Answer:
y=x=b=a=s
Step-by-step explanation:
a=s=d=a=s=d=a
Your question is not clear. I must guess what you meant. Did you mean "Find the two numbers?"
If so, let the two numbers be m and n. Then mn=60 and m=n-7.
Then (n-7)(n) = 60, or n^2 -7n - 60 = 0. This factors: (n+5)(n-12) = 0
Thus, n = -5 or n = 12.
check: does mn = 60? Does 12*5 = 60? Yes. Is m (which is 5) 7 less than n (which is 12)? Yes.
Note that you could also check to see whether n=-5 and m=n-7=-5-7=-12 is also a solution.
Answer:
Let’s denote X to be the number of white chips in the sample and E be the event that exactly half of the chips are white. Then,
a) Find α
α = P (reject H0 | H0 is true) = P (X ≥ 2|E)
= P (X = 2|E) + P (X = 3|E),
We took two case, as we can draw only only three chips with two or more white to reject H0, it means we can only take 2 white chips or 3, not more, we get solution
= (5C2 * 5C1)/10C3 + (5C3 * 5C0)/10C3
= 0.5
So, α = 0.5
b) Find β
i) Let E1 be the event that the urn contains 6 white and 4 red chips. (As given)
β = P (accept H0 | E1) = P (X ≤ 1|E1)
= (6C0 * 4C3)/10C3 + (6C1 * 4C2)/10C3
= 1/3
= 0.333
So, β = 0.333
i) Let E2 be the event that the urn contains 7 white and 3 red chips. (As given)
β = P (accept H0 | E2) = P (X ≤ 1|E2)
= (7C0 * 3C3)/10C3 + (7C1 * 3C2)/10C3
= 11/60
= 0.183
So, β = 0.183
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8
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Surface area= 24 ft^2
A cube has 6 faces, so the surface area of 1 face would be 24/6, which is 4 ft^2.
The formula for the area of a square is l x w, but in a square both are equal so you're essentially squaring one side.
Therefore, the area of a square ( 4 ft^2 ) can be square-rooted in order to find the length of an edge.
= 2
Therefore, the length of 1 edge of the cube is 2 ft
(I think)
