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2 years ago

Find the volume of the rectangular prism

Mathematics

2 answers:

AlladinOne [14]2 years ago

7 0

Answer: V= 750

Step-by-step explanation: The formula for the volume of a rectangular prism is given as: Volume of a rectangular prism = (length x width x height) cubic units. So try The length, width, and height of a rectangular prism are 15 cm, 10 cm, and 5 cm, respectively.

Sauron [17]2 years ago

5 0

This comment has been deleted

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4/x-1+6/x+1=-12/x^2-1

Mademuasel [1]

$\frac{4}{x - 1} + \frac{6}{x + 1} = \frac{-12}{x^{2} - 1}$

$\frac{4(x + 1)}{(x - 1)(x + 1)} + \frac{6(x - 1)}{(x - 1)(x + 1)} = \frac{-12}{x^{2} - 1}$

$\frac{4x + 4}{x^{2} - 1} + \frac{6x - 6}{x^{2} - 1} = \frac{-12}{x^{2} - 1}$

$\frac{10x - 2}{x^{2} - 1} = \frac{-12}{x^{2} - 1}$

$(10x - 2)(x^{2} - 1) = -12(x^{2} - 1)$
$10x^{3} - 10x^{2} - 2x^{2} + 2 = -12(x^{2}) + 12(1)$
$10x^{3} - 12x^{2} + 2 = -12x^{2} + 12$
$10x^{3} - 12x^{2} + 12x^{2} + 2 = -12x^{2} + 12x^{2} + 12$
$10x^{3} + 2 - 2 = 12 - 2$
$\frac{10x^{3}}{10} = \frac{10}{10}$

$x^{3} = 1$
$x = 1$

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3 years ago

What is the quotient of 525 divided by 15

Natasha_Volkova [10]

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Step-by-step explanation:

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Mopeds (small motorcycles) are very popular in Europe because of their mobility, ease of operation, and low cost. An article2 de

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Answer:

a) $P(X$

And we can find this probability using the normal standard table:

$P(z$

b) $P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(Z>0.686)=1-P(z$

And we can find this probability using the normal standard table and the complement ruel:

$P(Z>0.686)=1-P(z$

c) $P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.009$

And in order to find these probabilities we can use the tables for the normal standard distribution, excel or a calculator.

$P(-1.009$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Assuming the following questions:

Part a: What is the probability that the maximum speed is at most 50 km/h?

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(46.8,1.75)$

Where $\mu=46.8$ and $\sigma=1.75$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table:

$P(z$

Part b: What is the probability that maximum speed is at least 48 km/h?

$P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(Z>0.686)=1-P(z$

And we can find this probability using the normal standard table and the complement ruel:

$P(Z>0.686)=1-P(z$

Part c:What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

$P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.009$

And in order to find these probabilities we can use the tables for the normal standard distribution, excel or a calculator.

$P(-1.009$

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3 years ago

Find the volume of the rectangular prism￼

Find the volume of the rectangular prism