Answer:
56
Step-by-step explanation:
80 x (7 / 10) = 56
I think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:
y= 1+v^2
so
dy= 2v
and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
(1/2) (In y)finally you plug in the initial variables:
(1/2)(In [1+v^2])
so the total integral is:
ArcTan (y) + (1/2)(In [1+v^2])
Answer:
0.15
Step-by-step explanation:
Without Mincing words let us dive straight into the solution to the question above. We are given the following information which is going to aid in solving this particular question.
====> It is given, that there are 5 white balls and 10 red balls. Hence, the number of the total balls = 5 white balls + 10 red balls = 15 balls.
Therefore, the probability that 5 randomly selected balls contain exactly 3 white balls = ![\left[\begin{array}{ccc}5\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
× ![\left[\begin{array}{ccc}10\\2&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%5C%5C2%26%5Cend%7Barray%7D%5Cright%5D)
÷ ![\left[\begin{array}{ccc}15\\3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D15%5C%5C3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= 450 ÷ 3003 = 0.15
Answer:
400
Step-by-step explanation:
Step-by-step explanation:
s1 = 300
s2 = s1 × 2 = 300 × 2 = 600
s3 = s2 × 2 = s1 × 2² = 1200
sn = sn-1 × 2 = s1 × 2^(n-1)
s7 = 300 × 2⁶ = 300 × 64 = 19,200
