Answer: 2.308 .
Step-by-step explanation:
Let X denotes the number of earthquakes in SanFernando valley region of Los Angeles in 1994.
Given: 
Probability is 0.87 that there will be at least 15 earthquakes .
i.e. 
![\Rightarrow\ P(\dfrac{X-\mu}{\sigma}\geq\dfrac{15-17.6}{\sigma})=0.87\\\\ \Rightarrow\ P(Z\geq\dfrac{-2.6}{\sigma})=0.87\ \ \ [Z=\dfrac{X-\mu}{\sigma}]](https://tex.z-dn.net/?f=%5CRightarrow%5C%20P%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5Cgeq%5Cdfrac%7B15-17.6%7D%7B%5Csigma%7D%29%3D0.87%5C%5C%5C%5C%20%20%5CRightarrow%5C%20P%28Z%5Cgeq%5Cdfrac%7B-2.6%7D%7B%5Csigma%7D%29%3D0.87%5C%20%5C%20%5C%20%5BZ%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D)
Z-value corresponding to p-value 0.87 is -1.1263 .
So, 
Hence, the required standard deviation = 2.308 .
Answer:
$1236.67
Step-by-step explanation:
I = Prt
P = 26500
r = 0.07
t = 8/12 = 2/3
I = (26500)(0.07)(2/3)
I = 1236.67
Find the mean ( average):
105 + 104 + 110 + 112 + 114 + 106 + 108 +109 = 868
Mean = 868 / 8 = 108.5
Standard deviation:
108.5 - 105 = 3.5, 3.5^2 = 12.25
108.5 - 104 = 4, 4^2 = 16
110 - 108.5 = 1.5, 1.5^2 = 2.25
112 - 108.5 = 3.5, 3.5^2 = 12.25
114 - 108.5 = 5.5, 5.5^2 = 30.25
108.5 - 106 = 2.5, 2.5^2 = 6.25
108.5 - 108 = 0.5, 0.5^2 = 0.25
109 - 108.5 = 0.5, 0.5^2 = 0.25
12.25 + 16 +2.25 + 12.25 + 30.25 +6.25+0.25+0.25 = 79.75
79.75/8 = 9.96875, SQRT(9.96875) = 3.1573
Standard Deviation = 3.1573
108.8 +/- 1.96 *(3.1573/sqrt(8) = 110.687 and 106.312
110.687 - 108.5 = 2.19
108.5 - 106.312 = 2.19
Margin of error = +/- 2.19
The answer would be B. its hard to explain
People who picked up vanilla cupcakes = 80% x 53
<u> 80% x 53 = 0.8 x 53 = 42 people </u>(nearest whole number)
42 people picked vanilla cupcakes
Volume of a sphere = 4/3πr³
<u>4/3πr³ = 4/3π(7)³ = 1436.8 cm³</u>
The volume of the sphere is 1436.8 cm³
