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gtnhenbr [62]
2 years ago
8

Raquel builds a model train that has 4 equal-sized rail cars. Each rail car has a passenger section and a cargo section. The car

go section for each rail car is 4 inches long. The total length of the model train is 48 inches. What is the length of the passenger section in each rail car?
Mathematics
1 answer:
Butoxors [25]2 years ago
3 0

Answer:8

Step-by-step explanation:

48/4 = 12

12-4 = 8

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Draw or write to explain why 1 hundred 4 tens and 14 tens name the same amount
Natalija [7]
They are they same amount because 100 and 4 tens and 14 tens are the same
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From a group of 13 women and ​12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can
Fantom [35]

The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

                                                     ∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

        = 13!/5!.8!

        = 1287

12C₈ = 12!/(12₋8)! 8!

        = 12!/5! 8!

        = 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

Learn more about "Permutations and Combinations" here-

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4 0
2 years ago
Find the measure of an angle whose measure is 60 degrees more than the measure of its complement
Natasha2012 [34]
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I need help with this please
Gnoma [55]

Answer:

He started with 180.

Step-by-step explanation:

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4 0
2 years ago
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andrezito [222]

Answer:

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Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Paul is diving and is 3.5 feet below sea level

- He is descending at a rate of 0.5 feet per minute

- Paul is now at 12 feet

∵ His initial position is at 3.5 feet below the sea

∵ He is descending, that means he is moving down

∵ His final position is at 12

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∵ He is descending at a rate of 0.5 feet per minute

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∴ <em>His time of descending = 8.5 ÷ 0.5 = 17 minutes</em>

* <em>He has been diving for 17 minutes</em>

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