Answer: P(A and B) is greater than P(A)
P(A and B) should be smaller than P(A).
Step-by-step explanation:
Given : P(A and B) = 0.40
P(A) = 0.20
Using the given formula of the conditional probability will be
But we know that the probability of any event cannot be more than 1.
Also, the probability of the intersection must be less than the probability of individual event.
Thus , in the given question P(A and B) must be smaller than P(A).
Answer:
The function f(x) = ln(x - 4) is graphed the question options
Step-by-step explanation:
* Lets study the the information of the problem
- The graph of a logarithmic has a vertical asymptote at x=4
* That means the curve gets closer and closer to the vertical line x = 4
but does not cross it
- It contains the point (e+4, 1)
* That means if we substitute x = e + 4 in the equation the value
of y will be equal to 1
- It has an x-intercept of 5
* That means if we substitute y = 0 in the equation the value of x
will be equal to 5
* Lets find the right answer
∵ f(x) = ln(x - 4)
* To find the equation of the asymptote let x - 4 = 0
∵ x - 4 = 0
∴ x = 4
∴ f(x) has a vertical asymptote at x = 4
* Lets check the point (e + 4 , 1) lies on the graph of the f(x)
∵ x = e + 4
∴ f(e+4) = ln(e + 4 - 4) = ln(e)
∵ ln(e) = 1
∴ The point (e+4 , 1) lies on the graph of the function f(x)
* To find the x-intercept put y = 0
∵ f(x) = 0
∴ ln(x - 4) = 0
* Change the logarithmic function to the exponential function
- The base of the ln is e
∴ e^0 = x - 4
∵ e^0 = 1
∴ x - 4 = 1 ⇒ add 4 to the both sides
∴ x = 5
* The function f(x) = ln(x - 4) is graphed the question options
