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
There are 9 possible dinner combinations:
- Beef with spinach
- Beef with broccoli
- Beef with carrots
- Chicken with spinach
- Chicken with broccoli
- Chicken with carrots
- Fish with spinach
- Fish with broccoli
- Fish with carrots
Marissa is researching information about martial arts students. She found that 7 out of 12 martial artists practice every day. There are 44 martial arts students at a school.
Part a. Predict how many students practice every day
Part b. What is the sample size?
Part a. To predict how many students practice every day, we can set up a proportion:
7/12 = x/44
where x is the number of students who practice every day.
To solve for x, we can cross-multiply:
12x = 7 * 44
x = 28
Therefore, we can predict that 28 students practice every day.
Part b. The sample size is the total number of martial arts students at the school, which is given as 44.
You roll a number cube twice. Find p (even,then not 2) . Write the probability as a fraction in simplest form
The probability of rolling an even number on a number cube is 3/6 or 1/2 (since there are 3 even numbers out of 6 possible outcomes).
The probability of not rolling 2 on a number cube is 5/6 (since there are 5 outcomes that are not 2 out of 6 possible outcomes).
To find the probability of rolling an even number, then not 2, we need to multiply the probability of rolling an even number on the first roll (1/2) by the probability of not rolling 2 on the second roll (5/6).
P(even, then not 2) = (1/2) * (5/6) = 5/12
Therefore, the probability of rolling an even number, then not 2, is 5/12.
A number cube is rolled 450 times. The number 3 comes up 67 times.
Part a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
Part b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form
Part a. The theoretical probability of rolling a 3 on a number cube is 1/6.
Part b. The experimental probability of rolling a 3 is calculated by dividing the number of times the 3 comes up by the total number of rolls:
Experimental probability of rolling a 3 = Number of times 3 comes up / Total number of rolls
Experimental probability of rolling a 3 = 67/450
To simplify this fraction, we can divide both the numerator and denominator by 3:
Experimental probability of rolling a 3 = 22.33%/150
Therefore, the experimental probability of rolling a 3 is 67/450 or approximately 22.33%.
Thank you
You're welcome! If you have any more math questions, feel free to ask.
To find the number of possible dinner combinations, you need to multiply the number of entrée options by the number of vegetable options.
The diner serves 3 main entrées (beef, chicken, and fish) and has 3 vegetable choices (spinach, broccoli, and carrots).
To calculate the number of possible dinner combinations, you'll multiply 3 (the number of entrées) by 3 (the number of vegetable choices):
3 (entrée options) × 3 (vegetable options) = 9 possible dinner combinations.
Here are the 9 possible dinner combinations:
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