It's all in the photo pls help.
2 answers:
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Answer:
Step-by-step explanation:
The volume of a cylinder is:
where is the radius and
is the height.
The height is 4 inches greater that the radius, so:
Substituting this in the formula for volume:
the volume is
thus:
Dividing everything between pi:
We can see that the solution for this is
since
We have the radius, now we find the height:
Answer:
a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.
b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.
Step-by-step explanation:
a) To approximate this distribution we have to calculate the mean and the standard distribution.
The mean is the proportion p=0.85.
The standard deviation can be calculates as:
To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:
The probability for this value of z is
The probability that Jodi scores 78% or lower on a 100-question test is 4%.
b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:
To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:
The probability for this value of z is
The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.