Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of
.
- The standard deviation is of
.
- The lower bound of the top 30% is the 70th percentile, which is X when Z has a p-value of 0.7, so <u>X when Z = 0.84.</u>
A production worker has to make $542.64 a week to be in the top 30% of wage earners.
You can learn more about the normal distribution at brainly.com/question/24663213
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (82, - 96) and (x₂, y₂ ) = (87, - 86)
m = 
= 
= 2
- 4(8x-3)/4 =76/4
-8x+3=76/4
-8x+3=19
-8x=16
X=2
I hope this helps.
Here are two ways of doing it.
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1) The current price is 100% of the price. The price went down by 6%, so since 100% - 6% = 94%, the new price is 94% of the original price.
94% * 175 = 0.94 * 175 = 164.50
The new price is 164.50
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2) The discount is 6% of 175, so first, we find the discount.
6% of 175 = 0.06 * 175 = 10.5
Now we subtract the amount of the discount from the original price.
175 - 10.50 = 164.50
The new price is 164.50
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As you can see, both methods give you the same answer, 164.50
