 Ymin 10 Ymax 10 Xmin 10 Xmax 10 Ymin 12 Ymax 12 OXmin 5 Xmax 25 Ymin 5 Ymax 5 Xmin 5 Xmax 5 Ymin 5 Ymax 25

The table to the right is based on the assumption that 1 of breast tumors are malignant It also assumes that mammogram screening is 95 accurate Complete parts a through c below Positive Mammogram Negative Mammogram Total a Suppose a patient has a positive mammogram What is the chance that she really has cancer Type an integer or decimal rounded to the nearest tenth as needed b What is the chance of a positive mammogram given that the patient has cancer Tumor is Tumor is Malignant Benign 95 5 100 Type an integer or decimal rounded to the nearest tenth as needed c Suppose a patient has a negative mammogram What is the chance that she actually does have cancer Type an integer or decimal rounded to the nearest hundredth as needed Total 1254 1349 8646 8651 9900 10 000

Question 3 1 point Looking at the box an whisker plot for the package weight data below what does the position of the median line in the box and the length of the whiskers tell you about the shape of the distribution Ground Beef Package Weight Data in pounds 0 75 0 93 0 83 0 96 0 87 0 96 0 89 0 97 0 89 0 98 0 99 1 06 0 89 0 92 1 08 1 08 1 15 1 2 1 21 1 24 1 28 1 38 1 19 1 41 1 19 1 16 1 16 O The data is uniformly distributed The data is roughly symmetrical and mound shaped normally distributed The position of the median and length of whiskers tell you little about the shape of the distribution The distribution is strongly skewed to the left The distribution is strongly skewed to the right Question 4 1 point What is the maximum length of a whisker in a modified box plot where the median 120 Q1 100 Q3 150 the minimum 20 and maximum 270

Verizon offers to sell cellular phones listing for 100 24 with a chain discount of 15 10 5 Cellular Company offers to sell its cellular phones that list at 103 49 with a chain discount of 25 5 If Irene is to buy six phones how much could she save if she buys from the lower priced company Do not round intermediate calculations Round all dollar amounts to the nearest hundredth Roun your final answer to the nearest cent Amount saved This is a numeric cell so X

A political strategist surveyed 100 people asking their opinion about a new proposal The results are summarised in the contingency table A Survey of Men s and Women s Opinion of a Proposal Disapprove Neutral Men Women Total Approve 33 57 19 31 3 Find the probability that a person chosen at random is a woman who disapproves of the 9 12 Total 46 100

Let p and q represent the following statements p The fourth of July is Independence Day q The Bible was not written in 1969 Express the following statement symbolically The Bible was written in 1969 The statement written symbolically is

05 03 MC What is the area of AABC given mzB 83 a 25 feet and c 40 feet O 561 46 feet 496 27 feet 106 33 feet

Part a The population The population is a group of clients of this counselor The population is all of the clients of this counselor The population is all of the clients of this counselor who stay married The population is all couples in marriage counseling Part b The sample The sample is all of the clients of this marriage counselor The sample is a group of clients of this marriage counselor The sample is a group of clients of all marriage counselors The sample is all of the clients of this counselor who stay married Part c The parameter The parameter is the proportion of a sample of clients of any marriage counselor who stay married A The parameter is the proportion of all clients of any marriage counselor who stay married O The parameter is the proportion of all of this counselor s clients who stay married The parameter is the proportion of the sample of this counselor s clients who stay married Part d The statistic The statistic is the proportion of all clients of any marriage counselor who stay married The statistic is the proportion of the sample of this counselor s clients who stay married The statistic is the proportion of all of this counselor s clients who stay married The statistic is the proportion of a sample of clients of any marriage counselor who stay married

The path a character takes to navigate a level of a video game is given in the following graph What is the domain 0 12 x 14 14 12 10 8 6 4 20 8 0 6 x 4 6 6 x 4 x 6 0 2 O 2 4 6 12 x 14 x 6 8 8 2 4 6 8 10 12 14 16 18

Suppose that a recent poll found that 66 of adults believe that the overall state of moral values is poor Complete parts a through b a For 300 randomly selected adults compute the mean and standard deviation of the random variable X the number of adults who believe that the overall state c moral values is poor The mean of X is Round to the nearest whole number as needed The standard deviation of X is Round to the nearest tenth as needed b Interpret the mean Choose the correct answer below A For every 300 adults the mean is the number of them that would be expected to believe that the overall state of moral values is poor OB For every 300 adults the mean is the range that would be expected to believe that the overall state of moral values is poor OC For every 198 adults the mean is the maximum number of them that would be expected to believe that the overall state of moral values is poor OD For every 300 adults the mean is the minimum number of them that would be expected to believe that the overall state of moral values is poor

and the new balance in each problem Your balance on May 20 was 189 75 and you made a 112 45 deposit on May 22 On May 29 you wrote a 75 6 check and on June 1 you made an ATM withdrawal of 50 00

am and Drew decide to mow lawns during their summer break with different companies am gets a flat 15 00 every day plus 8 00 for every yard he mows Drew gets paid 5 00 daily plus 6 00 for each yard he mows When will they have mowed the same mber of yards and earned the same amount How much will they have earned

4 Billy and Jane are trying to determine how far they can travel in 8 hours if they travel at a rate of 86 km h Billy determines they could travel 688 km while Jane determines they could travel 10 75 km Who is correct Use dimensional unit analysis to justify your answer Answer 5 What is the difference between accuracy and precision Provide an example to help illustrate the difference in your explanation Answer

Match the regression equation with the appropriate graph Drag each graph given below to its corresponding regression equation to the right Ay 70 60 50 40 30 20 10 Ay 30 25 20 15 104 5 5 10 15 20 25 30 1 5 10 15 20 25 30 35 40 SSU Q Q G Ay 30 25 20 15 10 S 7 2 2 3 10 14 80 10 20 30 40 50 140 120 100 60 40 20 Q Y 13 y 1 361x 21 952 14 y 2 115x 21 958 15 y 2 125x 9 588 16 y 0 705x 27 214

The data in the table below gives the engin speed of a boat in hundreds of revolutions per minute or RPMs for several different boat speeds in knots Using a cubic equation to best fit the data determine the boat speed for an engine speed of 2500 RPMs Engine Speed RPMS 8 10 12 14 16 21 I Boat Speed Knots 5 59 6 88 7 63 8 04 8 29 9 4 A 10 72 knots B 11 16 knots C 11 87 knots D 12 23 knots

Members of the student government are planning a movie night on campus They have asked a random sample of students which of four movies the students would prefer Here are the results Movie Preferred Movie A Movie B Movie C Movie D Number of Students 21 49 24 46 There are 900 students total on campus Based on the above information how many students on campus would we expect to prefer Movie B Round your answer to the nearest whole number Do not round any intermediate calculations students X

The point 4 x y in the 3rd quadrant is reflected twice in a counterclockwise direction over two lines that intersect at the origin and have an angle of 90 between them What are the coordinates of A A y x B C y x OD 2 y

You are building a patio of the back of your house The diagram shows the plan for the patio Each unit in the coordinate plane represents 1 5 feet Find the area of the patio to the nearest square foot TY 10 8 6 A B OC D 2 about 57 ft 2 about 39 ft 2 about 38 ft 2 about 26 ft 2 4 house 6 8

The area of a rectangular living room is 450 square feet The length of the room is 15 feet less than three times the width Find the equation in terms of w that could be used to find the dimensions of the living room in feet Your answer should be in the form of a polynomial equals a constant Provide your answer below

The person s income increased from 27 000 to 40 000 over the last year What is the percent change Select the correct answer below O 48 15 decrease O 32 50 increase O 48 15 increase 67 50 increase

Using this table as needed calculate the required information for the mortgage Round dollars to the nearest cent Number of 1 000s Financed Amount Interest Financed Rate 165 300 5 25 Term of Loan years 15 Table Factor in 69 Monthly Payment in Total Interest in

6 Which statements describe the altitudes of triangles Select all that apply An acute triangle has altitudes inside the sides of the triangle A right triangle only has two altitudes The point of concurrency for a triangle s altitudes is called the orthocenter An obtuse triangle has altitudes along the legs of the triangle

In the figure shown below E and G lie on AC D and F lie on AB DE and FG are parallel to BC and the given lengths are in feet What is the length of AC in feet A D O O O O 8 O F 7 B C D 16 A 13 26 29 42 LL 6 B 48 E G