Which is the better buy a 3 pound ham for $5.70 or 5 pounds for $8.75
2 answers:
You might be interested in
Answer:
We conclude that the rule for the table in terms of x and y is:
- y = 3x+2
Step-by-step explanation:
The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.
We know the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept.
Taking two points
- (-2, -4)
- (-1, -1)
Finding the slope between (-2, -4) and (-1, -1)
We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.
Taking another point (0, 2) from the table.
It means at x = 0, y = 2.
Thus, the y-intercept b = 2
Using the slope-intercept form of the linear line function
y = mx+b
substituting m = 3 and b = 2
y = 3x+2
Therefore, we conclude that the rule for the table in terms of x and y is:
- y = 3x+2
The graph is attached and the answer to the function g(x) = (1/3)x²
Option A is the right answer.
<h3>What is a Function ?</h3>A function is a mathematical statement that relates a dependent variable and an independent variable.
It is given that
f(x) = x²
It has been asked to determine the equation of g(x)
It can be seen from the graph the the vertex is same just the graph is scaled.
The point (3,3) is of g(x) , when the value of y at at x =3 is 9
Therefore the scale factor is 1/3
And we can do trial and error on the basis of the options given ,
The graph is attached and the answer to the function g(x) = (1/3)x²
Option A is the right answer.
To know more about Function
#SPJ1
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