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2 years ago

Work out the volume for this prism

Mathematics

1 answer:

melisa1 [442]2 years ago

4 0

<h3>given:</h3>

$area = 24 \: {cm}^{2}$

$height = 8 \: cm$

the volume of the given prism.

<h3>solution:</h3>

$v = area \: of \: cross \: section \times height$

$v = 24 \times 8$

$v = 192 \: {cm}^{3}$

hence, the volume of the prism is 192 cubic centimeters.

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What is sin 3.14 over 7

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The answer would be .00022752184

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4 years ago

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.9 and a mean diameter of 200

ExtremeBDS [4]

Answer:

64.76% probability that the mean diameter of the sample shafts would differ from the population mean by less than .2 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 200, \sigma = 1.9, n = 78, s = \frac{1.9}{\sqrt{78}} = 0.2151$

What is the probability that the mean diameter of the sample shafts would differ from the population mean by less than .2 inches?

This is the pvalue of Z when X = 200 + 0.2 = 200.2 subtracted by the pvalue of Z when X = 200 - 0.2 = 199.8. So

X = 200.2

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{200.2 - 200}{0.2151}$

$Z = 0.93$

$Z = 0.93$ has a pvalue of 0.8238

X = 199.8

$Z = \frac{X - \mu}{s}$

$Z = \frac{199.8 - 200}{0.2151}$

$Z = -0.93$

$Z = -0.93$ has a pvalue of 0.1762

0.8238 - 0.1762 = 0.6476

64.76% probability that the mean diameter of the sample shafts would differ from the population mean by less than .2 inches

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3 years ago

The value of a dependent variable in a function is always blank the value of independent variable

jarptica [38.1K]

The value of a dependent variable in a function is always dependent on the value of an independent variable correct choice is dependent on.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The problem is incomplete.

The complete problem is:

The value of the dependent variable in a function is always __ the value of the independent variable.

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As we know In a function, the value of the dependent variable is always determined by the value of the independent variable.

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f(x) = ax² + bx + c

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Thus, the value of a dependent variable in a function is always dependent on the value of an independent variable correct choice is dependent on.

Learn more about the function here:

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2 years ago

Can someone help me with this question?

Morgarella [4.7K]

Answer:

I got 15 and 12

PLZ CORRECT ME IF I AM WRONG PLEASE AND THanK YOU

Step-by-step explanation:

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3 years ago

A cell phone company is looking to place a new tower to service 3 cities. In order for it to best service each city, it needs to

omeli [17]

Answer:

circumscribed circle
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Step-by-step explanation:

The circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of the circle, the circumcenter, is equidistant from all of the polygon's vertices.

The center is found at the point of intersection between the perpendicular bisectors of any two (non-parallel) chords of the circle. That is, the perpendicular bisectors of any two of the sides of the triangle joining the cities will intersect at the circumcenter.

The method of locating the center of the circle this way is simple and effective.

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3 years ago

Work out the volume for this prism ​

Work out the volume for this prism