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Xelga [282]
3 years ago
10

Find the solution to the system of equations.

Mathematics
1 answer:
Feliz [49]3 years ago
8 0
Solution to the system of equation (-2,5)
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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
Someone help me with this math
Makovka662 [10]

dont know wish i could help you :(  sorry i hate when i can't answer a question it makes me feel bad

5 0
3 years ago
Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The
faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs = 400x+1600

Sales revenue = no of units sold * price = x(700-5x) = 700x-5x^2

Profit funciton = P(x) = Sales revenue - Total cost

= 700x-5x^2-400x-1600\\=300x-5x^2-1600

To get maximum profit we use derivative test I derivative =0 and II derivative =negative

P'(x) = 300-10x\\p"(x) = -10

Producing 30 units will maximize the profit.

Max profit

=P(30) = 2900

8 0
3 years ago
Sally makes 7 out of every 10 shots she takes during practice. If this pattern were to continue, how many would she make during
Levart [38]

Answer:

21

Step-by-step explanation:

  • 7 for first 10 shots
  • 7 for another 10 shots
  • 7 for last 10 shots
4 0
3 years ago
Read 2 more answers
Mr.Hawkins is covering a wall with wallpaper. The rectangular wall measure 14 feet by 12 feet. each square foot of wallpaper cos
yan [13]

Answer:

$57.93

Step-by-step explanation:

14 x 12 = 168

168/2.9

6 0
2 years ago
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