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hjlf
3 years ago
6

Please give the domain and range of this relation!

Mathematics
1 answer:
Georgia [21]3 years ago
3 0
Domain is how far left or right the x values go
range is how far up or down the y values go


domain is from -3 to 3
range is from -2 to 2

domain:
-3≤x≤3

range:
-2≤x≤2
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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
A password is 4 characters long and must consist of 3 letters and one number. if letters cannot be repeated and the password mus
sdas [7]

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

The possibility of selecting the password = 26 * 25 * 24 * 10 = 156000

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

Find out more on equation at: brainly.com/question/2972832

#SPJ4

7 0
2 years ago
I dont know this so please help me
Lemur [1.5K]

a is 3k^2

b is -12k

and c is 12

5 0
3 years ago
Read 2 more answers
. Round off the answer correctly.. . 8.7 g + 15.43 g + 19 g = 43.13 g   . . a. 43.130 g. b. 43.1 g. c. 43 g. d. None of the abov
arsen [322]
<span>Round off the answer correctly.. . 8.7 g + 15.43 g + 19 g = 43.13 g .
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3 0
3 years ago
Allan and Dave bowled together and their combined total score for one game was 375 points. Allen's score was 60 less than twice
boyakko [2]
315. You just need to take the total and subtract by 60.
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3 years ago
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