Answer:
<h2>A = 20</h2><h2>P = 6√10</h2>
Step-by-step explanation:
The formula of a distance between two points:

A(-3, 0) , B(3, 2)

A(-3, 0), D(-2, -3)

AB = CD and AD = BC
The area of a rectangle:

Substitute:

The perimeter of a rectangle:

Substitute:

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 ![[0.4162,0.7437]](https://tex.z-dn.net/?f=%5B0.4162%2C0.7437%5D)
I should think that this works just like the trapezoids
volume=base times height
so
base=pir^2
height=x
r=d/2=14/2=7
base=pi7^2=49pi
so
V=49pix
1176pi=49pix
divide both sides by 49pi
24=x
I would say 24 units
Answer:
5
Step-by-step explanation:
Arc length = r × theta
15 = 3 × theta
theta = 15/3
theta = 5 radians
For a trapezoid:
A=(17.3+10.7)×13.4/2=28×6.7=187.6 square feet