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Mekhanik [1.2K]
3 years ago
7

You choose two different songs on a music playlist at random. Out of 80 songs on the playlist, 36 are hip hop songs. The first s

ong you choose is a hip hop song. What is the probability that the second song is also a hip hop song?
Mathematics
1 answer:
dexar [7]3 years ago
7 0

Answer:

35/79

Step-by-step explanation:

Assuming you can't choose the same song a second time, the probability is 35/79.

If you can choose the same song, the probability is 36/80, which reduces to 9/20.

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3 years ago
a rectangular prism has a square base with a side length of 10 inches. The volume of the prism is 1,600 cubic inches. Find the s
Liula [17]

Answer:

840 in^2

Step-by-step explanation:

If the base is square and the side length is 10 inches, the areas of the base and of the top combined is 2(100 in^2).

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2 years ago
A ball moves in a straight line has an acceleration of a(t) = 2t + 5. Find the position function of the ball if its initial velo
Vlad1618 [11]

Answer:

s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is a(t) = 2t + 5

Velocity:

v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K

In which K is the constant of integration, which is the initial velocity. So K = -3 and:

v(t) = t^2 + 5t - 3

Position:

s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K

In which K, the constant of integration, is the initial position. Since it is 12:

s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12

4 0
3 years ago
I need help please?!!!
nexus9112 [7]

The y intercept is where the line passes throught the y axis, or when x=0 so therfor the line is parellel to the y axis,never crossing it.

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2 years ago
Find the area of the parallelogram.
nordsb [41]
C is the correct answer
3 0
3 years ago
Read 2 more answers
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