Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.
We're looking for a scalar function 
such that 
. That is,
Integrate the first equation with respect to 
:
Differentiate with respect to 
:
Integrate with respect to :
So 
is indeed conservative with the scalar potential function
where 
is an arbitrary constant.
Answer: White House tours are scheduled on a first come, first served basis and they must be requested a minimum of 21 days in advance of your visit. Requests can be submitted up to three months in advance. The earlier, the better as only a limited number of spaces are available.
Step-by-step explanation: u need to tour to get in
Answer:
D' (6, - 6 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply the coordinates of D by 3, that is
D (2, - 2 ) → D'(3 × 2, 3 × - 2 ) → D' (6, - 6 )
