What is the inverse of the function f(x) = x + 2?
1 answer:
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Answer:
a) (1,2), (1,3), (1,4), (1,5), (2,3), (2,4),(2,5),(3,4), (3,5) and (4,5)
b)
PX(0) = 0.3
PX(1) = 0.6
PX(2) = 0.1
c)
- F(x) = 0 if x<0
- F(x) = 0.3 if 0 ≤ x < 1
- F(x) = 0.9 if 1 ≤ x < 2
- F(x) = 1 if x ≥2
Step-by-step explanation:
Lets call the boards 1,2,3,4 and 5
a) There are possible outcomes: (1,2), (1,3), (1,4), (1,5), (2,3), (2,4),(2,5),(3,4), (3,5) and (4,5).
b) X is 0 if the selected boards doesnt contain 1 or 2. There are possibilities for this, in concrete, (3,4), (3,5) and (4,5).
PX(0) = 3/10 = 0.3
There is only 1 possibility so that X = 2, which is (1,2), therefore
PX(2) = 1/10 = 0.1
In any other case (there are 6 remaining), X will be equal to 1, so
PX(1) = 6/10 = 0.6
Therefore, X has the following distribution
PX(0) = 0.3
PX(1) = 0.6
PX(2) = 0.1
c) F(0) = 0.3
F(1) = 0.3+0.6 = 0.9
F(2) = 1
We have, as a consequence
- F(x) = 0 if x<0
- F(x) = 0.3 if 0 ≤ x < 1
- F(x) = 0.9 if 1 ≤ x < 2
- F(x) = 1 if x ≥2
Answer:
A*B=
Step-by-step explanation:
Given A= = B
Finding A*B means multiplying the first row with the first column and first row with the second column would give the first row elements. The second ro0w elements are obtained by multiplying the second row with the 1st column and second row with the second column.
so A*B=
Now multiply and add the separate elements of the matrix A*B=
A*B=
b. The 1st element of the 1st row shows the salaries of the managers and 2nd element of the 1st row the salaries of associates at the restaurant . The second row 1 st element shows the benefits of the managers and 2nd element the benefits of the associates at the food truck.
c. The total cost of salaries for all employees (managers and associates) at the restaurant = 705 + 80 = 785
Total cost of benefits for all employees at the food truck= 121 + 14= 135