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kati45 [8]
2 years ago
5

5/6, 1/4, and 2/3 yard. Needs 1 yd of cable

Mathematics
1 answer:
mixer [17]2 years ago
3 0
1. So first of all we have to divide the 3 fractions into decimals to get a decimal to compare. So 5/6 is the same as 5 divided by 6 which is .83 bar and so on...

5/6= .83 bar
1/4= .25
2/3= .66 bar

So 5/6 and 2/3 are closer to one.




2. The two shortest pieces are 2/3 and 1/4 so you se 1/4 + 2/3. Let’s get a common denominator for these fractions. The common denominator is 12. So multiply 1/4 • 3 to get 3/12 and multiply 2/3 by • 4 to get 8/12. Add them together and you get 11/12. So he would need 1/12 more cable or 0.083 bar.


3. Now we have to find a common denominator for all of them. The common denominator is 12 again. Multiply 5/6•2 and then you get 10/12, then add 10/12 +2/12(from 1/4) and then you get leftover with 9/12 or 3/4 more wire.
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7 0
3 years ago
Situation D: Suppose that, in a one-minute period during an electrical storm, the number of lightning strikes on a radar antenna
Crank

Answer:

21.77% probability that the antenna will be struck exactly once during this time period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

In this question:

\mu = 2.40

Find the probability that the antenna will be struck exactly once during this time period.

This is P(X = 1).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 1) = \frac{e^{-2.40}*2.40^{1}}{(1)!} = 0.2177

21.77% probability that the antenna will be struck exactly once during this time period.

3 0
3 years ago
Choose all the numbers that are part of Integers.
Aleksandr [31]

Answer:

  all except 5/6

Step-by-step explanation:

All of the numbers listed are in the set of integers, except for the fraction 5/6. It is a rational number, but not an integer.

___

If by "part of integers" you mean that the number can be multiplied by some integer value to make an integer, then 5/6 is "part of 5". It is 1/6 of the integer 5.

3 0
3 years ago
Keisha and her friends visit the concession stand at a basketball game. The stand charges $2 for a hotdog and $1 for a drink. Th
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Answer:

3 hot dogs and 5 drinks

Step-by-step explanation:

(3x2)+(1x5)

=(6)+(5)

=11

5 0
3 years ago
Find the 5th term of the sequence which has a first term of 17 and has a common ratio of 3.1.
Murrr4er [49]
The 1st term of the sequence:
a 1 = 17
r = 3.1
a n = a 1 * r^(n-1)
a 5 = a 1 * r^4
a 5 = 17 * 3.1^(4) = 17 * 92.3521
Answer:
a 5 = 1,569.9857
5 0
3 years ago
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