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Rus_ich [418]
3 years ago
15

What is the volume of this rectangular prism?

Mathematics
1 answer:
Fynjy0 [20]3 years ago
7 0

Answer: V≈5.21 cm³

Step-by-step explanation:

To find the volume of a rectangular prism, you multiply the length, width and height.

V=wlh

Since we were given the length, width and height, we can directly multiply them together.

V=\frac{5}{2} *\frac{5}{3} *\frac{5}{4}             [multiply]

V=\frac{125}{24} =5.21 cm^3

Now, we know that the volume is approximately 5.21 cm³ or 125/24 cm³.

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Which is the graph of f(x) = Square root of x?
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Answer:

Third option given

Step-by-step explanation:

On a coordinate plane, a parabola opens to the right with a vertex at (0, 0).

use the following x values to plot the associated y values on the x-y plane:

If x = 0,  then y=\sqrt{0}  =0

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3 years ago
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What is -0.4 as a decimal?
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3 years ago
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The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a st
Alinara [238K]

Answer:

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

Step-by-step explanation:

Problems of normally distributed samples can be 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}

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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so \mu = 0.5, \sigma = 0.05.

What is the probability that a line width is greater than 0.62 micrometer?

That is P(X > 0.62)

So

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

Z = \frac{0.62 - 0.5}{0.05}

Z = 2.4

Z = 2.4 has a pvalue of 0.99180.

This means that P(X \leq 0.62) = 0.99180.

We also have that

P(X \leq 0.62) + P(X > 0.62) = 1

P(X > 0.62) = 1 - 0.99180 = 0.0082

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

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2 years ago
I am 3/2 as old as Paul. Ten years later, I will be 5/4 of Paul's age then. How old am I now? How old is Paul now?
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Answer:

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Step-by-step explanation:

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