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Ratling [72]
4 years ago
9

At the airport entry​ sites, a computer is used to randomly decide whether a​ traveler's baggage should be opened for inspection

. If the chance of being selected is 1313​%, can you model your chance of having your baggage opened with a Bernoulli​ model? Check each of the conditions specifically. Trials are Bernoulli if the following three conditions are met. 1. There are only two possible outcomes​ (called success and​ failure) for each trial. 2. The probability of​ success, denoted​ p, is the same on every trial. 3. The trials are independent. Let the act of inspecting a baggage be a trial. Are there only two possible​ outcomes?
Mathematics
1 answer:
Lilit [14]4 years ago
3 0

Answer:

Yes, you can model using Bernoulli model and Yes there are only 2 possible outcomes.

Step-by-step explanation:

Checking Conditions:

1. There are only 2 possible outcomes

You either open a bag for inspection OR you don't

2. The probability of success (opening a bag) is 12% regardless of how many trials there are. THe probability doesn't change later or sooner.

3. The trials are independent of each other. It doesn't matter whether the previous person's bag was opened or not. Doesn't depend on previous event that happened. So trials are independent.

Thus, we can use a Bernoulli Model here.

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Help please! The problem is in the photo.
olya-2409 [2.1K]

Answer:

f(-3) = 7

Step-by-step explanation:

For these types of questions, you need to replace the x's in the equation with whatever is inside f(x)

So if its f(5) you would sub 5 into where all the x's are

5 0
4 years ago
Which of the following is a solution to the equation 2/3x + 16 = -14?
Gala2k [10]
2/3x+16=-14
        -16  -16
2/3x=-30
  *3    *3
2x=-90
 /2    /2
x=-45

Hope this helped :)

7 0
4 years ago
The triangles shown below must be congruent.
leonid [27]
These triangles are congruent by AAS condition hence the statement is true
7 0
3 years ago
Read 2 more answers
Help me solve this! Can’t figure out how to set up the equation.
Katarina [22]

Answer: GF = 7. Answer choice C

Step-by-step explanation:

The triangles are similar, meaning their angles and sides are proportional. You can use ratios to solve this. Find out what all the sides are. I used variables to represent the side lengths because we don’t know how long they are.

Step 1) Find side IG. Because we don’t know it, we can just use a variable. I used “y”.

Step 2) Find side GH. GH is the same length as IG, so we can use the same variable.

Step 3) find side IH by adding IG to GH. This gives us y + y, which equals 2y. We can label side IH with 2y.

Step 4) find side IF. I used the variable “a” because we don’t know side IF. Side FJ is the same length as IF, so we can label it “a” too.

Step 5) find side IJ.

IJ is IF + FJ.

IF = a. FJ = a.

So IJ = a + a. IJ = 2a.

Now we know the all the sides of both triangles.

Step 6) set up fractions of the sides of the triangles. Put a side from triangle IHJ in the numerator and a side from triangle IGF on the denominator. You have to match up the sides, though.

Side IH should go over IG. IJ/IF. HJ/GF

IH/IG = 2y/y

IJ/IF = 2a/a

HJ/GF = (4x-2)/(x + 3)

Step 7) make an equation if these fractions. They are all equal to each other.

2y/y = 2a/a = (4x-2)/(x + 3)

Step 8) simplify the fractions

2 = 2 = (4x-2)/(x+3)

FYI you don’t have to write 2=2, you can just write one 2. So it would be: 2 = (4x-2)/(x+3)

Step 9) factor (4x-2)

4x and -2 are both divisible by 2, so we can factor out 2.

This gives us: 2(2x-1)

We can’t factor (x+3).

Now the fraction is: 2(2x-1)/(x+3)

Step 10) rewrite the equation

2(2x-1)/(x+3) = 2

Step 11) Solve this equation.

You will end up with: x = 4

Step 12) Find side GF

GF = x + 3

Plug in 4 for x (because x = 4)

GF = 4 + 3

GF = 7

8 0
3 years ago
Which of the following points is an equal distance (equidistant) from A(0, −4) and B(−2, 0)?
joja [24]

Answer:

Point N(3,0) is equidistant from A and B.

Step-by-step explanation:

In order to check whether the point is equidistant from A and B, it is required to measure the distance of A and B from each point. The formula for distance is:

d= √((x_2-x_(1))^2+(y_2-y_(1))^2 )

For J

AJ= √((-4-0)^2+(-5+4)^2 )

=√((-4)^2+(-1)^2 )

= √(16+1)

= √17  units

BJ=√((-4+2)^2+(-5-0)^2 )

=√((-2)^2+(-5)^2 )

= √(4+25)

= √29  units

Point J is not equidistant from A and B.

For K

AK= √((-3-0)^2+(0+4)^2 )

=√((-3)^2+(4)^2 )

= √(9+16)

= √25  units

=5

BK=√((-3+2)^2+(0-0)^2 )

=√((-1)^2+(0)^2 )

= √(1+0)

= √1  

=1 unit

Point K is not equidistant from A and B.

For M

AM= √((0-0)^2+(0+4)^2 )

=√((0)^2+(4)^2 )

= √(0+16)

= √16

=4 units  

BM=√((0+2)^2+(0-0)^2 )

=√((2)^2+(0)^2 )

= √(4+0)

= √4  

=2 units

Point M is not equidistant from A and B.

For N

AN= √((3-0)^2+(0+4)^2 )

=√((3)^2+(4)^2 )

= √(9+16)

= √25

=5 units

BN=√((3+2)^2+(0-0)^2 )

=√((5)^2+(0)^2 )

= √(25+0)

= √25  

=5 units

As point N's distance is equal from A and B, Point N is equidistant from A and B.

.

6 0
4 years ago
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