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3 years ago

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The scale of a model train is 1 inch to 11.5 feet. One of the cars of the model train is 5 inches long. What is the length, in f

eet, of the actual car?

1 answer:

Alekssandra [29.7K]3 years ago

5 0

Answer:

57.5

Step-by-step explanation:

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Can someone help with this question??

Step2247 [10]

Answer:

?

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

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

$P(X \leq 1) = P(X = 0) + P(X = 1)$

So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

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 capacity of a beamer is 0.1 liter. convert this to milliliters

Vladimir [108]

A milliliter is a thousandth of a liter. 1,000 milliliters (mL) are in a liter. So, multiply 0.1 by a thousand to find the answer. The answer is 100.

3 0

3 years ago

A right angle has an area of 13m*2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the

Alex_Xolod [135]

The answer is: 117m²

The explanation is shown below:

1. You have the following information given in the problem:

- The triangle has an area of 13 m².

- The dimensions of the triangle are increased by a scale factor of 3.

2. Therefore, to solve the exercise you must multiply the area by $3^{2}=9$ , as following:

$A=(13m^{2})(9)\\A=117m^{2}$

5 0

3 years ago

Customers can pick their own apples at the Happy Apple Farm. They pay $5

kotegsom [21]

Answer: C

Step-by-step explanation:

For this problem, we know that customers already have to pay $5 just to enter the farm. The $5 is basically a flat fee. Our equation would be:

y=5+____

Now, we know that the apples cost $2.50 per pound. Our final equaiton would be:

y=5+2.5x

6 0

3 years ago