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zzz [600]
3 years ago
10

What is 4 less than the quotient of twice a number and 3 translated to an algebraic expression?

Mathematics
1 answer:
Drupady [299]3 years ago
5 0

Answer:

(2x/3) - 4

Step-by-step explanation:

"twice a number" ---> 2x

"quotient of twice a number and 3" ---> 2x/3

"4 less than" -->  (2x/3) - 4

Could also be written as (2/3)x - 4

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A film distribution manager calculates that 4% of the films released are flops. If the manager is correct, what is the probabili
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Answer:

9.34%

Step-by-step explanation:

p = 4%, or 0.04

n = Sample size = 667

u = Expected value = n * p = 667 * 0.04 = 26.68

SD = Standard deviation = \sqrt{np(1-p)}  =\sqrt{667*0.04*(1-0.04)} = 5.06

Now, the question is if the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%?

This statement implies that the p-vlaue of Z when X = 5% * 667 = 33.35

Since,

Z = (X - u) / SD

We have;

Z = (33.35 - 26.68) / 5.06

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From the Z-table, the p-value of 1.32 is 0.9066

1 - 0.9066 = 0.0934, or 9.34%

Therefore, the probability that the proportion of flops in a sample of 667 released films would be greater than 5% is 9.34%.

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Jordan is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and
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