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3 years ago

If you know how to do this please help me then will give brainliest

Mathematics

1 answer:

Sophie [7]3 years ago

7 0

Answer:

The required equation is:

$y=\mathbf{-0.271}x+\mathbf{13.876}$

Step-by-step explanation:

We have x = Distance of goal posts

y = field Goals made

The data given is:

x y

20 9

25 6

30 7

35 4

40 1

45 2

50 1

We need to find the regression equation y = bx + a

Where $b=\frac{SP}{SS_x} \:and\: a=M_y-bM_x$

Sum of all values of x = 245

Sum of all values of y = 30

Now, calculating mean using formula: $Mean=\frac{Sum\:of\:all|\:values}{Number\:of\:values}$

Mean of x (Mₓ) = 35

Mean of y ( $M_y$ ) = 4.28

Sum of squares (SSₓ) = 700

Sum of products (SP) = -190

Now, finding b:

$b=\frac{SP}{SS_x} \\b=\frac{-190}{700}\\b=-0.271$

Now, finding a:

$a=M_y-bM_x\\a=4.28-(-0.271*35)\\a=13.786$

So, the required equation is:

$y=\mathbf{-0.271}x+\mathbf{13.876}$

You might be interested in

a fruit delivers its fruit in two types of boxes: large and small. a delivery of 3 large boxes and 5 small boxes has a total wei

Masteriza [31]

Answer:

The weight of a small box = 13.5 kg

The weight of 1 large box = 18.5 kg

Step-by-step explanation:

Let us assume the weight of a small box = m kg

And the weight of 1 large box = n kg

Now, the weight of 5 small box = 5 x (weight of 1 small box) = 5 m

Also, the weight of 3 large box = 3 x (weight of 1 large box) = 3 n

Here, 3 large boxes + 5 small boxes = of 123 kilograms

⇒ 5 m + 3 n = 123 .... (1)

Again, the weight of 2 small box = 2 x (weight of 1 small box) = 2 m

Also, the weight of 12 large box = 12 x (weight of 1 large box) = 12 n

Here, 12 large boxes + 2 small boxes = 249 kilograms

⇒ 2 m+ 12 n = 249 .... (2)

Now, solving both the given equations by ELIMINATION, we get:

5 m + 3 n = 123 x (2)

2 m+ 12 n = 249 x (-5)

we get the new set of equitation as:

10 m + 6 n = 246

- 10 m - 60 n = -1245

Adding both equation, we get

-54 n = 999

or, n = 18.5

Now, 5 m + 3 n = 123

So, 5 m = 123 -3 (18.5) = 123 - 55.5 = 67.5

⇒ m = 13.5

Hence, the weight of a small box = m kg = 13.5 kg

And the weight of 1 large box = n kg = 18.5 kg

8 0

3 years ago

Which of the triangles shown are scalene triangles?

sergij07 [2.7K]

The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

<h3>What is a Scalene Triangle?</h3>

A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.

This means that any two sides or two angles of a scalene triangle must not be equal.

Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

Learn more about scalene triangle on:

brainly.com/question/16589630

3 0

2 years ago

The function g(x) =8(4x) is reflected across the x-axis to create f(x) what is the equation for f(x)

Sveta_85 [38]

Answer:f(x)= -8 (4x) will be the reflected function across x-axis for the function g(x).

Explanation: since we know that the image or reflection of x along x-axis = -x

That is, when we talk about a function's reflection across any axis then we have to replace variable according to that axis. For example if you have a line x=3 in positive x-axis then you can also draw a similar line x=-3 in negative x-axis. so, you can say, x=-3 is the reflection of x=3 along x axis.

Similarly, for an another line y=3, y=-3 is a reflection.

thus in the case of g(x) we can find the reflection across x-axis after replacing x by -x.

we have g(x) =8(4x)

replace x by -x we get g(-x)= 8(4×-x)= 8(-4x)=-8(4x)

so -8(4x) is the reflection of g(x)

but according to the question f(x) is the reflection of g(x) across x-axis.

Thus, f(x)=-8(4x)