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3 years ago

Apr 17, 1:42:09 AM

Mathematics

1 answer:

SVEN [57.7K]3 years ago

3 0

Answer:

(-1, 5)

Step-by-step explanation:

3 [x + y = 4]

3x + 3y = 12

- 3x + 7y = 32

-4y = -20

y = 5

x + 5 = 4

x = -1

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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

Mrs. Palmer asks her students to find the area of the tops of their desks.

xxTIMURxx [149]

Answer:

12 square feet

Step-by-step explanation:

The shape of the top of the desk is a trapezoid.

A = (b1 + b2)h/2

A = (5 ft + 3 ft)(3 ft)/2

A = (8 ft)(3 ft)/2

A = 24 ft^2/2

A = 12 ft^2

Answer: 12 square feet

7 0

3 years ago

Help me asap!!!!! Very important!!

frozen [14]

Answer:

strong negative linear correlation
-0.986

Step-by-step explanation:

You need to notice that when altitude goes up, temperature goes down. That means the correlation is negative.

The table shows the temperature decrease to be monotonic (nowhere does it go up when altitude increases), so the correlation is strong.

The strong negative correlation number available to you is -0.986.

___

If you want confirmation, you can put the numbers into your favorite graphing calculator and tell it to compute the correlation for you.

4 0

3 years ago

What is the answer to this question 8 1/2- 7 1/4

zysi [14]

1 1/4 because you must make improper fractions

4 0

4 years ago

Read 2 more answers

Find the volume of a prism whose area of base is 44cmsquare and height is22cm

vovangra [49]

For this problem, you can use the volume of a prism equation:
V=Bh
Where B is the area of the base and h is the height.

So to solve this problem, all you have to do is mutiply 44 square cm by 22 cm.
44 square cm • 22 cm = 968 cubic cm

4 0

3 years ago