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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Answer:
The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.7291
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have . So
The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.