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sladkih [1.3K]
3 years ago
15

The product of two consecutive, negative integers is 182. What equation represents the situation?

Mathematics
2 answers:
OLEGan [10]3 years ago
5 0

Answer:

-14,-13

Step-by-step explanation:

Sholpan [36]3 years ago
4 0
-13 and -14

They both are consecutive negative integers that multiply to 182.
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Area = lw

49 - x^2 = (a-b)(7+x)

49 - x^2 = (7-x)(7+x)

<u>The length is 7 - x meters.</u>

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photoshop1234 [79]

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2 years ago
The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with mean 69.3 and standard d
Zolol [24]

Answer:

The middle 92% of all heights fall between 64.4 inches and 74.2 inches.

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 problem, we have that:

\mu = 69.3, \sigma = 2.8

Between what two values does that middle 92% of all heights fall?

The middle 92% falls from X when Z has a pvalue of 0.5 - 0.92/2 = 0.04 to X when Z has a pvalue of 0.5 + 0.92/2 = 0.96. So from the 4th percentile to the 96th percentile.

4th percentile

X when Z = -1.75

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

-1.75 = \frac{X - 69.3}{2.8}

X - 69.3 = -1.75*2.8

X = 64.4

96th percentile

X when Z = 1.75

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

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X - 69.3 = 1.75*2.8

X = 74.2

The middle 92% of all heights fall between 64.4 inches and 74.2 inches.

6 0
3 years ago
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