Answer:The solution is in the attached file
Step-by-step explanation:
I believe the answer is C.
Answer:
(I suppose that we want to find the probability of first randomly drawing a red checker and after that randomly drawing a black checker)
We know that we have:
12 red checkers
12 black checkers.
A total of 24 checkers.
All of them are in a bag, and all of them have the same probability of being drawn.
Then the probability of randomly drawing a red checkers is equal to the quotient between the number of red checkers (12) and the total number of checkers (24)
p = 12/24 = 1/2
And the probability of now drawing a black checkers is calculated in the same way, as the quotient between the number of black checkers (12) and the total number of checkers (23 this time, because we have already drawn one)
q = 12/23
The joint probability is equal to the product between the two individual probabilities:
P = p*q = (1/2)*(12/23) = 0.261
T
Answer:
a) 50 degrees
b) 21 degrees
c) 64 degrees
d) 70 degrees
e) 105 degrees
Step-by-step explanation:
There are 6 faces in this prism. Each pair of opposite faces is two congruent faces.
The front and back faces have dimensions x by x + 4.
The right and left faces have dimensions x + 2 by x + 4.
The top and bottom faces have dimensions x by x + 2.
Let's find the area of each different face.
Front & back:
A = LW = x(x + 4) = x^2 + 4x
Right and left:
A = LW = (x + 2)(x + 4) = x^2 + 4x + 2x + 8 = x^2 + 6x + 8
Top & bottom:
A = LW = x(x + 2) = x^2 + 2x
Now we add the three areas:
x^2 + 4x + x^2 + 6x + 8 + x^2 + 2x =
=3x^2 + 12x + 8
The polynomial above is the sum of the areas of three different faces.
Each of the three different faces has a congruent opposite face with the same area, so we double this area to find the total surface area of all 6 faces.
2(3x^2 + 12x + 8) = 6x^2 + 24x + 16
The answer is option A.