Answer:
(a) 0.198 cm/s (b) 1 cm/s
Step-by-step explanation:
It is given that,
The rate of change of area of a cicle,
(a) The area of a circle is given by :
Differentiate both sides,
(b) Circumference, = 5 cm
Hence,
(a) 0.198 cm/s (b) 1 cm/s
Answer:
Product 3
Step-by-step explanation:
You can easily find it out based on the last column (Year 3)... where product 3 has the highest market value.
This is very logical due to exponential nature of the price evolution function... it might start lower than most of the other products, but it will grow at a much faster rate... so much that in second year, it's already tie for the most market value.
In year 3, the difference is obvious and it would be even bigger in the following years.
The midpoint formula is x1+x2 over 2 and y1+y2 over 2. When you use it to find the midpoint of (0,-8) and (-4,10), you get (-2,1).
Slope formula is y2-y1 over x2-x1, which will give you -6.
Answer:
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that the selection of the random pages will contain at least two errors is 0.2644
Step-by-step explanation:
From the information given:
Let q represent the no of typographical errors.
Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let be the random variable that follows a Poisson distribution, then mean
and the mean that the random selection of 50 pages will contain no error is
∴
Pr(q =0) = 0.368
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that 50 randomly page contains at least 2 errors is computed as follows:
P(X ≥ 2) = 1 - P( X < 2)
P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )] since it is less than 2
P(X ≥ 2) = 0.2644
The probability that the selection of the random pages will contain at least two errors is 0.2644