Answer:
256π/3 cm³
Step-by-step explanation:
d = 2r => r = d/2 = 4cm/2 = 2 cm
V(sphere) = 4π·r³/3
= 4π·64/3 cm³
= 256π/3 cm³
The house wall, the ground and the ladder form a right triangle, where the ladder is the hypotenuse.
Ladder = sqrt (25^2+10^2) =5sqrt(29)
Answer:
61 + n = 82
Step-by-step explanation:
So the total number of candy is 82. This is the sum of each type of candy, i.e. 18 + 24 + 19 + n. So we have
18 + 24 + 19 + n = 82
61 + n = 82
( if we solve the equation we get n = 82 - 61 = 21)
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Answer:
First derivative the equation
39x²-318x-412=0
then use the quadratic formula
then x = 9.29 or x = -1.14
Answer:
There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
Desired outcomes:
The number of male nannies selected. 24 of the nannies placed were men. So the number of desired outcomes is 24.
Total outcomes:
The number of nannies selected. 4,176 nannies were placed in a job in a given year. So the number of total outcomes 4176.
Find the probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").