In a train yard, there are 6 flatcars, 7 boxcars, and 3 livestock cars. A train is made up of 9 cars.Which would you use to find the number of ways the train could be made up?

Answers

Answer 1

Answer:

The number of ways the train could be made up are 4,151,347,200.

What is permutation?

A permutation of a set is an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Now the given cars are 6 flatcars, 7 boxcars, and 3 livestock cars.

So the total number of cars, n = 6 + 7 + 3

= 16

Now, a train is made up of 9 cars,

Therefore, r = 9

Hence the required number of ways the train could be made is nPr

nPr = n!/(n-r)!

nPr = 16!/(16-9)!

nPr = 16!/7!

nPr = 16*15*14*13*12*11*10*9*8

nPr = 4,151,347,200

Hence,the number of ways the train could be made up are 4,151,347,200.

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Answer 2

Answer:

Answer:

The answer is A on edge

Step-by-step explanation:

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Answers

Answer for 1. 72

Answer for 2.536

Answer for 3.195

1. is 72
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Which r-value represents the strongest correlation?–0.83
–0.67
0.48
0.79

Answers

The r-value that represents the strongest correlation is (a) - 0.83

How to determine the strongest correlation?

The correlation coefficient has its value to be from -1 to 1

The closer the value to 1 or -1, the stronger the correlation

-0.83 is closer to -1 than the other values closer to 1 or -1

Hence, the r-value that represents the strongest correlation is (a) - 0.83

Answers

b4 + b3 - 45b2 - 27b + 25—————————————————————————b2

the answer is (b+5)(b+5)/b(29-5)

The sum of twice a number and 10 is 36

Answers

2x+10=36
X=13
Subtract 10 from both sides then divide x

Final answer:

To solve the equation, subtract 10 from both sides and divide by 2 to find the value of x.

Explanation:

To solve this problem, we need to set up an equation using the given information. Let's assume the number is x. We can translate the phrase 'twice a number' into the expression 2x. The equation becomes:

2x + 10 = 36

Next, we can solve for x by subtracting 10 from both sides:

2x = 26

Finally, we divide both sides by 2 to isolate x:

x = 13

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Y ^-7 / y ^-13 20 POINTS PLEASE HELP

Answers

Answer:

The answer is

${y}^(6)$

Step-by-step explanation:

$\frac{ {y}^( - 7) }{ {y}^( - 13) }$

To solve the expression we use the rules of indices

Since the bases are the same and are dividing we subtract the exponents

That's

$\frac{ {a}^(x) }{ {a}^(y) } = {a}^(x - y)$

So we have

$\frac{ {y}^( - 7) }{ {y}^( - 13) } = {y}^( - 7 - - 13) = {y}^( - 7 + 13)$

We have the final answer as

${y}^(6)$

Hope this helps you

A circle has a circumference of 2 pi cm. Which statement about the circumference and area is true? A comparison of the area and circumference is not possible since the area cannot be determined. The numerical values of the circumference and area of the circle are equal. The numerical value of the circumference is greater than the numerical value of the area. The numerical value of the circumference is less than the numerical value of the area.