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Natali5045456 [20]
3 years ago
8

Please help!!!!!

Mathematics
2 answers:
vampirchik [111]3 years ago
8 0

Answer:

Step-by-step explanation:

Consider the quadratic equation, we have

ax^2+bx+c=0

Dividing the equation by a, we get

x^2+\frac{b}{a}x+\frac{c}{a}=0

Put \frac{c}{a} on the other side,

x^2+\frac{b}{a}x=\frac{-c}{a}

Add (\frac{b}{2a})^2 on both the sides,

x^2+\frac{b}{a}x+(\frac{b}{2a})^2=\frac{-c}{a}+(\frac{b}{2a})^2

completing the square, we have

(x+\frac{b}{2a})^2=\frac{-c}{a}+(\frac{b}{2a})^2

Now, solving for x,

x+\frac{b}{2a}={\pm}\sqrt{\frac{-c}{a}+(\frac{b}{2a})^2}

x=\frac{-b}{2a}{\pm}\sqrt{\frac{-c}{a}+(\frac{b}{2a})^2}

Multiply right side by \frac{2a}{2a},

x=\frac{-b{\pm}\sqrt{b^2-4ac}}{2a}

which is the required quadratic formula.

astraxan [27]3 years ago
8 0
Finish square of ax2 + bx + c = 0 to get the Quadratic Formula. Then youDivide both sides of the equation by A, so the coefficient of x2 is 1. Write again so the left side is in form x2 + bx.
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Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work
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Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

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