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2 years ago

Please help me

Mathematics

1 answer:

Alexeev081 [22]2 years ago

4 0

Answer:

C. 11.60 ounces to 12.60 ounces

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 12.10, standard deviation 0.25.

In which range will the amount of water dispensed be found 95% of the time?

By the Empirical Rule, within 2 standard deviations of the mean. So

12.10 - 2*0.25 = 12.10 - 0.5 = 11.60

12.10 + 2*0.25 = 12.10 + 0.5 = 12.6

So the correct answer is given by option C.

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Step-by-step explanation:

14 juniors and 16 seniors = 30 people

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30.29.28.27.26 = 17,100,720

b) How many ways are there to arrange 5 members of the club in a line if there must be a senior at the beginning of the line and at the end of the line?

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Not ordered arrangement. And means that we need to multiply the results.

C₁₄,₂ * C₁₆,₂

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12! 2! 2

C₁₆,₂ = 16.15.14! = 16.15 = 120

14! 2! 2

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d) If the club sends either 4 juniors or 4 seniors, how many possible groupings are there?

Or means that we need to sum the results.

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C₁₄,₄ = 14.13.12.11.10! = 14.13.12.11 = 1001

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12! 4! 4.3.2.1

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3 years ago

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3 years ago

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tiny-mole [99]

Answer:

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Step-by-step explanation:

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Is given by the following function:

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Inverse function:

We exchange the values of y = f(x) and x in the original function, and then find y. So

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Meaning of g:

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