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bekas [8.4K]
2 years ago
7

A ball is dropped from a height of 9 m. Each time it strikes the ground it bounces vertically to a height that is 2/3 of the pre

ceding height. Find the total distance the ball will travel if it is assumed to bounce infinitely often. show all work.
Mathematics
1 answer:
vredina [299]2 years ago
6 0

Answer:

The answer i 9

Step-by-step explanation:

If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.

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Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer
aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that p = 0.7

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that n = 5

a. All five qualify for the favorable rate

This is P(X = 5). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

P(X \geq 4) = P(X = 4) + P(X = 5)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0
3 years ago
Which of the following represents "the square of the sum of a number and 4 is 36"? x2 + 42 = 36 x2 + 4 = 36 (x + 4)2 = 36
MrRa [10]
<span>"the square of the sum of a number and 4 is 36"
=
</span><span>(x + 4)^2 = 36


</span>
5 0
3 years ago
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Am I the only one whose parents yell their name and when you tell back yes mom they don’t answer?
arsen [322]
No your not the only one
6 0
3 years ago
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3.
NNADVOKAT [17]

Answer:

volume= area×height /2

( it's like a half a cuboid)

area=6sq inc

3 0
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Which figures below are similar?<br><br><br><br> 1 and 2<br> 2 and 3<br> 2 and 4<br> 1 and 4
Nana76 [90]

Answer:

I think it is 1 and 4 :))

Step-by-step explanation:

I hope so it will helpful for u

3 0
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