Answer:
a. 7.54385 in^2
Step-by-step explanation:
surface area equation = 3.14 * r^2
diameter is 2 times radius
x=3.14 (1.55^2)
x=7.54385 in^2
Given data:
Total number of songs = 8
Rock songs = 3
Reggae songs = 2
Country songs = 3
Probability = Number of favorable outcomes / Total number of outcomes
To find:
When song is selected randomly to play first song and then second song from remaining ones ,
Probability when both the songs are from Reggae songs,


Thus , the probability is 1/28.
Answer:
Use the slope formula and slope-intercept form y
=
m
x
+
b to find the equation. y
=
−
x
+
4
Let
denote the value on the
-th drawn ball. We want to find the expectation of
, which by linearity of expectation is
![E[S]=E\left[\displaystyle\sum_{i=1}^5B_i\right]=\sum_{i=1}^5E[B_i]](https://tex.z-dn.net/?f=E%5BS%5D%3DE%5Cleft%5B%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5E5B_i%5Cright%5D%3D%5Csum_%7Bi%3D1%7D%5E5E%5BB_i%5D)
(which is true regardless of whether the
are independent!)
At any point, the value on any drawn ball is uniformly distributed between the integers from 1 to 10, so that each value has a 1/10 probability of getting drawn, i.e.

and so
![E[X_i]=\displaystyle\sum_{i=1}^{10}x\,P(X_i=x)=\frac1{10}\frac{10(10+1)}2=5.5](https://tex.z-dn.net/?f=E%5BX_i%5D%3D%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5E%7B10%7Dx%5C%2CP%28X_i%3Dx%29%3D%5Cfrac1%7B10%7D%5Cfrac%7B10%2810%2B1%29%7D2%3D5.5)
Then the expected value of the total is
![E[S]=5(5.5)=\boxed{27.5}](https://tex.z-dn.net/?f=E%5BS%5D%3D5%285.5%29%3D%5Cboxed%7B27.5%7D)
Answer: c = 1.59 * a
Step-by-step explanation:
You got the answer correct.