We're given the following probabilities:
(a) Yes, 
and 
are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.
(b) Use the definition of conditional probability to expand:
(c) By the law of total probability,
(d) Bayes' theorem says
Answer:
<u>One Rectangular Pan</u>
Step-by-step explanation:
Part C cannot be answered since the dimensions of the pool are not given. Please check the question.
The cake pans may be compared by calculating the volume of each shape:
Rectangular pan: Volume = Length x Width x Height
Volume Rectangle = (13")*(9")*(2") = <u>234 in^3</u>
Round pan: Volume = 
Volume Round = (3.14)*(4")^2(2") = 100.5 in^3
Two round pans will hold 2*(100.5 in^3) or 201 in^3 of batter
One rectangular pan holds 234 in^3.
Go with the rectangular pan if you want more cake.
- 5 + 5x = - 1 + 6x
- 5 + 5 + 5x = - 1 + 5 + 6x
5x = 4 + 6x
5x - 6x = 6x - 6x + 4
- x = 4
x = - 4
Answer:
x = 10 and x = (-2) are the solutions.
Step-by-step explanation:
In the given equation (x - 4)² - 28 = 8
we will first find the zero factors which will further decide the number of solutions.
(x -4)² - 28 = 8
(x - 4)² -28 - 8 = 8 - 8 (By subtracting 8 on both the sides of the equation)
(x - 4)² - 36 = 0
(x - 4)²- 6² = 0
(x - 4 - 6)(x - 4 + 6) = 0
(x - 10)(x + 2) = 0
Now the equation only two zero factors or two solutions.
x = 10 and x = -2
Answer is two solutions only x = 10 and x = (-2)
X > -10 + 5
bring the five to the other side of the equation and change the sign in front
x > -5
