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morpeh [17]
2 years ago
12

Please put your FULL explanation and make sure it's correct, PLEASE.

Mathematics
1 answer:
kenny6666 [7]2 years ago
6 0
3 to the 2nd power is C. 9

3 x 3 = 9
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When the town of Manning first started its voluntary recycling program, 2500 of the town's residence participated. The town pred
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Answer: The correct answer is Choice D.

This is an example of an exponential equation. They are in the form of y=ab^x, where a is the starting value, b is the rate and x is the number of years.

Our data starts at 2500 and increases by 5%, or 100% + 5% = 1.05.

If you put them together, you have the equation y = 2500(1.05)^x, Choice D.
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2 years ago
A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each que
Assoli18 [71]

Answer:

Q1) The student has a 0.01% probability of passing the test.

Q2) She has a 99.91% probability of passing in the test.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he gets it correct, or he gets it wrong. So we solve this problem using the binomial probability distribution.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

For this problem, we have that:

Question 1.

There are 50 questions, so n = 50.

The student is going to guess each question, so he has a \pi = \frac{1}{4} = 0.25 probability of getting it right.

He needs to get at least 25 question right.

So we need to find P(X \geq 25).

Using a binomial probability calculator, with n = 50 and \pi = 0.25 we get that P(X \geq 25) = 0.0001.

This means that the student has a 0.01% probability of passing the test.

Question 2.

Now, we need to find P(X \geq 25) with \pi = 0.70. So P(X \geq 25) = 0.9991

She has a 99.91% probability of passing in the test.

7 0
3 years ago
Read 2 more answers
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