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3 years ago

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Danielle earns a 7.75% commission on everything she sales at the electronic store where she works. She also earns a base salary

of $600 per week. How much did she earn last week if she sold $4,100 in electronics merchandise?

1 answer:

Andrew [12]3 years ago

4 0

The first thing thing you must do is create an equation for this problem. Remembering that 7.75% = 0.0775

($4,100 × 0.0775 + $4,100 ) + $600

Now, all you have to do is solve it. You will first have to start with the numbers in the parenthesis using the order of operation (PEMDAS).

P = Parenthesis

E = Exponent

M = Multiplication

D = Division

A = Addition

S = Subrtaction

$4,100 × 0.0775 + $4,100 ) + $600

$4,417. 75 + $4,100 + $600

$4,417. 75 + $600 = $5,017.75

Danielle made $5,017. 17 last week.

I hope this helps! :)

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Step-by-step explanation:

Q1 :MNM Corporation gives each of its 500 employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 36 is taken from the population of 500 employees. What is the probability that the average aptitude test score in the sample will be less than 78.69?

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

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Where $\mu=75$ and $\sigma=15$

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$\bar X \sim N(\mu=75, \frac{\sigma}{\sqrt{n}}=\frac{15}{\sqrt{36}}=2.5)$

For this case we want this probability:

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