Answer:3/4
Step-by-step explanation:
Multiply 1/6 by 2 to get 2/12 and then add that to 7/12 and get 9/12
If you simplify that you end up with 3/4
Answer:
The answer is "
The sequence converges to infinity.
"
Step-by-step explanation:
Given:
![\to a_n=\frac{n^3-n}{n^2+5n}](https://tex.z-dn.net/?f=%5Cto%20a_n%3D%5Cfrac%7Bn%5E3-n%7D%7Bn%5E2%2B5n%7D)
Denominator
Numerator
![\therefore\\\\\lim_{n\to \infty}a_n=\frac{\infty}{1} =\infty](https://tex.z-dn.net/?f=%5Ctherefore%5C%5C%5C%5C%5Clim_%7Bn%5Cto%20%5Cinfty%7Da_n%3D%5Cfrac%7B%5Cinfty%7D%7B1%7D%20%3D%5Cinfty)
Answer:
a) 0.3277
b) 0.0128
Step-by-step explanation:
We are given the following information in the question:
N(2750, 560).
Mean, μ = 2750
Standard Deviation, σ = 560
We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
a) P (less than 2500 grams)
P(x < 2500)
![P( x < 2500) = P( z < \displaystyle\frac{2500 - 2750}{560}) = P(z < -0.4464)](https://tex.z-dn.net/?f=P%28%20x%20%3C%202500%29%20%3D%20P%28%20z%20%3C%20%5Cdisplaystyle%5Cfrac%7B2500%20-%202750%7D%7B560%7D%29%20%3D%20P%28z%20%3C%20-0.4464%29)
Calculation the value from standard normal z table, we have,
![P(x < 2500) = P(z < -0.4464) = 0.3277 = 32.77\%](https://tex.z-dn.net/?f=P%28x%20%3C%202500%29%20%3D%20P%28z%20%3C%20-0.4464%29%20%3D%200.3277%20%3D%2032.77%5C%25)
b) P ((less than 1500 grams)
P(x < 1500)
![P( x < 1500) = P( z < \displaystyle\frac{1500 - 2750}{560}) = P(z < -2.2321)](https://tex.z-dn.net/?f=P%28%20x%20%3C%201500%29%20%3D%20P%28%20z%20%3C%20%5Cdisplaystyle%5Cfrac%7B1500%20-%202750%7D%7B560%7D%29%20%3D%20P%28z%20%3C%20-2.2321%29)
Calculation the value from standard normal z table, we have,
![P(x < 1500) = P(z < -2.2321) = 0.0128 = 1.28\%](https://tex.z-dn.net/?f=P%28x%20%3C%201500%29%20%3D%20P%28z%20%3C%20-2.2321%29%20%3D%200.0128%20%3D%201.28%5C%25)
Answer:
B is your answer
Step-by-step explanation:
hope this helped! :D
Answer:22.20140
Step-by-step explanation:
43,218 = 100%
9,595 = x
9595(100) divided by 43,218 = 22.201397