Answer:

Step-by-step explanation:
We begin with the inequality: 
We need to solve for x. This means that we need to subtract 150 from each side and then divide each side by 750. Then we need to simplify.

Since the sample is greater than 10, we can approximate this binomial problem with a normal distribution.
First, calculate the z-score:
z = (x - μ) / σ = (37000 - 36000) / 7000 = 0.143
The probability P(x > 37000$) = 1 - P(<span>x < 37000$),
therefore we need to look up at a normal distribution table in order to find
P(z < 0.143) = 0.55567
And
</span>P(x > 37000$) = 1 - <span>0.55567 = 0.44433
Hence, there is a 44.4% probability that </span><span>the sample mean is greater than $37,000.</span>
John's gross monthly salary is $2000.
John receives a 15% raise in his salary.
So first we have to find 15% of $2000.
15% of 2000 = 
= 
= 
= 
John's salary including the raise = $
= $2300.
Now 30% of his monthly paycheck withheld for taxes.
30% of 2300 = 
= 
= 
= 
So the amount of tax deducted = $690.
John's net monthly income = $
= $1610.
So we have got the required answer.
Answer:
83.85%
Step-by-step explanation:
We will use the empirical rule. For a standard normal distribution the mean is equal to 0 and the standard deviation is equal to 1. Then, between 3 standard deviations below the mean, we have 2.35% + 13.5% + 34% = 49.85% of data, and 1 standard deviation above the mean we have 34% of data. Therefore, the percentage of data that are between 3 standard deviations below the mean and 1 standard deviation above the mean is 49.85%+34% = 83.85%.
The first one is true, so is the fourth one. The second one is not true and I'm not sure about the 3rd one, you would have to write them all out in numerical order and find the one in the middle