An airport has an electronic system that randomly selects bags for extra security screening. Each bag has a 14% percent probability of being selected for extra screening, and one bag being selected or not doesn't affect whether or not another bag will be selected. Suppose that 222 bags go through the system, one after the other. What is the probability that both bags are selected for extra screening? Round your answer to two decimal places.

Answers

Answer 1

Probabilities are used to determine the chances of an event.

The probability that the two bags are selected for extra screening is 0.02

The given parameters are:

[tex]n = 2[/tex] --- number of bags

[tex]p = 14\%[/tex] --- the probability that a bag is selected for extra screening

The probability that the two bags are selected for extra screening is:

[tex]P(2) = p^n[/tex]

So, we have:

[tex]P(2) = (14\%)^2[/tex]

Express percentage as decimal

[tex]P(2) = (0.14)^2[/tex]

[tex]P(2) = 0.0196[/tex]

Approximate

[tex]P(2) = 0.02[/tex]

Hence, the required probability is 0.02

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Answer 2

Answer:

0.02 i did khan academy pls mark brainliest

Step-by-step explanation:


Related Questions

At my birthday party, the girls ate 3 1/2 pizzas and the boys at 5 1/4 pizzas. How much more pizza did the boys eat than the girls?​

Answers

1 3/4 more than the girls

Answer:

2 1/4 pizzas

Step-by-step explanation: 5 - 3 =2 so put 2 then 1/2-1/4= 1/4 so 2 1/4

For a experimental to produce useful data, what must happen

Answers

Answer:

cr qe deobpaase r

Step-by-step explanation:

also this question pls hurry with this i ready question you will be awarded 100

Answers

Answer:

1 hour equals 18 bucks

144 divided by 18 equals 8 so she works for 8 hours to get 144 bucks

Step-by-step explanation:

144 divided by 18 equals 8

Jackson bought an ultra-slim Television. The screen measures 13 cm in length and 12 cm in width. Television screen sizes are decided by the length of the diagonal. What is size of this screen? Round your answer to the nearest whole number.

Answers

Answer:

18 cm

Step-by-step explanation:

You can find the length of the diagonal by using the Pythagorean theorem.

a^2 + b^2 = c^2

12^2 + b^2 = c^2

144 + 169 = c^2

c^2 = 313

c = √313

c = 17.6918...

Answer: 18 cm

Alex is making string bracelets for his friends he has 5 meters of string to make each bracelet. How many bracelets can Alex make?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 bracelets

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

Ruby has $130 saved. She is saving $15 dollars more each week. In how many weeks will she have $400 saved to buy the new phone she wants?

Answers

You answer is In 18 weeks he'll have the $400 for the new phone.

I know this because she needs 400 but already has 130 so (400-130=270)

This means that Ruby is missing 270 to get to the 400 that he needs for the phone.He gets $15 per week so now that's (270/15=18).Which means that in 18 weeks Ruby will complete to full $400 that he needs for a new phone.

The required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Ruby has $130 saved. She is saving $15 dollars more each week.

According to given question we have

let x represent the number of weeks

she saves $15 each week,

then in x weeks she will save = 15x dollars.

Add this to the 130 she has already saved, and at the end of each week we get

15x + 130dollars.

So,

15x + 130 = 400

Subtract 130 from both sides we get

15x-130+130=400-130

15x=270

Divide by 15 on both sides we get

x=18

Therefore, the required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.

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I will mark brainlist please help!!

- dilation (lesson)

1) in a dilation of a figure, the distance between two consecutive vertices does not change

• true

• false


2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25


• J (2,1) K (2,2) L (1,2)

• J (-2,1) K (4,2) L (1,0.5)

• J (1,2) K (2,2) L (1,0.5)

Answers

I’ve never see the truth about coks so it’s 27 inches for sure if it was all the same as2,2 743+77482=747474

Just #19. I don’t know how to solve. Please help me solve. I need steps with the numbers. I will give brainliest.

Answers

Answer:

In 2x[tex]\geq[/tex]8 the answer is: x[tex]\geq[/tex]4

Step-by-step explanation:

If we look at the 2x[tex]\geq[/tex]8, we can easily solve it. We know that the [tex]\geq[/tex] symbol means greater than or equal to. If we go by greater than, it could be any number of numbers. However, we know that it is also possible equal. For this to be true, then whatever 2 is being multiplied by must possibly give a product of eight also. Because of this, we can use the knowledge that 2*4 equals 8. So we simply put it in. x must be greater than or equal four in order to make the statement true. Remember the greater to or equal than part. It could be more than four. We are just saying the minimum of x would be four.

Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound, and
almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario
use for the mixture to cost $6.50 per pound to make?

Answers

Answer:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds.  

Step-by-step explanation:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9

cost of almond nuts per pound=$5.25

cost of the mixture per pound=$6.5

total pounds of the mixture to be made=12

let the pounds of macadamia nuts=x

pounds of almond nuts=y

total pounds of nuts=x+y= 12

x + y = 12(1)

9x +5,25y = 6.5(x+y)

9x+5.25y=6.5*12

9x+5.25y=78(2)

solving (1) and (2)

x=4 y=8

I really need this last question please anyone's help is very appreciated ​

Answers

Answer:

y = (5/2)x + 13/2

y = 3

y = -2x + 6

Step-by-step explanation:

The left part of the function which is a line sloping up to the right contains points (-3, -1) and (-1, 4) which can be read off the graph.

Since we have two points, we can find the equation.

You can use the slope formula given two points, but I will read it off the graph with rise and run.

Go from point (-3, -1) to point (-1, 4) by going up 5 (the rise) and going right 2 (the run).

slope = rise/run = 5/2

y = mx + b

y = (5/2)x + b

Use point (-1, 4) for x and y and solve for b.

4 = (5/2)(-1) + b

8/2 + 5/2 = b

b = 13/2

y = (5/2)x + 13/2

This is the first answer.

The middle part is a horizontal line in which every point has y-coordinate 3.

The equation is:

y = 3

This is the second answer.

The right part is the line that slopes down to the right. We can read two points easily. Use points (3, 0) and (2, 2).

Start at (3, 0). Go left 1 (run of -1) and up 2 (rise of 2). Now you are at point (2, 2).

slope = rise/run = 2/(-1) = -2

Now we find the y-intercept on the graph. After you get to (2, 2), keep moving with the same run and rise of the slope. Go left 1 and up 2 to point (1, 4). Go again left 1 and up 2 to (0, 6). Point (0, 6) is on the y-axis, so it is the y-intercept.

b = 6

y = mx + b

y = -2x + 6

This is the third answer.

A package of 4 pairs of insulated costs ​$24.76. What is the unit price of the pairs of ​?

Answers

24.76 / 4 = 6.19

It will cost $6.19


Help please 6th grade math

Answers

Answer:

You would just plot it on the 1

the absolute value of positive 1=1

Quadrant of -9, 17? I cannot find the answer to the question

Answers

it’s in the second quadrant

Answer:

[tex](-9,\, 17)[/tex] is in the second quadrant of a cartesian plane.

Step-by-step explanation:

The horizontal and vertical axes divides the cartesian plane into four quadrants. The quadrants are numbered counterclockwise, starting from the top-right corner:

[tex]\begin{array}{c|c}\text{second quadrant} & \text{first quadrant} \\\cline{1-2} \text{third quadrant} & \text{fourth quadrant}\end{array}[/tex].

(The quadrants do not include the two axes. Points on either axes are not in any of the quadrant.)

A point in the form [tex](x_{0},\, y_{0})[/tex] is on the right half of the plane (to the right of the vertical axis) if [tex]x_{0} > 0[/tex]. This point is on the vertical axis through the middle of the plane if [tex]x_{0} = 0[/tex]. Otherwise, if [tex]x_{0} < 0[/tex], this point would be on the left half of the plane (to the left of the vertical axis.)

The [tex]x[/tex]-coordinate of [tex](-9,\, 17)[/tex] is [tex]x_{0} = -9[/tex].

Since the [tex]x[/tex]-coordinate of this point is below zero ([tex](-9) < 0[/tex]), this point would be on the left-hand side of the origin to the left of the vertical axis.

Likewise, a point in the form [tex](x_{0},\, y_{0})[/tex] is above the horizontal axis if [tex]y_{0} > 0[/tex], on the horizontal axis if [tex]y_{0} = 0[/tex], and below the horizontal axis if [tex]y_{0} < 0[/tex].

The [tex]y[/tex]-coordinate of the given point [tex](-9,\, 17)[/tex] in this question is [tex]y_{0} = 17[/tex].

Since the [tex]y[/tex]-coordinate of this point is greater than zero ([tex]17 > 0[/tex]), this point would be above the horizontal axis.

Thus, the point [tex](-9,\, 17)[/tex] would be in the top-left quarter of the plane. The top-left quarter of the plane corresponds to the second quadrant, since this quadrant is the second quadrant after the first quadrant in the top-right corner. Hence, [tex](-9,\, 17)\![/tex] would be in the second quadrant of the plane.

2. Convert the following lengths to cm. (a) 15 mm (b) 27 mm (c) 48 mm​

Answers

Answer:

15 mm = 1.5 cm

27 mm = 2.7 cm

48 mm = 4.8 cm

Proof Hexagon:
Hey, I'm a German 11th grader and we currently have a tough geometry question: The centers A, B, C of three congruent circles that have no common points do not lie on the same straight line. From points A, B, C, the six tangents shown in the figure are placed on the circles that enclose a convex hexagon.Prove: The sums of the lengths of three pairs of not immediately adjacent sides of this hexagon are equal, i.e. | PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
How can I prove this? I already found out that the triangles on the sides of the hexagon are not pairwisely congruent, as i first thought. I think my other idea that the red and orange triangles (attachment) are congruent, so the sum of the areas of the triangles on the above mentioned sides is equal, but the congruency of red and orange must be proven too. Any help is appreciated!

Answers

If I'm not wrong, then the answer will be:-

Given

• centers A, B, C

• three congruent sides

• have no common points

So, the result is:-

| PQ | + | RS | + | TU | = | QR | + | ST | + | UP |

Proved

I hope this answer is correct and helps you.

✍️ By Benjemin ☺️

Help me
Help me
Help me

Answers

Answer:

For the first one is 75 and 30 looks on a calculator add 75+75+30=180

How to tell if a graph is a function in algebra

Answers

Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

Step-by-step explanation:

If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

Dan şi Andrei au inventat Jocul rotunjirii" și au hotărât ca fiecare să scrie cinci numere care se rotunjesc la zeci de mii prin 70 000. Copiii au stabilit însă și următoarele reguli: a. numerele scrise de Dan să aibă pe locul zecilor de mii o cifră mai mică decât 7; b. numerele scrise de Andrei să aibă pe locul zecilor de mii cifra 7; Scrie și tu câte şase numere care se rotunjesc la 70 000 și respectă regulile stabilite de băieţi.​

Answers

I would actually need you to translate this into english I I would be able to answer for you :)

Help me please help me help please help

Answers

Answer:

B

Step-by-step explanation:

if the number of chocolate changes the number of calories changes too

give brainlest if correct thank you :)

PLEASE HELP ASAP please please

Answers

Answer:

whats the question ❓friend maybe I'll be able to help

please help me out
find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)

Answers

Answer:

(-19,15)

Step-by-step explanation:

4x - 5 =-11 + 3x


Pls help I need the answer fast

Answers

Answer:

x = -6

Step-by-step explanation:

You want to get x to only one side:

4x - 5 = -11 + 3x

-3x               -3x

x - 5 = -11

Now move 5 to the right side:

x - 5 = -11

   +5   +5

x = -6

PLEASE HELP THIS DUE AT 12:00 PM

Answers

Answer:

a.

Scale Factor = 2

Reason:

Since, B is a scaled copy of A it's corresponding sides must be in proportion with that of A, and that proportion would be its scale factor.

I held their horizontal sides and compared them.

in case of A, the side is 2.5 and in case of B it's 5.

so, 5 divided by 2.5 gets you 2, that is the scale factor.

b.

3, 5 (from left to right)

Solution:

[tex] \boxed{ \mathsf{ \frac{crsp. \: side \: of \: b}{crsp. \: side \: of \: a} = scale \: factor }}[/tex]

this also means

[tex] \boxed{ \mathfrak{crsp. \: side \: of \: b =( scale \: factor) \times \: crsp. \: side \: of \: a }}[/tex]

Scale factor = 2

Using this we'll get the answer to the question marks

The corresponding side to 1.5 is the vertical one in B.

=> corresponding side in B = 2 × 1.5

= 3

(this is the first question mark in order from left to right)

The corresponding side to 2.5 is:

= 2 × 2.5

= 5

c.

53° and 37° (from top to bottom)

Solution:

Scaled shapes have the same angle measures.

Reason:

When we scale two line segments meeting at a point, the lengths of the segments change but they still are part of the same pair of rays making the same angle.

6. What is the value of x in the solution to the systems of linear equations shown below?
2x - 2y+z=3
5y-z= -31
x+ 3y + 2z = -21

Answers

Step-by-step explanation:

[tex]1) \: \: 2x - 2y + z = 3 \\ 2x = 3 + 2y - z \\ x = \frac{3 + 2y - z}{2} \\ \\ 2) \: \: \: not \: any \: \: \: x \: \: \: available \: \: \\ \\ 3) \: \: x + 3y + 2z = - 21 \\ x = - 21 - 3y - 2z[/tex]

Answer:

x= -5

Step-by-step explanation:

5y-z= -31, add z and 31 to both sides

5y+31 = z, substitute z in the other two given equations

2x - 2y+z=3

2x-2y +5y+31 = 3, combine like terms and subtract 31 from both sides

2x+3y = -28

x+ 3y + 2z = -21

x+3y +2(5y+31) = -21, distribute 2 over the addition parenthesis

x+3y +10y+62 = -21, combine like terms and subtract 62 from both sides

x+13y = -83

Now we have 2 equations  with 2 variables x and y to solve

2x+3y = -28

x+13y = -83

Because we need to find x then from the first equation we can write that

3y = -2x-28, subtract 2x from both sides and the divide both sides by 3

y = (-2x-28)/3, substitute this in the second equation

x + [13(-2x-28)/3] = -83 , distribute 13 . over the subtraction parenthesis

(3x/3)+[(-26x - 364) /3= -83, find the common denominator

3x+[(-26x - 364) = -83*3 , cross multiply

3x -26x = -249 +364, add 364 to both sides

- 23x = 115, divide both sides by (-23)

x= -5

What is 786 rounded to the nearest ten?explain your thinking

Answers

If we found it up it will round up the the color purple because red and blue makes purple

Answer:

786 rounded to the nearest ten is 770.

Step-by-step explanation:

To round to the nearest 10, look at the units digit. if the units digit is 5 or more, round up. If the units digit is 4 or less, round down.

What is the distance between the points (−7, −3) and (−7, −9) ?

A 12 units

B 10 units

C 6 units

D 4 units

Answers

Answer:

C. 6 units

Step-by-step explanation:

Since the points have same x- coordinate of -7, the distance is the difference in y - coordinates:

d = -3 - (-9) = -3 + 9 = 6

Correct choice is C

(-7,-3)(-7,-9)

Distance

[tex]\\ \sf\longmapsto \sqrt{(-7+7)^2+(-9+3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-6)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36}[/tex]

[tex]\\ \sf\longmapsto 6[/tex]

2. The fifth term and eighth terms of a Gp are 80 and 640 respectively find

a) values of r and a
b) the first five terms

Answers

Answer:

a values of r and a that the answer

What is the solution to the following inequality?
|3x -8|< 2
Answers below

Answers

Answer:

Step-by-step explanation:

B

x + 3y >/3
5x + 3y -9

Answers

5x +3y -9
Answer: 15y -9

For a quadrilateral ABCD inscribed in a circle of radius 1, let AB : AD = 1 : 2 and ∠BAD = 120°. Also, when the point of intersection of diagonals BD and AC is denoted by E, let BE : ED = 3 : 4. Please find the area of triangle ABD and triangle BCD. (Show work)

Answers

The area of triangle ABD = x² * √3 / 2 and The area of triangle BCD =       y * √(5x² + 4y² - 2xy√5)

To find the area of triangle ABD, we can use the formula for the area of a triangle: Area = (1/2) * base * height

In triangle ABD, the base is AD and the height is the perpendicular distance from point B to line AD. Since AB : AD = 1 : 2, we can let AB = x and AD = 2x.

Now, we can use the Law of Cosines to find the length of side BD. In triangle ABD, we have:

BD² = AB² + AD² - 2 * AB * AD * cos(∠BAD)

BD² = x² + (2x)² - 2 * x * (2x) * cos(120°)

Simplifying the equation:

BD² = x² + 4x² - 4x² * (-1/2)

BD² = 5x²

Taking the square root of both sides:

BD = √(5x²) = x√5

Since BE : ED = 3 : 4, we can let BE = 3y and ED = 4y.

Now, we can find the length of side BC. In triangle BCD, we have:

BC² = BD² + CD² - 2 * BD * CD * cos(∠BCD)

BC² = (x√5)² + (2y)² - 2 * (x√5) * (2y) * cos(∠BCD)

BC² = 5x² + 4y² - 4xy√5 * cos(∠BCD)

Since the quadrilateral ABCD is inscribed in a circle, ∠BCD = 180° - ∠BAD = 60°.

BC² = 5x² + 4y² - 4xy√5 * cos(60°)

BC² = 5x² + 4y² - 4xy√5 * (1/2)

BC² = 5x² + 4y² - 2xy√5

The area of triangle ABD is given by:

Area ABD = (1/2) * AB * AD * sin(∠BAD)

Area ABD = (1/2) * x * 2x * sin(120°)

Area ABD = x² * √3 / 2

The area of triangle BCD is given by:

Area BCD = (1/2) * BC * CD * sin(∠BCD)

Area BCD = (1/2) * √(5x² + 4y² - 2xy√5) * 2y * sin(60°)

Area BCD = y * √(5x² + 4y² - 2xy√5)

Further calculations require numerical values for x and y to obtain specific areas.

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