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3 years ago

Someone help me please!!!!

Mathematics

1 answer:

Ghella [55]3 years ago

8 0

I am pretty sure number 3 is the right answer

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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

A light shines from the top of a pole 50ft high. a ball is dropped from the same height from a point 30 ft away from the light.

belka [17]

The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft

50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt

7 0

3 years ago

Two partners are starting a wedding planning business. The total investment is $45,000. Their investments are in the ratio 4:5.

JulijaS [17]

Answer:

Hey there!

Think of 45000 being split to 9 pieces.

Each piece would be 5000 dollars.

Thus, the ratio would be 20000 to 25000

Hope this helps :)

7 0

3 years ago

19. A spherical balloon has a circumference of 19cm. what is the approximate surface area of the balloon to the nearest square c

Tamiku [17]

The main formula of a spherical surface area is SA= 4 x Pi x r²
the circumference is C= 19cm =2 Pi r, so r = C/ 2Pi = 19 / 6.28 =3.02cm
so the surface area can be found by computing
SA= 4x 3.14x 3.02² =114.5, the nearest square centimeter is <span>A) 114 cm^2</span>

5 0

3 years ago

The quantity x minus 3 divided by y

anygoal [31]

Answer:

x-3/y

Step-by-step explanation:

thats the expression

8 0

3 years ago