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ale4655 [162]
2 years ago
14

A car travels 312 miles in the same time that a motorcycle traveled 272. If the cars speed is 10mph more than the motorcycles, f

ind the speed of the car and the speed of the motorcycle.
Mathematics
1 answer:
dimaraw [331]2 years ago
3 0

Answer: speed of the car is 88 miles per hour

the speed of the motorcycle is 78 miles per hour

Step-by-step explanation:

Number of miles travelled by car = 312

Number of miles travelled by motorcycle = 272

Let x = speed of the car

Let y = speed of the motorcycle

If the car's speed is 10mph more than the motorcycle's, it means

x = y + 10 - - -- - - 1

Time taken for car to travel 312 miles is distance /speed = 312/x

Time taken for motorcycle to travel 272 miles is distance /speed = 272/y

The car travels 312 miles in the same time that a motorcycle traveled 272.

This means

312/x = 272/y

312y = 272x

y = 272x/312

Substituting y = 272x/312 into equation 1, it becomes

x = 272x/312 + 10

312x = 272x + 3120

312x-272x = 3120

40x = 3120

x = 3120/40 = 78 miles per hour

x = y + 10 = y + 78

x = 88 miles per hour

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Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0739

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In this question:

s = 3.

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The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.

8 0
3 years ago
Segment LM is the mid-segment of trapezoid a b c d. Ab = 38 and cd = 78. what is lm?
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Answer:

58

Step-by-step explanation:

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Step-by-step explanation:

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