A first number plus twice a second number is 1. Twice the first number plus the second totals 14. Find the numbers
2 answers:
Let's consider the first number to be and the second number to be
. Based on the information in the problem, we can create the following equations:
Now, we can solve the equations through systems of equations. One way of doing this is by multiplying one of the equations so that there is a term in both equations which can be removed by addition or subtraction. In our case, we can multiply the entire first equation by 2 to get:
Now, subtract from both equations to get:
Now that we have found , "plug" it back into an equation to find
:
Our answers are s = -4 and f = 9.
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Answer:
36
Step-by-step explanation:
Objective: Find missing dimensions of the right triangle using the then subtract that area of the triangle from the rectangle's area.
Using the definition of a rectangle, the left vertical side measure is 7 and right vertical side is 6. So the missing legs of the triangle is 4 and 3.
Apply triangle formula, base x height divided by 2.
Area of rectangle is length x width so the area is
Subtract 6 from 42.
Answer:
Option D -0.67
Step-by-step explanation:
Given : Preference of Brand A =30% ⇒
Preference of Brand B =70% ⇒
Prefer Brand A and are Female = 20% ⇒
Prefer Brand B and are Female = 40% ⇒
To find : Selected consumer is female, given that the person prefers Brand A
Solution : Using Bayes' theorem, which state that
where, P(A) and P(B) are probabilities of observing A and B.
P(B/A)= is a conditional probability where event B occur and A is true
P(A/B)= also a conditional probability where event A occur and B is true.
Now, applying Bayes' theorem,
Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67