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
First, find the surface area of the bigger sides (there are 4 of them so what you get for one you will multiply by 4)
12 x 8 = 96
96 x 4 = 384
Then find the surface area of the smaller sides ( there are two small sides so multiply your answer by two)
8 x 8 = 64
64 x 2 =128
Then add both together
128 +384 = 512
Hope this helps :)
Step-by-step explanation:
explained in the photo
It takes three copies of 1/6 to show the same amount as one copy of 1/2.
Why this is is because a sixth is smaller than a half. There are six sixths in a whole. There are only two halves in a whole.
So when you divide the whole into six parts, you would need half of the parts to have a half. Like down here: <em>(not correct to scale, sorry)</em>
|-------------------|----------------------|
|-----|------|-------|------|-------|-------|
It takes 3 of the sixths to = 1 half.
another way you can check is by simplifying your fractions.
3/6, when you divide by 3 top and bottom, = 1/2
I hope this answers your question somewhat. Please ask if there's anything more
The answer is 88 when you divide 8,624 by 98:)
