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Kryger [21]
3 years ago
14

Find two numbers, if Their sum is −7 and their difference is 14

Mathematics
2 answers:
saul85 [17]3 years ago
7 0

Answer:

3.5 and -10.5

Step-by-step explanation:

i checked, its correct

Mademuasel [1]3 years ago
6 0
Let
a------------> first number
b------------> second number

we know that
a+b=-7--------> a=-7-b----------> equation 1
a-b=14--------> equation 2

<span>I substitute 1  in 2
</span>
(-7-b)-b=14-------------> -7-b-b=14----------> -7-2b=14-------> 2b=-7-14
2b=-21---------> b=-10.5
a=-7-b-------> a=-7-(-10.5)-----> a=-7+10.5------> a=3.5

the answer is
the two numbers are 
a=3.5
and
b=-10.5
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Step-by-step explanation:

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Problems of normal distributions can be solved using the z-score formula.

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

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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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.

This means that \mu = 54.3, \sigma = 14.5

1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?

The proportion is the pvalue of Z when X = 10. So

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

Z = \frac{10 - 54.3}{14.5}

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The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.

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X = 35

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

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The proportion is 1 subtracted by the pvalue of Z when X = 95.

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

Z = \frac{95 - 54.3}{14.5}

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Z = 2.81 has a pvalue of 0.9975

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0.0025*100% = 0.25%

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Answer:

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