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kherson [118]
3 years ago
12

one third of the Juniors in the Linwood high school marching band play the trumpet the band has 50 members and the table shows w

hat percent of the band members are freshman sophomores Juniors and seniors how many Juniors play the trumpet​
Mathematics
2 answers:
Ahat [919]3 years ago
7 0

Answer:

4 Juniors play the trumpet

Step-by-step explanation:

Given the following information:

percent of the band members that are Juniors: 24%

In 50 members of the band, 50*24/100 = 12 are Juniors. One third of them play the trumpet, that makes 12*(1/3) = 4 members.

baherus [9]3 years ago
5 0

Answer:

12

Step-by-step explanation:

You must first divide 50 by 100 to get what 1% of 50 would be (0.5). You can then take 0.5 and multiply it by 24 and you will get 12.

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According to a survey, 78% of residents in Summerville own a home. If 30 residents
rosijanka [135]

Answer:

0.1732 = 17.32% probability exactly 24 residents own a home.

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. 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.

78% of residents in Summerville own a home.

This means that p = 0.78

30 residents are randomly selected:

This means that n = 30

Find the probability exactly 24 residents own a home.

This is P(X = 24).

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

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