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Pavel [41]
2 years ago
7

Superman needs to save Lois from the clutches of Lex Luthor. After flying for 11 seconds, he is 2160 meters from her. Then at 19

seconds he is 1840 meters from her Write an equation to model this situation (use m for meters and s for seconds).
Mathematics
1 answer:
Sever21 [200]2 years ago
3 0

Answer:

y = -40x+2600

Step-by-step explanation:

Writing the values as coordinate (m, s)

If after flying for 11 seconds, he is 2160 meters from her, the required coordinate is (11, 2160)

Then at 19 seconds he is 1840 meters, the required coordinate is (19, 1840)

Get the slope;

m = 2160-1840/11-19

m = 320/-8

m = -40

Substitute m = -40 and (11, 2160) into the equations;

y-y0 = m(x-x0)

y -2160 = -40(x-11)

y - 2160 = -40x+440

y = -40x+440 + 2160

y = -40x+2600

Hence the requires equation is y = -40x+2600

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Robert is a high school basketball player. In a particular game, he made some three point shots and some free throws (worth one
Oksanka [162]

Answer:

let t = number of three-point shots

let f = number of free throw shots

Step-by-step explanation:

t + f = 9      (he made a total of 9 shots altogether)

3t + 1f = 23   (number of shots multiplied by their point value)

substitution method:   t = 9 - f

                                    3(9 - f) + f = 23

                                     27 - 3f + f = 23

                                      -2f = -4

                                         f = 2

find 't':                               t + 2 = 9

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8 0
3 years ago
An Internet reaction time test asks subjects to click their mouse button as soon as a light flashes on the screen. The light is
Ganezh [65]

Answer:

(a) 0.20

(b) 31%

(c) 2.52 seconds

Step-by-step explanation:

The random variable <em>Y</em> models the amount of time the subject has to wait for the light to flash.

The density curve represents that of an Uniform distribution with parameters <em>a</em> = 1 and <em>b</em> = 5.

So, Y\sim Unif(1,5)

(a)

The area under the density curve is always 1.

The length is 5 units.

Compute the height as follows:

\text{Area under the density curve}=\text{length}\times \text{height}

                                          1=5\times\text{height}\\\\\text{height}=\frac{1}{5}\\\\\text{height}=0.20

Thus, the height of the density curve is 0.20.

(b)

Compute the value of P (Y > 3.75) as follows:

P(Y>3.75)=\int\limits^{5}_{3.75} {\frac{1}{b-a}} \, dy \\\\=\int\limits^{5}_{3.75} {\frac{1}{5-1}} \, dy\\\\=\frac{1}{4}\times [y]^{5}_{3.75}\\\\=\frac{5-3.75}{4}\\\\=0.3125\\\\\approx 0.31

Thus, the light will flash more than 3.75 seconds after the subject clicks "Start" 31% of the times.

(c)

Compute the 38th percentile as follows:

P(Y

Thus, the 38th percentile is 2.52 seconds.

4 0
3 years ago
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