Answer:
28.26 cm^2
Step-by-step explanation:
Mathematically, we have the area of a sector as;
theta/360 * pi * r^2
theta is the angle subtended at the center of the circle by the sector which is 90 degrees
r is the radius of the circle given as 6 cm
Substituting these values;
90/360 * 3.14 * 6^2 = 28.26 cm^2
Answer:
20
Step-by-step explanation:
Once you give 1 candy to each of the 4 kids, you will have 3 remaining. The number of ways those can be distributed to 4 kids is given by ...
(n+k-1)C(n)
where n is the number of candies, and k is the number of kids. "aCb" is the number of ways a can be taken b at a time:
aCb = a!/(b!(a-b)!)
For n=3 and k=4, this is ...
(3+4-1)C(3) = 6C3 = 6!/(3!·3!) = 20
There are 20 ways to distribute 7 candies to 4 kids so that each kid receives at least one.
Since the ratio of mother to daughter is 4:1, the weight of the mother and daughter together is five times the weight of the daughter.
In fact, if the daughter weights 
pound, the mother weights 
pounds, and the total weight is 
.
We know that this total is 185 pounds, so we have
So, the daughter weights 37 pounds.
Answer:
The answer is "0.0547".
Step-by-step explanation:
Using the binomial distribution:
Calculating the excel formula:
