A cyclist traveled kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel kilometers, the
1 answer:
The speed of skaters was 10 km per hr.
<h3>How to solve? </h3>
Mathematically, the speed of an object is directly proportional to the distance traveled and inversely proportional to the time taken. In simple words, the more the speed, the distance traveled is more in a short period and vice-versa.
Let the speed of the skater be x
We know, speed =
According to the question:
Cross multiplying both sides,
20(x+10) = 40x
20x + 200 = 40x
20x = 200
x = 10
Thus, the speed of skaters was 10 km per hr.
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Answer:
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.28.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5
The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.