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3 years ago

What is 4(-w+8) simplified?

Mathematics

1 answer:

kow [346]3 years ago

3 0

Answer: -4w+32

Step-by-step explanation: 4*-w + 4*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

The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of th

bearhunter [10]

Answer:

The expression is equal to $\frac{150}{4^{2}}$

The area of the scale drawing is $9.375\ ft^{2}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

let

z------> the scale factor

x------> the area of the actual room

y-----> the area of the scale drawing

$z^{2}=\frac{x}{y}$

we have

$z=4$

$x=150\ ft^{2}$

substitute and solve for y

$4^{2}=\frac{150}{y}$

$y=\frac{150}{4^{2}}=9.375\ ft^{2}$

6 0

3 years ago

-|x|>4 <br> slove for x<br> i need help

Feliz [49]

-|5|>4 this is the answers

8 0

3 years ago

Please help I will give you brainliest

mezya [45]

Answer:

Answer is 5 3/4

Step-by-step explanation:

Thanks Hope this helps

5 0

2 years ago

Add 7 plus 8, then add a to the result. Write an expression for the sequence of operations described.

Ipatiy [6.2K]

Answer:

(7 + 8) + a is your answer

4 0

3 years ago