Answer: 423.11 m^2
Step by step explanation:
Area of a circle formula pi*r^2
First solve the area of the big circle
3.14*21^2=1384.74 m^2
Now find the are of the smaller circle
r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2
Now we can minus the small area off the big area to get the shaded area.
1384.74-961.63=423.11 m^2
So the area of the shaded region is 423.11 m^2
First, find the mean. You'll need it to compute the variance.
The variance of the sample is then computed with the formula
The standard deviation is the square root of the variance, so
The sine increases from 0 to 90 degrees and from 270 to 360 degrees
The sine decreases from 90 to 270 degrees
The cosine increases from 180 to 360 degrees
The cosine decreases from 0 to 180 degrees
Sine = 0 at 0 and 180 degrees
Cosine = 0 at 90 and 270 degrees
Answer:
Within 0.5 of ;
is not ;
Step-by-step explanation:
Given the data:
The actual standard deviation, = 1
;
The range rule of thumb to estimate the value if standard deviation is ;
Estimated standard deviation = Range / 4
The range = (maximum - minimum) values
The estimated standard deviation = 4 / 4 = 1
Hence, the estimated standard deviation is with 0.5 of the actual standard deviation, Thus, the estimated standard deviation is not substantially different from the actual standard deviation.
