Answer:
4/3
Step-by-step explanation:
Because 6-2 = 4 and 1 - (-2) = 3 b/c a negative and a negative cancel each other out.
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
It is generally useful to use the formula. The procedure is to substitute the given values for the variables in the formula, then do the arithmetic.
... A = (1/2)r²·θ . . . . r is the radius, θ is the central angle in radians
Put the numbers in ...
... A = (1/2)(4 in)²·(π/3)
... A = 8π/3 in² ≈ 8.37758 in²
Step-by-step explanation:
multiply both sides by a - r
divide both sides by s
subtract a from both sides
invert the signs
Answer:
$654.98
Around 7.7 years
Step-by-step explanation:
Value = P × e^(rt)
= 500 × e^(0.09×3)
= 500 × e^(0.27)
= 654.9822254
Double: 500 × 2 = 1000
1000 = 500 × e^(0.09t)
e^(0.09t) = 2
Use ln both sides
0.09t × lne = ln2
t = ln2 ÷ 0.09
t = 7.70163543
