Answer:
Step-by-step explanation:
Given that Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard deviation of 6 inches.
If X is height then X is N(55,6)
Z score would be ![\frac{x-55}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-55%7D%7B6%7D)
![a) P(X](https://tex.z-dn.net/?f=a%29%20P%28X%3C48%29%20%3D%20P%28Z%3C-1.17%29%20%3D%200.5-0.3790%3D0.1210)
b) ![P(60](https://tex.z-dn.net/?f=P%2860%3CX%3C65%29%20%3D%20P%282%3CZ%3C2.83%29%20%3D0.4977%20-0.4772%3D0.0205)
c) Tallest 10% z = 1.28
X score =
inches
d)
i.e. 16.37% cannot go on this ride.
The solution for equation is x = -6
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
![5(x-2) + (-9) = -7(1-x)](https://tex.z-dn.net/?f=5%28x-2%29%20%2B%20%28-9%29%20%3D%20-7%281-x%29)
We have to solve the equation
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
Therefore, solve for brackets in given equation
![5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x](https://tex.z-dn.net/?f=5%28x-2%29%20%2B%20%28-9%29%20%3D%20-7%281-x%29%5C%5C%5C%5C5x%20-%2010%20-9%20%3D%20-7%20%2B%207x)
Solve for terms in left hand side of equation
![5x - 19 = -7+7x](https://tex.z-dn.net/?f=5x%20-%2019%20%3D%20-7%2B7x)
Move the variables to one side and constants to other side
![7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6](https://tex.z-dn.net/?f=7x%20-5x%20%3D%20-19%2B7%5C%5C%5C%5C2x%20%3D%20-12%5C%5C%5C%5CDivide%5C%20both%5C%20sides%5C%20by%5C%202%5C%5C%5C%5Cx%20%3D%20-6)
Thus the solution for equation is x = -6
Answer:
d. 10
Step-by-step explanation:
Answer:
m=3/4 j or m = .75j
Step-by-step explanation:
Answer:
(a+b)(a-b)
a(a - b) + b (a - b)
= a^2 - ab + ab - b^2
=a^2 - b^2
Step-by-step explanation:
- distribute a(a-b)
- distribute b(a-b)
- add like-terms