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3 years ago

When the following expression is written in simplest form, what is the coefficient of the variable term? -2.5y + 8y - 10.5y

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

7 0

Answer:

Option 1 is correct.

-5

Step-by-step explanation:

Given:

The given expression is.

$=-2.5y+8y-10.5y$

Write the given expression in simplest form.

$=-2.5y+8y-10.5y$

Add negative term of y.

$=-13y+8y$

$=-5y$

The simplest form of given expression is $=-5y$

Therefore, the coefficient of the variable term is -5

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Answer:

Option c) The data sets will have the same values of their interquartile range.

Explanation:

1. The values are in order: they are in increasing oder, from lowest to highest value.

2. Calculate the interquartile range.

Interquartile range, IQR, is the third quartile, Q3, less the first quartile Q1:

IQR = Q3 - Q1

To find the first and the third quartile, first find the median:

Data Set 1: 19, 25, 35, 38, 41, 49, 50, 52, 59

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↑

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Data Set 2: 19, 25, 35, 38, 41, 49, 50, 52, 99

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↑

median = 41

Now find the median of each subset: the values below the median and the values above the median.

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↑

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↑

Q3 = [50 + 52] / 2 = 51

IQR = Q3 - Q1 = 51 - 30 = 21

Data set 2: First quartile

[19, 25, 35, 38]

↑

Q1 = [25 + 35] / 2= 30

Third quartile

[49, 50, 52, 99]

↑

Q3 = [52 + 50]/2 = 51

IQR = 51 - 30 = 21

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