Find a linear inequality with the following solution set. Each grid line represents one unit.

Mathematics

1 answer:

bekas [8.4K]3 years ago

8 0

The equation of the line is y = 3x - 4, so the inequality is y <= 3x - 4.

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What is the standard deviation of this data set? Use a calculator to help you.

ale4655 [162]

Answer:

Standard deviation = 14.064

Step-by-step explanation:

We are given the following data;

X X - $Xbar$ $(X-Xbar)^{2}$

20 20 - 46 = -26 676

23 23 - 46 = - 23 529

32 32 - 46 = -14 196

36 36 - 46 = -10 100

41 41 - 46 = -5 25

43 43 - 46 = -3 9

44 44 - 46 = -2 4

45 45 - 46 = -1 1

47 47 - 46 = 1 1

54 54 - 46 = 8 64

55 55 - 46 = 9 81

59 59 - 46 = 13 169

61 61 - 46 = 15 225

63 63 - 46 = 17 289

66 66 - 46 = 20 <u> 400 </u>

$\sum(X-Xbar)^{2}$ <u>= 2769 </u>

Firstly we will calculate Mean, $Xbar$ = $\frac{\sum X}{n}$

$Xbar = \frac{20+ 23+ 32+ 36+ 41+ 43+ 44+ 45+ 47+ 54+ 55+ 59+ 61+ 63+ 66}{15}$ = 45.93 ≈ 46

Now, Standard deviation formula is given by;

s = $\sqrt{\frac{ \sum(X-Xbar)^{2}}{n-1}}$ = $\sqrt{\frac{ 2769}{15-1}}$ = 14.064 .

7 0

3 years ago

Savatey [412]

Answer: 8 hours

Step-by-step explanation: First, find the unit rate. For one hour of work, she earns 0.05263157894. Multiply this number 152.

4 0

2 years ago

Given: M(-4,-1), B(-5,-3) find the midpoint

Dmitry [639]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
M&({{ -4}}\quad ,&{{ -1}})\quad 
% (c,d)
B&({{ -5}}\quad ,&{{ -3}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ -5}}-4}{2}\quad ,\quad \cfrac{-3-1}{2} \right)$