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puteri [66]
3 years ago
13

What is the volume of a rectangular prism when the measures are multiplied by 4?

Mathematics
2 answers:
Paul [167]3 years ago
8 0

Answer:

A. 3072 cm is the answer

koban [17]3 years ago
6 0

Answer: A. 3072 cm³

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × width × height

Looking at the diagram,

Length = 6 cm

Width = 4 cm

Height = 2 cm

When the measures are multiplied by 4, then

Length = 6 × 4 = 24 cm

Width = 4 × 4 = 16 cm

Height = 2 × 4 = 8 cm

Therefore,

Volume = 24 × 16 × 8 = 3072 cm³

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mojhsa [17]

Answer:

cost of each video game = $5.50

cost of each movie = $4.25.

Step-by-step explanation:

Let m represent cost per movie

g represents cost per video game.

Create two equations to represent the total cost Tammy rented movie and video games in each month, and solve simultaneously for each variable:

First month:

2m + 3g = 25 => equation 1

Second month:

4m + 8g = 61 => equation 2

Multiply equation 1 by 4, and multiply equation 2 by 2 to derive:

4 × 2m + 3g = 25

2 × 4m + 8g = 61

8m + 12g = 100 => equation 3

8m + 16g = 122 => equation 4

Subtract equation 4 from equation 3

You'd have:

- 4g = - 22

Divide both sides by -4

g = 5.5

Thus, the cost of each video game = $5.50.

Substitute g = 5.5 in equation 1 and solve for m.

2m + 3g = 25

2m + 3(5.5) = 25

2m + 16.5 = 25

Subtract 16.5 from each side

2m = 25 - 16.5

2m = 8.5

Divide both sides by 2

m = 4.25

Thus, cost of each movie = $4.25.

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A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri
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Answer:

The data item is X = 580

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that \mu = 400, \sigma = 60

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We have to find X when Z = 3. So

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X - 400 = 3*60

X = 580

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3 years ago
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