Answer:
64.65% probability of at least one injury commuting to work in the next 20 years
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Each day:
Bikes to work with probability 0.4.
If he bikes to work, 0.1 injuries per year.
Walks to work with probability 0.6.
If he walks to work, 0.02 injuries per year.
20 years.
So
Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So
We want 
. Then
In which
64.65% probability of at least one injury commuting to work in the next 20 years
Answer: Third option.
Step-by-step explanation:
By definition, Exponential functions have the following form:
Where "b" is the base (
and 
), "a" is a coefficient (
) and "x" is the exponent.
It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.
Then, for an input value 0 (
) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (
).
You can observe in the Third option shown in the image that when ,
Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.
Answer:
Option 3 is the correct answer.
Step-by-step explanation:
In this graph the red area is above the line y = -1 which represents y ≥ (-1)
Another graph is of a line y = mx + c which passes through (2, -1) and (0, 0)
where m = (y-y')/(x-x') = (1+0)/(0-2) = -1/2
and y intercept c = 0
Therefore line is y = -1/2x
and the blue area will be y ≤ -1/2x below the line.
Hence Option 3 is the answer.
The marked price of an article is 25% above its cost price when it is sold at a discount of 15%
Graph shows x at 6 and y at -2
