Yes because division always makes numbers smaller. For example: 12 divided by 4 equals 3.
Answer:
writing the steps of a solution in small pieces of code
Step-by-step explanation:
edg 2020
Answer:
128
Step-by-step explanation:
well x be 128 cause their vertical angles
Answer:
a)
![f(x) = \frac{4}{x-8} - 3.5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B4%7D%7Bx-8%7D%20-%203.5)
Step-by-step explanation:
The y intercept of g(x) is the value of g when x = 0.
In this problem
![g(x) = \sqrt{x+4} - 6](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%7Bx%2B4%7D%20-%206)
The y-intercept is
![g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4](https://tex.z-dn.net/?f=g%280%29%20%3D%20%5Csqrt%7B0%2B4%7D%20%3D%20%5Csqrt%7B4%7D%20-%206%20%3D%202%20-%206%20%3D%20-4)
a)
![f(x) = \frac{4}{x-8} - 3.5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B4%7D%7Bx-8%7D%20-%203.5)
The y-intercept is:
![f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Cfrac%7B4%7D%7B0-8%7D%20-%203.5%20%3D%20-0.5%20-%203.5%20%3D%20-4)
This is the correct answer
b)
![f(x) = -\frac{4}{x} - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%5Cfrac%7B4%7D%7Bx%7D%20-%201)
The y-intercept is
![f(0) = -\frac{4}{0} - 1](https://tex.z-dn.net/?f=f%280%29%20%3D%20-%5Cfrac%7B4%7D%7B0%7D%20-%201)
This is an asymptote
c)
![f(x) = 2|x+2|](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%7Cx%2B2%7C)
The y-intercept is
![f(0) = 2|0+2| = 4](https://tex.z-dn.net/?f=f%280%29%20%3D%202%7C0%2B2%7C%20%3D%204)
d)
![f(x) = |x - 4|](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7Cx%20-%204%7C)
The y-intercept is
[tex]f(0) = |0-4| = |-4| = 4.
Using the normal distribution, it is found that 0.0329 = 3.29% of the population are considered to be potential leaders.
In a <em>normal distribution</em> with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 550, hence
.
- The standard deviation is of 125, hence
.
The proportion of the population considered to be potential leaders is <u>1 subtracted by the p-value of Z when X = 780</u>, hence:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{780 - 550}{125}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B780%20-%20550%7D%7B125%7D)
![Z = 1.84](https://tex.z-dn.net/?f=Z%20%3D%201.84)
has a p-value of 0.9671.
1 - 0.9671 = 0.0329
0.0329 = 3.29% of the population are considered to be potential leaders.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213