A sprinter started his race slowly and then increase his speed by 12.5 miles per hour to reach a top speed of 21 miles per hour
1 answer:
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121 is big enough to assume normality and not worry about the t distribution. By the 68-95-99.7 rule a 95% confidence interval includes plus or minus two standard deviations. So 95% of the cars will be in the mph range
The question is a bit vague, but it seems we're being asked for the 95% confidence interval on the average of 121 cars. The 121 is a hint of course.
The standard deviation of the average is in general the standard deviation of the individual samples divided by the square root of n:
So repeating our experiment of taking the average 121 cars over and over, we expect 95% of the averages to be in the mph range
That's probably the answer they're looking for.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
To find which cylinder has the greater volume, we need to find out the volume of each one.
As we all know that the formula used to determine the volume of a cylinder is:
V = The base area*the height
<=> V = πh (cubic units)
For example, in my attached photo, we will use this formula to find the volume of each one.
- 1. Cylinder A:
The base area = π = π
= 38.46 square in
The height = 8.5 in
=> the volume of Cylinder A
= The base area*the height
= 38.46*8.5
= 326.91 cubic in
- 2. Cylinder B:
The base area = π = π
= 22.89 square in
The height = 11 in
=> the volume of Cylinder A
= The base area*the height
= 22.89*11
= 251.79 cubic in
Hence, Cylinder B has the greater volume
Answer:
The probability that the student answers at least seventeen questions correctly is .
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of correctly answered questions.
It is provided all the questions have five options with only one correct option.
Then the probability of selecting the correct option is,
There are <em>n</em> = 20 question in the exam.
It is also provided that a student taking the examination answers each of the questions with an independent random guess.
Then the random variable can be modeled by the Binomial distribution with parameters <em>n</em> = 20 and <em>p</em> = 0.20.
The probability mass function of <em>X</em> is:
Compute the probability that the student answers at least seventeen questions correctly as follows:
Thus, the probability that the student answers at least seventeen questions correctly is .