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3 years ago

What is 2-(2x-4)>-4

Mathematics

1 answer:

ANTONII [103]3 years ago

8 0

Answer:

4x-8>-4

Step-by-step explanation:

2-(2x-4)>-4

2- times (2x) = 4x

2- times (-4) = -8

answer is

4x-8>-4

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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

Zinaida [17]

Answer: 43.988

Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.

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2 years ago

Which of the following has a unit price (price per item) of $0.25? Choose 2. *

exis [7]

Answer:

8 pieces/$2.00

6 pieces/$1.50

Step-by-step explanation:

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3 years ago

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What is the solution to the square root of 3x-6 equals 3

Crazy boy [7]

Answer:

x=12

Step-by-step explanation:

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3 years ago

The function f(x)=600+2x over x yields the average cost in dollars for a company to produce x calendars. Which statement best fi

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Answer:

The correct option is a.

Step-by-step explanation:

The average cost function is

$f(x)=\frac{600+2x}{x}$

Where x is the number of calendars produced.

The average cost formula is

$AC=\frac{\text{Total Cost}}{\text{Number of items}}$

Therefore the total cost is defined b the function

$g(x)=600+2x$

Here 600 is the initial cost and the cost each unit is 2.

Initial cost is the fixed cost which occurs at zero level of productivity.

The company spends $600 on a new computer and printer before beginning the project. The option (a) is correct.

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What is 2-(2x-4)>-4​

What is 2-(2x-4)>-4