Answer:
Step-by-step explanation:
<u>XO = YO equal as radius, therefore</u>
∠YOZ is exterior angle of the triangle OXY and equal to sum of non-adjacent interior angles
Arc YZ is 108°
Correct option is B
Answer:
The reasonable range for the population mean is (61%, 75%).
Step-by-step explanation:
The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.
The mean of the sampling distribution of sample proportion is, 
.
One of the best interval estimate of population proportion is the 95% confidence interval for proportion,
Given:
n = 150
= 0.68
The critical value of <em>z</em> for 95% confidence level is:
Compute the 95% confidence interval for proportion as follows:
Thus, the reasonable range for the population mean is (61%, 75%).
Answer:
C) 50°
Step-by-step explanation:
In a triangular prism, B usually stand for the triangular base of the prism. It is the area of the triangle.
Area of a right triangle = ab/2
a = long leg ; b = short leg
Given measures are:
a = 4 yd ; b = 3 yd
A = (4 yd * 3 yd)/2 = 12 yd² / 2 = 6 yd² is the value of B.
the hypotenuse is 5 yd but it is not needed to get the area of the right triangle base. 7 yd is the measure of the height of the triangular prism.
Volume of reg sq. pyramid = vp
vp = 1/3×s^2×h, where s = side and h = height
Volume of cone = vc =1/3×h×pi×r^2
Now we know that h is the same for both, and the cones diameter = s of square base, so radius (r) = 1/2 s
so now vc = 1/3×h×pi×(1/2s)^2
let's remove the same items for both vc and vp
so 1/3 and h
now let's plug an arbitrary number into each:
vc = pi (10/2)^2 = 3.14×25 = 78.54
vp = s^2 = 10^2 = 100
So any square pyramid has slightly more volume than the cone
