A car starts with a speed of 20km/ hr and accelerates at a rate of 3.4 m/s for 20 seconds. What is the final speed of the car in
1 answer:
You might be interested in
Answer:
So on this case the 95% confidence interval would be given by (563.997;741.203)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean for the sample
population mean (variable of interest)
s=311.7 represent the sample standard deviation
n=50 represent the sample size
Soltuion to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (563.997;741.203)
At the time the cannonball reaches the ground, the vertical height of the cannonball from the ground is 0, i.e. h = 0.
Thus, the time it will take the cannonball to reach the ground is given by
Therefore, it will take the cannonball 8 seconds to reach the ground.
Thus, the time it will take the cannonball to reach the ground is given by
Therefore, it will take the cannonball 8 seconds to reach the ground.