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rodikova [14]
3 years ago
7

2x + 6 = x – 1 Real solutions

Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

x = -7

Step-by-step explanation:

2x+6 = x-1

add -6 to both sides

2x = x-7

add -x to both sides

x = -7

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Step-by-step explanation:

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Consider the system of equations shown below. y = negative 5 x + 1. y = negative 5 x + 10 When graphed, the system consists of t
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Step-by-step explanation:

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2 years ago
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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

(b) 0.9996 ≈ 1

Step-by-step explanation:

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
What is the amount, base, and percent in the expression.
Illusion [34]

Answer:

The correct answer is :

Amount: 2

Base: 100

Percent: 2%

Step-by-step explanation:

So, we get the answer by using whatever we know. The first step is that 2 is the percent because it is having the percent sign . In addition we know that 100 is the base. And the one which is left is 2 so it's the amount.

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