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timofeeve [1]
3 years ago
9

Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80%

commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 70% of those now using public transportation will commute via automobile and 30% will continue to use public transportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)

Mathematics
1 answer:
mart [117]3 years ago
6 0

Answer:

The percentage of people using public transport after the calculation is 42%

Step-by-step explanation:

As attached

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Ghella [55]

Answer:

  • The third side may be between 1 and 13 units

Step-by-step explanation:

Let the missing side is x.

According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than  the third side.

<u>We have inequalities:</u>

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<u>The common solution is:</u>

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5 0
2 years ago
If you flip a fair coin 4 times, what is the probability that you will get exactly 2 tails
Ilia_Sergeevich [38]

Answer:

<h3>The answer is <u>3/8</u> NOT 50%</h3>

Step-by-step explanation:

One way to solve this problem is to figure out how many ways you can get exactly 222 tails, then divide this by the total number of outcomes you could have gotten. Since every outcome has equal probability, this will be the probability that you will get exactly 2 tails.

How many outcomes are there where you get exactly 2 tails? Try thinking of each outcome as a 4-letter word, where the first letter is "H" if the first coin toss was heads and "T" if it was tails, and so on.

So, the number of outcomes with exactly 2 tails is the same as the number of these words which have 2 T's and 2 H's.

How many of these are there? If we treat all the letters as unique, we'll find that there are 4! different arrangements, overcounting 2! times for every time we only switch the T's around, and 2! times for every time we only switch the H's around.

So, there are <u>4!/2!2!</u> = 6  

​  

<u>4!/2!2!</u>= 6 different outcomes where you get exactly 2 tails.

Altogether, there are 2^4 = 16 total possible outcomes.

So, the probability that you will get exactly 2 tails is <u>6/16</u> = 3/8

​  

4 0
3 years ago
Real numbers are (closed/not closed) under multiplication.
Sveta_85 [38]

thanks tho

<u>next time use ur head</u> Step-by-step explanation:

7 0
3 years ago
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Answer:

3 3/5 miles

Step-by-step explanation:

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4 0
2 years ago
Read 2 more answers
What is a simple way to rotate a shapes or points
mrs_skeptik [129]

When rotating points and shapes on a coordinate plane, you can use these simple methods:

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180 degree rotation clockwise: convert (x, y) to (-x, -y).

Example: (2, 4) --> (-2, -4).

270 degree rotation clockwise: convert (x, y) to (-y, x).

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360 degree rotation: This changes nothing. This basically means that the figure spins in a full circle only to return to its previous position.

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3 0
3 years ago
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