The equation is a circle centered at the origin with radius 8 (sqrt(64))
Therefore, the bounded region is just a quarter circle in the first quadrant.
Riemann Sum: ∑⁸ₓ₋₋₀(y²)Δx=∑⁸ₓ₋₋₀(64-x²)Δx
Definite Integral: ∫₀⁸(y²)dx=∫₀⁸(64-x²)dx
Twenty-five percent (25%) of 20 is equal to 5. Therefore, the company is planning or targeting to sell at least 25 cars next week. We let the number of cars be x. The inequality that best represent the scenario above is,
x ≥ 25
-6x because this expression represents the product of a negative number (-6) and a variable (x).
If the order does not matter, cars can be arranged in 20 ways
If an order is important, cars can be arranged in 120 ways
The probability that the three newest cars end up parked in the driveway is 0.167
1. If the order does not matter, combination is used

Here, n=6 r=3
using formula,we get

2. If an order is important, Permutation will be applicable

∴
3. the probability that the three newest cars end up parked in the driveway
P=
=
=
=
≈ 0.167
Hence, If the order does not matter, cars can be arranged in 20 ways
If an order is important, cars can be arranged in 120 ways
The probability that the three newest cars end up parked in the driveway is 0.167
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