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miv72 [106K]
3 years ago
15

Evaluate 6! A) 3125 B) 720 C) 120

Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0

Answer:

720

Step-by-step explanation:

6! is just 1 x 2 x 3 x 4 x 5 x 6

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The tip percentage at a restaurant has a mean value of 18% and a standard deviation of 6%.
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Answer:

a. 0.8366

b. No

Step-by-step explanation:

We will use the central limit theorem which can be applied to a random sample from any distribution as long as the mean and the variance are both finite and the sample size is large (the sample size n should be greater than 30). Here we have that the tip percentage at the restaurant has a mean value of 18% and a standard deviation of 6%, then because of the central limit theorem, we know that the sample mean tip percentage is approximately normally distributed with mean 18% and standard deviation 6/\sqrt{40}%=0.9487%.

a. The z-score related to 16% is given by (16-18)/0.9487 = -2.1081 and the z-score related to 19% is given by (19-18)/0.9487 = 1.0541. We are looking for P(16 < \bar{X} < 19) = P(-2.1081 < Z < 1.0541) = P(Z < 1.0541)- P(Z < -2.1081) = 0.8540 - 0.0175 = 0.8366

b. If the sample size had been 15 rather than 40, then, the probability requested in part (a) could not be calculated from the given information, this because the central limit theorem only applies when the sample size is large, for example n > 30.

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Answer:

In Grade 8, 17% of students liked running

Step-by-step explanation:

Although this table is incomplete, there are still enough information to answer.

First, we need to be aware that the data here is written in decimal numbers, which is another way to write percentages.

In other words, 100% equals to 1, which is to say that if we multiply decimal number with 100 we'll get the percentage:

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0.04 = 4%

Another important thing to establish is that the value of decimal number DOES NOT mean the number of people, it only suggests the ratio:

0.26 does not mean 26 people etc.

Knowing this, from this incomplete table, we see that 0.17 students from grade 8 liked running. And now we know that 0.17 equals to 17%, which makes B the correct answer.

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3 years ago
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