Answer:
The value of the expected profit from the concert is 8,910
Step-by-step explanation:
Profit on a clear day X₁ = 36,000 with 13% probability.
i.e X₁ = 36000
P(X₁) = 0.13
Profit on a cloudy day = 17,000 with 39% probability.
i.e X₂ = 17000
P(X₂) = 0.39
else,
loss of 5,000 if it rains with the probability of 48%.
i.e X₃ = 5000
P(X₃) = 0.48
The value of the expected profit from the concert is obtained as follows
Expected Value = (36,000*0.13) + (17,000*0.39) - (5,000*0.48)
= 4,680 + 6,630 - 2,400
= 8,910
By using parallel lines and transversal lines concept we can prove m∠1=m∠5.
Given that, a║b and both the lines are intersected by transversal t.
We need to prove that m∠1=m∠5.
<h3>What is a transversal?</h3>
In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.
m∠1+m∠3= 180° (Linear Pair Theorem)
m∠5+m∠6=180° (Linear Pair Theorem)
m∠1+m∠3=m∠5+m∠6
m∠3=m∠6
m∠1=m∠5 (Subtraction Property of Equality)
Hence, proved. By using parallel lines and transversal lines concept we can prove m∠1=m∠5.
To learn more about parallel lines visit:
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Answer: The answer is 11/16
Step-by-step explanation:
PEMDAS theres only addition and subtraction so we figure out this equation left to right.
1-1/2=1/2
1/2+1/4=3/4
3/4-1/8=5/8
5/8+1/16=11/16
This is a square with area 36 in^2
So dimensions are 6 * 6 ins and perimeter = 24 ins.
They are congruent angles
