Step-by-step explanation:
There are four possible values of X: 0 rats show side effects, 1 rat shows side effects, 2 rats show side effects, or all 3 rats show side effects.
Probability X = 0:
P = (1 − 0.5) (1 − 0.4) (1 − 0.3)
P = 0.21
Probability X = 1:
P = (0.5) (1 − 0.4) (1 − 0.3) + (1 − 0.5) (0.4) (1 − 0.3) + (1 − 0.5) (1 − 0.4) (0.3)
P = 0.44
Probability X = 2:
P = (0.5) (0.4) (1 − 0.3) + (0.5) (1 − 0.4) (0.3) + (1 − 0.5) (0.4) (0.3)
P = 0.29
Probability X = 3:
P = (0.5) (0.4) (0.3)
P = 0.06
Answer:
x
Step-by-step explanation:
f(x) = (x-1)/3
g(x) = 3x+1
f(x) °g(x) =
Substitute g(x) in for x in the function f(x)
f(x) °g(x) = (g(x) -1)/3
= (3x+1 -1)/3
= 3x /3
=x
Answer: The answer is D. Trapezoid.
Step-by-step explanation: As shown in the attached figure, a rectangular pyramid ABCDE is drawn. We are slicing this rectangular pyramid parallel to the base BCDE at the points F, G, H and I.
We can clearly see from the figure that upper half of the sliced figure will be similar to the pyramid BCDE and the lower sliced figure will be a trapezoid. These are the three-dimensional figures.
Also, the sliced two-dimensional figure FGHI will be a rectangle, because
the pyramid is a rectangular one and so, FI=GH, FG=HI and all the angles are right angles.
Thus, the resulting two-dimensional figure will be a rectagle.
Finding an arc length requires knowing a bit about the geometry of a circle. Since the arc is a portion of the circumference, if you know what portion of 360 degrees the arc’s central angle is, you can easily find the length of the arc.
You have to understand the problem clearly before trying to answer the question. Only thing that needs to be done to answer the question is adding 5 with f(x). This will yield the required result.
g(x) = f(x) + 5
= (4x^2 - 8) + 5
= 4x^2 - 8 + 5
= 4x^2 - 3
I hope that this is the answer that you were looking for and the answer has actually come to your desired help.