Question3

If you could please show all the solutions Sir, thank you

Write an augmented matrix for the system of equations.

1) 9x + 5y = 49

2y = -2

Perform the indicated elementary row operation.

2)

Solve the system by using the Gauss-Jordan method.

3)

Solve the system by using the Gauss-Jordan method.

4) -4x - 3y = -5

8x + 6y = 8

Solve the problem.

5) The sales division of a company purchased type A cell phones for $95 each and type B cell phones for $110 each. It purchased a total of 18 cell phones at a total cost of $1815. How many types A cell phones did the division purchase?

Solve the problem.

6) The annual salaries of a software engineer and a project supervisor total $188,900. If the project supervisor makes $14,900 more than the software engineer, find each of their salaries.

Graph the linear inequality.

7) 5x + y ≤ -1

Graph the linear inequality.

8) 3x + 4 ≤ 10

Graph the feasible set of the system of linear inequalities.

9)

Graph the feasible set of the system of linear inequalities. Identify the ordered-pair “corner-points” that define the feasible region.

10) 3x + 2y ≤ 6

-2x + 4y ≤ 8

x ≥ 0, y ≥ 0

EXPECTED VALUE

11) A Texas oil drilling company has determined that it costs $25,000 to sink a test well. If oil is hit, the revenue for the company will be $500,000. If natural gas is found, the revenue will be $150,000. If the probability of hitting oil is 3% and of hitting gas is 6%, find the expected value of sinking a test well.

12) CONDITIONAL PROBABILITY

The following table shows the distribution of Democratic and Republican U.S. Senators by gender.

MALE(M)	FEMALE(F)	TOTAL
DEMOCRATS(D)	39	4	43
REPUBLICANS(R)	52	5	57
TOTALS	91	9	100

Use the table to determine the following probabilities:

a. P (M ∣ D)

b. P (D ∣ M)

c. P (F ∣ R)

d. P (R ∣ F)