The graph shows the function f(x) = (2.5)^x was horizontally
2 answers:
Answer:
h must be equal to - 2.
Step-by-step explanation:
See the attached graph.
The original function ........... (1) is plotted in the graph denoted by the blue curve.
And the translated curve to the original function i.e. ............ (2) is plotted in the graph denoted by the red curve.
Now, the blue curve passes through the point (0,1) point and the red curve passes through the point (-2,1) point.
Therefore, the x-coordinate gets reduced by 2 units in the translated curve corresponding to a certain y-coordinate.
Therefore, h must be equal to - 2. (Answer)
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Answer:
(a) The probability that both Dave and Mike will show up is 0.25.
(b) The probability that at least one of them will show up is 0.75.
(c) The probability that neither Dave nor Mike will show up is 0.25.
Step-by-step explanation:
Denote the events as follows:
<em>D</em> = Dave will show up.
<em>M</em> = Mike will show up.
Given:
It is provided that the events of Dave of Mike showing up are independent of each other.
(a)
Compute the probability that both Dave and Mike will show up as follows:
Thus, the probability that both Dave and Mike will show up is 0.25.
(b)
Compute the probability that at least one of them will show up as follows:
P (At least one of them will show up) = 1 - P (Neither will show up)
Thus, the probability that at least one of them will show up is 0.75.
(c)
Compute the probability that neither Dave nor Mike will show up as follows:
Thus, the probability that neither Dave nor Mike will show up is 0.25.