Answer:
0.6421
Step-by-step explanation:
In this case we have 3 trials and we have 2 options for each one. The driver has or hasn't been under alcohol influence. The probability that the driver has is 0.29 and the probabiility that the driver hasn't is 1 - 0.29 = 0.71
each trial is independent because we are assuming that the population of drivers in between 21 and 25 years old is very big.
The probability that one of them was under alcohol influence can be found by finding the probability that non of them was under alcohol influence because:
1 = p(x = 0) + p(x ≥ 1)
p(x ≥ 1) = 1 - p(0)
The probability that none of them was under alcohol influence is going to be:
0.71×0.71×0.71 = 0.3579
The probability of finding at least one driver that has been under alcohol influence is:
0.6421
3 1/2 hours because Rodriquez graded one hour of papers and if his assistant grades the class papers in 4 1/2 hours, it should only take him 3 1/2 hours since Rodriquez helped with an hour of it
1/2 of 40 is 20, and the question says 1/4 of the REMAINING cookies, and 1/4 of 20 is 5. There are 3/4 left, or 15 cookies. I hope this helps!
Answer:1,4,5,2
Step-by-step explanation:
The main thing you want to ask yourself is "What is the difference between the two graphs?"
As we can see, the graphs look identical in every way except that g(x) is lower than f(x).
This means that the graph is shifted down a certain amount.
If we look at the y-intercepts of the two functions, we see that f(x) has a y-intercept of 1, and g(x) has a y-intercept of -1.
This means that f(x) is two units lower than g(x).
The y-intercept of a function can be changed by adding or subtracting a number to the original function (in this case 2^{x}).
Because the graph f(x) is 2 lower than the graph of g(x), we can find g(x) by subtracting 2 from f(x).
Therefore, g(x) = 2^{x} - 2.
