College Geometry Questions

Which two sets of events are most likely independent A Event A A car is blue Event B The car lasts over 20 years B Event A A student gets enough sleep Event B The student is alert in class C Event A A woman buys cat toys Event B The woman has a cat D Event A A student makes the drama team Event B The student likes macaroni and cheese

Rosa recorded the height in centimeters of a pea plant over a 10 day perio for a science experiment Which equation is the best model of the data Centimeters 9987654321 10 1 2 3 4 5 6 7 8 9 10 Days O A y 0 5x 1 8 OB y 2 2 1 1 OC y 0 7x 2 1 OD y 2 0 1 4 X123456789 10 y 2334 SS666 4 5 5 5 6 5 6 5

Macmillan Learning Find the standardized value z such that the probability is 0 8 that a randomly selected observation falls below z Enter your answer rounded to two decimal places Approximation of 7 b c 2 1 01 2

Find the value of 7 O O OA 42 OB 823 543 O O C 5040 D 49

The data represented by the following stem and leaf plot range from 4189 5 147 6 235 69 7 OA 49 79 OB 48 76 OC 49 76 D 48 79

The table shows the probability distribution of siblings of students in a high school with 1500 students What is the expected value for the number of siblings of a randomly chosen student Number of siblings Probability OA 2 5 OB 1 08 O C 1 29 OD 1 11 0 1 0 18 0 65 2 3 0 09 0 05 4 0 02 5 0 01

6 5 4 3 2 8 7 6 5 4 3 2 7 2 1 2 4 5 6 Q Write an equation for the function graphed above

Which values should you plot to show a linear relationship Month Population Log population 1 1400 3 146 2 3 4 5 6 2600 4700 9000 17000 32000 3 415 3 672 3 954 4 230 4 505 O A Population on the x axis and Log population on the y axis OB Month on the x axis and Population on the y axis C Month on the x axis and Log population on the y axis OD Log population on the x axis and Month on the y axis

A and B are independent events What is P AIB P A 0 3 P B 0 5 O A 0 15 OB Not enough information O C 0 5 D 0 3

A building has three elevators Each elevator is out of order 30 of the time The following set of random numbers represents 20 simulations of the elevators with 0 1 and 2 representing a broken elevator and 3 4 5 6 7 8 and 9 representing a working elevator In how many of the simulations were all three elevators working 931 188 763 841 404 396 011 843 OA 8 OB 10 OC 11 D 9 559 144 652 277 653 673 599 797 414 761 273 844

peria Suppose A and B are independent events If P A 0 6 and P B 0 85 wha is P A and B A 0 68 B 0 17 C 0 34 D 0 51

If a coin is flipped 60 times and a head comes up 42 times what is the relative frequency of a head coming up OA 0 55 OB 0 60 OC 0 70 OD 0 65

Stacia randomly chooses a number from 1 to 10 What is the probability she chooses a number less than 4 OA 4 1 OB 3 O C 3 OD 10

The linearized regression equation for an exponential data set is log 0 14x 0 4 where x is the number of years and y is the population What is the predicted population when x 20 Round your answer to the nearest whole number OA 112 590 OB 1585 C 630 D 3

Shade the portion of the Venn diagram to illustrate the given set AUB n BUC 1 B Enter the regions to shade in numerical order and without spaces ex 234

The volume of a cube is 125 cubic centimeters What is the length of each side of the cube centimeters side

42 This is a kite 53 5 1 38 3

By visual inspection determine the best fitting regression model for the scatterplot O A Exponential OB Quadratic OC No pattern D Linear 5 y

The graph shows the value of a certain model of car compared with its age Which statement is true Car s value Car s age years O A The correlation coefficient is close to 0 OB The data show a negative linear relationship O C The car s age is not correlated to its value

If the following data were transformed and points with the coordinates x log were plotted what points would be plotted Round log y to three decimal places y 81 5 243 6 729 X 4 O A 1 908 81 2 386 243 2 863 729 OB 4 1 908 5 2 386 6 2 863 OC 81 1 908 243 2 386 729 2 863 OD 1 908 4 2 386 5 2 863 6

SOA OB 10X 10

Which of the following values represents the weakest correlation OA 0 45 OB 0 65 O C 0 55 OD 0 35

A company produces items in small batches The machinery needs to warm up before the items can be produced The scatterplot shows the time needed to produce batches of different numbers of items 100 80 60 X 5 60 40 3 44 20 4 6 8 10 Items produced Production time minutes Based on the line of best fit which of these statements is true O A As the number of items in a batch increases by 1 the production time increases by 12 minutes OB As the number of items in a batch increases by 1 the production time increases by 20 minutes O C It takes about 20 minutes for the equipment to warm up OD It takes about 60 minutes for the equipment to warm up

Which of the following is not a possible r value O A 0 6 OB 0 3 O C 1 3 O D 0 6

A data set contains three points and two of the residuals are 10 and 20 What is the third residual OA 30 OB 10 OC 30 O D 10

Suppose that a regression line for some data transformed with logarithms predicts that when x equals 7 log y will equal 1 755 What does the regression line predict y will equal when x equals 7 Round your answer to the nearest whole number A 12 B 30 C 57 OD 2

Suppose the linear regression line y 2 1x 130 predicts sales based on the money spent on advertising If x represents the dollars spent in advertising and y represents the company sales in dollars about how much can the company expect in sales if it spends 250 in advertising A 525 B 655 C 130 D 250

Suppose the line of best fit is drawn for some data points If the mean of the x coordinates of the points is 5 and the mean of the y coordinates of the points is 7 the line must pass through which of these points A 7 5 B 5 7 C 5 7 D 7 5

A line of best fit predicts that when x equals 25 y will equal 27 745 but y actually equals 29 What is the residual in this case A 1 255 B 2 745 C 1 255 D 2 745

2 Let A 2 3i B 5 4i be two points in the complex plane a What is the equation of the rotation of angle 0 about A f z b Find CEC so that AABC is equilateral and the vertices A B C are oriented counterclockv

A car dealership s goal is to sell a mean of 35 cars per day In one week it sold the following numbers of cars each day 44 35 23 29 38 30 21 How many more cars would it have had to sell during the week to meet its goal O A 15 OB 5 OC 25 D 35

Each of 35 samples has a different standard deviation How many of the 35 samples could be from the same population A 35 OB 34 OC 32 OD 33

The first quartile of a data set is 41 and the third quartile is 57 Which of these values in the data set is an outlier A 39 OB 83 C 19 OD 73

If there are 16 values in a data set in order from smallest to largest what is the median of the data set OA The mean of the 7th and 8th values OB The 8th value OC The 7th value OD The mean of the 8th and 9th values

What is the interquartile range of the following data set 46 27 48 96 61 84 29 1 64 5 34 OA 73 OB 46 O C 37 D 19

What is the first quartile of the following data set OA 21 OB 20 OC 23 O D 18 18 20 21 23 24 26 29 30 34 37 40

If the formula X 1122X x is used to find the mean of the following sample n1 what is the value of n 51 37 83 44 52 19 99 7 36 88 OA 11 OB 10 OC 9 D 12

If the variance of the data values in a population is 169 what is the standard deviation of the data values O A 13 OB 17 O OD 15 C 11

If the standard deviation of the data values in a sample is 14 what is the variance of the data values OA 225 OB 196 O c 256 OD 144

What is the mode of the following data values 54 78 36 46 36 A 60 OB 46 OC 36 OD 50

If a sample of 35 golfers is taken from a population of 72 golfers the sample mean x is the mean of how many golfers scores OA 72 B 35 OC Neither 35 nor 72 OD Both 35 and 72

What is the mean of the following data values 53 71 89 10 62 OA 52 OB 57 O C 62 D 67

The following data values represent a sample What is the variance of the sample x 8 Use the information in the table to help you X x x A 8 3 B 12 C 5 9 D 15 12 16 9 1 11 9 5 9 3 25

If a sample of 23 swimmers is taken from a population of 74 swimmers the population mean is the mean of how many swimmers times OA Neither 23 nor 74 OB 23 C 74 OD Both 23 and 74

What is the median of the following data values 12 13 16 19 23 27 29 31 32 33 O A 27 OB 24 3 OC 25 OD 23

If a sample of 132 customers is taken from a population of 2340 customers the sample variance s is the variance of how many of the customers ages OA 132 B Both 132 and 2340 C Neither 132 nor 2340 D 2340

What is the third quartile of the following data set A 29 OB 26 OC 24 OD 34 15 18 20 21 23 24 26 29 34 37 40

You and your friend enter a drawing with 3 different prizes A total of 11 people entered the drawing and prizes are awarded randomly There are 990 ways to award the prizes What is the probability that you win first prize and your friend wins second prize 9 O A 990 OB 1 O C IT OD D 990 11 990

Place Phoenix Italy Mexico Tokyo Lima Toronto Los Angeles What is P A OA 5 O B 19 1 3 O c 9 A place from this table is chosen at random Let event A The place is a city C D Is a city Is in North Am 2

A and B are independent events P A 0 60 and P B 0 30 What is P A and B OA 0 90 OB 0 OC 0 018 OD 0 18