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?
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?
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?
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?
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?
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 predict how many students practice every day, we can set up a proportion:
7/12 = x/144
Solving for x, we get:
x = (7/12) * 144 = 84
So we can predict that about 84 students practice every day.
b. The sample size is 144, as that is the total number of martial arts students at the school.
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 6 possible outcomes when rolling a number cube: 1, 2, 3, 4, 5, or 6. The probability of rolling an even number is 3/6, or 1/2, since there are three even numbers (2, 4, 6) out of six total numbers.
To find the probability of rolling an even number first, and then not rolling a 2 on the second roll, we need to consider the following outcomes:
- Roll an even number (1/2 probability)
- Not roll a 2 on the second roll (5/6 probability, since there are five possible outcomes that are not 2)
To find the probability of both of these outcomes happening together (or the probability of rolling an even number first, and then not rolling a 2), we can multiply the individual probabilities:
P(even, then not 2) = (1/2) * (5/6)
Simplifying this fraction, we get:
P(even, then not 2) = 5/12
Therefore, the probability of rolling an even number first, and then not rolling a 2 on the second roll, is 5/12.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A number cube is rolled 450 times. The number 3 comes up 67 times.
a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.
a. The theoretical probability of rolling a 3 is found by dividing the probability of rolling a 3 by the total number of possible outcomes. Since there is only one way to roll a 3 out of six possible outcomes, the probability of rolling a 3 is 1/6. Therefore, the theoretical probability of rolling a 3 is:
P(rolling a 3) = 1/6
b. The experimental probability of rolling a 3 is found by dividing the number of times a 3 was rolled by the total number of rolls. In this case, the number 3 came up 67 times out of 450 rolls. Therefore, the experimental probability of rolling a 3 is:
P(rolling a 3) = 67/450
To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor (GCF), which is 1:
P(rolling a 3) = 67/450 (no simplification possible)
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability P(A). Write the probability as:
a. a fraction in simplest form
b. a decimal
c. a percent
a. There are 12 letters in total, and two of them are A's. Therefore, the probability of drawing an A is:
P(A) = 2/12
This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor (GCF), which is 2:
P(A) = 1/6
b. To find the decimal equivalent of this probability, we can divide the numerator (1) by the denominator (6):
P(A) = 1/6 = 0.166666...
or rounded to three decimal places:
P(A) ≈ 0.167
c. To find the percentage equivalent of this probability, we can multiply the decimal by 100:
P(A) = 0.1666... * 100%
P(A) ≈ 16.7%