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Law Incorporation [45]
3 years ago
9

Evaluate 4!. 4 12 24

Mathematics
2 answers:
Luda [366]3 years ago
6 0

The correct answer is 24

jenyasd209 [6]3 years ago
3 0
4! means the following:
4!=4\times3\times2\times1=24
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on monday delias family drives 45 1/3 miles each hour.if they travel for 9 hours how many miles do they travel altogether?
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The answer is 408 miles
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What is p+1 +8 = 8p+16
padilas [110]

Answer:

Step-by-step explanation:

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In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 g
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Answer:

3.52 \times 10^{-9} = 3.52 \times 10^{-7}\% probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

All girls from the first group:

20 students, so N = 20

10 girls, so k = 10

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163

All girls from the second group:

20 students, so N = 20

5 girls, so k = 5

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006

All girls from the third group:

20 students, so N = 20

8 girls, so k = 8

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}

3.52 \times 10^{-9} = 3.52 \times 10^{-7}\% probability that all the 15 students selected are girls

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3 years ago
It will cost $ 8.94 for the ingredients to make one cake of 16 pieces. what is the unit cost of each piece of cake?
Arlecino [84]
Each piece of cake costs $.56 ($.55875)
I divided 8.94 by 16 to find how much one piece costs.
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