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Art [367]
3 years ago
14

A train has 10 cars numbered 1 through 10. If the cars are coupled randomly, what is the probability that the first3 cars are in

car number order?
Mathematics
2 answers:
Pepsi [2]3 years ago
8 0

You would have a 3 to 10 chance that the first 3 cars are in order


lakkis [162]3 years ago
4 0

Answer:

\frac{1}{720}

Step-by-step explanation:

If we arrange the first three cars one by one we get -

Selecting the first car out of ten cars = \frac{1}{10}

Selecting the second car out of remaining nine cars = \frac{1}{9}

Selecting the third car out of remaining eight cars = \frac{1}{8}

So, the probability of selecting  three cars back to back without repeating is given by

Probability of Selecting the first car out of ten cars * Probability of Selecting the second car out of  remaining nine cars * Probability of Selecting the third car out of  remaining eight cars

= \frac{1}{10} * \frac{1}{9}* \frac{1}{8}\\= \frac{1}{720}

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What is the general term equation, an, for the arithmetic sequence 5, 1, â3, â7, . . . , and what is the 21st term of this seque
Valentin [98]
Hello :

the nth term ( general term  of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d , A1 : the first terme
A1 = 5    and : d = 1 - 5 = - 4    n = 21
A21 = 5 + (21 -1)(-4)
A21 = 5 - 80 = -75

<span>                                      
</span>

3 0
3 years ago
WILL MARK BR HELP ME PLZ FAST AS POSSIBLE
posledela
<h2>Answer:</h2>

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8 0
2 years ago
What is 4 times 2 please I’m in need of an answer
MAXImum [283]
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5 0
2 years ago
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Isabel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $46 and costs an a
zaharov [31]

The missing part of the question is "For what amount of driving do the two plans cost the same"

The amount of driving that do the two plans cost the same is 450 miles

Step-by-step explanation:

Isabel will rent a car for the weekend. She can choose one of two plans

  • The first plan has an initial fee of $46 and costs an additional $0.13 per mile driven
  • The second plan has an initial fee of $55 and costs an additional $0.11 per mile driven

We need to find for what amount of driving do the two plans cost the same

Assume that she will drive for d miles

The first plan:

∵ The initial fee is $46

∵ The additional cost is 0.13 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $46 and the product of

   0.13 and d

∴ The cost = 46 + 0.13 d ⇒ (1)

The second plan:

∵ The initial fee is $55

∵ The additional cost is 0.11 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $55 and the product of

   0.11 and d

∴ The cost = 55 + 0.11 d ⇒ (2)

∵ The cost of the two plans is the same

- Equate (1) and (2) to find d

∴ 46 + 0.13 d = 55 + 0.11 d

- Subtract 46 from both sides

∴ 0.13 d = 0.11 d + 9

- Subtract 0.11 d from both sides

∴ 0.02 d = 9

- Divide both sides by 0.02

∴ d = 450

The amount of driving that do the two plans cost the same is 450 miles

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

5 0
3 years ago
To wash a window that is 12 feet off the ground, Wayne leans a 13-foot ladder against the
AlladinOne [14]

Answer:

5 meters

Step-by-step explanation:

Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.

c = √( a² + b² )

c² = a² + b²

b² = c² - a²

b = √ ( c² - a² )

b = √ ( 13² - 12² )

b = 5 meters

Correct me if I'm wrong. I hope it helps.

3 0
2 years ago
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