Y = 5x - 13 ----------- (1)
5x + 2y = 19 --------- (2)
Sub (1) into (2):
5x + 2(5x -13) = 19
5x + 10x - 26 = 19
15x = 19 + 26
15x = 45
x = 3 -------- sub back into (1)
y = 5(3) - 13
y = 15 - 13
y = 2
Ans: x = 3, y = 2
Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) =
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) =
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) =
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability =
probability = 0.2517
22)
The formula for the area of a circle is:
π*radius^2
Input the information we already know:
π*5^2
Follow BEDMAS
π*25
=78.5398163
Since half of the circle is shaded, divide the area by 2
78.5398163/2
=39.2699081
The area of the shaded sector is 39.2699081 meters²