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castortr0y [4]
2 years ago
14

Triangle EFG is proportional to triangle EHI. The length of side EF is 5 in., the length of side FH is 3 in., and the length of

side HL is 10 in.
What is the area of triangle EFG?

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
5 0

Answer:

I don't see the file with it

Step-by-step explanation:

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Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete
icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes 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 successes.

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)!}

In this question:

Fleet of 17 means that N = 17

4 are carrying nucleas weapons, which means that k = 4

9 are destroyed, which means that n = 9

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

P(X > 1) = 1 - P(X \leq 1)

In which

P(X \leq 1) = P(X = 0) + P(X = 1)

So

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

P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294

P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0
3 years ago
Please help me here
Natasha2012 [34]

Answer:

C

Step-by-step explanation:

C because you multiply the nimbers and then divid.

3 0
3 years ago
Casey started a puzzle yesterday and completed 63 of the pieces. Today, he is
liq [111]

Answer:

4 pieces a minute

Step-by-step explanation:

115 minus 63 equals 52. 52 is what they did in 13 minutes so 52 divided by1 3 is 4 so 4.

7 0
3 years ago
Which statement best describes the polynomial?
amid [387]

Answer:-12x^{2}-9x-4584671418

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
GIVING BRAINIEST IF CORRECT!!<br> Find the area of the shaded region.
Andreyy89
Area of Shaded triangle as a whole: 136cm^2
Area of Rectangle 1 : 20cm^2
Area of Rectangle 2 : 6cm ^ 2

Area of the shaded region :
136 - (20+6)
136 - (26)
110 cm^2

8 0
2 years ago
Read 2 more answers
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