Answer: 0.9927
Step-by-step explanation:
We assume that the number of earthquakes that occur in Los Angeles follows normal distribution.
As per given , we have

Sample size : n= 35
Let
be the sample mean.
Now ,

Hence, the probability that the mean of the sample is between 34 and 37.5. is 0.9927 .
Answer:
Solve for x and justify each step with a reason: 3(x - 2) + 5x = 9x - 24
Steps:
Justification (Reasons):
3(x - 2) + 5x = 9x - 24
Given
3x - 6 + 5x = 9x - 24
Distributive Property
3x + 5x - 6 = 9x - 24
Commutative Property of Addition
8x - 6 = 9x - 24
Combine Like Terms
8x - 8x - 6 = 9x - 8x - 24
Subtraction Property of Equality
0 - 6 = x - 24
Additive Inverse Property (left)
Combine Like Terms (right)
-6 = x - 24
Additive Identity Property
-6 + 24 = x - 24 + 24
Addition Property of Equality
18 = x + 0
Addition (left)
Additive Inverse Property (right)
18 = x
Additive Identity Property
The justification method shown above is an example of one method.
There are other justification methods that are deemed acceptable.
Step-by-step explanation:
hope it help brainliest pls
<span>The measurements of an average door are 80 inches by 36 inches. In this measurement, the length is 80 inches and the width is 36 inches. If Hank estimates the width of the door of his classroom, he will then most likely estimate it at 36 inches. To convert this into feet, you must know that 12 inches make 1 foot. So, 36 inches divided by 12 inches will convert the measurement to feet: 36/12 = 3. Thus, the answer is 3 feet.</span>