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Simora [160]
3 years ago
6

Given the line of the best fit for a set of data points with equation y=-5x-2.5 what is the residual for the point (3,6)

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

The residual of the point (3,6) in the equation y=-5(x)-2.5 is = 23.5

Step-by-step explanation:

We have been given point (3,6) where x=3.

Now the equation is y=-5(x)-2.5.

Plugging the value of x=3 in the equation of y=-5(x)-2.5,

we have to find the predicted value of y and y=-5(3)-2.5 =-15-2.5=-17.5.

So y predicted =-17.5.

To find the residual point we have to subtract the actual value from the predicted value.

As actual value of y=6 along with the points (3,6).

Residual point = Actual value - Predicted value.

                        =6 -(-17.5) =23.5

So the residual for the point (3,6) is 23.5.

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attashe74 [19]

The image is missing, so i have attached it.

Answer:

x = 56.44°

Step-by-step explanation:

From the attached image, we can see that this is a right angle triangle which has opposite, adjacent and hypotenuse as sides. Since we want to find the angle x, thus, we can make use of trigonometric ratios.

From the attached image, the side opposite to angle x is 10ft and the hypotenuse is 12 ft.

From trigonometric ratios, we know that, sin x = opposite/hypotenuse

So, sin x = 10/12

x = sin^(-1) (10/12)

x = sin^(-1) 0.8333

x = 56.44°

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3 years ago
What is the correct value of z?<br> A. Z=12<br> B. Z=13<br> C. Z=10<br> D. Z=11
inna [77]
<h3>Answer:  A) z = 12</h3>

==========================================

Work Shown:

RS = RT

2z-15 = 9

2z = 9+15

2z = 24

z = 24/2

z = 12

The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.

In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.

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ANSWER ASAP PLS Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in th
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Answer:

4.

Step-by-step explanation:

Since Eve has already knitted nine scarves we just need to add of few more. Our equation is this: 9 + _ + _ = ?

If you do 9 + 4 + 4, you get 17. Therefor, Eve must knit four scarves per day to meet her goal.

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Answer:

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Step-by-step explanation:

The line is parallel to the line whose equation is;

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Slope = change in y ÷ change in x

Taking another point (x,y) on the line,

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y - 1 = 4x - 20

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Step-by-step explanation:

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