Answer:
V= πr^2 * height
Step-by-step explanation:
let's recall that the incenter is where all angle bisectors for the triangle meet, and that an angle bisector cuts an angle into two equal halves.
Check the picture below.
The number -49 is less because it's farther away from the zero. -41 is closer to zero than -49. Try it out on a number line!
Having a polygon inscribed in a circle divides the circle into equal parts, equal to the amount of sides the polygon has. In the case of a regular octagon inscribed in a circle, the circle is divided into 8 equal parts because of this. Since the measure of a whole circle is 360 degrees, an arc formed by an octagon is equal to 360 divided by 8.
Arc = 360 degrees / 8 = 45 degrees.
Step-by-step explanation:
Given:
population mean, mu = 57 lb
population standard deviation, sigma = 6.3 lb
Sample mean, x = 60.2 lb
Sample size, n= 45
Null hypothesis x = mu (i.e. sample mean is not greater than usual, using a significance level of 0.05)
Here we have a case where population mean and standard deviation are known (given).
We calculate the z-score
z=(x-mu)/(sigma/sqrt(n))
= (60.2-57)/(6.3/sqrt(45))
= 3.41
P(x>mu) = P(z>3.41) = 0.99968 >> 0.95 (one sided tail)
Therefore we can reject the null hypothesis and accept the alternate hypothesis that fish are larger than usual.