<u>Answer:</u>
If Matthew knows the volume of a rectangular prism then the height of the prism is 6 meters.
<u>Solution:</u>
Given, Matthew knows the volume of a rectangular prism is 132
And the area of the base is 22
We have to find what is the height?
Now, we know that,
volume of the rectangular prism = area of the base of the prism
height of the prism.
So, substitute the given information in the above formula.
132 = 22
height of the prism.
Height of the prism = ![\frac{132}{22} = \frac{12}{2} = 6m](https://tex.z-dn.net/?f=%5Cfrac%7B132%7D%7B22%7D%20%3D%20%5Cfrac%7B12%7D%7B2%7D%20%3D%206m)
Hence height of the prism is 6 meters.
The probability that the sum of Michelle's rolls is 4 is 0.083
∴ P(A)=0.083
Step-by-step explanation:
Given that Michelle is rolling two six-sided dice, numbered one through six.
To find the probability that the sum of her rolls is 4:
∴ n(s)=36
Let P(A) be the probability that the sum of her rolls is 4
Then the possible rolls with sums of 4 can be written as
n(A)=3
The probability that the sum of her rolls is 4 is given by
=0.083
∴ P(A)=0.083
∴ the probability that the sum of Michelle's rolls is 4 is 0.083
-please give brainliest if correct!
The answer would be 24%.
You need to multiply the probabilities of each of those circumstances occurring separately (9/22 for choosing a blue one and 13/22 for choosing a yellow one) in order to find the probability of them happening in a row.
9/22 * 13/22 * 100% ~ 24%
Answer:
1. Correct
2. Correct
3. Incorrect
4. Correct
5. Correct
Step-by-step explanation:
Recall that:
and ![a^{-n}=\frac{1}{a^n}](https://tex.z-dn.net/?f=a%5E%7B-n%7D%3D%5Cfrac%7B1%7D%7Ba%5En%7D)
1. The first expression is
. We rewrite as positive index to get:
![x^{-2}y^2z^{-3}=\frac{y^2}{x^2z^3}](https://tex.z-dn.net/?f=x%5E%7B-2%7Dy%5E2z%5E%7B-3%7D%3D%5Cfrac%7By%5E2%7D%7Bx%5E2z%5E3%7D)
2. The given expression is ![x^3y^{-2}z^{4}=\frac{x^3z^4}{y^2}](https://tex.z-dn.net/?f=x%5E3y%5E%7B-2%7Dz%5E%7B4%7D%3D%5Cfrac%7Bx%5E3z%5E4%7D%7By%5E2%7D)
3. The given expression is:
<-------This is the correct expression Not ![x^{-3}y^{-2}z^2=\frac{y^2}{x^3z^2}](https://tex.z-dn.net/?f=x%5E%7B-3%7Dy%5E%7B-2%7Dz%5E2%3D%5Cfrac%7By%5E2%7D%7Bx%5E3z%5E2%7D)
4. The expression is ![x^{-5}y^{-4}z^{-2}=\frac{1}{x^5y^4z^2}](https://tex.z-dn.net/?f=x%5E%7B-5%7Dy%5E%7B-4%7Dz%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7Bx%5E5y%5E4z%5E2%7D)
5. The expression is ![x^3y^{-4}z^{-6}=\frac{x^3}{y^4z^6}](https://tex.z-dn.net/?f=x%5E3y%5E%7B-4%7Dz%5E%7B-6%7D%3D%5Cfrac%7Bx%5E3%7D%7By%5E4z%5E6%7D)