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Minchanka [31]
3 years ago
6

STruggling. pls help

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0
The answer is 6! Hope this helps
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A full moon occurs about every 30 days . If the last full moon occurred on a Friday, how many days will pass before a full moon
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The answer is 30 days until it appears on a Friday again. In order to see the full moon again, we have to go through the entire cycle. So, it will be about 30 days before we would have seen another one. 
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Which phrase describes an unknown or changeable quantity?
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You haven't put the Phrases. Comment them on this and i will answer you.
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4 years ago
Which of the following systems of inequalities has point C as a solution?
Ede4ka [16]

Answer: A

Step-by-step explanation:

C lies below g(x) and f(x), so we need f(x) \leq 3x+4 and g(x) \leq -\frac{1}{2}x-5.

5 0
3 years ago
A study conducted at a certain college shows that 54% of the school's graduates move to a different state after graduating. Find
Elenna [48]

Answer:

99.56% probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they move to a different state, or they do not. The probability of a graduate moving to a different state is independent of other graduates. 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.

54% of the school's graduates move to a different state after graduating.

This means that p = 0.54

7 randomly selected graduates

This means that n = 7

Find the probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

Either none moves, or at least one does. The sum of the probabilities of these events is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{7,0}.(0.54)^{0}.(0.46)^{7} = 0.0044

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0044 = 0.9956

99.56% probability that among 7 randomly selected graduates, at least one moves to a different state after graduating.

7 0
4 years ago
In 5 years, a bank account with a 4.5% annual interest rate earned $3,375 as simple interest. What was the principal amount of t
belka [17]

Answer:

$375.00

Step-by-step explanation:


8 0
4 years ago
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