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3 years ago

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Write the sum of the numbers as the product of their GCF and another sum 56+64

1 answer:

olga2289 [7]3 years ago

7 0

This is a question about finding the GCF or the greatest common factor for these two numbers. The real question there is what is the largest number that both 56 and 64 can be divided by and still give out integers (meaning, whole regular counting numbers). This number turns out to be 8. 56/8 = 7. 64/8 = 8. The GCF gets pulled to the outside of the parenthesis and the divided numbers remain on the inside being added together. It looks like this, 8(7+8).

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The random variable K has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of

sdas [7]

Answer: d. 15.49

Step-by-step explanation:

Given : The random variable K has a geometric distribution with mean 16.

Formula for Mean and standard deviation in geometric distribution:

$\mu=\dfrac{1}{p}$ (1)

$\sigma=\dfrac{\sqrt{1-p}}{p}$ (2), where p is the probability of success in each trial.

Since $\mu=16$ (Given)

Then from (1) ,

$\dfrac{1}{p}=16\\\Rightarrow\ p=\dfrac{1}{16}=0.0625$

Put value of p in (2),

$\sigma=\dfrac{\sqrt{1-0.0625}}{0.0625}=\dfrac{\sqrt{0.9375}}{0.0625}$

$=\dfrac{0.968245836552}{0.0625}$

$=15.4919333848\approx15.49$

Hence, the standard deviation of random variable K is closest to 15.49.

Therefore , the correct answer is d. 15.49 .

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Anastasy [175]

Answer:

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Step-by-step explanation:

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+5 on both sides

x=0

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