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Sliva [168]
2 years ago
7

There are 25 prime numbers between 1 and 100. There are 46 prime numbers between 1 and 200. Which situation is more likely? Expl

ain your reasoning. 1. A computer produces a random number between 1 and 100 that is prime. 2. A computer produces a random number between 1 and 200 that is prime.
Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
8 0

Answer:

One.

Step-by-step explanation:

There is a 25% chance of situation one happening.

\frac{prime}{total} =\frac{25}{100} = 0.25=25%

There is a 23% chance of situation two happening.

\frac{prime}{total} =\frac{46}{200}=0.23=23%

Since the chance is two percent bigger from situation one, situation one should be the one that is more likely to happen.

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Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the
klemol [59]

Answer:

I'm going to paint you a picture in words of what this looks like on paper.  We have a train leaving from a point on your paper heading straight west.  We have another train leaving from the same point on your paper heading straight east.  This is the "opposite directions" that your problem gives you.  

Now let's make a table:

                distance       =        rate      *       time

Train 1

Train 2

We will fill in this table from the info in the problem then refer back to our drawing.  It says that one train is traveling 12 mph faster than the other train.  We don't know how fast "the other train" is going, so let's call that rate r.  If the first train is travelin 12 mph faster, that rate is r + 12.  Let's put that into the table

              distance        =        rate        *        time

Train 1                                        r

Train 2                                    (r + 12)

Then it says "after 2 hours", so the time for both trains is 2 hours:

         

              distance        =        rate        *        time

Train 1                                        r           *          2

Train 2                                  (r + 12)       *          2

Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r.  The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24.  The distance between them (which is also the length of the whole entire arrow) is 232.  Thus:

2r + 2r + 24 = 232 and

4r = 208 so

r = 52

This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph

Step-by-step explanation:

3 0
3 years ago
A restaurant is offering 2 specials: 10 burritos for $12, or 6 burritos for $7.50. Noah needs 60 burritos for his party. Should
slega [8]

Answer:

6 orders of the 10 burrito special

Step-by-step explanation:

10 burritos for $12

60 burritos for $72.

6 burritos for $7.50

10 burritos for $75

So the 10 burritos for $12 is better.

Hope this helps :D

5 0
3 years ago
-12=3-2k-3k<br><br> Solving multi-step equations<br><br> I give Brainliest!
inessss [21]

Answer:

k = 3

Step-by-step explanation:

-12 = 3 - 2k - 3k

-12 = 3 - 5k

5k = 15

k = 3

6 0
3 years ago
Is the sequence geometric? if so, identify the common.<br> 2, 6, 18, 54,...
Nastasia [14]
Common ratio = 6/2 = 3
7 0
3 years ago
Read 2 more answers
Which expressions is the same as 1/5 of 7
Harlamova29_29 [7]
The answer is 1/5 < 35/5
8 0
2 years ago
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