a. To find out how many students practice every day, we can use a proportion:
7/12 = x/144
Solving for x, we get:
x = (7/12) * 144
x = 84
Therefore, we can predict that 84 students practice martial arts every day.
b. The sample size is given in the problem as 144.
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?
make it short
15 answers
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.
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. We want to find the probability of rolling an even number on the first roll, and then rolling a number that is not 2 on the second roll.
The probability of rolling an even number on the first roll is 3/6, since there are 3 even numbers (2, 4, and 6) out of 6 total possible outcomes.
Assuming the first roll was even, the probability of not rolling a 2 on the second roll is 4/5, since there are 4 numbers that are not 2 (1, 3, 4, and 5) out of 5 remaining possible outcomes.
Therefore, the probability of rolling an even number on the first roll, and then rolling a number that is not 2 on the second roll is:
(3/6) * (4/5) = 12/30 = 2/5
So the probability is 2/5, which is already in simplest form.
The probability of rolling an even number on the first roll is 3/6, since there are 3 even numbers (2, 4, and 6) out of 6 total possible outcomes.
Assuming the first roll was even, the probability of not rolling a 2 on the second roll is 4/5, since there are 4 numbers that are not 2 (1, 3, 4, and 5) out of 5 remaining possible outcomes.
Therefore, the probability of rolling an even number on the first roll, and then rolling a number that is not 2 on the second roll is:
(3/6) * (4/5) = 12/30 = 2/5
So the probability is 2/5, which is already in simplest form.
make it short
The probability of rolling an even number on the first roll, and then rolling a number that is not 2 on the second roll of a number cube is 2/5.
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. make it short
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. make it short
a. The theoretical probability of rolling a 3 on a number cube is 1/6 (since there is one 3 out of six possible outcomes). Therefore, the theoretical probability of rolling a 3 is 1/6 in simplest form.
b. The experimental probability of rolling a 3 is found by dividing the number of times 3 came up by the total number of rolls:
67/450
This fraction is already in simplest form. Therefore, the experimental probability of rolling a 3 is 67/450.
b. The experimental probability of rolling a 3 is found by dividing the number of times 3 came up by the total number of rolls:
67/450
This fraction is already in simplest form. Therefore, the experimental probability of rolling a 3 is 67/450.
make it short
The theoretical probability of rolling a 3 on a number cube is 1/6. The experimental probability of rolling a 3 after 450 rolls is 67/450.
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. a fraction in simplest form
b. a decimal
c. a percent
a. There are 12 letters total, and 2 of them are "A". Therefore, the probability of drawing an "A" is:
P(A) = 2/12 = 1/6
So the probability of drawing an "A" is 1/6 in simplest form.
b. The decimal equivalent of 1/6 is 0.16666... (repeating).
c. To convert the decimal to a percentage, we multiply by 100:
0.16666... * 100 = 16.666... (rounding to the nearest hundredth)
So the probability of drawing an "A" is 16.67% (rounded to the nearest hundredth).
P(A) = 2/12 = 1/6
So the probability of drawing an "A" is 1/6 in simplest form.
b. The decimal equivalent of 1/6 is 0.16666... (repeating).
c. To convert the decimal to a percentage, we multiply by 100:
0.16666... * 100 = 16.666... (rounding to the nearest hundredth)
So the probability of drawing an "A" is 16.67% (rounded to the nearest hundredth).
make it short
The probability of drawing an "A" from the letters MATHMATICAl is:
a. 1/6
b. 0.16667
c. 16.67%
a. 1/6
b. 0.16667
c. 16.67%
On Friday nights the local diner serves three main entrées, each with a choice of vegetable.
The entrées are beef, chicken, and fish. The vegetables are spinach, broccoli, and carrots. How
many possible dinners (entrée and vegetable combinations) does the diner serve? List them
The entrées are beef, chicken, and fish. The vegetables are spinach, broccoli, and carrots. How
many possible dinners (entrée and vegetable combinations) does the diner serve? List them
There are a total of 3 entrées and 3 vegetables, so we can use the fundamental counting principle to find the total number of combinations:
3 entrées * 3 vegetables = 9 possible dinner combinations
The 9 possible dinner combinations are:
1. Beef with spinach
2. Beef with broccoli
3. Beef with carrots
4. Chicken with spinach
5. Chicken with broccoli
6. Chicken with carrots
7. Fish with spinach
8. Fish with broccoli
9. Fish with carrots
3 entrées * 3 vegetables = 9 possible dinner combinations
The 9 possible dinner combinations are:
1. Beef with spinach
2. Beef with broccoli
3. Beef with carrots
4. Chicken with spinach
5. Chicken with broccoli
6. Chicken with carrots
7. Fish with spinach
8. Fish with broccoli
9. Fish with carrots
52 answers