Answer:
O.1% of 203.75 million is 0.20375.
Step-by-step explanation:
( vertically opposite angles)
The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
For this problem, considering the cost of $0.5, the distribution is given as follows:
- P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.
- P(X = -0.1) = 15/(12 + 15 + 23) = 15/50 = 0.3.
- P(X = -0.2) = 23/(12 + 15 + 23) = 23/50 = 0.46.
Hence the expected value is given by:
E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.
More can be learned about the expected value of a discrete distribution at brainly.com/question/13008984
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17) AB = 26
18) ∠1 and ∠2 are supplementary angles.
19) ∠1 and ∠2 are vertical angles.
20) x = 7
21) 10.125° = ∠GEF
22) x = 14
23) x = 25
<h3>How to find congruent angles?</h3>
17) AC is congruent to CE.
DE = 7x - 1
BC = 9x - 2
CE = 10x + 18
DE + DE = CE
2DE = CE
2(7x - 1) = 10x+18
14x-2 = 10x+18
14x-10x = 18+2
4x = 20
x = 20/4
x = 5
Thus; AC = CE = 10x + 18
CD = 10x + 18 - 7x + 1
CD = 3x + 19
AB = 10x + 18 - (9x - 2)
AB = 10x + 18 - 9x + 2
AB = x + 18 + 2
AB = x + 20
Since x = 5
AB = 5 + 21
AB = 26
18) ∠1 and ∠2 are supplementary angles.
19) ∠1 and ∠2 are vertical angles.
20) ∠TUV = ∠TUW + ∠WUV
7x - 9 + 5x - 11 = 9x + 1
12x - 20 = 9x + 1
3x = 21
x = 21/3
x = 7
21) Let ∠DEG = x. Thus;
∠GEF = 5x - 13
Thus;
x + 5x - 13 = 149
6x = 162
x = 162/6
x = 10.125° = ∠GEF
22) 7x - 1 + 6x - 1 = 180
13x = 182
x = 14
23) 5x + 4 = 8x - 71
3x = 75
x = 25
Read more about Congruent Angles at; brainly.com/question/1675117
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