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3 years ago

Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):

1 answer:

5 0

Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.

To find the mean of the data set shown here, let's begin by adding the numbers.

11 + 10 + 12 + 14 + 5 + 15 + 7 + 6 = 80

80 will now be divided by how many numbers are in the set which is 8.

80 ÷ 8 = 10

This means that the mean of the data set is 10.

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Now, let's find the median of the data set. The median is the middle number in the data set when the data set is written from least to greatest.

Least to greatest ⇒ 5, 6, 7, 10, 11, 12, 14, 15

Since there are two numbers in the middle of the data set, we need to add the two numbers that are in the middle and divide the sum of the numbers by 2 since there are two numbers.

The two numbers in the middle are 10 and 11.

10 + 11 = 21

21 ÷ 2 = 11.5

Therefore, 11.5 the median of the data set.

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The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A

Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

$V = a \times b \times c \: \rm unit^3$

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

$60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12$

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

$15 \times 3 \times b \times 3 \times c = 135 \times b\times c = 135 \times 12 = 1620 \: \rm cm^3$

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

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