Answer:
The answer to your question is given in the attached photo.
Step-by-step explanation:
To determine the answer to the question,
First, we shall determine the value 3A.
This is obtained by multiplying matrix A by 3 as shown in the attached photo.
Next, we shall carry out the operation 3A – B as shown in the attached photo.
Answer:
40%
Step-by-step explanation:
Probability that student is a male Given that it's a senior ::
Recall :
P(A | B) = (AnB) / B
Hence, we have ;
P(male | Senior) = number of (Male n Senior) / total Senoirs
From the table :
Total seniors = 2 + 3 = 5
Male n Seniors = 2
P(male | Senior) = 2 / 5 = 0.4 = 40%
Answer:
x=10, y=-1
Step-by-step explanation:
The coefficients of y are opposites, so the y-variable can be eliminated by adding the two equations.
... (x -y) +(2x +y) = (11) +(19)
... 3x = 30 . . . . . simplify
... x = 10 . . . . . . .divide by the coefficient of x
Use either equation to find y. We can use the first one, for example:
... 10 -y = 11
... -1 = y . . . . . add y-11
The solution is (x, y) = (10, -1).
Get it in form 4P(y-k)=(x-h)^2
add 8y to both sides
x^2-6x+49=8y
complete the square
-6/3=-3, (-3)^2=9
(x^2-6x+9)+40=8y
(x-3)^2+40=8y
minus 40 both sides
(x-3)^2=8y-40
undistribute 8 on right side
(x-3)^2=(y-5)8
4P(y-k)=(x-h)^2
4(2)(y-5)=(x-3)^2
(h,k) is center
p is distance from vertex to directix and also from vertex to focus
p=2
vertex=(3,5)
in that form, the prabola opens up so
directix is 2 below vertex
focus is 2 above vertex
up and down is y so
5-2=3
5+2=7
directix is y=3
focus=(3,7)
vertex=(3,5)
Answer:
31 i think
155.3 divided by 5 is equal to 31
