The graph is of a function in the form p(t)=a*b^t. What is the function.
1 answer:
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A keypad at the entrance of a building has 10 buttons labeled 0 through 9. What is the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat?
Answer:
the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat is 0.1
Step-by-step explanation:
We know that probability= number of required outcomes /number of all possible outcome.
From the given information;
the number of required outcome is guessing a 9-digit = 1 outcome
the number of all possible outcome = ¹⁰C₉ since there are 10 numbers and 9 number are to be selected.
Since there are only 9-digit that opens the lock;
the probability of a person correctly guessing a 9-digit entry code is
P = 0.1
Answer:
Option D. (0, 2)
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value
b is the base
r is the rate of change
In this problem
a=2 ---> the initial value ( value of the function when the value of x is equal to zero)
b=3
b=1+r ----> 3=1+r ----> r=2 ---> r=200%
Remember that
The initial value of the function is equal to the y-intercept
The initial value is the point (0,2)
therefore
The y-intercept is the point (0,2)