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QveST [7]
3 years ago
14

You roll a six-sided die. Find the probability of each of the following scenarios

Mathematics
1 answer:
romanna [79]3 years ago
6 0

Answer:

a) 1/2

b) 5/6

c) 2/3

Step-by-step explanation:

a)

Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is (1+1+1)/6=3/6=\boxed{1/2}

b)

Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.

So, the probability is (1+1+1+1+1)/6=\boxed{5/6}

c)

Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is (1+1+1+1)/6=4/6=\boxed{2/3}

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3 years ago
A 99% confidence interval for the difference between two proportions was estimated at 0.11, 0.39. Based on this, we can conclude
sladkih [1.3K]

Answer:

\hat p_1 -\hat p_2 \pm z_{\alpha/2} SE

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Step-by-step explanation:

Let p1 and p2 the population proportions of interest and let \hat p_1 and \hat p_2 the estimators for the proportions we know that the confidence interval for the difference of proportions is given by this formula:

\hat p_1 -\hat p_2 \pm z_{\alpha/2} SE

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A tree and a building stand side by side. The 5-foot tall tree cast a shadow of 12 feet. If the building is 80 feet tall, how lo
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The shadow of the building = 192 ft.

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