Answer:
No
Step-by-step explanation:
Given:
Volume of cone = 144 in³
Diameter of 12 inch
Find:
Volume of cylinder[Same height and radius] is 144 in³ or not
Computation:
Volume of cone = [1/3][π][r²][h]
144 = [1/3][3.14][(12/2)²][h]
144 = 37.68 h
Height of cone = 3.82
Volume of cylinder[Same height and radius] = [π][r²][h]
Volume of cylinder[Same height and radius] = [3.14][6²][3.82]
Volume of cylinder[Same height and radius] = 431.81
Volume of cylinder[Same height and radius] = 432 in³
So,
Volume of cylinder[Same height and radius] is not 144 in³
Answer:
Standard deviation of the population is 2.4
Step-by-step explanation:
Finishing times of 6 participants in 200 meter dash has been given as 27, 28, 27, 25, 24, 31.
We have to calculate the standard deviation of the population formed by these timings.
Formula of standard deviation is
![\sigma=\sqrt{\frac{\sum(x-\mu)^{2}}{n} }](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%5Cfrac%7B%5Csum%28x-%5Cmu%29%5E%7B2%7D%7D%7Bn%7D%20%7D)
where
= standard deviation
= mean of the data
n = number of scores in the sample
Mean of given data = ![\frac{27+28+27+25+24+31}{6}=27](https://tex.z-dn.net/?f=%5Cfrac%7B27%2B28%2B27%2B25%2B24%2B31%7D%7B6%7D%3D27)
![\sum(x-\mu)^{2}=(27-27)^{2}+(28-27)^{2}+(27-27)^{2}+(25-28)^{2}+(24-27)^{2}+(31-27)^{2}](https://tex.z-dn.net/?f=%5Csum%28x-%5Cmu%29%5E%7B2%7D%3D%2827-27%29%5E%7B2%7D%2B%2828-27%29%5E%7B2%7D%2B%2827-27%29%5E%7B2%7D%2B%2825-28%29%5E%7B2%7D%2B%2824-27%29%5E%7B2%7D%2B%2831-27%29%5E%7B2%7D)
= ![0+1+0+4+9+16](https://tex.z-dn.net/?f=0%2B1%2B0%2B4%2B9%2B16)
= 30
Now ![\frac{\sum(x-\mu)^{2}}{n}=\frac{30}{6}=5](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csum%28x-%5Cmu%29%5E%7B2%7D%7D%7Bn%7D%3D%5Cfrac%7B30%7D%7B6%7D%3D5)
= 2.236 ≈ 2.24
Therefore, standard deviation of the given data is 2.24
The number of sports books is 13 books.
<h3>What is an equation?</h3>
A mathematical equation is the representation of a problem by the use of variables. Often times, an equation is formed from the factors that are in a problem.
We have to represented each of the books read with an algebraic term;
Let the number of mystery books be y
Let the number of sports books be x
Total number of books = 23
We know that;
x + y = 23
but y = 10
x = 23 - 10
x = 13 books
Learn more about algebra:brainly.com/question/24875240
#SPJ1
(x - 2)^2 + (y - 6)^2 = 2
This is found by plugging in the points and knowing that the radius is 2.
(2,2) is not on the circle because it is 4 away from the center, which is twice the radius.
I’m pretty sure the answer is 7.775