Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
1 answer:
Answer:
5.2seconds
Step-by-step explanation:
Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
The modeled function is given as
h(t) = –16t^2 +64t + 100,
We can see this is a quadratic equation, we can solve using quadratic formula, Below
= -b±(√b^2 -4ac)/2a
Where
a=-16, b=64, c=100
FROM THE ATTACHMENT
We have too answers t= -1.20s and t=5.20s
Therefore,it take 5.20s for the ball to reach the ground (h=0). Because "t" cannot be negative here
CHECK THE ATTACHMENT FOR THE QUADRATIC SOLUTION
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Answer:
a) The best estimator for the population mean is given by the sample mean
b) The 99% confidence interval would be given by (4.969;6.431)
c) We are 99% confident that the true mean for th number of gallons of gasoline sold to his customers is between 4.969 and 6.431.
Step-by-step explanation:
1) 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)
represent the population standard deviation
n=45 represent the sample size
2) Part a
The best estimator for the population mean is given by the sample mean
3) Part b. Develop a 99 percent confidence interval for the population mean.
The confidence interval for the mean is given by the following formula:
(1)
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: "=-NORM.INV(0.005,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 99% confidence interval would be given by (4.969;6.431)
4) Part c. Interpret the meaning of part (b).
On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline sold to his customers is between 4.969 and 6.431.