What is the approximate diameter of a sphere with a volume of 900 cm ^3?
1 answer:
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Answer:
When you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3.
Step-by-step explanation:
The given function is .
So, for real zeros and x-intercept, the y-coordinate must be equal to zero.
Then it becomes
⇒ x - 2 = 1 {Since log 1 = 0}
⇒ x = 3
Therefore, when you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3. (Answer)
You just have to plug in each value of x into the equation of 3x^2. Since y is a function, it is also written as f(x)
Answer:
A. P(x>12 in 5 minutes)=0.0201
Step-by-step explanation:
Because we are working with a Poisson Distribution of probability, we need to get all the data needed. In a Poisson distribution is needed a constant called λ that symbolizes the mean data (6 calls) per unit of time (5 minutes), for this distribution λ=6/5.
Poisson probabilities work like this:
Remember y has to be an integer and the units of z must be the same unit of time used in λ. Now we are ready to solve this problem
A. The question is asking for the probability that in 5 minutes appear more calls than the phone-answering machine could answer (i.e P(x>12 in 5 minutes)). Because there are infinite numbers greater than 12, we are using this property of probabilities that´ll help us simplify the problem:
P(x>12 in 5 minutes)= 1 - P(x≤12 in 5 minutes)
Now we can use the following:
And you can find P(x=n in 5 minutes) for every n using a calculator or a computer, and finally add them to get
P(x≤12 in 5 minutes)= 0.9799
P(x>12 in 5 minutes)= 1-0.9799
This will be our answer
P(x>12 in 5 minutes)= 0.0201