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 .
we have 24= 2^3 x 3 ; 30=2 x 3 x 5 ; 36= 2^2 x 3^2
so lcm of 24, 30, 36 is 2^3 x 5 x 3^2 =360
ok done. Thank to me :>
The value of x is 60
<h3>How to determine the value of x?</h3>
The complete question is added as an image
From the image, we have:
ABD = 30
DBC = x
The sum of complementary angles is 90.
So, we have:
30 + x = 90
Subtract 30 from both sides
x = 60
Hence, the value of x is 60
Read more about complementary angles at:
brainly.com/question/16281260
#SPJ1
Writing it in perpendicular form is easy as 1, 2, 3.
First you should put it in y = mx + b Form (Slope intercept)
#1: y = x + 7
Simply flip the reciprocals
#2: y = -x + 7