9 games
You can get this by multiplying each percentage by the total number of games to see what they have to expect.
.55*180 = 99 games (red team)
.60*180 = 108 games (blue team)
Now subtract the blue team expectation from the red team.
108 - 99 = 9 games.
4 cannot go into 23 equally BUT! if you do 23 divided by 4 you'll get 5.75 which rounds up to 6. So on average she'll need 6 bowls for her 23 strawberries.
Edit: It should be 5 bowls because if she wants to put an equal amount of strawberries into her bowls it should be 5.
Hope it helped. :)
<em>~Noodles~</em>
Answer:
The series is absolutely convergent.
Step-by-step explanation:
By ratio test, we find the limit as n approaches infinity of
|[a_(n+1)]/a_n|
a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)
a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)
[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]
= |-3n³/2(n+1)³|
= 3n³/2(n+1)³
= (3/2)[1/(1 + 1/n)³]
Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity
= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity
= 3/2 × 1
= 3/2
The series is therefore, absolutely convergent, and the limit is 3/2
Answer:
Linear systems are systems of equations in which the variables are never multiplied with each other but only with constants and then summed up
7/3 IS an improper fraction 2 1/3 is a mixed number
