First combine like terms and put the expression in standard form. This expression is now in simplest form and cannot be simplified anymore.
3a + 10ab - 7a^2b - 10ab^2 + 12ab - (-4) + (-a^2b) - 5a
-10ab^2 - 8a^2b -2a + 24ab - (-4)
Hope this helps
Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then
P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station
Answer:
67 1/2
Step-by-step explanation:
22 1/2*3
Answer:
The graph of the function 
has a minimum located at (4,-3)
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex of the parabola
If a > 0 the parabola open upward and the vertex is a minimum
If a < 0 the parabola open downward and the vertex is a maximum
In this problem
The coefficient a must be positive, because we need to find a minimum
therefore
Check the option C and the option D
Option C
we have
Convert to vertex form
Factor the leading coefficient
The vertex is the point (4,-3) ( is a minimum)
therefore
The graph of the function has a minimum located at (4,-3)
Answer:
<em>x = 12 in ; Type in 12 in the box</em>
Step-by-step explanation:
If we were to apply triangle formula ; 1/2 * base * height, we would see that length of height ⇒ 10 inches, and length of base ⇒ x inches,
Given an Area of 60 square inches let us substitute into the formula 1/2 * base * height and solve for x;
Area of Triangle = 1/2 * base * height,
60 in^2 = 1/2 * x in * 10 in ⇒ take 1/2 * 10,
60 in^2 = 5 in * x in ⇒ divide either side by 5 in,
12 in = x in ⇒ divide either side by inches,
x = 12 inches,
<em>Solution; x = 12 in</em>
