Answer:
Step-by-step explanation:
vol = r^2*h*pi
2257 = r^2*9*3.14159
r = square root ( 2257/ (9*3.14159))
r = 8.9345 cm
Answer:
<em></em>
<em></em>
<em></em>
Step-by-step explanation:
Given
![\begin{array}{ccccccc}{Sides} & {1} & {2} & {3} & {4} & {5} & {6} \ \\ {Freq} & {42} & {51} & {39} & {52} & {44} & {48} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccccccc%7D%7BSides%7D%20%26%20%7B1%7D%20%26%20%7B2%7D%20%26%20%7B3%7D%20%26%20%7B4%7D%20%26%20%7B5%7D%20%26%20%7B6%7D%20%5C%20%5C%5C%20%7BFreq%7D%20%26%20%7B42%7D%20%26%20%7B51%7D%20%26%20%7B39%7D%20%26%20%7B52%7D%20%26%20%7B44%7D%20%26%20%7B48%7D%20%5C%20%5Cend%7Barray%7D)
Required
P(Even)
The even sides are: 2, 4, 6
So:
![P(Even) = P(2) + P(4) + P(6)](https://tex.z-dn.net/?f=P%28Even%29%20%3D%20P%282%29%20%2B%20P%284%29%20%2B%20P%286%29)
This is then calculated as:
![P(Even) = \frac{n(2)}{Total} + \frac{n(4)}{Total} + \frac{n(6)}{Total}](https://tex.z-dn.net/?f=P%28Even%29%20%3D%20%5Cfrac%7Bn%282%29%7D%7BTotal%7D%20%2B%20%5Cfrac%7Bn%284%29%7D%7BTotal%7D%20%2B%20%5Cfrac%7Bn%286%29%7D%7BTotal%7D)
Replace n(2), n(4), n(6) with their frequencies
![P(Even) = \frac{51}{Total} + \frac{52}{Total} + \frac{48}{Total}](https://tex.z-dn.net/?f=P%28Even%29%20%3D%20%5Cfrac%7B51%7D%7BTotal%7D%20%2B%20%5Cfrac%7B52%7D%7BTotal%7D%20%2B%20%5Cfrac%7B48%7D%7BTotal%7D)
The total frequency is:
![Total =42+51+39+52+44+48](https://tex.z-dn.net/?f=Total%20%3D42%2B51%2B39%2B52%2B44%2B48)
![Total =276](https://tex.z-dn.net/?f=Total%20%3D276)
So:
![P(Even) = \frac{51}{Total} + \frac{52}{Total} + \frac{48}{Total}](https://tex.z-dn.net/?f=P%28Even%29%20%3D%20%5Cfrac%7B51%7D%7BTotal%7D%20%2B%20%5Cfrac%7B52%7D%7BTotal%7D%20%2B%20%5Cfrac%7B48%7D%7BTotal%7D)
![P(Even) = \frac{51}{276} + \frac{52}{276} + \frac{48}{276}](https://tex.z-dn.net/?f=P%28Even%29%20%3D%20%5Cfrac%7B51%7D%7B276%7D%20%2B%20%5Cfrac%7B52%7D%7B276%7D%20%2B%20%5Cfrac%7B48%7D%7B276%7D)
Take LCM
![P(Even) = \frac{51+52+48}{276}](https://tex.z-dn.net/?f=P%28Even%29%20%3D%20%5Cfrac%7B51%2B52%2B48%7D%7B276%7D)
![P(Even) = \frac{151}{276}](https://tex.z-dn.net/?f=P%28Even%29%20%3D%20%5Cfrac%7B151%7D%7B276%7D)
<em></em>
<em> --- approximated</em>
Answer:
Step-by-step explanation:
y=mx+b is the formula.
m is the slope and b is the y-intercept.
y-intercept is when x is 0 and x-intercept is when y is 0. So if x is 0, y=m(0)+b which is y=b. So on the graph y will be b when x is 0.
So in y=7x+2, 7 is the slope and 2 is the y-intercept.
Yes, since 7/20 x 5/5 = 35/100 which = 0.35