Question

1. a science class has 8 juniors and 4 seniors. the teacher will randomly select 2 students, one at a time, to represent the class in a committee at the school. given that the first student selected is a junior, what is the probability that the second student selected will be a senior?

a. \\(\frac{1}{11}\\)

b. \\(\frac{1}{4}\\)

c. \\(\frac{1}{3}\\)

d. \\(\frac{4}{11}\\)

1. the total cost of renting a car is \\$35.00 per day plus \\(42.5\phi\\) for each mile the car is driven. what is the total cost of renting the car for 6 days and driving 350 miles?

(note: no sales tax is involved.)

f. \\$154.75
g. \\$224.88
h. \\$358.75
j. \\$420.00

Explanation:

Calculate conditional probability for Question 7

Using the Conditional Probability knowledge point

$$
LATEXBLOCK0
$$

Model the total cost for Question 8

Using the Algebraic Modeling and Unit Conversions knowledge points

$$
LATEXBLOCK1
$$

Answer:

Question 7

• A. \(\frac{1}{11}\)
• B. \(\frac{1}{4}\)
• C. \(\frac{1}{3}\)
• D. \(\frac{4}{11}\) (Correct answer)

Question 8

• F. \$154.75
• G. \$224.88
• H. \$358.75 (Correct answer)
• J. \$420.00