Answer: If X = 5, z=<u>-3</u>
If X = 37, z= <u>3.4</u>
Step-by-step explanation:
We know that the formula to find the z-score for any random variable x is given by :-
![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
, where
= Population mean
= Population standard deviation.
As per given , we have
![\mu=20\\\\\sigma=5](https://tex.z-dn.net/?f=%5Cmu%3D20%5C%5C%5C%5C%5Csigma%3D5)
Then , the z-score for x =5
![z=\dfrac{5-20}{5}=\dfrac{-15}{5}=-3](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B5-20%7D%7B5%7D%3D%5Cdfrac%7B-15%7D%7B5%7D%3D-3)
i.e. If X = 5, z=<u>-3</u>
When x =37,then ![z=\dfrac{37-20}{5}=\dfrac{17}{5}=3.4](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B37-20%7D%7B5%7D%3D%5Cdfrac%7B17%7D%7B5%7D%3D3.4)
i.e. If X = 37, z= <u>3.4</u>
Answer:
4
Step-by-step explanation:
60/15=4
Answer:
trufe
Step-by-step explanation:
Answer:
800 months
Step-by-step explanation:
The formula for interest is:
(Capital * saving account * time) / 100
So:
(10000 * 0.06 * x) / (100) = 4800
We clear x:
(10000 * 0.06 * x) = (100) * 4800
x = 480,000 / (10000 * 0.06)
x = 800 months (66.67 years)
Answer:
Problem 1)
![slope_{perpendicular} = -4](https://tex.z-dn.net/?f=%20slope_%7Bperpendicular%7D%20%3D%20-4%20)
Problem 2)
![slope_{perpendicular} = -3](https://tex.z-dn.net/?f=%20slope_%7Bperpendicular%7D%20%3D%20-3%20)
Step-by-step explanation:
![slope = m = \dfrac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%20slope%20%3D%20m%20%3D%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
![slope_{perpendicular} = \dfrac{-1}{m}](https://tex.z-dn.net/?f=%20slope_%7Bperpendicular%7D%20%3D%20%5Cdfrac%7B-1%7D%7Bm%7D%20)
Problem 1) M(9,6), N(1,4)
![slope = m = \dfrac{6 - 4}{9 - 1} = \dfrac{2}{8} = \dfrac{1}{4}](https://tex.z-dn.net/?f=%20slope%20%3D%20m%20%3D%20%5Cdfrac%7B6%20-%204%7D%7B9%20-%201%7D%20%3D%20%5Cdfrac%7B2%7D%7B8%7D%20%3D%20%5Cdfrac%7B1%7D%7B4%7D%20)
![slope_{perpendicular} = \dfrac{-1}{\frac{1}{4}} = -4](https://tex.z-dn.net/?f=%20slope_%7Bperpendicular%7D%20%3D%20%5Cdfrac%7B-1%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%3D%20-4%20)
Problem 2) M(-2,2), N(4,-4)
![slope = m = \dfrac{4 - 2}{4 - (-2)} = \dfrac{2}{6} = \dfrac{1}{3}](https://tex.z-dn.net/?f=%20slope%20%3D%20m%20%3D%20%5Cdfrac%7B4%20-%202%7D%7B4%20-%20%28-2%29%7D%20%3D%20%5Cdfrac%7B2%7D%7B6%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20)
![slope_{perpendicular} = \dfrac{-1}{\frac{1}{3}} = -3](https://tex.z-dn.net/?f=%20slope_%7Bperpendicular%7D%20%3D%20%5Cdfrac%7B-1%7D%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%20-3%20)