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Tom [10]
3 years ago
8

A box in the shape of a rectangular prism has a length of x inches, a width of 0.5x inches and a height of 2x inches. The volume

of the box is 1,000 cubic inches. What is the height of the box?
Mathematics
1 answer:
telo118 [61]3 years ago
6 0

Answer:

The answer should be 44.72 inches.

Step-by-step explanation:

In order to find the height when given the volume, use the formula V=Ah

The area can be found by multiplying the length and the width. (x)(.5x) = .5x^2

Now, 1,000= .5x^2(h).

Take the volume and divide it by .5. This gives you 2,000.

Now the equation is 2,000=x^2 (h)

Take the square root of 2,000 and this gives you the answer of 44.72 inches.

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A students' choir contains 25 children and only 5 of them play the piano. If a child is selected at random, what is the probabil
solniwko [45]

Answer:

probability that the child DOES NOT play the piano

P(E^{-})  =\frac{4}{5}

Step-by-step explanation:

A students' choir contains 25 children

n(S) =25

The number of students play the piano =5

Let 'E' be the event of the child play the piano so n(E) =5

The probability of that the child play the piano

 P(E) = \frac{n(E)}{n(S)}

 P(E) = \frac{5}{25}= \frac{1}{5}

Let 'E⁻ be the event of the child play does not play the piano

P(E^{-}) = 1- P(E)

P(E^{-}) = 1- \frac{1}{5} =\frac{4}{5}

<u>Conclusion</u>:-

probability that the child DOES NOT play the piano

P(E^{-})  =\frac{4}{5}

5 0
3 years ago
What are prime factors.
Vilka [71]

Answer:

a prime number that divides exactly into another given number

Step-by-step explanation:

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Bas_tet [7]

Answer:

a) μ =35.858KN

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Stat - Basic statistics- Display descriptive statistics-variable (C5) -statistics(median) - ok

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What is the slope of the line that goes through the points (1, -5) and (4, 1)
tangare [24]

Answer:

D) 2

Step-by-step explanation:

Use the following slope formula:

<em>m </em>(slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

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Plug in the corresponding numbers to the corresponding variables:

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<em>m</em> = (-5 - 1)/(1 - 4)

<em>m</em> = (-6)/(-3)

<em>m</em> = 2

D) 2 is your answer.

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7 0
4 years ago
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If we  have three distinct points in 3-space then there is a plane that contains these three points.

The third statement holds true for three points R,S and T.

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