AnswersINMT2 Integrated Math 2 Sem 2 26-27Volume of Cylinders, Cones, and Spheres

Probability and Two-Way Tables Answers

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3

For the soccer banquet, the players and their family members selected their favorite main dish and side dish. Of the 39 people who chose chicken as the main dish, 18 wanted potatoes. Of the 32 people who chose rice as a side dish, 6 chose fish as a main dish. A total of 8 people chose a vegetarian meal with potatoes, and a total of 10 people chose fish as their main dish.

A
A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 18, 21, 39. The third column is labeled Fish with entries 4, 6, 10. The fourth column is labeled Vegetarian with entries 8, 5, 13. The fifth column is labeled total with entries 30, 32, 62.
Option A
B
A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.
Option B
C
A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 14, 18, 32. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 19, 8, 27. The fifth column is labeled total with entries 39, 30, 69.
Option C
D
A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 18, 14, 32. The third column is labeled Fish with entries 4, 6, 10. The fourth column is labeled Vegetarian with entries 8, 19, 27. The fifth column is labeled total with entries 30, 39, 69.
Option D
4

Information about the recycling drive at school is shown in the table. Let A be the event that the item pulled out of the recycling bin is a plastic bottle, and let B be the event that a tenth grader recycled that item.

Question illustration
A
A and B are independent events because P(A∣B) = P(A).
B
A and B are independent events because P(A∣B) = P(B).
C
A and B are not independent events because P(A∣B) ≠ P(A).
D
A and B are not independent events because P(A∣B) ≠ P(B).
5

The two-way table shows the medal count for the top-performing countries in the 2012 Summer Olympics.Which statement is true?

Question illustration
A
The probability that a randomly selected silver medal was awarded to Great Britain is .
Option A
B
The probability that a randomly selected medal won by Russia was a bronze medal is .
Option B
C
The probability that a randomly selected gold medal was awarded to China is .
Option C
D
The probability that a randomly selected medal won by the United States was a silver medal is .
Option D
7

Information about the students at Jackson High School is shown in the table.

Question illustration
A
Out of the 352 eleventh graders at the school, 173 of them are girls.
B
Out of the 511 boys at the school, 150 of them are tenth graders.
C
Out of the 523 tenth graders at the school, 173 of them are boys.
D
Out of the 376 girls at the school, 182 of them are eleventh graders.
8

A survey was taken of children between the ages of 7 and 12. Let A be the event that the person rides the bus to school, and let B be the event that the person has 3 or more siblings.Which statement is true about whether A and B are independent events?

Question illustration
A
A and B are independent events because P(A∣B) = P(A) = 0.12.
B
A and B are independent events because P(A∣B) = P(A) = 0.25.
C
A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25.
D
A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25.

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Probability and Two-Way Tables Answers — INMT2…