Answer:
12%
Step-by-step explanation:
50 - 44 = 6
6/50 = .12
.12 x 100 = 12% decrease
Your answer is 20,321.5+8707.37 which equals 29028.87 feet. Mount Everest is 29028.87 feet tall.
Answer
I think 55 times
Step-by-step explanation:
13,200/1,200 = 11
5/1200 = x/13,200
so if 1,200*11=13, 200 then 5*11= 55.
btw , could u give me the brainliest if i am right?
Answer:
The area under the normal curve from the mean to 118.8. is 0.47
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
![\mu = 100, \sigma = 10](https://tex.z-dn.net/?f=%5Cmu%20%3D%20100%2C%20%5Csigma%20%3D%2010)
Find the area under the normal curve from the mean to 118.8.
This is the pvalue of Z when X = 118.8 subtracted by the pvalue of Z when X = 100.
X = 118.8
![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{118.8 - 100}{10}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B118.8%20-%20100%7D%7B10%7D)
![Z = 1.88](https://tex.z-dn.net/?f=Z%20%3D%201.88)
has a pvalue of 0.97
X = 100
![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{100 - 100}{10}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B100%20-%20100%7D%7B10%7D)
![Z = 0](https://tex.z-dn.net/?f=Z%20%3D%200)
has a pvalue of 0.5
0.97 - 0.5 = 0.47
The area under the normal curve from the mean to 118.8. is 0.47
Answer:
See Explanation
Step-by-step explanation:
Required
Complete the blanks
Step 1: The unknowns
![x = the\ number](https://tex.z-dn.net/?f=x%20%3D%20the%5C%20number)
![3x = the\ other\ number](https://tex.z-dn.net/?f=3x%20%3D%20the%5C%20other%5C%20number)
Step 2: Sum of Reciprocals
The implies that both numbers be inversed, then added together.
i.e.
![\frac{1}{x} + \frac{1}{3x} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%2B%20%5Cfrac%7B1%7D%7B3x%7D%20%3D%204)
Step 3: Solve for x
![\frac{1}{x} + \frac{1}{3x} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%2B%20%5Cfrac%7B1%7D%7B3x%7D%20%3D%204)
<em>Factorize</em>
![\frac{1}{x}(1 + \frac{1}{3}) = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%281%20%2B%20%5Cfrac%7B1%7D%7B3%7D%29%20%3D%204)
![\frac{1}{x}(\frac{3 + 1}{3}) = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%28%5Cfrac%7B3%20%2B%201%7D%7B3%7D%29%20%3D%204)
![\frac{1}{x}(\frac{4}{3}) = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%28%5Cfrac%7B4%7D%7B3%7D%29%20%3D%204)
![\frac{4}{3x} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3x%7D%20%3D%204)
Cross multiply
![4 = 3x * 4](https://tex.z-dn.net/?f=4%20%3D%203x%20%2A%204)
![4 = 12x](https://tex.z-dn.net/?f=4%20%3D%2012x)
Solve for x
![x = \frac{4}{12}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4%7D%7B12%7D)
![x = \frac{1}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
Step 4; Verify
![\frac{1}{x} + \frac{1}{3x} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%2B%20%5Cfrac%7B1%7D%7B3x%7D%20%3D%204)
Substitute ![x = \frac{1}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
![\frac{1}{1/3} + \frac{1}{3*1/3} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1%2F3%7D%20%2B%20%5Cfrac%7B1%7D%7B3%2A1%2F3%7D%20%3D%204)
![3 + \frac{1}{1} = 4](https://tex.z-dn.net/?f=3%20%2B%20%5Cfrac%7B1%7D%7B1%7D%20%3D%204)
![3 + 1 = 4](https://tex.z-dn.net/?f=3%20%2B%201%20%3D%204)