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3 years ago

Rewrite as a simplified fraction. 3.5 repeating = ?

Mathematics

2 answers:

Ad libitum [116K]3 years ago

7 0

As a fraction in simplified form, 3.5 is equal to 7/2 .

But you say you want something that's repeating.

That's a problem . . . there's no part of 3.5 that's repeating now, and if I just go ahead and write something that does repeat, my invention will change the value, and it won't be equal to 3.5 any more.

Here's one possibility, I guess: 3.500 000 000 000 000 000 000 . . .

The zeros repeat infinitely, and no matter how many (or how few) zeros you write, the value of the number is always 3.5 and it never changes.

If it's the ' 5 ' on the end that you want to see repeating, that's actually easier to work with. Then we have 3.555 555 555 555 555 555 . . .

THOSE fives really do keep repeating and never end, and that number is equal to (3 and 5/9) or (32/9) .

timurjin [86]3 years ago

3 0

Answer: I believe 7 / 2

Step-by-step explanation:

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3 years ago

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3 years ago

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4 years ago

Roll two fair dice. Each die has six faces. A. Let A be the event that either a 3 or 4 is rolled first followed by an odd number

zhenek [66]

Answer:

A. 0.16

B. 0.58

C. No

D. Dependent

Step-by-step explanation:

The sampling space has 36 outcomes.

The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)

So P(A)= 6/36 = 0.16

The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58

Are A and B mutually exclusive events?

No since their intersection is not empty, for example (3,1) belongs to both A and B

In order for A and B to be independent, it must happen that

P(A∩B)=P(A)P(B)

A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36

whereas

P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72

So A and B are not independent.

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4 years ago

A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The

BabaBlast [244]

Answer:

65 mph on level road

Step-by-step explanation:

Set b as average speed on the level road and (b-20) = average speed on the winding road

Distance = speed * time

Level Road distance + winding road dististance = 285 miles

Substituting b and (b-20), we have,

3b + 2(b-20) = 285

3b + 2b - 40 = 285

5b = 285 + 40

5b = 325

b= 325/5

b = 65 mph on level road

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3 years ago

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