Answer:
Step-by-step explanation:
Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.
Firstly we will make PMF
For X=0, P=(4/5)^3=64/125
For X=1, P=C(3,1)*(1/5)*(4/5)^2=3*16/125=48/125
For X=2, P=C(3,2)*(1/5)^2*(4/5)=3*4/125=12/125
For X=3, P=C(3,3)*(1/5)^3=1/125
So,
E[X^2]=1*48/125+2^2*(12/125)+3^2/125=0.84
E[X]=48/125+12/125*2+1/125*3=0.6
So,
E[X]^2=0.36
Answer:
Not enough information as the amount of people isnt said
Step-by-step explanation:
Answer:
4y = 3x + 4
3x-4y = -4 is correct
Step-by-step explanation:
This is what we do.
We first express the first equation in the form;
y = mx + c
where m represents the slope of the line
Thus we have;
4y = 3x -7
divide through by 4
y = 3/4x -7/4
Thus the slope here is the coefficient of x which is 3/4
Now, since the lines are parallel, it means that their slopes are equal
So the slope of the other line too is 3/4
We now use the point slope form to find the equation of this other line
Mathematically, that would be;
y-y1 = m(x-x1)
where (x1,y1) = (-4,-2)
Substituting this into the point slope equation, we have;
y-(-2) = 3/4(x-(-4))
y + 2 = 3/4(x + 4)
Cross multiply
4y + 8 = 3x + 12
4y = 3x + 12-8
4y = 3x + 4
A) The area of the rectangle ABCD is base times height. 20in x 12in = 240 in sq.
B) The area of the triangle AED is base times height divided by two. (14in x 12in)/2 = 84in sq.
C) Figure EBCD is a right trapezoid (having one pair of parallel sides, while the others are slanted and forming a right angle).
D) Area of EBCD is the area of the rectangle minus the area of the triangle. 240in sq - 84in sq = 156in sq.
600.008 (why does this need to be 20 things long)
