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Sever21 [200]
3 years ago
9

8. Multiple Choice: Which equation is the factored form of x2 + 2x - 3 = 0?

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

X= 1

Y= -3

Factor and set each factor equal to 0

   

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the options can be eliminated by using common sense.

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A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is 4%. At the ch
ivolga24 [154]

Answer:

(a) 0.9412

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Denote the events a follows:

P = a person passes the security system

H = a person is a security hazard

Given:

P (H) = 0.04,\ P(P^{c}|H^{c})=0.02\ and\ P(P|H)=0.01

Then,

P(H^{c})=1-P(H)=1-0.04=0.96\\P(P|H^{c})=1-P(P|H)=1-0.02=0.98\\

(a)

Compute the probability that a person passes the security system using the total probability rule as follows:

The total probability rule states that: P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

The value of P (P) is:

P(P)=P(P|H)P(H)+P(P|H^{c})P(H^{c})\\=(0.01\times0.04)+(0.98\times0.96)\\=0.9412

Thus, the probability that a person passes the security system is 0.9412.

(b)

Compute the probability that a person who passes through the system is without any security problems as follows:

P(H^{c}|P)=\frac{P(P|H^{c})P(H^{c})}{P(P)} \\=\frac{0.98\times0.96}{0.9412} \\=0.9996\\\approx1

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.

7 0
3 years ago
Describe how you would use a yardstick to measure a rug
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Well first of this makes sense because you need to make sure your rug will fit.  So anyways, first lay your rug out on a flat surface, grab your yardstick, lay it on the rug to find the length and then the width.  you then know the size of your rug(assuming its square).  You can do the same thing in the room you want it in.  
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