a. To predict how many students practice every day, we can use the proportion:
7/12 = x/144
To solve for x, we can cross-multiply:
12x = 7 * 144
12x = 1008
x = 84
Therefore, we can predict that 84 martial arts students practice every day.
b. The sample size is 144, which represents 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. 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?
5 answers
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 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 on a number cube is 1/6, since there is 1 chance of rolling a 3 out of 6 possible outcomes (assuming the number cube is fair).
Therefore, the theoretical probability of rolling a 3 is 1/6.
b. The experimental probability of rolling a 3 is calculated by dividing the number of times a 3 comes up by the total number of rolls:
67/450
To simplify this fraction, we can divide both the numerator and denominator by 3:
(67/3)/(450/3)
= 22.33/150
To write this as a fraction in simplest form, we can round to the nearest whole number and simplify:
22.33/150 ≈ 1/7
Therefore, the experimental probability of rolling a 3 is approximately 1/7.
Therefore, the theoretical probability of rolling a 3 is 1/6.
b. The experimental probability of rolling a 3 is calculated by dividing the number of times a 3 comes up by the total number of rolls:
67/450
To simplify this fraction, we can divide both the numerator and denominator by 3:
(67/3)/(450/3)
= 22.33/150
To write this as a fraction in simplest form, we can round to the nearest whole number and simplify:
22.33/150 ≈ 1/7
Therefore, the experimental probability of rolling a 3 is approximately 1/7.
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
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. Since there are 12 letters in total and 2 of them are A's, the probability of drawing an A is 2/12. This fraction can be simplified to 1/6 by dividing both the numerator and denominator by 2.
Therefore, P(A) = 1/6.
b. To write this probability as a decimal, we can divide 1 by 6 using a calculator or long division:
1 ÷ 6 = 0.166666...
We can round this decimal to the nearest hundredth:
P(A) ≈ 0.17
c. To write this probability as a percent, we can multiply the decimal by 100:
P(A) = 0.166666... * 100%
P(A) ≈ 16.67%
Rounding to the nearest hundredth, we can also write:
P(A) ≈ 16.67%.
Therefore, P(A) = 1/6.
b. To write this probability as a decimal, we can divide 1 by 6 using a calculator or long division:
1 ÷ 6 = 0.166666...
We can round this decimal to the nearest hundredth:
P(A) ≈ 0.17
c. To write this probability as a percent, we can multiply the decimal by 100:
P(A) = 0.166666... * 100%
P(A) ≈ 16.67%
Rounding to the nearest hundredth, we can also write:
P(A) ≈ 16.67%.