Answer:
Step-by-step explanation:
For this case what you should know is that by definition the volume of the cone is given by:
V = ((pi) * (r ^ 2) * (h)) / (3)
Remembering that:
r = d / 2
Substituting the values:
V = ((pi) * ((d / 2) ^ 2) * (h)) / (3)
V = ((pi) * (((10) / 2) ^ 2) * (12)) / (3)
V = 314.16 ft ^ 3
Answer:
V = 314.16 ft ^ 3
The nearest option is:
300 cu. ft
Answer: 12 minutes
Step-by-step explanation:
Two rates for hoses A and B. FP is the Fish Pond.
A = 20 min/FP or (1/20)FP/min
B = 30 min/FP or (1/30)FP/min
The time in minutes, X, to fill one FP:
1FP = X*((1/20)FP/min) + X*((1/30)FP/min)
1FP = X*(1/20+1/30)FP/min
1FP = X*(2.5/30)FP/min
X = 12 minutes
Answer:
P(B)= 17/20
Step-by-step explanation:
The audience of the magic show is conformed by a total of 120 people, 52 of which are female and 68 are men.
Within the audience there is a school class of 37, of these students, 17 are female and 20 are male.
If a random member of the audience is selected as a volunteer:
Let "A" represent the event that "the selected volunteer is a student of the class"
And "B" the event that "the selected student is female"
You have to calculate the probability of the selected volunteer being female, given that it is a member of the school class.
Symbolically:
P(B|A)
Using the formula of conditional probabilities you can calculate it as:
P(A∩B)= =
As you can see the probability of the event "The volunteer is female given that it was a student of the school class" means that you already know the selected volunteer was a student and only needed to calculate the probability of that student being female.
P(B)= 17/20
I hope this helps
