Answer:
<h2>x = 5.7</h2>
Step-by-step explanation:
![\frac{8}{7} = \frac{x}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B5%7D%20)
To find x first cross multiply
We have
7x = 8 × 5
7x = 40
Divide both sides by 7
That's
![\frac{7x}{7} = \frac{40}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7x%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B40%7D%7B7%7D%20)
![x = \frac{40}{7}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B40%7D%7B7%7D%20)
x = 5.7142
We have the final answer as
<h3>x = 5.7 to the nearest tenth</h3>
Hope this helps you
Answer:
2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:
![\mu = 36, \sigma = 5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2036%2C%20%5Csigma%20%3D%205)
The first step to solve this question is finding the proportion of students which use the computer more than 40 minutes, which is 1 subtracted by the pvalue of Z when X = 40. So
![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{40 - 36}{5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B40%20-%2036%7D%7B5%7D)
![Z = 0.8](https://tex.z-dn.net/?f=Z%20%3D%200.8)
has a pvalue of 0.7881.
1 - 0.7881 = 0.2119
So 21.19% of the students use the computer for longer than 40 minutes.
Out of 10000
0.2119*10000 = 2119
2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.
The defenition of a rectangle is that it has 4 angles that measure 90 degrees
ther are infinite legnths and inifinite numbers
intinite side legnths so infinite number of unique rectangles
Answer:
I'm still looking for the next question
You need two pieces and 1 has to be 2x longer than the other
set x as the smaller piece (easier to always go with the smaller value as x)
the other piece is 2x (double in size)
your equations would be 3x=240>>> x= 60
so smaller piece/ x= 60
bigger piece/ 2x= 120