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Kipish [7]
3 years ago
11

Gary's contract says he must work at least 20 hours per week. Gary is paid $15.50 per hour. Gary is also paid $50 per week. Gary

wants to make more than $400 this week
Mathematics
1 answer:
Rasek [7]3 years ago
8 0

Answer: Gary needs to work more than 25hours for the week to earn above $400.

Step-by-step explanation:

For Gary to be paid $50 per week means he worked $50/ $15.50= 3.23 hours for the week.

To make over $400 this week he needs to work for

400/15.50 = 25.81 hours and more for the week to earn above $400

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Hope this helps!

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I don’t bought a new jacket at 75% off it’s original price was $80 and the sales tax is 15% what is the total cost
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Answer:

$69

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80 x 75% (0.75) = 60

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3 years ago
A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye
Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we select appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sum of values of <em>X</em>, i.e ∑<em>X</em>, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{x}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

 \sigma_{x}=\sqrt{n}\sigma

The information provided is:

<em>μ</em> = $970

<em>σ</em> = $129

<em>n</em> = 102

Since the sample size is quite large, i.e. <em>n</em> = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

P (\sum X \leq  100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}

                              =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

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5m+8 that’s it I’m pretty sure
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