25 anything raised to zero equals one
Answer:
![V=96\ inch^2](https://tex.z-dn.net/?f=V%3D96%5C%20inch%5E2)
Step-by-step explanation:
Given that,
A rectangular prism is 4 inches long, 3 inches wide and 8 inches tall.
We need to find the volume of the rectangular prism. The formula for the volume of prism is given by :
![V=lbh\\\\V=4\times 3\times 8\\\\V=96\ inch^2](https://tex.z-dn.net/?f=V%3Dlbh%5C%5C%5C%5CV%3D4%5Ctimes%203%5Ctimes%208%5C%5C%5C%5CV%3D96%5C%20inch%5E2)
So, the volume of the prism is equal to
.
Hello!
You can make two expressions based on what you know
let x equal the larger number
let y equal the smaller number
x + y = 95
x + 2y = 120
We can use elimination to get rid of x
You can subtract the two equation to get rid of x
-y = -25
Since y is negative we can multiply both sides by -1 to make y positive
y = 25
Now we can put this into one of the other equations to find x
x + 25 = 95
subtract 95 from both sides
x = 70
The answers are 70 and 25
Hope this helps!
Solution:
Given the mean and standard deviation;
![\mu=40,\sigma=8](https://tex.z-dn.net/?f=%5Cmu%3D40%2C%5Csigma%3D8)
The z-score formula is;
![z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
(a)
![\begin{gathered} x=34,n=1 \\ \\ z=\frac{34-40}{\frac{8}{\sqrt{1}}} \\ \\ z=-0.75 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D34%2Cn%3D1%20%5C%5C%20%20%5C%5C%20z%3D%5Cfrac%7B34-40%7D%7B%5Cfrac%7B8%7D%7B%5Csqrt%7B1%7D%7D%7D%20%5C%5C%20%20%5C%5C%20z%3D-0.75%20%5Cend%7Bgathered%7D)
(b)
![\begin{gathered} x=34,n=4 \\ \\ z=\frac{34-40}{\frac{8}{\sqrt{4}}} \\ \\ z=-1.5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D34%2Cn%3D4%20%5C%5C%20%20%5C%5C%20z%3D%5Cfrac%7B34-40%7D%7B%5Cfrac%7B8%7D%7B%5Csqrt%7B4%7D%7D%7D%20%5C%5C%20%20%5C%5C%20z%3D-1.5%20%5Cend%7Bgathered%7D)
(c)