How come it’s a right triangle, I think you do a2+b2=C2. Therefore, you do 9.4 times 9.4 and then 15.1 times 15.1. So it will be 9.4 + b2=15.1. 88.36+ b2=228.01. Then you subtract that and it will be 139.65. Then you do square roots because you are trying to get rid of the second power. And the final answer is 11.81736011. How they told you to round it to the nearest tenth, I will be 11.8. I think this is the answer.
Answer: ($3.532, $4.166)
Step-by-step explanation:
Given : Significance level : ![\alpha: 1-0.90=0.10](https://tex.z-dn.net/?f=%5Calpha%3A%201-0.90%3D0.10)
Critical value : ![z_{\alpha/2}=1.645](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.645)
Sample size : n= 157
Sample mean : ![\overline{x}=\$\ 3.849](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D%5C%24%5C%203.849)
Standard deviation : ![\sigma= \$\ 2.421](https://tex.z-dn.net/?f=%5Csigma%3D%20%5C%24%5C%202.421)
The confidence interval for population mean is given by :_
![\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![\text{i.e. }\$\ 3.849\pm (1.64)\dfrac{2.421}{\sqrt{157}}\\\\\approx\$\ 3.849\pm0.317\\\\=(\$\ 3.849-0.317,\$\ 3.849+0.317)=(\$\ 3.532,\$\ 4.166)](https://tex.z-dn.net/?f=%5Ctext%7Bi.e.%20%7D%5C%24%5C%203.849%5Cpm%20%281.64%29%5Cdfrac%7B2.421%7D%7B%5Csqrt%7B157%7D%7D%5C%5C%5C%5C%5Capprox%5C%24%5C%203.849%5Cpm0.317%5C%5C%5C%5C%3D%28%5C%24%5C%203.849-0.317%2C%5C%24%5C%203.849%2B0.317%29%3D%28%5C%24%5C%203.532%2C%5C%24%5C%204.166%29)
Hence, the 0% confidence interval for the average tip given at this restaurant = ($3.532, $4.166)
Answer:
4
Step-by-step explanation:
The 1st cylinder used to fill the pitcher has:
height:
h = 9 in
radius:
r = r
The volume of a cylinder is given by:
![V=\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20h)
Therefore, the volume of the 1st cylinder is
![V=\pi r^2 9=9\pi r^2](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%209%3D9%5Cpi%20r%5E2)
We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.
Then, we have a second cylinder, which has height
h = 9 in
and radius
r' = 2r
So the volume of this cylinder is
![V'=\pi r'^2 h = \pi (2r)^2 9 =9\pi (4r^2)=36\pi r^2](https://tex.z-dn.net/?f=V%27%3D%5Cpi%20r%27%5E2%20h%20%3D%20%5Cpi%20%282r%29%5E2%209%20%3D9%5Cpi%20%284r%5E2%29%3D36%5Cpi%20r%5E2)
This means that the number of pitchers that can be filled by this 2nd cylinder is
![n=\frac{V'}{V}=\frac{36\pi r^2}{9\pi r^2}=4](https://tex.z-dn.net/?f=n%3D%5Cfrac%7BV%27%7D%7BV%7D%3D%5Cfrac%7B36%5Cpi%20r%5E2%7D%7B9%5Cpi%20r%5E2%7D%3D4)
On Friday, Beth will most likely do 39 sit ups. Every day she is doing an extra 6 sit ups.... Thursday would be 33 sit ups and Friday would be 39 sit ups.
Answer:
<em>$605</em>
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Step-by-step explanation:
The correct question is
Taho Earns His Regular Pay Of $11 Per Hour For Up To 40 Hours Of Work Per Week. For each hour over 40 hours of work per week. Taho earns 1½ times his regular pay. How much does Taho earn in a week in which he works 50 hours?
a. $550
b. $605
c. $625
d. $750
e. $825
For the first $40 that Taho works, he earns $11 x 40 = $440
For the extra $10 (since he worked 50 hrs that week)
1½ of $11 per hr = 1.5 x $11 = $16.5
for the 10 days extra = $16.5 x 10 = $165
total pay = $440 + $165 = <em>$605</em>
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