Answer:
DDDDD...............................
The formula for volume of a cylinder is : V = PI x r^2 x H
for both questions, plug in the known information and solve for the unknown:
Q1) V = 450, H = 8
so 450 = 3.14 x r^2 x 8
450 = r^2 x 25.12
r^2 = 450 / 25.12 = 17.914
r = sqrt(17.914) = 4.23 rounded to nearest tenth = 4.2 inches
Q2) V = 500, r=6
500 = 3.14 x 6^2 x H
500 = 3.14 x 36 x h
500 = 113.04 x h
h = 500 / 113.047 = 4.42 = 4.4 inches
Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84
Answer:
1,124.12 mm
Step-by-step explanation:
<u><em>Steps to answering this question : </em></u>
First determine the radius of the circle from the area of the circle
Use the radius determined above to calculate the circumference
Area of a circle = nr²
where r = radius
n = pi = 3.14
100,608.7mm = nr²
to determine the radius, divide both sides of the equation by 3.14
32,040.98726mm = r²
Find the square root of 32,040.98726mm
√32,040.98726mm
r = 179mm
Circumference of a circle = 2nr
2 x 179 x 3.14 = 1,124.12 mm
Answer:
C.
Step-by-step explanation:
Divide 250 and 7...................
