Out of the 20 contestants in the state math championships, 10 are girls. For this round, each contestant gets asked one question. The first question goes to a randomly chosen contestant. A. What is the probability that the first contestant is a girl?

B. If the first contestant is a girl, what is the probability that the second contestant is a girl?

C. Is the probability that the second contestant is a girl independent of the first contestant being a girl?

2x^2+5x+17

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step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.