Answer:
The two diameters that separate the top 5% and the bottom 5% are 5.51 and 5.65 respectively.
Step-by-step explanation:
We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.58 millimeters and a standard deviation of 0.04 millimeters.
<em>Let X = diameters of bolts produced in a machine shop</em>
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= mean diameter = 5.58 millimeter
= standard deviation = 0.04 millimeter
<u>Now, we have to find the two diameters that separate the top 5% and the bottom 5%.</u>
- <u>Firstly, Probability that the diameter separate the top 5% is given by;</u>
P(X > x) = 0.05
P(
>
) = 0.05
P(Z >
) = 0.05
<em>So, the critical value of x in z table which separate the top 5% is given as 1.6449, which means;</em>
= 1.6449
![{x-5.58} = 1.6449 \times {0.04}](https://tex.z-dn.net/?f=%7Bx-5.58%7D%20%3D%201.6449%20%5Ctimes%20%7B0.04%7D)
= 5.58 + 0.065796 = 5.65
<u />
- <u>Secondly, Probability that the diameter separate the bottom 5% is given by;</u>
P(X < x) = 0.05
P(
<
) = 0.05
P(Z <
) = 0.05
<em>So, the critical value of x in z table which separate the bottom 5% is given as -1.6449, which means;</em>
= -1.6449
![{x-5.58} = -1.6449 \times {0.04}](https://tex.z-dn.net/?f=%7Bx-5.58%7D%20%3D%20-1.6449%20%5Ctimes%20%7B0.04%7D)
= 5.58 - 0.065796 = 5.51
Therefore, the two diameters that separate the top 5% and the bottom 5% are 5.51 and 5.65 respectively.
Answer:
Incorrect
I did the math and that is the awnser
Answer:
x y
-2 36
-1 6
0 1
1 1/6
2 1/36
Step-by-step explanation:
Given
![f(x) = (\frac{1}{6})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28%5Cfrac%7B1%7D%7B6%7D%29%5Ex)
Required
Complete the table
When x = -2.
Substitute -2 for
![f(-2) = (\frac{1}{6})^{-2](https://tex.z-dn.net/?f=f%28-2%29%20%3D%20%28%5Cfrac%7B1%7D%7B6%7D%29%5E%7B-2)
![f(-2) = 1/\frac{1}{36}](https://tex.z-dn.net/?f=f%28-2%29%20%3D%201%2F%5Cfrac%7B1%7D%7B36%7D)
![f(-2) = 36](https://tex.z-dn.net/?f=f%28-2%29%20%3D%2036)
When x = -1
![f(-1) = (\frac{1}{6})^{-1](https://tex.z-dn.net/?f=f%28-1%29%20%3D%20%28%5Cfrac%7B1%7D%7B6%7D%29%5E%7B-1)
![f(-1) = 1/\frac{1}{6}](https://tex.z-dn.net/?f=f%28-1%29%20%3D%201%2F%5Cfrac%7B1%7D%7B6%7D)
![f(-1) = 6](https://tex.z-dn.net/?f=f%28-1%29%20%3D%206)
When x = 0
![f(0) = \frac{1}{6}^0](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Cfrac%7B1%7D%7B6%7D%5E0)
![f(0) = 1](https://tex.z-dn.net/?f=f%280%29%20%3D%201)
When x = 1
![f(1) = \frac{1}{6}^1](https://tex.z-dn.net/?f=f%281%29%20%3D%20%5Cfrac%7B1%7D%7B6%7D%5E1)
![f(1) = \frac{1}{6}](https://tex.z-dn.net/?f=f%281%29%20%3D%20%5Cfrac%7B1%7D%7B6%7D)
When x = 2
![f(2) = \frac{1}{6}^2](https://tex.z-dn.net/?f=f%282%29%20%3D%20%5Cfrac%7B1%7D%7B6%7D%5E2)
![f(2) = \frac{1}{36}](https://tex.z-dn.net/?f=f%282%29%20%3D%20%5Cfrac%7B1%7D%7B36%7D)
Answer:
The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.
Step-by-step explanation:
5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.
25 + 144 = 169.
13 ^ 2 = 169.
Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.
Answer:
6 bouquets of tulips
Step-by-step explanation:
<h2><u>first find out the number of daisies.. </u></h2>
this is 4/5 * 30
= 24
there are 24 daises...
now to find the number of tulips are:
30 - 24 = 6
there a<u> 6 bouquets of tulips. </u>