Answer:
D. $10,540
Step-by-step explanation:
1. 20% of $24,900 is $4,980
2. 20% of $27,800 is $5,560
3. Add $4,980 to $5,560
4. Answer is $10,540 in commission
The probability that the next person will be assigned an orchestra seats is 2/5.
<h3>What is Probability?</h3>
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, Available Orchestra seats = 8
Balcony seats = 12
Total available seats = 12 + 8 = 20
Probability = Favorable Outcome / Total Outcome
Probability of getting orchestra ticket = 8/20
= 2/5
Thus, the probability that the next person will be assigned an orchestra seats is 2/5.
Learn more about Probability from:
brainly.com/question/14210034
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Answer:
x = 6
Step-by-step explanation:
move all terms to the left:
-1.5x+12-(2.5x-12)=0
get rid of parentheses
-1.5x-2.5x+12+12=0
add all the numbers together, and all the variable.
-4x+24=0
move all terms containing x to the left, all other terms to the right
-4x=-24
x=-24/-4 - divide
x=+6
As you can see in the given figure, there are two intersecting chords inside the circle.
Recall that the "Intersecting Chords Theorem" is given by

For the given case, we have
AE = 7
BE = 6
EC = 9
Let us substitute these values into the above equation and solve for DE

Therefore, the length of DE is 10.5 units.