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Digiron [165]
3 years ago
8

The mean lifetime of a tire is 46 months with a variance of 49. if 133 tires are sample, what is the probability that the mean o

f the sample would differ from the population mean by less than 1.05 months? round your answer to four decimal places.
Mathematics
1 answer:
nata0808 [166]3 years ago
5 0
Answer: The correct probabilities is about 0.1192.

To start we need to find the standard deviation, it is the square root of the variance or 7.

Now, we need to find the z-score of a value that is 1.05 months above the mean.

1.05 / 7 = 0.15 produces a value of 0.5596. Since we are dealing with a range from 0.15 below and above the mean, we have 0.0596 to the right of the mean and the same below the mean.

0.0596 x 2 = 0.1192
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On level ground, a vertical rod 12 feet tall casts a shadow 4 feet long, and at the same time a nearby vertical flagpole casts a
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A car travels 500 miles at an average speed of 60 MPH on the return trip the same route that it travels 50 miles per hour how lo
xxMikexx [17]

Step-by-step explanation:

it is not clear - is 500 miles the whole round trip, or is it only the trip in one direction ?

and do we need the time for the whole round trip, or only for the return trip ?

in any case, always remember,

speed = distance/time

therefore, to get time, we need to divide distance by speed :

distance / distance/time = time×distance/distance = time

so, let's calculate all these different scenarios :

1. 500 miles is only one direction, and we measure only the time going back with 60 mph :

500 / 60 = 50/6 = 25/3 = 8 1/3 = 8 hours 20 minutes.

as 1/3 of 1 hour = 1/3 of 60 minutes = 60/3 = 20 minutes.

2. 500 miles is only one direction (going 1000 miles altogether), and we measure the time going to with 50 mph and going back with 60 mph :

500 / 50 = 10 hours

500 / 60 = 8 hours 20 minutes

the whole round trip takes 18 hours 20 minutes.

3. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure only the time going back with 60 mph :

250 / 60 = 25/6 = 4 1/6 = 4 hours 10 minutes.

as 1/6 of 1 hour = 1/6 of 60 minutes = 60/6 = 10 minutes.

4. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure the time going to with 50 mph and back with 60 mph :

250 / 50 = 5 hours

250 / 60 = 4 hours 10 minutes

the whole round trip takes 9 hours 10 minutes.

did you notice ?

when going only half the distance, also the time it takes to travel that distance is only half (or vice versa - double). because the ratio distance/time is always the same.

7 0
2 years ago
Steve and Ben have some money in their wallets. If Steve gives Ben $3, Ben will have twice as much as Steve. If Ben gives Steve
Zigmanuir [339]

Answer:

Money owned by Steve = $11

Money owned by Ben = $13

Step-by-step explanation:

Let x denotes the money owned by Steve and y denotes the money owned by Ben.

Then, Steve gives $3 to Ben

Money left with Steve = x-3 and Ben = y+3

Now, Ben will have twice as much as Steve.

⇒ y+3  = 2(x-3) .............(1)

If Ben gives Steve $7

Money left with Steve = x+7 and Ben = y-7

Then,  the amount Ben has will be one-third that of Steve’s.

⇒ y-7 = \frac{1}{3} (x+7) ..........(2)

Solving equation (1) and (2) by elimination method, we get

x = 11 and y = 13

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2 years ago
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6{x}^{2} + 5x = 4
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