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Svetlanka [38]
3 years ago
14

A motor club has estimated that a 325 mile car trip will take 6 1/2 hours. What is the club assuming to be the average speed mil

e per hour?
Mathematics
1 answer:
In-s [12.5K]3 years ago
3 0

<u>Answer: </u>

The average speed that the club is assuming is 50 miles per hour

<u>Solution: </u>

We know that Distance = Speed × Time.

Here it is given that distance is 325 miles and the time to cover 325 miles is 6_{2}^{1} hours which is equal to \frac{13}{2} hours.

Now to find the average speed mile per hour we use the formula

\begin{aligned} \text { Speed } &=\frac{\text { Distance }}{\text { time }} \\ &=\frac{325}{\frac{13}{2}} \\ &=\frac{325 \times 2}{13} \end{aligned}

By cancelling 325 by 13 we get 25

= 25 × 2  

= 50 miles per hour

Thus the average speed that the club is assuming is 50 miles per hour.

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Step-by-step explanation:

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Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

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P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

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Now,

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By putting the value, we get

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Now put this value in P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)} , we get

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

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P(A|Head) = 0.857

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Solve the given system of equations.
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The given equations are:
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2) 3x - 6y = -15
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Equating the values of x, we get:

9 - 2y = 2y - 5
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14 = 4y
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Using this value of y in equation 1 we get:

x = 9 - 2(3.5) = 2

So, the solution set is (2, 3.5)

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