Answer:
20 ways
Step-by-step explanation:
6C3 = 6!/(3! * (6-3)!)
= (6*5*4*3*2*1)/(3*2*1*(3)!)
= (6*5*4) / (3 * 2 * 1)
= (6*5*4)/6
= 5 *4
= 20 ways
The number of ways to pick 3 items not to take out of a total of 6 is 20.
To find the number of ways to pick 3 items not to take out of a total of 6, we can use the combination formula. The formula for combinations is given by C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen. In this case, n = 6 and r = 3. Plugging in these values, we get:
C(6, 3) = 6! / (3!(6-3)!) = 6! / (3!3!) = (6 * 5 * 4) / (3 * 2 * 1) = 20.
So, there are 20 different ways to pick 3 items not to take out of a total of 6.
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Answer:
0.4 is correct
Step-by-step explanation:
Why?
The liters of milk remaining in the tank after leaking for t weeks is represented by an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent.
The function that represents the liters of milk remaining in the tank after leaking for t weeks is an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent. In this case, the liters of milk lost each week is constant, so the amount of milk remaining in the tank is decreasing exponentially over time.
Formula for exponential decay: M = P * (1 - r)^t, where M is the amount of milk remaining, P is the initial amount of milk, r is the rate of decay, and t is the number of weeks.
In this case, the initial amount of milk, P, is 600 liters and the rate of decay, r, is 60/600 = 0.1 (10%). So the exponential function that represents the liters of milk remaining after t weeks is M = 600 * (1 - 0.1)^t.
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