Answer:
z score Perry ![z=-1.402](https://tex.z-dn.net/?f=z%3D-1.402)
z score Alice ![z=-1.722](https://tex.z-dn.net/?f=z%3D-1.722)
Alice had better year in comparison with Perry.
Step-by-step explanation:
Consider the provided information.
One year Perry had the lowest ERA of any male pitcher at his school, with an ERA of 3.02. For the males, the mean ERA was 4.206 and the standard deviation was 0.846.
To find z score use the formula.
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Here μ=4.206 and σ=0.846
![z=\frac{3.02-4.206}{0.846}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B3.02-4.206%7D%7B0.846%7D)
![z=\frac{-1.186}{0.846}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B-1.186%7D%7B0.846%7D)
![z=-1.402](https://tex.z-dn.net/?f=z%3D-1.402)
Alice had the lowest ERA of any female pitcher at the school with an ERA of 3.16. For the females, the mean ERA was 4.519 and the standard deviation was 0.789.
Find the z score
where μ=4.519 and σ=0.789
![z=\frac{3.16-4.519 }{0.789}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B3.16-4.519%20%7D%7B0.789%7D)
![z=\frac{-1.359}{0.789}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B-1.359%7D%7B0.789%7D)
![z=-1.722](https://tex.z-dn.net/?f=z%3D-1.722)
The Perry had an ERA with a z-score is –1.402. The Alice had an ERA with a z-score is –1.722.
It is clear that the z-score value for Perry is greater than the z-score value for Alice. This indicates that Alice had better year in comparison with Perry.
1 unit right 7 units down is the translation
Answer:
is this supposed to say 7.7 x
? if so then it's 770 (you move the decimal over 2 places to the right)
Correct answer:
"<span>D. As speed increases, height increases."
The x-axis is the one that indicates speed. The y-axis is the one that indicates height. As points of the represented line on the graph get bigger as to their x coordinate, they also get bigger on their y cordinate. When x increases, y increases also. This shows that their is a proportional relation between both the speed and height.</span>
Let x represent length of the stringer of the staircase.
We have been given that a builder makes staircases where each step is 29 cm long and rises 18 cm so people don't trip. Every staircase has a stringer - a diagonal support connecting all the steps. We are asked to find the length of the stringer of the staircase.
The length of the stringer of the staircase will be equal to diagonal of right triangle with two legs 29 cm and 18 cm.
Using Pythagoras theorem, we will get:
![x^2=29^2+18^2](https://tex.z-dn.net/?f=x%5E2%3D29%5E2%2B18%5E2)
![x^2=841+324](https://tex.z-dn.net/?f=x%5E2%3D841%2B324)
![x^2=1165](https://tex.z-dn.net/?f=x%5E2%3D1165)
Now we will take square root of both sides of equation.
![\sqrt{x^2}=\pm\sqrt{1165}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D%3D%5Cpm%5Csqrt%7B1165%7D)
![x=\pm 34.13209](https://tex.z-dn.net/?f=x%3D%5Cpm%2034.13209)
![x\approx \pm 34.13](https://tex.z-dn.net/?f=x%5Capprox%20%5Cpm%2034.13)
Since length cannot be negative, therefore, the length of the stringer of the staircase would be approximately 34.13 cm.