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horrorfan [7]
3 years ago
15

lea invests 3,466 in a savings account with a fixed annual interest rate of 7% compound continuously what will the account balan

ce be after 10 years ?
Mathematics
1 answer:
arlik [135]3 years ago
5 0
The account balance after 10 years will be 5,892.2
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2.1/1.488 <br> Divide. Round to the tenths place
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Answer:

1.4

Step-by-step explanation:

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A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
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Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

In this question:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

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2 years ago
The scores on a standardized test are normally distributed with the mean of 750 and standard deviation 70. Find the probability
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Hey the answer is C.47.7 
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Answer:

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Step-by-step explanation:

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A bag contains 6 red and 10 black marbles. If you pick a marble from the bag, what is the probability that the marble will not b
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Answer:

you add 6 and ten to get 16. Since there are only 6 red, you do 6/16 = 0.375

So the answer is 37.5%

Step-by-step explanation:

3 0
3 years ago
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