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:
You will put 1220.83ft³ of water in the pool
Step-by-step explanation:
First of all we have to calculate the volume of the pool and then calculate 80% of that volume
radius = half of diameter
d = 18ft
r = 18ft / 2 = 9ft
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 6ft
π = 3.14
r = radius = 9ft
v = (π * r²) * h
we replace with the known values
v = (3.14 * (9ft)²) * 6ft
v = (3.14 * 81ft²) * 6ft
v = 254.34ft² * 6ft
v = 1526.04ft³
The volume of the cylinder is 1526.04ft³
If it is filled to 80% then we have to multiply the volume by 80/100
1526.04ft³ * 80/100 = 1220.83ft³
You will put 1220.83ft³ of water in the pool
Answer:
7 year old boys: 45-53 inches
7 year old girls: 45-52 inches
Since we are decreasing by 40%
The new value would be 100% - 40% = 60% of the value
New value = 60% of 800
= (60 / 100) * 800 = 480
Am giving you 480 as the answer.
Answer: 4.78
Step-by-step explanation:
add up all the cookies and then divide by his favorite.
