Mathematics, 04.10.2019 23:30 queenliz855

The employees of two companies were asked how many times they checked their email during weekends. the table below shows the numbers for each company

the interquartile range for company a employees is 2 more than the interquartile range for company b employees.
the interquartile range for company a employees is 0.5 more than the interquartile range for company b employees.
the interquartile range for company a employees is 1 more than the interquartile range for company b employees.
the interquartile range for company a employees is 2.5 more than the interquartile range for company b employees.

company a 2 4 8 8 2 6 4 3
company b 2 6 3 5 2 4 3 2

Answers: 2

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Answer from: paaoolav

"The interquartile range for Company A employees is 2 more than the interquartile range for Company B employees."

Step-by-step explanation:

Formula for Interquartile Range is IQR=Q_3-Q_1

Where

IQR is the interquartile range Q_3

is the third quartile (since there are 8 numbers, Q_3=(0.75)(8)=6

th number) Q_1

is the first quartile (since there are 8 numbers, Q_1=(0.25)(8)=2

nd number)

Arranging both company's data in ascending order:

Company A: 2, 2, 3, 4, 4, 6, 8, 8

Company B: 2, 2, 2, 3, 3, 4, 5, 6

Third quartile of Company A is 6 (6th number)

First quartile of Company A is 2 (2nd number)

IQR for company A is = 6 - 2 = 4

Third quartile of Company B is 4 (6th number)

First quartile of Company B is 2 (2nd number)

IQR for company B is = 4 - 2 = 2

We clearly see that IQR of company A is 2 more than IQR of company B. Hence, first answer choice is right.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is