Answer:
fh. = 40h + 120, fh. = $200
200 = 40h + 120
200 - 120 = 40h
80 = 40h
80/40 = h
2 = h
h = 2 hours.
Step-by-step explanation:
Answer:
A triangular prism is 1/2 the volume of a rectangular prism with the same dimensions.
V = BH (Base x Width) of a triangular its 1/2BH
The base is 10 x 5, 50 is the base.
The height is 6, and that would be 300 / 2 since it's triangular so its 150 inches squared for one. Since there are 2.
The total volume is 300 inches squared.
Step-by-step explanation:
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%
Answer:
A = 24t² + 2t
Step-by-step explanation:
The shaded area (A) is calculated as
A = area of outer square - area of rectangle
= (5t)² - t(t - 2)
= 25t² - t² + 2t
= 24t² + 2t
