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Ratling [72]
2 years ago
14

Noah ran 2 1/2 miles in 3/5 hour. How far does he run in 1 hour?

Mathematics
1 answer:
victus00 [196]2 years ago
8 0

Step-by-step explanation:

0.6 hours = 2.5 miles

=> 1 hour = 2.5 miles * (1/0.6) = 4.16 miles.

Hence Noan runs 4.16 miles in 1 hour.

(or 25/6 miles)

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allochka39001 [22]
Since it is the midpoint we can say:
12x  - 1 = 8x +11
All we have do to is get all the x's alone on one side

12x - 1 = 8x + 11
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8 0
3 years ago
A parallel system functions whenever at least one of its components works. Consider a parallel system of 5 components, and suppo
Aneli [31]

Answer:

Probability that component 4 works given that the system is functioning = 0.434 .

Step-by-step explanation:

We are given that a parallel system functions whenever at least one of its components works.

There are parallel system of 5 components and each component works independently with probability 0.4 .

Let <em>A = Probability of component 4 working properly, P(A) = 0.4 .</em>

<em>Also let S = Probability that system is functioning for whole 5 components, P(S)</em>

Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;

P(A/S) =  {Means P(component 4 working and system also working)

divided by P(system is functioning)}

  P(A/S) =  {In numerator it is P(component 4 working) and in

                denominator it is P(system working) = 1 - P(system is not working)}

Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 - 0.6^{5} .

 Hence, P(A/S) = \frac{0.4}{1 - 0.6^{5} } = 0.434.    

7 0
3 years ago
There is 1/3 gallon of water in a 3-gallon container. Write a multiplication AND a division equation to represent the situation.
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Answer:

1/3

Step-by-step explanation:

1×3÷3=1/3

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