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aksik [14]
3 years ago
11

Need help on #15 don't want to fail

Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0
That one is super easy i believe you can get that !!
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Naval intelligence reports that 99 enemy vessels in a fleet of 1818 are carrying nuclear weapons. If 99 vessels are randomly tar
oee [108]

Answer:

0.001687 = 0.1687% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Step-by-step explanation:

The vessels are destroyed and then not replaced, 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 18 means that N = 18

9 are carrying nuclear weapons, which means that k = 9

9 are destroyed, which means that n = 9

What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?

This is:

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

In which

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

P(X = 0) = h(0,18,9,9) = \frac{C_{9,0}*C_{9,9}}{C_{18,9}} = 0.000021

P(X = 1) = h(1,18,9,9) = \frac{C_{9,1}*C_{9,8}}{C_{18,9}} = 0.001666

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.000021 + 0.001666 = 0.001687

0.001687 = 0.1687% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

4 0
3 years ago
Please help extra points and Mark bring list
Nady [450]

answer: dividing the number by 100

100 ×100= 100000

100000÷100

100

5 0
2 years ago
the length of a rectangle is 9 cm and the diagonal of the rectangle is 11 cm. Find the width of the rectangle​
ss7ja [257]

Answer: The width  is the square root of 40 or 6.32

Step-by-step explanation:

9^2 + b^2 = 11^2  where b squared is the width  

81 + b^2 = 121

-81              -81

  b^2 = 40

b= 6.32

7 0
3 years ago
What is the area of the polygon?<br> A: 1,140 2<br> B: 1,620 2<br> C: 2,052 2<br> D: 2,220 2
PtichkaEL [24]

Answer:

B: 1620cm2

Step-by-step explanation:

16×15×2+30×20

6 0
3 years ago
Read 2 more answers
The large rectangle below represents one whole.
dolphi86 [110]

Answer: 44%

Step-by-step explanation:

There are 25 squares in the rectangle. This means that the percentage of each square is:

= 1/25 * 100

= 4%

There are 11 shaded squares so the percentage represented is:

= 11 * 4%

= 44%

8 0
2 years ago
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