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Digiron [165]
3 years ago
15

What is the answer to this equation? 2(9+x) = -5(4-x)

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

Answer:

Hi!

Alrighty here we go:

2(9+x)=-5(4-x)

18+2x=-20+5x

Now combine like terms

+20+18+2x=-20+20+5x

38+2x=5x

38+2x-2x=5x-2x

38=3x

x= 38/3

Hope this helped!

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A polygon has an interior angle sum of 9000. How many sides does it have
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52

Step-by-step explanation:

The sum of the interior angles of a polygon is

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Here the sum = 9000°, thus

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I assume 3.14 is meant to represent π. So x=32cos(π/3)=16 and y=32sin(π/3)=16√3=27.7128 approx.
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Tony is reseeding the front lawn. The lawn covers 2,500 square feet and grass seed is $15.98 for each 7-pound bag. Each pound of
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4 0
3 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}

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

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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