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serious [3.7K]
2 years ago
13

Which of the following represent the distance formula? Select all that apply.

Mathematics
1 answer:
kozerog [31]2 years ago
0 0
It is CCccccccccccccccc
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A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa
Aleksandr [31]

Answer:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =60

\sum_{i=1}^n y_i =553

\sum_{i=1}^n x^2_i =582

\sum_{i=1}^n y^2_i =39653

\sum_{i=1}^n x_i y_i =4329

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33

And the slope would be:

m=\frac{642.33}{182}=3.529

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67

\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44

And we can find the intercept using this:

b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91

So the line would be given by:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

4 0
3 years ago
Cottontail rabbits are found in California. Recently, the cottontail's predator, the coyote, has been disappearing due to human
azamat

Answer:

Step-by-step explanation:

my cat ate my dog  s

8 0
2 years ago
Draw a visual representation to show eleven hundredths
Norma-Jean [14]
Make a rectangle that is 10 squares by 10 squares and color in 11 squares.
3 0
3 years ago
the length of a rectangular yard is 4 feet more than the width. the perimeter of the yard is 208 feet. write the equation that r
ad-work [718]

Answer:

Length = 54 ft.

Width = 50 ft.

Step-by-step explanation:

Let the width of the rectangle be 'w'.

According to question ,

Length = w + 4

Perimeter = 208 ft.

We know that perimeter = 2(l + w) where l = length & w = width

So,

2(w + 4 + w) = 208

=  > 2(2w + 4) = 208

=  > 2w + 4 =  \frac{208}{2} = 104

=  > 2w = 104 - 4 = 100

=  > w =  \frac{100}{2}  = 50

Width = 50 ft.

=> Length = 50 + 4 = 54 ft.

5 0
2 years ago
What is36% of 75 show work
STALIN [3.7K]
Ok so first multiply .36 (decimal notation ) by 75.
You will get 27. That is it.
5 0
3 years ago
Read 2 more answers
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