A bottled water company runs a promotion in which 1 out of every 4 bottles has the word "Winner" printed under the
cap. Winners receive a free bottle of water. A store owner notices that in the last 4 bottles of water purchased, 2
have been winners. Using the table, what is the probability of getting 2 or more "Winner" caps on 4 bottles of water?

Answers

Answer 1

Answer:

0.262

Step-by-step explanation:

Edge 2021

Answer 2

The probability of getting 2 or more "Winner" caps on 4 bottles of water

is 0.2616.

What is a binomial distribution in probability?

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability.

The binomial probability is, [tex]^nC_xP^xq^{n - x}[/tex].

Let, p be the probability of winning,

Given,  1 out of every 4 bottles has the word "Winner".

Therefore, p = 1/4 and we know q = 1 - p = 3/4.

So, The probability of getting 2 or more "Winner" caps on 4 bottles of water

is P(X ≥ 2) which is, P(X = 2) + P(X = 3) + P(X = 4).

P(X ≥ 2) = [tex]^4C_2p^2q^2 + ^4C_3p^3q^1 + ^4C_4p^4q^0[/tex].

P(X ≥ 2) = 6(1/4)²×(3/4)² + 4(1/4)³×(3/4) + 1(1/4)⁴×1.

P(X ≥ 2) = 0.2109 + 0.0468 + 0.0039.

P(X ≥ 2) = 0.2616 or 26.16%.

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Related Questions

Find the 84th term of the arithmetic sequence 18, 31, 44, ...

Answers

Answer:

common difference = 31-18

common difference =13

from,

An=A1 +(n-1)d

A84=18+(84-1)13

A84=1097

Answer:

1097

Step-by-step explanation:

Common Difference:

d=a_2-a_1=(31)-(18)=13

d=a  

2

​  −a  

1

​  =(31)−(18)=13

a_n=a_1+(n-1)d

a  

n

​  =a  

1

​  +(n−1)d

\text{84th term:}

84th term:

a_{84}=18 + (84-1)(13)

a  

84

​  =18+(84−1)(13)

a_{84}=18 + (83)(13)

a  

84

=18+(83)(13)    a_{84}=1097      a  84

​ =1097


Circle D has a circumference of 77 cm and Circle E has a circumference of 147 cm.
What is the similarity ratio between circles D and E?

Answers

Answer:

657

Step-by-step explanation:

Step-by-step explanation:

similarities ratio of circumference = 2πr/2πR = r/R= 77/147= 11/21

plz mark my answer as brainlist plzzzz.hope this will be helpful to you.

can someone please help me with this, ill give you brainiest, I rlly need help!!

Answers

Answer:

y-2=-6(x-1)

Step-by-step explanation:

Answer:

y=-6x+8

Step-by-step explanation:

Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n

Answers

Answer:

Step-by-step explanation:

N⁶ · n⁵ · n⁴ ÷ n³ · n² ÷ n

n¹¹ · n⁴ ÷ n³ · n² ÷ n

n¹⁵ ÷ n³ · n² ÷ n

n⁵ · n² ÷ n

n¹⁰ ÷ n

n⁹

Answer:

1

Step-by-step explanation:

because u didnt have 1 plus its counting down on the numbers so i think its 1

What are the dimensions of the product?

Answers

Answer:2x3

Step-by-step explanation:

round off 3409725 to nearest 10​

Answers

Answer:

10000

Step-by-step explanation:

to know if this answer is correct you have to know the rounding rules:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

find the missing side of the triangle please

Answers

the side length of c is 17 cm

A school requires that 1 adult accompany every 8 students on a field trip. How many adults are needed to accompany 32 students?

Answers

Answer: 4 adults are needed to accompany 32 students.

Step-by-step explanation:

Given: School requires 1 adult to accompany every 8 students on a field trip.

The number of adults are needed to accompany 32 students = [tex]\dfrac{32}{\text{Number of students accompanied by an adult}}[/tex]

[tex]=\dfrac{32}{8}\\\\=4[/tex]

Hence, 4 adults are needed to accompany 32 students.

brian got in a taxi at 6:20 am and arrived at his destination at 7:10 am how long did his destination take​

Answers

His destination took 50 minutes long


(2,-3) and (4, 8)
Slope = _

Answers

Answer:

11/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-(-3))/(4-2)

m=(8+3)/2

m=11/2

Answer:

slope = 5[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Slope = [tex]\frac{y1 - y2}{x1 - x2\\}[/tex]

Plug in values accordingly:

[tex]\frac{-3 - 8}{2 - 4}[/tex]

Solve:

[tex]\frac{-11}{-2}[/tex]

Simplify:

[tex]\frac{11}{2}[/tex]

Simplify:

5[tex]\frac{1}{2}[/tex]

Let me know if you have any questions

3x + 2y = -10
5x + y = 9

Answers

Answer:

x=4, y=-11. (4, -11).

Step-by-step explanation:

3x+2y=-10

5x+y=9

--------------

3x+2y=-10

-2(5x+y)=-2(9)

--------------------

3x+2y=-10

-10x-2y=-18

-----------------

-7x=-28

7x=28

x=28/7=4

5(4)+y=9

20+y=9

y=9-20=-11

A rectangular prism measures 3 1/2 cm long, 2 1/2 cm wide, and 1 1/2 cm high. How many cubes with side lengths of image cm are needed to fill the prism?


A.13 cubes


B.35 cubes


C.6 cubes


D.105 cubes

Answers

Answer:

D. 105

Step-by-step explanation:

D

SOMEONE PLEASE HELP AND EXPLAIN HOW TO DO THIS!!

Answers

Answer:

Your answer should be B or D.

Step-by-step explanation:

You have to find x. If the first side is 60 degrees and the other is 70 degrees, that means that the last side should be similar to that. yo can use a protractor if you have one, or you can estimate. now for the equation part. once you have the degree for the angle, you need to use the numbers to multiply to get the number. Multiply 8 by all of the numbers. Since the angle is acute, the answer has to be less than 90.

A circle has a diameter of 28 feet. What is the
circumference of the circle?

Answers

Answer:

14

Step-by-step explanation:

the answer is 87.96 ft

pls help is it A. B. C. D.

Answers

Answer:

C

Step-by-step explanation:

Hope I was able to help!! :)

Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?

a.
–26 + (–5)

b.
–26 + 5

c.
26 + (–5)

d.
26 + 5

Answers

The answer is c. Marisa is paying for lunch which is taking away $5. To find out how much money she would have you would subtract 5 dollars from 26

Write an equation of a line with the given slope and y intercept 1/3 and -1

Answers

Answer:can you show a picture?

Step-by-step explanation:

Answer:

x−y+4=8

7x+y=0

3x+y=16

Step-by-step explanation:

i hope this helps you

Can some explian this?

Answers

Answer: it’s asking where do the points meet at hopes this helps

Step-by-step explanation:

can anyone explain how to solve this using %/100 = is/of?

Answers

Answer:

20%/100 = 8 peeps / 40 items in the basket

(40 total items)

Step-by-step explanation:

Let x be the total number of items in the basket. The ratio of peeps to the total item is 1/5. Therefore,

1/5 = 8/x

x = 40

40 total items

say you have a good friend or family member that you love, and they are a heavy smoker. Describe in your post how you might convince them to quit. Be sure to provide evidence, which might include some examples of diseases caused by smoking.

Answers

Answer:

I know what you mean my grandpa is one

Step-by-step explanation:

I explain everything that could happen to him and that could hurt us if he happened to die. His lungs could give out

lung cancer, coronary heart disease or chronic obstructive pulmonary disease (COPD) are some diseases that he could develop

Answer:

Do remind the person who's quitting how long they went without a cigarette before the slip. Do help the person who's quitting remember all the reasons they wanted to quit, and help them forget about the slip as soon as possible. Do continue to offer support and encouragement.

Step-by-step explanation:

-9(-5k + 3m) + 9m -5(-5m + 9k)​

Answers

7m -36k
Here’s the answers
-9(-5k+3m) + 9m - 5(-5m+9k)

multiple -9 by -5k+3m

45k-27m + 9m -5(-5m+9k)

multiply -5 on -5m+9k

45k-27m + 9m +25m -45k

45k -45k -27m + 9m + 25m
0k. +7m

= 7m

can anyone answer this for me please ​

Answers

Answer:

10

+

g

9

>

12

Move the negative in front of the fraction.

10

g

9

>

12

Move all terms not containing  

g

to the right side of the inequality.

Tap for more steps...

g

9

>

2

Multiply each term in  

g

9

>

2

by  

1

Tap for more steps...

g

9

<

2

Multiply both sides of the equation by  

9

.

g

<

2

9

Multiply  

2

by  

9

.

g

<

18

The result can be shown in multiple forms.

Inequality Form:

g

<

18

Interval Notation:

(

,

18

)

Step-by-step explanation:

A bowl contained 49.7 grams of salt. Then, Charlie poured in another 41.14 grams. How much salt does the bowl contain now?

Answers

Answer:

90.84

Step-by-step explanation:

49.7+41.14= 90.84

15. Asher weighs 15 pounds less than three times the weight of Audrey, his sister. Asher
weighs 27 pounds. Write an equation that can be used to find w, the weight of Audrey. Then,
solve the equation
Equation:
Solution:

Answers

Answer:

15x-y=27

Step-by-step explanation:

I think if im wrong my apologies haven't done that in a bit

The weight of Audrey will be 14 pounds based on the given equation formation.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Suppose the weight of Asher is x then according to the given question,

x = 3w - 15

And, x = 27

27 = 3w - 15

3w = 42

w = 14 pounds

Hence "Weight of Audrey will be 14 pounds based on the given equation formation".

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a. (5x -9) - (2x -7) b. (6x -10) -(2x-8)​

Answers

Answer:

!!

Step-by-step explanation:

(5x-9)-(2x-7)

(5x-2x)-(9-7)

3x-2

2 / 3

x=2/3 or 0.6666666666666667

Traci is t years old her brother lee is 5 years younger than she is write an expression to represent lee's age

Answers

Answer:

t - 5

Step-by-step explanation:

t is how old Traci is. To find an age that is 5 years younger than her you would have to do t - 5.

Find the slope of (2,6)-(1,3) including all steps.

Answers

Answer:

3

Step-by-step explanation:

(6-3) / (2-1) = 3/1 = 3

The gas tank in Manny's car holds 25.05 gallons of gasoline. The car gets 36.05 miles to the gallon.

How many miles can Manny drive on a full tank of gasoline?


A. 875.0025 miles

B. 901.8000 miles

C. 903.0525 miles

D. 930.7500 miles

Answers

Answer:

C. Hope I'm right :)

Step-by-step explanation:

Because 36.05 x 25.05 = 903.0525

Hope I Helped :)

Answer:

ok here is the answer, i didnt copy.

Step-by-step explanation:

the answer is c because search it lol

Write a number so that the equation will have an infinate number of solutions

3x+5=3x+

Answers

Answer:

3x+5=3x+5

they are both the same line

Answer:

3x+5=3x+5

It is same line

Step-by-step explanation:

20. Which expression is equal to 3(5x - 6) - 2(4x + 5)
7x-1
9x - 1
9x - 13
0 7x + -28

Answers

Your answer is 7x-28
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