The net would be 51 feet long to stretch from one side of the court to the other
<h3>What are scaled drawings?</h3>Scale drawings are drawings that shows a diagram with another proportional dimensions
The scale ratio of the diagram is given as:
Scale = 1 inch = 12 feet
The length of the net is given as:
Length = 4.25 inches
So, the actual length of the net is:
Evaluate the product
Hence, the net would be 51 feet long, if stretched across the court
Read more about scaled drawings at:
Answer:
The 95% confidence interval would be given by
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 % 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 1
represent the sample mean 2
n1=27 represent the sample 1 size
n2=30 represent the sample 2 size
population standard deviation for sample 1
population standard deviation for sample 2
parameter of interest.
Solution to the problem
The confidence interval for the difference of means is given by the following formula:
(1)
The point of estimate for is just 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: "=-NORM.INV(0.025,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by
Answer:
r =
Step-by-step explanation:
The distance from the centre to a point on the circle is the radius r
Calculate r using the distance formula
r =
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, 5 )
r =
=
=
=