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3 years ago

Rasheed is contemplating whether to buy a membership for a trampoline park, which is $50 a year. As a

Mathematics

1 answer:

docker41 [41]3 years ago

8 0

Answer: 28 hours

Step-by-step explanation:

Hi, the cost for the trampoline park without a membership is equal to the price of the jump tickets per hour (12) multiplied by the number of hours (h).

Cost without membership= 12h

With the membership the price of each jump ticket has a 15% discount ( so, 100-15 =85% of the total price ). To calculate the cost for this case we have to add the cost of the membership 50, and multiply the cost of each jump ticket (12) by 0.85 (percentage in decimal form)

Cost with membership = 50 +12 (0.85) h

If both cost are equal:

50 +12 (0.85) h = 12 h

Solving for h

50+10.2h =12h

50= 12h-10.2h

50= 1.8h

50/1.8= h

27.78 =h

h =28 (rounded)

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Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w

MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution 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.

42% of Americans voted in the previous national election.

This means that $p = 0.42$

Three Americans are randomly selected

This means that $n = 3$

What is the probability that none of them voted in the last election

This is P(X = 0).

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

$P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951$

19.51% probability that none of them voted in the last election

6 0

2 years ago

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Juliette [100K]

Answer:

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Step-by-step explanation:

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Answer:

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3 years ago

In the himalaya mountains allong the border of tibet and nepal mount everest reaches a record height of 29,035 feet. How high is

Ludmilka [50]

Answer:

Step-by-step explanation:

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2 years ago

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ivanzaharov [21]

Answer:

b. 22.2

Step-by-step explanation:

I put it as an equation.

3.2w=72

Then solved for w

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2 years ago