27.034%
Let's define the function P(x) for the probability of getting a parking space exactly x times over a 9 month period. it would be:
P(x) = (0.3^x)(0.7^(9-x))*9!/(x!(9-x)!)
Let me explain the above. The raising of (0.3^x)(0.7^(9-x)) is the probability of getting exactly x successes and 9-x failures. Then we shuffle them in the 9! possible arrangements. But since we can't tell the differences between successes, we divide by the x! different ways of arranging the successes. And since we can't distinguish between the different failures, we divide by the (9-x)! different ways of arranging those failures as well. So P(4) = 0.171532242 meaning that there's a 17.153% chance of getting a parking space exactly 4 times.
Now all we need to do is calculate the sum of P(x) for x ranging from 4 to 9.
So
P(4) = 0.171532242
P(5) = 0.073513818
P(6) = 0.021003948
P(7) = 0.003857868
P(8) = 0.000413343
P(9) = 0.000019683
And
0.171532242 + 0.073513818 + 0.021003948 + 0.003857868 + 0.000413343
+ 0.000019683 = 0.270340902
So the probability of getting a parking space at least four out of the nine months is 27.034%
It took her 4 hours.
Since she travels 50 miles in just one hour, in four hours she could drive 200 miles. :)
To find f(g(x)), plug g(x) into f(x) and simplify.
f(x/2) = 2 - 1/(x/2)
All you have to do is simplify the right side of the equation.
Take it from here.
Answer:
5, 1 , -3 ,-7
Step-by-step explanation:
When x = -1
y = - 4 * (-1) + 1
= 4 + 1
= 5
When x = 0
y = - 4 * 0 + 1
= 0+ 1
= 1
When x = 1
y = - 4 *1 + 1
= - 4 + 1
= - 3
When x = 2
y = -4 * 2 + 1
= - 8 + 1
= - 7
