we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
----------> the value of A is
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
therefore
the answer is
the value of A is
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following information:
First three hours of typhoon: rate of Rainfall. = 25mm per hour
Typhoon slows down for an hour : then Rainfall began again at a constant rate of 20 mm per hour for the next 2 hours
Piecewise function which models Rainfall ad a function of time
Amount of Rainfall as a function of time = f(t)
f(t) = 25t ; if t≤ 3
When typhoon slowed down for an hour :
f(t) = 0;
f(t) = 25*3 ; for t ∈ (3, 4)
Then Rainfall at a constant rate of 20mm for another 2 hours
f(t) = (25 *3) + 20(t - 4) ; for t ∈ (5, 6)
Answer:
The probability that of the two chips selected both are defective is 0.1089.
Step-by-step explanation:
Let <em>X</em> = number of defective chips.
It is provided that there are 2 defective chips among 6 chips.
The probability of selecting a defective chip is:
A sample of <em>n</em> = 2 chips are selected.
The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 2 and <em>p</em> = 0.33.
The probability function of a Binomial distribution is:
Compute the probability that of the two chips selected both are defective as follows:
Thus, the probability that of the two chips selected both are defective is 0.1089.
The sample space of selecting two chips is:
S = (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5)