-4x + 3(2x - 5) = 31 (use distributive property to remove parentheses)
-4x + 6x - 15 = 31 (combine like terms)
2x - 15 = 31 (add 15 to both sides)
+15 +15
2x = 46 (divide both sides by 2)
x = 23

3 0

3 years ago

The first quartile of a data set is 72, and the third quartile is 92. Which of these values in the data set is an outlier ?

konstantin123 [22]

Answer: Option D

D. 41

Step-by-step explanation:

A value $x_i$ is considered an outlier if

$x_i> Q_3 + 1.5IQR$

$x_i$

Where

$Q_3$ is the third quartile

$Q_1$ is the first quartile

IQR is the interquartile range.

$IQR = Q_3-Q_1$

In this case:

$Q_3=92\\Q_1=72$

$IQR = 92-72 =20$

$Q_3 + 1.5IQR = 92 + 1.5*20 = 122$

$Q_1 - 1.5IQR=72-1.5*20=42$

Then the outlier values will be all those greater than 122 or less than 42

Therefore the answer is the option D.

8 0

3 years ago

Barry Allen's older brother is only 3 years more than triple Barry's age. If the sum of their ages is 28, find their ages

Sloan [31]

B and a
barry=b
a=older bro

a is 3 more than 3b
a=3+3b
sum is 28
a+b=28
3+3b+b=28
3+4b=28
minus 3 both sides
4b=25
divide both sides by 4
b=6.25

a=3+3b
a=3+3(6.25)
a=3+18.75
a=21.75

barry=6.25 years
21.75 years=older bro

3 0

3 years ago

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