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3 years ago

The distance between the points (3,0) and (3,-8) is

Mathematics

1 answer:

Anni [7]3 years ago

8 0

Answer:

d=8

Step-by-step explanation:

d= $\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\ }$

d= $\sqrt{(3-3)^{2}+(-8-0)^{2} }$

d= $\sqrt{0^{2}+(-8)^{2} }$

d= $\sqrt{64}$

d=8

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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

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

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

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

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

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

What is the distance bewteen -7 and 41

Gala2k [10]

To find distance, subtract the largest number from smaller

41 - (-7)

41 + 7 = 48

the distance is 48

hope this helps

3 0

3 years ago

There were 45 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 3

Helen [10]

45/3=15 45-15=30 30/5=6 3x6=18 30-18=12 the answer is 12

5 0

3 years ago

‼️HELP PLEASE‼️ANSWER WITHIN 10 minutes ‼️‼️‼️‼️

noname [10]

Answer:

Step-by-step explanation:

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You know that you will need to make the recipe 4.5 times.

So, multiply all the ingredient numbers by 4.5

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3 x 4.5 = 13.5 sticks of cinnamon

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3 0

3 years ago

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8n+12+(−9)−(−6n)<br> =<br> please help

patriot [66]

Answer:

14n+3

Step-by-step explanation:

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