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Answer:
Therefore the probability that the marble is blue or even numbered is
Step-by-step explanation:
Probability: The ratio of favorable outcomes to the total outcomes.
It is denoted by P.
Given that a jar contains 8 red marbles and 7 blue marbles.
Total number of marbles = (8+7) = 15
Let A = Event of getting a blue marble
B= Event of getting of even marble.
Even number blue marbles are 2, 4,6
Even number red marbles are 2, 4,6,8
The number of even marbles are =(3+4)=7
The probability of getting a blue marble is P(A)
The probability of getting a even marble is P(B)
The probability of getting a even numbered blue marble P(A∩B)
P(blue marble or even- numbered)
=P(A∪B)
=P(A)+P(B)-P(A∩B)
Therefore the probability that the marble is blue or even numbered is
Answer:f(x)= -8 (4x) will be the reflected function across x-axis for the function g(x).
Explanation: since we know that the image or reflection of x along x-axis = -x
That is, when we talk about a function's reflection across any axis then we have to replace variable according to that axis. For example if you have a line x=3 in positive x-axis then you can also draw a similar line x=-3 in negative x-axis. so, you can say, x=-3 is the reflection of x=3 along x axis.
Similarly, for an another line y=3, y=-3 is a reflection.
thus in the case of g(x) we can find the reflection across x-axis after replacing x by -x.
we have g(x) =8(4x)
replace x by -x we get g(-x)= 8(4×-x)= 8(-4x)=-8(4x)
so -8(4x) is the reflection of g(x)
but according to the question f(x) is the reflection of g(x) across x-axis.
Thus, f(x)=-8(4x)
