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galben [10]
3 years ago
6

Suppose you draw 8 cards out of a well-shuffled deck of 52 cards, and one-by-one with re-placement, consider X as the number of

spades that you obtain. Which is the distribution of X?
Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

It is a Binomial experiment with n = 8 and p = 0.25

Step-by-step explanation:

It is given that we draw 8 cards out of the well shuffled deck of 52 cards one by one replacement.

Given :

$n=8$

P (getting a spade) = $\frac{13}{52}$

                               = 0.25

As in the question, we are sampling with the replacement, so the probability of getting a spade in each draw remains the same and the all the draws are independent.

Therefore it is a Binomial experiment with n = 8 and P = 0.25

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Which statement is true about the angles?
liq [111]

Complete Question:

Triangle abc has the angle mesausres shown.

m<A = (2x)°

m<B = (5x)°

m<C = (11x)°

Which statement is true about the angles?

A. m<A = 20°

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C. m<A and m<B are complementary

D. m<A + m<C = 120°

Answer:

A. m<A = 20°

Step-by-step explanation:

m<A + m<B + m<C = 180° (sum of interior angles of a triangle)

2x + 5x + 11x = 180 (substitution)

Solve for x. Add like terms.

18x = 180

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\frac{18x}{18} = \frac{180}{18}

x = 10

Find the measure of each angle by substituting x = 10:

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m<B = (5x)° = 5(10) = 50°

m<C = (11x)° = 11(10) = 110°

Therefore, the only true statement is:

A. m<A = 20°

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2 years ago
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Answer:

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Step-by-step explanation:

Let's set this up to see if we can simplify it a bit:

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(\frac{10}{5})^3

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