Answer:
A noun, is a Person, Place, or Thing. A verb is an action such as Run, Jump, breathing. And a Tangent is a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.
Step-by-step explanation:
the can is 5 inches tall, so its height is 5 inches, so 3 inches off 5 inches that'd be 3/5.
the can has a diameter of 0.8 inches, meaning it has a radius of half that, or 0.4 inches.
if say the volume of iced-tea is V, how much is 3/5 of V? well, is just their product.
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=0.4\\ h=5 \end{cases}\implies V=\pi (0.4)^2(5)\implies V=0.8\pi \\\\\\ \stackrel{\textit{and 3/5 of that will be}}{\cfrac{3}{5}\cdot 0.8\pi }\implies V\approx \stackrel{in^3}{1.51}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cylinder%7D%5C%5C%5C%5C%20V%3D%5Cpi%20r%5E2%20h~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D0.4%5C%5C%20h%3D5%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Cpi%20%280.4%29%5E2%285%29%5Cimplies%20V%3D0.8%5Cpi%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Band%203%2F5%20of%20that%20will%20be%7D%7D%7B%5Ccfrac%7B3%7D%7B5%7D%5Ccdot%200.8%5Cpi%20%7D%5Cimplies%20V%5Capprox%20%5Cstackrel%7Bin%5E3%7D%7B1.51%7D)
Answer:
yellow area ≈ 48.3 cm²
Step-by-step explanation:
The area of the yellow region is the difference between the area of a square with side length 15 cm and the area of a quarter circle with radius 15 cm. It is helpful to know the formulas for area for a square and a circle.
Area of the square = s² = (15 cm)² = 225 cm²
The area of the full circle is ...
Area of circle = πr² = π(15 cm)² = 225π cm²
Then the area of 1/4 of that circle will be ...
Area of quarter circle = (225π cm²)/4 = 56.25π cm²
--
The difference of these areas is the yellow area:
yellow area = 225 cm² - 56.25π cm² ≈ 48.2854 cm²
yellow area ≈ 48.3 cm²
Answer:
$5,735
Step-by-step explanation:
$15,000 multiplied by 0.37(aka 37%) gives you $5,735.
Answer:
The 80% confidence interval for the mean
(4.6199 , 4.7801)
Step-by-step explanation:
<u>Explanation</u>:-
Assuming that the population standard deviation for the number of energy drinks consumed each week is 1
Given the Population standard deviation 'σ' = 1
The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7
given sample size 'n' = 256
mean of the sample 'x⁻' = 4.7
<u>confidence interval for the mean</u>
The 80% confidence interval for the mean is determined by

the z-score of 80% level of significance = 1.282

(4.7 - 0.0801 , 4.7 +0.0801)
(4.6199 , 4.7801)
<u>Conclusion</u>:-
The 80% confidence interval for the mean
(4.6199 , 4.7801)