Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:
![z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B73-75%7D%7B5%7D%20%3D-0.4)
For x = 78, the z score is:
![z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B78-75%7D%7B5%7D%20%3D0.6)
From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%
Answer:
All real numbers greater than 0
Step-by-step explanation:
When you look at y = log (2) x
Base 2, exponent y.
x = 2^y
x can only be a positive number.
It decreases by 0.5
The original mean was 5.5
The new mean is 5
Answer:
e^2 -7 = x
Step-by-step explanation:
2=ln(x+7)
Raise each side to the base of e
e^2 = e^ln (x+7)
The e^ln cancel
e^2 = x+7
Subtract 7 from each side
e^2 -7 = x +7-7
e^2 -7 = x
Well, there are a lot of ways in which President Roosevelt impacted the US. He brought a nation to the brink of disaster from the Great depression and helped overcome it with his New deal which gave a lot of people jobs and helped rebuild America because of the CCC, among other programs in the New Deal. He also guided America through World War 2 and created peace between nations by signing the Atlantic Charter which then was the basis for the United Nations. As you can see President Roosevelt did alot to help America, he was a very good president