Answer:
(E) None of these above are true.
Step-by-step explanation:
Married = 74% or 0.74
College graduates = 42% or 0.42
pr(married | college graduates) = 0.56
(A) These events are pairwise disjoint. This is false. Pairwise disjoint are also known as mutually exclusive events. Here we can see that both events are occurring at same time.
(B) These events are independent events. This is also false.
(C) These events are both independent and pairwise disjoint. False
(D) A worker is either married or a college graduate always. False
Here Probability(A or B) shall be 1
= Pr(A) + Pr(B) - Pr( A and B) = 0.74 + 0.42 - 0.56 * 0.42 = 0.9248
This is not equal to 1.
(E) None of these above are true. This is true.
Answer:
sqrt(146)
Step-by-step explanation:
The distance between these two points can be the hypotenuse of our right triangle.
We can create a right triangle with two legs of length 11 and 5. To solve for the hypotenuse, we apply the pythagorean theorem
sqrt(5^2+11^2)=sqrt(146)
I attached a graph to help you visualize the triangle and how it works.
Answer:
The answer is C. An absolute value will never have a negative in it.
Step-by-step explanation:
Answer:
a = 4 + -1.333333333b
Step-by-step explanation:
Simplifying
3a + 4b = 12
Solving
3a + 4b = 12
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-4b' to each side of the equation.
3a + 4b + -4b = 12 + -4b
Combine like terms: 4b + -4b = 0
3a + 0 = 12 + -4b
3a = 12 + -4b
Divide each side by '3'.
a = 4 + -1.333333333b
Simplifying
a = 4 + -1.333333333b
