Answer:
99.7% confidence interval is ![[0.4162,0.7437]](https://tex.z-dn.net/?f=%5B0.4162%2C0.7437%5D)
Step-by-step explanation:
The formula for a confidence interval for a population proportion is 
where 
is the sample proportion, 
is the sample size, and 
is the critical score for the desired confidence level.
We are given a sample size of 
and a sample proportion of 
. Our critical score for a 99.7% confidence level would be 
Therefore, the approximate 99.7% confidence interval for the population parameter is ![CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }=0.58\pm 2.9677\sqrt{\frac{0.58(1-0.58)}{80} }=[0.4162,0.7438]](https://tex.z-dn.net/?f=CI%3D%5Chat%7Bp%7D%5Cpm%20z%5E%2A%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%20%7D%3D0.58%5Cpm%202.9677%5Csqrt%7B%5Cfrac%7B0.58%281-0.58%29%7D%7B80%7D%20%7D%3D%5B0.4162%2C0.7438%5D)
So we are 99.7% confident that the true population proportion is contained within the interval
Answer:399
Step-by-step explanation:
Given
baseball consist of Nine innings and there are 9 different Positions in baseball thus there are total of 9! ways in which a line can be formed
but in a single game there are 9 innings so there are 
and there are 101 games in single season so total no of season a team can play without repeating the same line-up
so a team can play a total of 399 season with different line up in every game.
Answer:
6,861 cm³
Step-by-step explanation:
First, find the volume of of the cylinder, the formula fr a cylinder is π·r²·h
π·9²·15≈3,817
Then, find the volume of the cone, 1/3(πr²)(h)
π·9²·12≈3,054
Finally, add them together to get ≈6,861 cm³
First, we can do distributive property.
-3(n + 8) = 15
-3 x n = -3n, -3 x 8 = -24
So we have, -3n + -24 = 15
Minus -24 on both sides of the equal sign.
-3n + -24 - -24 = 15 - -24
-3n = 39
Divide 3 on both sides.
-3n/-3 = 39/-3
n = -13
Hope i helped!! :D
I believe the answer is C. It doesn't make sense to drop an object from -16 feet, and it doesn't make sense to have a -120 in the equation. It should be positive for it to come out right.
