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
A whole pizza has 3 x 1/3 pizzas.
So if you eat 3 of 5, 2 pizza lefts.
If you eat 1/3 from 2 pizzas, 1 and 2/3 pizzas left.
Hope this help. :)
<h2><u>Answer:</u></h2>
x=(nπ/2)±15
x=(2nπ+90)/3
x=90-2nπ
<h2><u>Steps:</u></h2>
cos3x+sin2x-sin6x+cos5x=0
(cos3x+cos5x)+(sin2x-sin6x)=0
equation(1)
<u>Use formula:</u>
<u>So in equation (1),if c=3x ,d=5x,C=2x,D=6x</u>
》2cos{(c+d)/2}.cos{(c-d)/2}+2cos{(C+D)/2}.sin{(C-D)/2}=0
》2cos{(3x+5x)/2}.cos{(3x-5x)/2}+2cos{(2x+6x)/2}.sin{(2x-6x)/2}=0
》2cos(4x).cos(-x)+2cos(4x).sin(-2x)=0
》2cos(4x)[cos(-x)+sin(-2x)]=0
》2cos(4x)[cos(x)-sin(2x)]=0
<u>1)</u><u> </u><u>Either:</u>
2cos(4x)=0
cos(4x)=0/2
cos(4x)=0
cos(4x)=cos(90)
General solution for such case is:X=2n±a
So,
4x=2nπ±90
x=(2nπ±90)/4
x=(nπ/2)±15
<u>2) Or:</u>
cos(x)-sin(2x)=0
cos(x)=sin(2x)
General solution for such case is:X=2n±a
So,
x=2nπ±(90-2x)
x=2nπ±90±2x
x±2x=2nπ±90
<u>Take +ve sign,</u>
x+2x=2nπ+90
3x=2nπ+90
x=(2nπ+90)/3
<u>Take -ve sign,</u>
x-2x=2nπ-90
-x=2nπ-90
x=(2nπ-90)/(-1)
x=90-2nπ
Answer:
A. True
B. False
C. False
D. False
Step-by-step explanation:
