Answer:
Intersection: {w, 7, y}
Union: {a, m, w, u, 7, y, g}
Step-by-step explanation:
The intersection of two or more sets are the elements they have in common, that means the elements that are in all the sets at the same time.
For example, "a" is in A but not in B, that's why is not in the intersection. On the other hand, "w" is in both sets, so it's in the intersection.
The union are all the elements that are in one set or the other, but we don't add the element twice if it's in both sets.
For example, "a" is in A so we add it to the union. "w" is in A so we add it to the union but it's also in B, we don't add it again because it is already in the union.
Answer:
Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.
Step-by-step explanation:
In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x for the sale of x video games
As we know profit = sale price - cost price
Therefore P(x) = R(x) - C(x)
Or P(x) = (R-C)x = 60x - (12+7x)
P(x) = 60x -12 - 7x
P(x) = 53x -12
Now the profit on selling 20 video games will be
P(20) = 53×20 -12 = 1060 -12 = 1048.
Answer:
y = -0.9x+10.1
Step-by-step explanation:
The equation of the line is:
You have been asked to stimate m and b. To do so, first find the product between each pair of x and y and the value of x squared:
Then calculate the total sum of all columns:
m can be calculated following the next equation:
where n is the number of (x, y) couples (5 in our case).
Replacing the values calculated previously:
For b:
In the figure attached you can see the points given and the stimated line.
Answer:
The manager should include 7 independent variables in her multiple regression analysis.
Step-by-step explanation:
Lets consider sales revenue to bethe dependent variable and, type of sport, color, and target audience, the categorical variables represented with dummy variables. Just remeber that one fewer dummy variables than the number of options in a category must be used, so, type of sport should be represented by: 3 - 1 = 2 dummy variables
color should be represented by 5 - 1 = 4 dummy variables, and
target audience should be represented by 2 - 1 = 1 dummy variables
This totalizes: 2 + 4 + 1 =7 independent variables.