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3 years ago

15

Mackenzie had 2 inches of snow on her lawn. It then began to snow at a rate of 2.5 inches per hour. Which of the variables below

is the dependent variable

1 answer:

S_A_V [24]3 years ago

5 0

Answer: per hour

Step-by-step explanation:

That is dependent. It is by itself

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To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

$\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14$

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, $\dfrac14$ . In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is $\dfrac14\cdot\dfrac14=\dfrac1{16}$ .

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Step-by-step explanation:

7 x 4 = 28

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Texas University Quarterback, Michael Daniels, is standing on his own 10-yard line. He throws a pass tword the opposite goal lin

dimulka [17.4K]

Answer: The function is $y=-\frac{28}{625}(x-35)^2+30$ .

Explanation:

It is given that Michael Daniels, is standing on his own 10-yard line. He throws a pass toward the opposite goal line. The football is 2 yards above the ground when the quarterback lets it go.

It follows a parabolic path. Reaching its highest point, 30 yards above the ground. It is caught 50 yards downfield at a point 2 yards above the ground.

So, the initial point is (10,2) and the other point is (60,2).

The height function of a football represents a downward parabola. The maximum point of the function is called vertex. So the vertex is (h,30).

The two point (10,2) and (60,2) have same y-coordinate, therefore the function is maximum at the midpoint of both points.

$midpoint=(\frac{10+60}{2}, \frac{2+2}{2})=(35,2)$

So, the function is maximum at x=35. Hence the vertex is (35,30)

The standard form of the parabola is,

$y=a(x-h)^2+k$

Where (h,k) is vertex and a is scale factor.

Since vertex is (35,30).

$y=a(x-35)^2+30$

The initial point is (10,2).

$2=a(10-35)^2+30$

$-28=625a$

$a=-\frac{28}{625}$

So the function of height is.

$y=-\frac{28}{625}(x-35)^2+30$

The graph of the function is shown below.

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