College Math Prep B - Final Exam

The employees of a company were asked how long it took (in minutes) to commute to work. The results are shown in the following histogram. The time is on the x-axis, in intervals of 10 minutes, starting at 0. The number of employees is on the y-axis. How many employees took 30 minutes or less to get to work?

22

A standard deck of 52 cards has four suits: hearts, clubs, diamonds, and spades. Each suit has 13 cards: 2 through 10, jack, queen, king, and ace. The probability of drawing a diamond from a standard deck of cards is 0.25. What are the odds against randomly drawing a diamond from a standard deck?

3 : 1

The number of reviews for each of the local restaurants is counted. The results are normally distributed with a mean of 25 and a standard deviation of 4. What percentage of restaurants have between 20 and 25 reviews?

39.4%

At basketball practice, Gabriela practiced making free throws. She shot the ball 45 times and recorded whether the ball went in the basket. Based on these results, what is the probability that Gabriela will make the next basket?

62%

After participating in a track meet, athletes were given the option to drink a sports drink or water. The results showed that 85 athletes chose a sports drink, 62 athletes chose water, and 14 athletes chose not to drink anything. Of those that chose water or a sports drink, 27 athletes choose to drink both. Use the Venn diagram to help answer the question. How many athletes did not choose water?

72

A student wants to earn a C for a class. To get this grade, the average of his six test scores must be 70. He has the following grades on five tests: 60, 78, 65, 68, 72 What grade must the student get on the next test so that the average of his scores is 70? Enter your answer as a number, like this: 42

77

A researcher collected the number of letters in each of 200 first names. The data are found to be normally distributed with a mean of 5.82 and a standard deviation of 1.43. What percentage of first names have seven letters or less?

79.4%

A company surveyed 36 people at an Italian restaurant and asked if they ordered the following pizza toppings: pepperoni (P), sausage (S), or mushrooms (M). • A total of 21 people ordered pepperoni on their pizza, but only 8 ordered just pepperoni. • A total of 22 people ordered sausage on their pizza, but only 7 ordered just sausage. • A total of 14 people ordered mushrooms on their pizzas, but only 3 ordered just mushrooms. • A total of 5 people ordered all three toppings on their pizza. • Only 1 person ordered a cheese pizza without any toppings. How many people ordered mushrooms and sausage?

9

Which sets are proper subsets of set A? A={1,3,5,7,9} Select all that apply.

{1, 5, 7} {9} { }

Let U be the set of integers from 1 to 15. U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} Set A and set B are subsets of U. Set A contains multiples of 2, such as 2, 4, 6.... Set B contains multiples of 3, such as 3, 6, 9.... Use the Venn diagram to help answer the question.

{2, 3, 4, 6, 8, 9, 10, 12, 14, 15}

A bakery offers 10 kinds of cookies, 5 of which are frosted. The baker wants to put 3 different cookies in bags to sell. From the 10 types of cookies, what is the probability that the baker places 3 frosted cookies into a bag?

1/12

Examine the following data set. 1.3, 2.5, 3.1, 4.2, 5.7, 5.7, 5.7, 6.4, 6.4, 8.9, 8.9, 9.1, 11.7, 12.2, 12.6, 13.0, 14.4, 15.5, 17.3, 18.0 Which value is at the 65th percentile of the data set?

11.7

Chloe recorded the amount she spent on lunch each day and then calculated the following measures: mean: $5.68 median: $5.85 mode: $3.05 If Chloe bought lunch every day for 30 days, approximately how much did she spend in total? Enter your answer as a dollar amount, like this: $42.53

$170.40

Jamaal recorded the amount of money he spent on snacks and then calculated the following measures: mean: $5.19 median: $4.84 mode: $4.39 What is the most common amount he spent on a snack? Enter your answer as a dollar amount, like this: $42.53

$4.39

At a community center, 200 members are asked if they own a bike and if they have owned a bike in the past. The following results are from the survey: What is the probability that a person owns a bike, given that they have owned a bike in the past?

0.48

A four-digit security code is randomly selected from the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. What is the probability that the code does not have any repeated digits?

0.504

A bag contains yellow and red marbles. The odds of drawing a red marble are 6:7. What is the probability that a marble drawn at random from the bag is not red?

0.54

Jaime recorded the types of movies that appeared at a local movie theater. He also included their ratings. What is the probability that a movie is a comedy, given that it is rated PG-13?

0.68

The following circle graph shows the distribution of 1,500 students and their majors at a local college. Which sections of the graph contain more than 250 students? Select all that apply.

Business Engineering Communications

A standard deck of cards has 52 cards divided into four suits: hearts, clubs, diamonds, and spades. How would you find the experimental probability of drawing a heart from a standard deck of cards?

Draw a card from the deck, record if it is a heart, then return the card to the deck. Repeat 40 times. Divide the number of results by 40.

For one week, Judson tracked how many people liked his photos on a social media site. Using the data, he created the following line chart. He labeled the x-axis with the days of the week, starting with Monday. He then labeled the y-axis with the number of likes, marked by intervals of 10. Between which two consecutive days is the greatest decrease in the number of likes?

Monday and Tuesday

Find the first, second, and third quartile of the data set. 9, 7, 3, 16, 12, 14, 17, 5, 3, 11, 8 Match each quartile with its value.

Q1: 5 Q2: 9 Q3: 14

Compare the following two sample data sets: A: 5,4,6,3,6,7 B: 6,5,7,6,1,8 Which data set has the greater sample standard deviation, and which data set has the greater range? Use the calculator if needed. Select the answer that is completely correct.

The sample standard deviation of set B is greater. The range of set B is greater.

A six-sided die was rolled 500 times, and the results were written down as follows: What is the theoretical probability and the experimental probability of rolling a 6? Select the answer that correctly shows both probabilities.

The theoretical probability is 0.167. The experimental probability is 0.136.

Find the mean, median, mode and range of the following data set. 1.9, 2.8, 1.2, 3.8, 3.2, 3.8, 4.3, 3.1, 3.7, 3.8, 3.2, 3.6 Match each value to the correct measure.

mode: 3.8 median: 3.4 range: 3.1 mean: 3.2