Answer:
475.
Step-by-step explanation:
We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.
We will use z-score formula and normal distribution table to solve our given problem.
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Top 60% means greater than 40%.
Let us find z-score corresponding to normal score to 40% or 0.40.
Using normal distribution table, we got a z-score of
.
Upon substituting our given values in z-score formula, we will get:
![-0.25=\frac{x-500}{100}](https://tex.z-dn.net/?f=-0.25%3D%5Cfrac%7Bx-500%7D%7B100%7D)
![-0.25*100=\frac{x-500}{100}*100](https://tex.z-dn.net/?f=-0.25%2A100%3D%5Cfrac%7Bx-500%7D%7B100%7D%2A100)
![-25=x-500](https://tex.z-dn.net/?f=-25%3Dx-500)
![-25+500=x-500+500](https://tex.z-dn.net/?f=-25%2B500%3Dx-500%2B500)
![x=475](https://tex.z-dn.net/?f=x%3D475)
Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.
Answer:
i think 114ft
Step-by-step explanation:
Answer:
19°
Step-by-step explanation:
I have attached an image showing this elevation.
From the image, let's first find the angle A by using cosine rule.
Thus;
8.1² = 5.5² + 13.1² - 2(5.5 × 13.1)cos A
65.61 = 30.25 + 171.61 - 144.1cos A
144.1cos A = 171.61 + 30.25 - 65.61
144.1cosA = 136.25
cosA = 136.25/144.1
cosA = 0.9455
A = cos^(-1) 0.9455
A = 19°
Answer:
figure it out
Step-by-step explanation:
Pick two point and do 10-0 over -5+3 and you get your slope
6(2x-8y=-24)
-2 (6x+4y=68)
12x-48y=-144
-12x-8y=-136
-56y=-280
-280÷-56=5
y=5
2x-8 (5)=-24
2x-40=-24
+40. +40
2x=16
16÷2=8
×=8
y=5
x=8
hope this helps, if needed a picture for better understanding,please comment.