Answer:
8
Step-by-step explanation:
Answer:
25% probability you will roll a prime number and spin a prime number
Step-by-step explanation:
If we have two events, A and B, and they are independent, we have that:
![P(A \cap B) = P(A) \times P(B)](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%20P%28A%29%20%5Ctimes%20P%28B%29)
In this question:
Event A: Rolling a prime number.
Event B: Spinning a prime number.
Both the cube and the spinner have four values, ranging from one to four.
2 and 3 are prime values, that is, 2 of those values. Then
![P(A) = P(B) = \frac{2}{4} = \frac{1}{2}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20P%28B%29%20%3D%20%5Cfrac%7B2%7D%7B4%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
What is the probability you will roll a prime number and spin a prime number
The cube and the spinner are independent of each other. So
![P(A \cap B) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} = 0.25](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%3D%200.25)
25% probability you will roll a prime number and spin a prime number
-850 feet,
-1200+800-450,
Assuming that it started at 0
Answer:
4096
Step-by-step explanation:
Lets start by applying a basic exponent rule. (a*b)^n is equal to a^n * b^n
Therefore,
((9(3/16)^-2)^3/2 = 9^3/2 * ((3/16)^-2)^3/2
Now lets focus on ((3/16)^-2)^3/2
(3/16)^-2 = 1/(3/16)^2 = (16^2/3^2)^3/2.
We can quickly eliminate the fractional exponent by plugging it into the numerator and the denominator and we get, 16^3/3^3 = 4096/27
So now we have, 9^3/2 * 4096/27
We can easily compute 9^3/2, which is (sqrt(9))^3, which is equal to 27.
Therefore, you have, 27*4096/27. The 27 cancels to give us a final answer of 4096
14+38=52
52-38= 14
Answer: 38 and 14.
I think this is the answer.