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cestrela7 [59]
3 years ago
15

On a long-distance biking trip, annike started biking at 7 a.M., and her average speed was 11 miles per hour. Celia started at 8

a.M., and her average speed was 14 miles per hour
Mathematics
1 answer:
gladu [14]3 years ago
5 0

Answer:

3.67 hours

Step-by-step explanation:

Speed is the ratio of distance to time, it is given by the formula:

Speed = Distance / time

For annike her average speed was 11 miles per hour and she started at  7 am.

At 8 am (time = 1 hr i.e 7 am to 8 am) the distance she would have covered is given as:

11 miles/hr = distance / 1 hr

Distance = 11 miles per hr × 1 hr = 11 miles

After 8 am, the distance traveled at time t is:

11 = distance/t

distance = 11t

Total distance = 11t + 11

For Celia she started at 8 am at 14 miles per hour, at time t, the distance traveled is:

14 = distance/t

Distance = 14t  

Given that both bikers traveled the same distance, hence:

14t = 11t + 11

3t = 11

t = 11/3

t = 3.67 hours

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A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean isx⎯ ⎯ x¯ = 840 and
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(832.156, \ 847.844)

Step-by-step explanation:

Given data :

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Sample mean, \overline x = 840

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a). 98% confidence interval

$\overline x \pm t_{(n-1, \alpha /2)}. \frac{s}{\sqrt{n}}$

$E= t_{( n-1, \alpha/2 )} \frac{s}{\sqrt n}}

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Answer:

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Step-by-step explanation:

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