Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Marissa is researching information about martial arts students. She found that 7 out of 12 martial artists practice every day. There are 144 martial arts students at a school.
a. Predict how many students practice every day.
b. What is the sample size?
a. To find how many students practice every day, we can use a proportion:
7/12 = x/144
To solve for x, we can cross-multiply:
12x = 7 * 144
Simplifying:
12x = 1008
x = 84
Therefore, we can predict that 84 martial arts students practice every day.
b. The sample size is 144, as stated in the problem.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
You roll a number cube twice. Find P(even, then not 2). Write the probability as a fraction in simplest form.
There are six equally likely outcomes when rolling a number cube: 1, 2, 3, 4, 5, or 6.
To find P(even, then not 2), we need to find the probability of rolling an even number on the first roll (which has a probability of 3/6 or 1/2, since there are three even numbers) and then rolling any number that is not 2 on the second roll (which has a probability of 5/6, since there are five numbers that are not 2):
P(even, then not 2) = P(even) x P(not 2)
P(even) = 1/2
P(not 2) = 5/6
P(even, then not 2) = (1/2) x (5/6) = 5/12
Therefore, the probability of rolling an even number on the first roll, and then rolling any number that is not 2 on the second roll is 5/12.
a. To find how many students practice every day, we can use a proportion:
7/12 = x/144
To solve for x, we can cross-multiply:
12x = 7 * 144
Simplifying:
12x = 1008
x = 84
Therefore, we can predict that 84 martial arts students practice every day.
b. The sample size is 144, as stated in the problem.