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2 years ago

Which expression is equivalent to (5^3)^-2?

Mathematics

1 answer:

s2008m [1.1K]2 years ago

6 0

Answer:

The Last One

Step-by-step explanation:

1/5 x 5 x 5 x 5 x 5 x 5

Because:

5 x 5 = 25

25 x 5 = 125

125 x 5 = 625

625 x 5 = 3125

3125 x 5 = 15625

And (5^3)^-2 is equal to 1/15625

Hope This Helps! :)

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Suppose that 21 out of 25 people who apply to a certain college are accepted. What percentage of people who apply are accepted t

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Answer:

84%

Step-by-step explanation:

The first step is to write 21 as a fraction of 25, which is simply

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2 years ago

A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all

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Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.

Calculating the probability of the distribution for x:

$\to f(x) = 0.19\ for \ x=14\\\\\to f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\ for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\$

The formula for calculating the mean value:

$\bold{ E(X)= x \times f(x)}$

$=14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07$

$\bold{E(X^2) = x^2 \times f(x)}$

$=14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83$

use formula for calculating the Variance:

$\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}$

$= 51.83 - (5.07)^2\\\\= 51.83 - 25.70\\\\=26.13$

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Standard Deivation (SD) = $\sqrt{Variance}$

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