A human cannonball is to be fired with an initial speed of 80 ft/s. The circus performer hopes to land on a cushion located 180
feet downrange at the same height as the muzzle of the cannon. The circus is being held in a large room with a flat ceiling 30 feet higher than the muzzle. Can the performer be fired to the cushion without striking the ceiling? If so, what is the proper firing angle? g = 32 ft/sec^2.
1 answer:
Answer:
See explanation for step to step answer
Step-by-step explanation:
Given that;
initial speed of 80 ft/s.
The circus performer hopes to land on a cushion located 180 feet downrange at the same height as the muzzle of the cannon.
The circus is being held in a large room with a flat ceiling 30 feet higher than the muzzle.
Can the performer be fired to the cushion without striking the ceiling If so, what is the proper firing angle. g = 32 ft/sec^2.
See attavhed documents for further step by step answers.
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So you would just have to divide 20/7 to get the percentage of it.
The answer would be 2.85%.
The answer would be 2.85%.
Answer:
The 95% confidence interval would be given by (122;138)
And the correct interpretation for this case is:
c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.
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 % where by 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".
Solution 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(0.025,24)".And we see that
Now we have everything in order to replace into formula (1), for this case we got:
The 95% confidence interval would be given by (122;138)
And the correct interpretation for this case is:
c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.