The black graph is the graph of y=f(x). Choose the equation for the red graph. Please help me!!!
2 answers:
Answer:
B
Step-by-step explanation:
The red graph is a horizontal translation of 5 units left followed by a reflection in the x- axis.
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
The black graph is shifted 5 units left, thus
f(x) → f(x + 5)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note that the y- coordinate of the image is the negative of the original
Note also that = - y, thus
= f(x + 5) → B
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Answer:
The probability that the cell will be killed is 0.9328.
Step-by-step explanation:
We are given that five nanotubules are inserted in a single cancer cell. Independently of each other, they become exposed to near-infrared light with probabilities 0.2, 0.4, 0.3, 0.6, and 0.5.
Let the event that a cell is killed be 'A' and the event where the ith nanotubule kill the cell be ''.
This means that the cell will get killed if happens. This represents that the cell is killed if nanotubule 1 kills the cell, or nanotubule 2 kills the cell, and so on.
Here, P() = 0.2, P(
) = 0.4, P(
) = 0.3, P(
) = 0.6, P(
) = 0.5.
So, the probability that the cell will be killed is given by;
P(A)=
P(A) =
P(A) =
P(A) = 1 - 0.0672 = 0.9328
Hence, the probability that the cell will be killed is 0.9328.