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GREYUIT [131]
3 years ago
7

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will

watch the movie, what is the probability that there are at least 3 girls in the group that watch the movie? A. 0.018 B. 0.268 C. 0.536 D. 0.821
Mathematics
2 answers:
Eddi Din [679]3 years ago
6 0

Answer:

D. 0.821

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The combinations formula is important to solve this question:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes

The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.

At least 3 girls.

3 girls

3 girls from a set of 5 and 2 boys from a set of 3. So

C_{5,3}*C_{3,2} = 30

4 girls

4 girls from a set of 5 and 1 boy from a set of 3. So

C_{5,4}*C_{3,1} = 15

5 girls

5 girls from a set of 5

C_{5,5} = 1

D = 30+15+1 = 46

Total outcomes

5 from a set of 8. So

T = C_{8,5} = 56

Probability

P = \frac{D}{T} = \frac{46}{56} = 0.821

So the correct answer is:

D. 0.821

podryga [215]3 years ago
6 0

Answer:

I got answer choice D

Hope this helps :)

Step-by-step explanation:

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JulsSmile [24]
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Ganezh [65]

Answer:

The hypothesis test is right-tailed

Step-by-step explanation:

To identify a one tailed test, the claim in the case study tests for the either of the two options of greater or less than the mean value in the null hypothesis.

While for a two tailed test, the claim always test for both options: greater and less than the mean value.

Thus given this: H0:X=10.2, Ha:X>10.2, there is only the option of > in the alternative claim thus it is a one tailed hypothesis test and right tailed.

A test with the greater than option is right tailed while that with the less than option is left tailed.

4 0
3 years ago
Two photos were taken of a car.
LenKa [72]

Answer:

14.4 m / s

Step-by-step explanation:

=distance between the car

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=distance/time

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MatroZZZ [7]
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FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions.
FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms.

For instance, if we multiply the two expressions
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then the result is the sum of these four products:
x times x (the First terms of each expression)
x times 2 (the Outside pair of terms)
1 times x (the Inside pair of terms)
1 times 2 (the Last terms of each expression)
and so
(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2
[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment].

Now, compare this to multiplying a pair of two-digit integers:
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= 1591

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7 0
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