College Geometry Questions

Bessel s Correction N 1 Friedrich Bessel discovered that when we use n in the denominator of the variance calculation for a sample the sample variance tends to underestimate the population variance Since many times we do not know the true population variance Bessel s correction for a point estimate of the population variance is very useful

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

There is a strong positive linear correlation between the number of rainy days and the number of grapes produced on a grape plant Does this mean that more rainy days cause the grape plants to produce more OA Yes Since the number of rainy days and number of grapes produced are linearly correlated this means a greater number of rainy days causes the grape plants to produce more OB No Since the number of rainy days and number of grapes produced are linearly correlated this means a smaller number of rainy days causes the grape plants to produce more C No Any number of factors could also affect the number of grapes produced OD Yes Since the number of rainy days and number of grapes produced are positively correlated this means a greater number of rainy days causes the grape plants to produce more

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

A line of best fit was drawn for 15 data points What is the maximum number of these data points that may not actually be on the line OA 14 OB 15 O C 13 OD 12

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

There are 6 seniors on the high school soccer team Two of them will be chosen to be co captains How many ways are there to choose the co captains Decide if this is a permutation or a combination and then find the number of ways to choose the co captains O A Combination number of ways 30 OB Permutation number of ways 30 OC Permutation number of ways 15 O D Combination number of ways 15

At a high school 9th and 10th graders were asked whether they would prefer robotics or art as an elective The results are shown in the relative frequency table 9th graders 10th graders O A 30 O B 40 OC 46 D 14 Total Robotics 0 21 0 14 0 35 Art 0 33 0 32 0 65 Total 0 54 0 46 To the nearest percent what percentage of 10th graders surveyed preferred robotics 1 0

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

The value of an explanatory variable is 14 while the corresponding value of the response variable is 9 What would be the coordinates of this data point when plotted on a scatterplot O A 14 9 OB 9 14 O C 9 23 O D 23 9

The mean of the following data values is 34 19 23 35 41 42 O A True OB False

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

Suppose the linear regression line y 3 125x 23 115 predicts a lemonade stand s profits based on the number of cups sold If x represents the number of cups sold and y represents the lemonade stand s profits in dollars about how much can the lemonade stand expect in profits if it sells 225 cups OA 755 OB 730 OC 705 OD 680

If the formula 1 is used to find the mean of the following sample what is the value of n 43 36 93 2 28 83 10 22 9 84 41 3 13 20 66 7 A 16 OB 14 C 13 OD 15

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

At Howard High School 53 of all students participate in after school sports and 27 participate in both after school sports and music lessons What is the probability that a student participates in music lessons given that the student participates in after school sports OA 26 OB 80 O C 14 O D 51

The first quartile of a data set is 51 and the third quartile is 71 Which value in the data set is an outlier O A 20 O B 40 O C 80 D 100

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

A sporting goods store sells two types of bicycles in two colors The table shows its sales over the last year Silver Black Total Road bike 75 50 125 Mountain bike 45 30 75 Total 120 80 200 Are buying a road bike and buying a silver bike independent events A No because P road bike 0 625 and P road bike silver 0 375 B No because P road bike 0 625 and P road bike silver 0 625 O C Yes because P road bike 0 375 and P road bike silver 0 625 D Yes because P road bike 0 625 and P road bike silver 0 625

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

What is the equation for the line of best fit for the following data Round the slope and y intercept of the line to three decimal places O A y 10 671x 0 580 OB y 0 580x 10 671 C y 0 580x 10 671 D y 10 671x 0 580 x y 29 5 7 12 10 5 3 16 2

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

When representing a frequency distribution with a bar chart which of the following bars will be the tallest OA A bar representing a frequency of 65 OB A bar representing a frequency of 78 OC A bar representing a frequency of 91 OD A bar representing a frequency of 52

In a survey at a shoe store 200 customers were asked whether they have running shoes or basketball shoes The results are in the relative frequency table Have basketball shoes No basketball shoes Total OA 63 OB 54 C 37 Have running shoes No running shoes 0 23 0 14 D 46 0 31 What percentage of the people surveyed have basketball shoes 0 32 Total

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

What is the r value of the following data to three decimal places OA 0 686 OB 0 828 O C 0 686 OD 0 828 X 4 5 8 9 13 y 26 11 13 2 1

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