The confidence level would be 99.5%.
When we know the confidence level, we find the z-score by:
Dividing the CL by 100;
Subtracting this result from 1;
Dividing this result by 1;
Subtracting this result by 1.
Algebraically, this looks like:
![1-(\frac{1-(\frac{CL}{100})}{2})](https://tex.z-dn.net/?f=1-%28%5Cfrac%7B1-%28%5Cfrac%7BCL%7D%7B100%7D%29%7D%7B2%7D%29)
Using a z-table (http://www.z-table.com), we see that a z-score of 2.81 results in an area under the curve of 0.9975, so we now have
![1-(\frac{1-(\frac{CL}{100})}{2})=0.9975](https://tex.z-dn.net/?f=1-%28%5Cfrac%7B1-%28%5Cfrac%7BCL%7D%7B100%7D%29%7D%7B2%7D%29%3D0.9975)
To begin solving this, we will subtract 1 from both sides:
![-(\frac{1-(\frac{CL}{100})}{2})=-0.0025 \\ \\(\frac{1-(\frac{CL}{100})}{2})=0.0025](https://tex.z-dn.net/?f=-%28%5Cfrac%7B1-%28%5Cfrac%7BCL%7D%7B100%7D%29%7D%7B2%7D%29%3D-0.0025%0A%5C%5C%0A%5C%5C%28%5Cfrac%7B1-%28%5Cfrac%7BCL%7D%7B100%7D%29%7D%7B2%7D%29%3D0.0025)
We will now multiply both sides by 2:
![1-\frac{CL}{100}=0.005](https://tex.z-dn.net/?f=1-%5Cfrac%7BCL%7D%7B100%7D%3D0.005)
Subtract 1 from both sides:
![-\frac{CL}{100}=-0.995 \\ \\\frac{CL}{100}=0.995](https://tex.z-dn.net/?f=-%5Cfrac%7BCL%7D%7B100%7D%3D-0.995%0A%5C%5C%0A%5C%5C%5Cfrac%7BCL%7D%7B100%7D%3D0.995)
Multiply both sides by 100:
CL = 99.5
Since the four choices have solution, there is no choice that have no solutions. (Correct choice: E)
<h3>What linear equation has no solution?</h3>
Herein we must check each choice to find if a solution exists or not by <em>algebra</em> properties. Now we proceed to check each case:
Choice A
1/(x - 31) = 5
1 = 5 · (x - 31)
1 = 5 · x - 155
5 · x = 156
x = 31.2
Choice B
12 · x - 11 = 0
12 · x = 11
x = 11/12
Choice C
15 - 3 · x = - 8
3 · x = 23
x = 23/3
Choice D
- x + 91 = 0
x = 91
Since the four choices have solution, there is no choice that have no solutions. (Correct choice: E)
<h3>Remark</h3>
The statement presents typing mistakes and is incomplete. Correct form is shown below:
<em>Which equation has no solution?</em>
<em>A. 1/(x- 31) = 5</em>
<em>B. 12 · x - 11 = 0</em>
<em>C. 15 - 3 · x = - 8</em>
<em>D. - x + 91 = 0</em>
<em>E. Neither of all</em>
To learn more on linear functions: brainly.com/question/21107621
#SPJ1
Answer:
Answer 1.25
Step-by-step explanation:
Tolal moths he take to read 8 book = 10
Therefore, Total month he will take to read 1 book =10/8=1.25
Good morning,
Answer:
![\frac{\sqrt{3} }{2} a](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20a)
Step-by-step explanation:
h = altitude
side = a
using Pythagorean theorem: in the right triangle:
h² = a² - (a/2)²
= a² - a²/4
= 3/4a²
= [(√3/2)×a]²
⇒ h = (√3/2)×a.
:)
First calculate the slope by change in y over change in x
it’s -0.334
then find y intercept
-6
so all together
-0.334x-6