The sides of a rectangle are a number and 4 less than that same numbers. The perimeter is 56. Find the dimensions of the rectang
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Answer:
The owner's total profit is $120,000.
Step-by-step explanation:
Assume that:
<em>X</em>₁ = contract is assigned to firm 1
<em>X</em>₂ = contract is assigned to firm 2
The sample space for assigning the two contracts is:
S = {(I, I), (I, II), (I, III), (II, I), (II, II), (II, III), (III, I), (III, II) and (III, III)}
There are total of 9 possible combinations.
So, the probability of selecting any of the combination is, 1/9.
Compute the probability distribution of <em>X</em>₁ and <em>X</em>₂ as follows:
<em>X</em>₁ P (<em>X</em>₁) <em>X</em>₂ P (<em>X</em>₂)
0 4/9 0 4/9
1 4/9 1 4/9
2 1/9 2 1/9
Compute the expected values of <em>X</em>₁ and <em>X</em>₂ as follows:
It is provided that each contract will yield a profit of $90,000.
Compute the owner's total profit as follows:
Thus, the owner's total profit is $120,000.
Answer:
Step-by-step explanation:
Total surface area of a cone is given by the expression,
SA = πrl + B
Here, r = Radius of the circular base
l = slant height
B = Surface area of the base
Surface area of the circular base = πr²
= π(5)²
= 25π cm²
Slant height 'AC' =
=
=
= 13 cm
Substitute the values in the expression of surface area,
SA = π(5)(13) + 25π
= 65π + 25π
= 90π cm²
Therefore, SA = 90π cm² will be the answer.
