Answer:
$368 each week.
Step-by-step explanation:
What you do is you divide by 4 to get the amount he earned each week.
1472/4=$386 each week.
Answer:
And rounded up we have that n=3382
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Since we don't have prior information for the estimated proportion we can assume
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=3382
Answer:
Step-by-step explanation:
let y=f(x)
y=10x-10
flip x and y
x=10y-10
10 y=x+10
![y=\frac{1}{10}x+1\\f^{-1}(x)=\frac{1}{10}x+1\\(fof^{-1}{x})=f(f^{-1}(x))=f(\frac{1}{10} x+1)=10(\frac{1}{10} x+1)-10=x+10-10=x\\(fof^{-1})(-10)=-10](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B10%7Dx%2B1%5C%5Cf%5E%7B-1%7D%28x%29%3D%5Cfrac%7B1%7D%7B10%7Dx%2B1%5C%5C%28fof%5E%7B-1%7D%7Bx%7D%29%3Df%28f%5E%7B-1%7D%28x%29%29%3Df%28%5Cfrac%7B1%7D%7B10%7D%20x%2B1%29%3D10%28%5Cfrac%7B1%7D%7B10%7D%20x%2B1%29-10%3Dx%2B10-10%3Dx%5C%5C%28fof%5E%7B-1%7D%29%28-10%29%3D-10)
Answer:
9.42
Step-by-step explanation:
Hey There!
The first step of this problem is to find the formula for arc length
![arc-length=2\pi r(\frac{0}{360} )](https://tex.z-dn.net/?f=arc-length%3D2%5Cpi%20r%28%5Cfrac%7B0%7D%7B360%7D%20%29)
r=raduis
0 = angle
now we just plug in the values
![arc-length=2\pi 10\frac{54}{360} \\2\pi =6.283185307\\6.283185307x10=62.83185307\\62.83185307\frac{54}{360}=9.424777961](https://tex.z-dn.net/?f=arc-length%3D2%5Cpi%2010%5Cfrac%7B54%7D%7B360%7D%20%5C%5C2%5Cpi%20%3D6.283185307%5C%5C6.283185307x10%3D62.83185307%5C%5C62.83185307%5Cfrac%7B54%7D%7B360%7D%3D9.424777961)
so the arc length equals 9.424777961
the last step is to round to the nearest hundreth
so your final answer is 9.42