Based on the area of the tabletop with the inner circle, the area after the inner circle has been cut out is 12,309 inch².
<h3>How do we find the new area of the tabletop?</h3>
We are told that the area of the tabletop is 12,463 inch².
We then need to find the area of the circlular cutout as:
= π x radius x radius
= 3.14 x 7 x 7
= 154 inch²
The new area after the cutout is removed is therefore:
= Current area - area of circular cutout
= 12,463 - 154
= 12,309 inch ²
Rest of the question:
Area of table including the cutout is 12,463 square inches.
Find out more on area at brainly.com/question/13183446.
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<span>10=z/2+7
Subtracat 7 from both sides
3=z/2
Multiply 2 on both sides
Final Answer: 6 = z</span>
Answer: The required probability is 9.09%.
Step-by-step explanation: Given that a jar contains 6 blue, 4 red, and 2 green marbles.
We are to find the probability that three blue marbles are drawn with out replacement.
Total number of marbles = 6 + 4 + 2 = 12.
After drawing one blue marble, we are left with total 11 marbles. And after drawing the second blue marble, we are left with total 10 marbles.
Therefore, the probability of drawing three blue marbles without replacement is given by

Thus, the required probability is 9.09%.
Answer:
2
Step-by-step explanation:
Answer:
Adult: 50 tickets
Child: 34 tickets
Step-by-step explanation:
Let a be the amount of adult tickets
Let c be the amount of child tickets
Equation:
a + c = 84
14a + 9c = 1,006
Step 1: Multiply a + c = 84 with -9, to canceled c.
-9 (a + c = 84) → -9a - 9c = -756
14a + 9c = 1006 → 14a + 9c = 1006
Step 2: Combined the 2 equation together, and solved it.
-9a - 9c = -756
<u>14a + 9c = 1006</u>
<u> 5a</u> = <u>250</u>
5 5
a = 50
Step 3: Plug 50 into the one of the equation, and solved it.
a + c = 84 → 50 + c = 84
<u>-50 -50</u>
c = 34
Answer: Adult tickets (a) = 50 and Child tickets (c) = 34
To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).