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prohojiy [21]
3 years ago
13

Help me please

Mathematics
1 answer:
Goshia [24]3 years ago
6 0
Midpoint is (-2 , -0.5)
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Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in p
yuradex [85]

Answer:

Step-by-step explanation:

Hello!

Given the variables

X₁: Weight of a safety helmet for racers

X₂: Price of a safety helmet for racers

Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.

a) Scatterplot in attachment.

b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.

c) The estimated regression equation is ^Yi= a + bXi

n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536

Y[bar]= 380.35; X[bar]= 59.29

b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18

a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77

The estimated regression equation for the price of the helmets as a function of their weight is:

^Yi= 2169.77 -30.18Xi

I hope it helps!

8 0
3 years ago
Solve for the height (h) of this triangular prism if the volume is 1080. The
dexar [7]

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

4 0
3 years ago
Are these answers right?
Alla [95]

Answer:

Yes, good job! :)

4 0
3 years ago
The Chocolate Shoppe has a rectangular logo for their business that
tigry1 [53]

The equation that calculates the unknown side length, M of the Chocolate Shoppe rectangular logo is A = 3.1H

<h3>How to determine the equation?</h3>

The parameters in the question are:

  • Logo: Rectangle
  • Height, H = 3 1/10 feet

Represent the area of the logo with A, and L represents the unknown side

The area (A) of the rectangle is calculated using:

A = H * L

Substitute 3 1/10 for H

A = 3 1/10 * H

Express the fraction as decimal

A = 3.1H

Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 3.1H

Read more about areas at:

brainly.com/question/24487155

3 0
2 years ago
I need help please and thank you
d1i1m1o1n [39]

Answer:

8.08

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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