Josh and Betty randomly picked 10 marbles each from a box containing 50 marbles of certain colors. The table shows the samples they picked

Color of Marble Number Josh Picked Number Betty picked
Blue 2 3
Yellow 5 6
Green 3 1

Which statement is most likely true based on this information?
A. The box contains mostly yellow marbles.
B. The box contains mostly blue marbles.
C. The box contains few blue marbles.
d. The box contains mostly green marbles.

Ryan works in the school's book room that has a bin containing math, physics, and chemistry books. He performed 40 trials of randomly drawing a book and replacing it back into the bin. The table below shows the frequency of drawing each book.

Type of Book Frequency Experimental Probability
Math 10 0.25
Physics 12 0.30
Chemistry 18 0.45

Based on the data, what is the expected number of times a chemistry book will be drawn in 800 trials?
a.450 times
b.300 times
c.240 times
d.360 times

Marie works part-time at a restaurant. The table shows the number of ice cream sundaes she served on her first two days. What is the relationship between the number of chocolate sundaes and strawberry sundaes served by Marie?

Chocolate Sundaes Strawberry Sundaes
24 36
18 27
a. 1 chocolate: 4 strawberry
b. 2 chocolate sundaes : 3 strawberry sundaes
c. 5 chocolate sundaes : 9 strawberry sundaes
d. no proportional relationship

A survey was conducted on the average monthly water consumption of 60 randomly selected households in two different cities. Thirty of the households in Seaside were surveyed, and 30 households in Drier Park were surveyed.

The following statistical information, in thousands of gallons, was calculated from that survey. Based on these samples, what generalization can be made?

Seaside Drier Park
First Quartile 1.9 3.1
Second Quartile 3.2 4.8
Third Quartile 4.5 5.3

a. at least 25 percent of the households in Seaside consume less than 2,000 gallons of water on average.
b. At least 50 percent of the households in both cities consume less than 4,000 gallons of water on average.
c. Not enough information is provided to draw any of these conclusions.
d. At least 50 percent of the households in Drier Park consume more than 5,000 gallons of water on average.

Rachael wants to purchase a vacation trip worth $1,700 for her parents. She has already saved $560. She works part-time in a university where she gets paid $20 an hour.

Rachael wants to know how many hours she has to work in order to have enough money to purchase the trip. So, she created the following inequality.

20x - 560 > 1,700

Part A: Solve the inequality for x and explain if the solution is reasonable or not.

Part B: Explain how each piece of the inequality corresponds with the situation. If the inequality is incorrect, explain why that/those part(s) of the inequality is/are incorrect.