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Bingel [31]
2 years ago
8

The following data are the distances between a sample of 20 retail stores and a large distribution center. The distances are in

miles.
29; 32; 36; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150

Required:
Find the variance and standard deviation.
Mathematics
1 answer:
sesenic [268]2 years ago
5 0

Answer:

Variance = 1,227.27

Standard deviation = 35.03

Step-by-step explanation:

To calculate these, we use the following formulas:

Mean = (sum of the values) / n

Variance = ((Σ(x - mean)^2) / (n - 1)

Standard deviation = Variance^0.5

Where;

n = number of values = 20

x = each value

Therefore, we have:

Sum of the values = 29 + 32 + 36 + 40 + 58 + 67 + 68 + 69 + 76 + 86 + 87 + 95 + 96 + 96 + 99 + 106 + 112 + 127 + 145 + 150 = 1,674

Mean = 1,674 / 20 = 83.70

Variance = ((29-83.70)^2 + (32-83.70)^2 + (36-83.70)^2 + (40-83.70)^2 + (58-83.70)^2 + (67-83.70)^2 + (68-83.70)^2 + (69-83.70)^2 + (76-83.70)^2 + (86-83.70)^2 + (87-83.70)^2 + (95-83.70)^2 + (96-83.70)^2 + (96-83.70)^2 + (99-83.70)^2 + (106-83.70)^2 + (112-83.70)^2 + (127-83.70)^2 + (145-83.70)^2 + (150-83.70)^2) / (20 - 1) = 23,318.20 / 19 = 1,227.27

Standard deviation = 1,227.27^0.5 = 35.03

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Find 8% of 1900.

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So 152 customers run every day.
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3 years ago
When purchasing a house you need to pay the real estate company 4.5 of the total price if the house sells for 130,000 how much m
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Answer:

$5,850

Step-by-step explanation:

4.5% = 0.045

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3 0
3 years ago
How to graph 2y-10x=20
aksik [14]
First, put it into slope/intercept form so you can see what you've got.

"Slope/intercept form" is    <em>  y = everything else</em>  .

So that means you have to take the equation you have and "solve it for 'y' ".

<u>2y - 10x = 20</u>

Add  10x  to each side:        2y = 10x + 20

Divide each side by  2 :       <em> y  =  5x  +  10</em>

There it is. 
Now that you have it in that form, you can just look at it and see that the
slope of the line on the graph is  5, and the line crosses the y-axis at 10.

And that's exactly the information you need to graph it.  On your graph,
mark a little dot on the y-axis at  10, and draw a line through that dot
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5 0
2 years ago
Brainliest, What is k ?
Ray Of Light [21]

Answer:

k=1

Step-by-step explanation:

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4 0
2 years ago
HELPPPP<br> please help me answer this question-
erik [133]

Answer:

\displaystyle   GH  =  2 \sqrt{30}

\displaystyle FH = 2 \sqrt{10}

\displaystyle m \angle G =  {30}^{ \circ}

Step-by-step explanation:

<h3>QUESTION-2:</h3>

we are given a right angle triangle

it's a 30-60-90 triangle of which FH is the shortest side

remember that,in case of 30-60-90 triangle the the longest side is twice as much as the shortest side thus

our equation is

\displaystyle 2FH=4\sqrt{10}

divide both sides by 2

\displaystyle\frac{2FH}{2}= \frac{ 4 \sqrt{10} }{2}

\displaystyle FH =2 \sqrt{10}

<h3>Question-1:</h3>

in order to figure out GH we can use Trigonometry because the given triangle is a right angle triangle

as we want to figure out GH we'll use sin function

remember that,

\displaystyle  \sin( \theta)  =  \frac{opp}{hypo}

let our opp, hypo and \theta be GH, 4√10 and 60° respectively

thus substitute:

\displaystyle  \sin(  {60}^{ \circ} )  =  \frac{GH}{4 \sqrt{10} }

recall unit circle:

\displaystyle   \frac{ \sqrt{3} }{2}   =  \frac{GH}{4 \sqrt{10} }

cross multiplication:

\displaystyle   2 GH  =  4 \sqrt{10}  \times  \sqrt{3}

simplify multiplication:

\displaystyle   2 GH  =  4 \sqrt{30}

divide both sides by 2:

\displaystyle   GH  =  2 \sqrt{30}

<h3>QUESTION-3:</h3>

Recall that, the sum of the interior angles of a triangle is 180°

therefore,

\displaystyle m \angle G +  {60}^{ \circ}  + {90}^{ \circ}  =  {180}^{ \circ}

simplify addition:

\displaystyle m \angle G +  {150}^{ \circ}  =  {180}^{ \circ}

cancel 150° from both sides

\displaystyle m \angle G =  {30}^{ \circ}

6 0
3 years ago
Read 2 more answers
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