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Vinvika [58]
3 years ago
10

Cars lose value the farther they are driven. A random sample of

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

y = -0.25x + 40 ; $26,000

Step-by-step explanation:

From the graph attached ;

The regression equation, y could be obtained :

y = mx + c

m = slope = Rise / Run = (y2 - y1) / (x2 - x1)

Slope = (15 - 40) / (100 - 0)

Slope = - 25 / 100

Slope = - 0.25

c = intercept, where the regression line crosses the y-axis, from. The graph, c = 40

The regression equation goes thus :

y = -0.25x + 40 ; y = price of car ; x = number of miles driven

Price of car that has been driven for 56000 miles

y = - 0.25(56) + 40

y = - 14 + 40

y = 26

Hence, price of car is $26,000

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An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.
andrezito [222]

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

3 0
3 years ago
Read 2 more answers
What is another way to write the equation 7/8x × 3/4 = -6?
____ [38]
Its option C btw i got help from my tutor with this yesterday
8 0
3 years ago
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PLEASEEE HELP ME WITH THIS!!!
andreev551 [17]

Answer:

m∠H = 10°

Step-by-step explanation:

ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.

Diagram is attached:

-Chetan K

7 0
3 years ago
Which facts could be applied to simplify this expression? Check all that apply.
Lubov Fominskaja [6]

Answer:

i think ii first add 5x + x then you can remove the parentheses, group similar terms and add similar elements

Step-by-step explanation:

3 0
3 years ago
Original: $110<br> New: $59<br> %Decrease:__________
Lemur [1.5K]

Answer:

46.36%

Step-by-step explanation:

Original: 110

New: 59

Percent Decrease: x

110 - 59 = 51

51/110 ≈ 46.3636... ≈ 46.36%

-Chetan K

3 0
2 years ago
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