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3 years ago

Complete the inequality for this graph.

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

Answer:

y < x + 5

Step-by-step explanation:

To complete the inequality, we need the y-intercept

it’s the point at which the graph crosses the y-axis

the point at which that happened is y = 5

So the complete inequality is;

y < x + 5

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A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

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7 0

2 years ago

HELP ME!! SOMEBODY PLEASE HELP ME

IRISSAK [1]

6^2 = x (x - 9)
x^2 - 9x - 36 = 0
(x -12)(x + 3) = 0
x - 12 = 0; x = 12
x +3 = 0; x = -3

so in this case x = 12 then DC = 12 - 9 = 3

y^2 = 12^2 - 6^2
y^2 = 144 - 36
y^2 = 108
y = 10.4

4 0

3 years ago

A sweater that regularly sold for $52 id now on sale at 30% off. what is the sale price?

pochemuha

Since the sweater is now 30% off, that means it is selling for 70% of it's original price ( 100% - 30% = 70%).

Multiply the original price by 70%:

52 x 0.70 = 36.40

The sale price is $36.40

8 0

3 years ago

Someone please help me with this problem

iren [92.7K]

Check the picture below.

so the rectangular prism, or that box, is really just 6 rectangles stacked up to each other at the edges, notice

front and back are just two 9x5 rectangles

left and right are just two 5x4 rectangles

top and bottom are just two 9x4 rectangles

get the area of all 6, sum them up, and that's the area of the box.