A ball is dropped from a height of 20 feet. Each time the ball bounces it returns to 7/9 of the height it fell from. Let an repr
1 answer:
(A) The formula for nth bounce is .
(B) 4.43 feet is the maximum height of the ball on the 6th bounce.
<h3>What is an algebraic expression?</h3>An algebraic expression is consists of variables, numbers with various mathematical operations,
Given that,
The height from where the ball is dropped = 20 feet.
Also, the ball bounces and returns to 7/9 to its original height.
(A)
The representation of the maximum height of the ball on the nth bounce can be given as
(B)
The maximum height of the ball on the 6th bounce = 20 (7/9)⁶ = 4.43 feet
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Answer:
And we can find this probability with the complement rule:
Step-by-step explanation:
For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:
And for this case the probability density function is given by:
And the cumulative distribution function is given by:
And we want to find this probability:
And we can find this probability with the complement rule:
It has been proven that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
<h3>How to prove a Line Segment?</h3>We know that in a triangle if one angle is 90 degrees, then the other angles have to be acute.
Let us take a line l and from point P as shown in the attached file, that is, not on line l, draw two line segments PN and PM. Let PN be perpendicular to line l and PM is drawn at some other angle.
In ΔPNM, ∠N = 90°
∠P + ∠N + ∠M = 180° (Angle sum property of a triangle)
∠P + ∠M = 90°
Clearly, ∠M is an acute angle.
Thus; ∠M < ∠N
PN < PM (The side opposite to the smaller angle is smaller)
Similarly, by drawing different line segments from P to l, it can be proved that PN is smaller in comparison to all of them. Therefore, it can be observed that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
Read more about Line segment at; brainly.com/question/2437195
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