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3 years ago

Which type of correlation is suggested by the scatter plot

Mathematics

1 answer:

kondor19780726 [428]3 years ago

4 0

First one is negative correlation, second one is no correlation. You're welcome.

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Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

2 years ago

As an estimation we are told 5 miles is 8 km.<br>Convert 52 km to miles.

11111nata11111 [884]

Answer:

83.2

Step-by-step explanation:

Given, 5 miles is 8km.

So, 1 mile will be (8/5) km.

Now, 52 miles will be (8/5) x 52= 83.2

sorry if I'm wrong plz don't report me :(

(hope this helps can i plz have brainlist :D hehe)

4 0

3 years ago

Read 2 more answers

A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples? A. x=320 B. x=302 C. x=

marta [7]

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question

3 apples were sold for $2.00

Then

10 apples will be sold for what

That's

<h2> $\frac{10 \times 2}{3} \\ = \frac{20}{3}$ </h2>

Hope this helps you

4 0

2 years ago

Carpeting costs $9.99 a yard. If Jan buys 17.4 yards, how much will it cost her? (Round your answer to the nearest hundredth)

slega [8]

Answer:

173.83

Step-by-step explanation:

17.4*9.99= 173.826

173.826 -> 173.83

8 0

3 years ago

Alan's aunt gave him $95 to spend on clothes at the mall. He bought 5 shirts that cost $6 each and a pair of pants that cost $17

Daniel [21]

Answer:

he has 48 dollars left to spend on clothes

4 0

2 years ago