Answer:
B
Step-by-step explanation:
To get probability of AT MOST 4 responses means all the probabilities Equal to or Less Than 4.
<u>From the table, that is probability of 0, 1, 2, 3 or 4</u>. <em>(OR in probability means adding)</em>
<em>Hence, we add the number of editorials for P=0,1,2,3, and 4 and then divide by total number of editorials.</em>
Answer choice B is right.
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue, y = (25 - x)(100 + 5x)Simplifying, y = 2500 + 25x - 5x²We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero. dy/dx = 0 = 25 - 10xThe value of x is 2.5. The price of the cake should be 25 - 2.5 = 22.5. Thus, the price of the cake that will give the maximum potential revenue is $22.5
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
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You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
You divide 3/50 which gives you 0.06. Multiply 0.06 by 100 and it is 6. The answer would be 6%.