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adelina 88 [10]
3 years ago
6

Roy's average balance checking account pays simple interest of 4.8% annually, and he made $2.25 in interest last month. What was

Roy's average balance last month?. . A.$56.25. B.$562.50. C.$5625. D.$5.63. . @ganeshie8
Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

The first thing you do is you divide the annual interest into 12 months

4.8 % / 12

Make sure that you convert the interest

So 0.048/12

Then you get the interest last month so that is

2.25/ (0.048/12)

The answer is 562.5

B.$562.5

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A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student
Mademuasel [1]

Answer:

37.70% probability that the student will pass the test

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses it correctly, or he does not. The probability of a student guessing a question correctly is independent of other questions. 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.

10 true/false questions.

10 questions, so n = 10

True/false questions, 2 options, one of which is correct. So p = \frac{1}{2} = 0.5

If a student guesses on each question, what is the probability that the student will pass the test?

P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

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

P(X = 6) = C_{10,6}.(0.5)^{6}.(0.5)^{4} = 0.2051

P(X = 7) = C_{10,7}.(0.5)^{7}.(0.5)^{3} = 0.1172

P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0439

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.0010

P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2051 + 0.1172 + 0.0439 + 0.0098 + 0.0010 = 0.3770

37.70% probability that the student will pass the test

8 0
3 years ago
What is the answer for this problem?
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Answer:

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a photograph is 5.5 in. long and 3.2 in. wide. it must be enlarged so that both dimensions are 1.8 times greater. how long will
Artist 52 [7]
Hope it helps :) sorry if the answer is wrong

8 0
2 years ago
Using the greatest common factor for the terms, how can you write 12 + 90 as a product?
GREYUIT [131]
12 + 90

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6 0
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Answer:

(D)$81

Step-by-step explanation:

Given that the number of purses a vendor sells daily has the probability distribution represented in the table.

Expected Value, E(x)=\sum_{i=1}^{n}x\cdot p(x)

Therefore:

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If each purse sells for $50.00, the number of expected daily total dollar amount taken in by the vendor from the sale of purses

=Expected Value X $50

=1.62 X $50

=$81

The correct option is D.

6 0
3 years ago
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