Answer: 6.824%
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1) For the expected number in 200 restaurants where exactly 8 customers use the drive-through, it is 20.66. Similarly, for exactly 9 customers, the expected count is 13.76. To compute these expectations, we utilize the Poisson distribution which defines the success probability X, considering a certain operational rate for the drive-through services during specified times.
Triangle XYZ is an equilateral triangle, meaning the sector's central angle measures 120 degrees, which is equivalent to 2π/3 radians. To find the area of a sector corresponding to a central angle β, we use the formula A = (1/2)r²*β, where β is expressed in radians. For this sector, the area calculation is A = (1/2)*2²*(2π/3) = 4π/3 square units.
Problem: H<span>ow many months will it take for the membership to attain 300 members?
</span>Current: 140 members
6% increase each month
Target: 300 members
Approach: Utilize multiplication and division
Solution: To find the number of new members each month,
140 x 0.06 = 8.4, rounded to 9 (since we count individuals)
To find the total months, divide 300 (the goal) by the
number of new members per month.
300 / 9 = 33.333 months. Round 33 up to 34, since we seek the total months to hit the target of 300 members.
Answer: 34 months
