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ZanzabumX [31]
3 years ago
7

The average weekly salary of two employees is $750. One makes $200 more than the other. Find their salaries.

Mathematics
2 answers:
Anit [1.1K]3 years ago
8 0
So first we start with division:

$750 divided by 2 equals $375.

Since one employee gets more than the other, we need to add more onto his/her salary.

So, next is addition.

$375 plus $200 equals $575.

So, one employee makes $375 while the other has an increase in his salary, so they get paid $575.

Hope I helped you!
Kisachek [45]3 years ago
3 0
So first, u want to set up a system of equations:

(x+y)÷2=750

x+200=y

we can use substitution by putting x+200 in place of y in the first equation.

(x+x+200)÷2=750

(2x+200)÷2=750
2x+200= 1500
2x=1300
x=650

Now that we have found x, we can substitute that value to find y.

x+200=y
650+200=y
y=850

so, one make $850 and the other makes $650.

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3 years ago
A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d
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Answer:

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

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What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

Z = \frac{X - \mu}{\sigma}

Z = \frac{21.4 - 19.7}{2}

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