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Yanka [14]
3 years ago
15

The bottom layer of a rectangular prism contains 15 unit cubes The prism is made up of 5 equal-size layers what is the volume of

the prism in cubic units
Mathematics
1 answer:
borishaifa [10]3 years ago
6 0

Answer:

75 cubic units

Step-by-step explanation:

Bottom layer of a rectangular prism is made up of 15 unit cubes.

Therefore, area of the 15 unit cubes = 15(area of the base of one unit cube)

                                                            = 15(1)²

                                                            = 15 unit²

Number of layers of unit cubes in the rectangular prism = 5

So the height of the prism = 5 units

Volume of the prism = (Area of the base) × Height

                                  = 15 × 5

                                  = 75 cubic unit

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kherson [118]

Answer:

It is the third option: (10C1) (20C1( / 50C2.

Step-by-step explanation:

The number of ways of selecting 2 marbles = the number of combination of any 2 marbles in the 50 marbles in the bag and this is 50C2. It is combinations because the order of drawing the marbles does not matter.

The number of combinations  of one being red and the other blue =  10C1 times 20C1.

So the answer is (10C1) (20C1( / 50C2.

6 0
3 years ago
Read 2 more answers
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expeople1 [14]

Answer:

-sin x

Step-by-step explanation:

sin(3π/3+x)=sin (π+x)=-sin x

or

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7 0
2 years ago
Melanies blue notebook cover is 20 centimeters by 30 centimeters. She has a sticker for each letter in her name. Each sticker is
gizmo_the_mogwai [7]
Find the surface area of her notebook.

30 + 30 + 20 + 20 = 100

Now find the surface area of the square stickers.

2 + 2 + 2 + 2 = 8

So this is the surface area of one square, now multiply it by 8.

8 * 7 = 56

This is the surface area of all the stickers, now subtract it to the surface area of the notebook:

100 - 56 = 44

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4 0
3 years ago
What is 63+54+98x83+1222-3000+9+= ?
Alex73 [517]
To solve the equation:
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=63+54+1222+9+(98×83)-3000
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The answer is 6482.

Hope it helps!
5 0
3 years ago
The diameters of ball bearings are distributed normally. The mean diameter is 123 millimeters and the standard deviation is 4 mi
Mrac [35]

Answer:

0.0668

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}

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.

In this problem, we have that:

\mu = 123, \sigma = 4

Find the probability that the diameter of a selected bearing is greater than 129 millimeters.

This is 1 subtracted by the pvalue of Z when X = 129. So

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

Z = \frac{129 - 123}{4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the diameter of a selected bearing is greater than 129 millimeters.

8 0
3 years ago
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