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3 years ago

13

Keri has two pencils. Her yellow pencil measures 1/4 of a foot, and her green pencil measures 2/3 of a foot. How much shorter is

Keri's yellow pencil than her green pencil?

1 answer:

Alenkinab [10]3 years ago

5 0

Answer:

$\frac{5}{12}$

Step-by-step explanation:

$\frac{2}{3} - \frac{1}{4}$

Common Denominator:

$\frac{8}{12} - \frac{3}{12}$

Subtract the numerator, the denominator stays the same.

$\frac{5}{12}$

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3 years ago

If x is a positive integer for how many different values of x is 48/X whole number

Dimas [21]

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4 years ago

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Jef put a small box that is 12 inches long, 8 inches wide, and 4 inches tall inside a box that is 20 inches long,15 inches wide,

alexira [117]

The answer can be found by subtract the volume of the small box from the volume of big box.

Volume of the small box:
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3 years ago

what is the equation of the line shown below? Give your answer in slope-intercept form. (5,4) (-4,-5)

Lynna [10]

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Step-by-step explanation:

6 0

4 years ago

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Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.

dolphi86 [110]

Part A

Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

n = 5 = sample size

x = 2 = number of purple we want to get

$P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}\\\\P(2) = \frac{5!}{2!(5-2)!}*0.54^2*(1-0.54)^{5-2}\\\\P(2) = 10*0.54^2*0.46^3\\\\P(2) = 0.283831776\\\\$

The $\frac{n!}{x!(n-x)!}$ portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

============================================================

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

n*p = 5*0.54 = 2.7

<h3>Answer: 2.7</h3>

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2 years ago