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3 years ago

Here to you!!!!!!!! now prove it

Mathematics

1 answer:

Andrew [12]3 years ago

7 0

Answer:

teenagers who watch TV =2

teenagers wearing glasses =5

hence probability =2/5=0.4

now you prove how ur answer is 0.5

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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

PLZ HELP SCALE FACTOR TRIANGLE<br><br> A. 10.5 cm<br> B. 31.5 cm<br> C. 63 cm<br> D. 189 cm

Anarel [89]

If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².

We have the ratio:

$54:18=\dfrac{54}{18}=3:1$

Area of the smaler triangle = x

Area of the larger triangle = 567 cm²

Therefore we have the equation:

$567:x=3^2:1^2\\\\\dfrac{567}{x}=\dfrac{9}{1}\qquad|\text{cross multiply}\\\\9x=567\qquad|\text{divide both sides by 9}\\\\x=63$

<h3>Answer: C. 63 cm²</h3>

3 0

3 years ago

5. trey made pasta in the Shape of a square ; He draws 2 lines to cut the pasta into smaller pieces The smaller pieces have L I

hodyreva [135]

Wouldn't it be. 8 pieces because you cut each sides into two pieces so like this. —|—. You'll end up having four square pieces, but count the pieces that creates an L shape.

best wishes good luck

7 0

3 years ago

Read 2 more answers

The rule that maps each domain value to its range value is f(x)= ___x.

kirill115 [55]

Answer:

f(x) = 1/2x

Step-by-step explanation:

When x = -4 the output is -2

We are dividing by 2

When x = -2 the output is -1

f(x) = 1/2 x

Check when x = 2

f(2) = 1/2 (2) =1

3 0

4 years ago

What is f(7) for the rule of f(x)=-5x+10

Anna35 [415]

Answer:

f(7) = - 25

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into f(x), that is

f(7) = - 5(7) + 10 = - 35 + 10 = - 25

8 0

3 years ago