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Answer:
<em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>
Step-by-step explanation:
Find the diagram attached
If line AC and BD intersects, then m<AED + m<DEC = 180 (sum of angle on a straight line is 180 degrees)
Given
m<AED = 16x+8
m<DEC = 76 degrees
16x + 8 + 76 = 180
16x + 84 = 180
16x = 180-84
16x = 96
x = 96/16
x = 6
Hence the value of x is 6
Hence the correct option is <em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>
Answer:
The expected value of the proposition is -$0.76.
Step-by-step explanation:
It is provided that a basketball player has made 291 out of 389 free throws.
Then rate of him making a free throw is,
The probability that he makes the next 2 free throws is:
The payout rules are:
- If the player makes the next 2 free throws, I will pay you $38.
- Otherwise you pay me $50.
Compute the expected value of the proposition as follows:
Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)
Thus, the expected value of the proposition is -$0.76.