A soda pop manufacturer runs a contest and places a winning bottle cap on every sixth bottle. If a person buys the soda pop, find the probability that the person will win for the first time on his third purchase.

Answers

Answer 1

Answer:

[tex]\dfrac{25}{216}[/tex]

Step-by-step explanation:

From the given information:

The probability (p) of winning a bottle cap = [tex]\dfrac{1}{6}[/tex]

The probability of not winning a bottle cap will be (q) = 1 - p

[tex]= 1- \dfrac{1}{6}[/tex]

[tex]= \dfrac{5}{6}[/tex]

Since we are told that the winning is placed once on every sixth bottle

Then the required probability = P( of not winning the first purchase) × P( of not winning the second purchase) × P( of winning the third purchase)

[tex]= \dfrac{5}{6} \times \dfrac{5}{6} \times \dfrac{1}{6}[/tex]

[tex]= \dfrac{25}{216}[/tex]


Related Questions

Which pair of functions are inverses of each other?  A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x​ and g(x) = {\left( {\frac{x}{6}} \right)^3}g(x)=( 6 x​ ) 3  B. f(x) = 10x – 5 and g(x) = \frac{{x + 5}}{{10}}g(x)= 10 x+5​ C. f(x) = \frac{4}{x} - 3f(x)= x 4​ −3 and g(x) = \frac{{x + 3}}{4}g(x)= 4 x+3​ D. f(x) = \frac{x}{8} + 3f(x)= 8 x​ +3 and g(x) = 8x – 3​

Answers

Answer:

the answer is B

Step-by-step explanation:

The Rodriguez Family is starting to save 15% of their income per month for college savings for their children. They earn $8,540 per month. How much will the Rodriguez family save each month for future college expenses?

Answers

Answer:

1,281

Step-by-step explanation:

Dan borrowed money from his parents and he pays back his parents the same amount of money every month He records his payment schedule in a table Aportion
of his payment schedule is shown below, where m represents the month and represents the amount, in dollars that he owes
Month() Amount Owed (s) in Dollars
800

Answers

Answer:

D

Step-by-step explanation:

Jmfsxbbihswyvbn

What's the answer???

Answers

Answer:

13.75

Step-by-step explanation:

Can you help with all label them by there numbers plz thank you

Answers

Answer:

13- 25 fish

14- 9 miles

15- 7.825 ft3

16- 11.3 feet

Step-by-step explanation:

13-

        14 x 2 = 28 fish

        He dropped three things so:

        28 - 3 = 25 fish

14-

         7 days x 3weeks = 21 days

         3laps x 21 days = 63 laps

         63 laps x 1/7 mile = 9 miles

15-

         all his savings: 2.6 + 7.34 + 5.71 = 15,65 ft3    

         melted snow = 15.65 / 2 = 7.825 ft3

16-

         3.5 - 1.8 = 1.7 feet

         1.7 + 9.6 = 11.3 feet

                   

Answer:

Step-by-step explanation:

# 13.

I assume there will be no bonus, because penguin dropped some things.

14 × 2 - 3 × 1 = 25 fish

# 14.

3 laps, [tex]\frac{1}{7}[/tex] mile, 7 days, 3 weeks

3 × [tex]\frac{1}{7}[/tex] × 7 × 3 = 9 miles

# 15.

[tex]\frac{2.6+7.34+5.71}{2}[/tex] = 7.825 ft³

# 16.

[tex]3\frac{1}{2}[/tex] = 3.5

+ 3.5 - 1.8 + 9.6 = (3.5 + 9.6) - 1.8 = 11.3 ft.

Picture Shown!! Please help!!

Answers

Answer:

64x^6

Step-by-step explanation:

is the expression 70-(4 • 15 ) a different three terms product of two times or a difference of two term?

Answers

what was the answer I’m on the same one

What two words describe the result set of a FULL OUTER JOIN minus the INNER JOIN result set in set theory parlance

Answers

Answer:

CROSS JOIN  (/^\s*symmetric\s*difference\s*$/)

Step-by-step explanation:

Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.

In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.

the grade point average for 10 students are listed below. find the range of the data set.
0.8, 0.9 1.8, 2.0, 2.9, 3.2, 3.3 ,3.6, 4.0

Answers

Answer:

might be 22.5 i think but i'm not sure correct me if i'm wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

the range is the difference between the largest and the smallest value

4.0-0.8=3.2

(a) Complete the table of values for the graph x + y = 6

Please help ❤️ complete the table leave the graph bit as I know how to do it

Answers

Answer:

(0,6)

(1,5)

(2,4)

(3,3)

(4,2)

Step-by-step explanation:

To solve this table first convert the equation to slope-intercept form (y=mx+b), to do this solve for y in the equation. The slope-intercept form is y=-x+6, where -1 is the slope and 6 is the y-intercept. Then from that, you can get your first point, because you know the y-intercept is 6, therefore when x equals 0 y must be 6. Next, because the slope is -1 that means the y-value decreases by 1 every time the x-value increases by 1. So to find the rest of the y-values simply subtract 1 from the previous y-value.

Which function represents exponential decay with 5% as the rate of decrease?

Answers

Answer:

The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] B

Step-by-step explanation:

The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]

The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]

a is the initial valuer is the rate of increase or decrease in decimal

∵ The function represents exponential decay with 5%

→ By using the second rule above

y = a [tex](1-r)^{x}[/tex]

∵ The rate of decrease is 5%

r = 5%

→ Change it to decimal by dividing it by 100

∵ 5% = 5 ÷ 100 = 0.05

r = 0.05

→ Substitute it in the equation

∵ y = a [tex](1-0.05)^{x}[/tex]

y = a [tex](0.95)^{x}[/tex]

→ Look at the answer to find which equation is written in this form

∴ y = 50 [tex](0.95)^{x}[/tex]

The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]

NEED HELP PLEASE 16. A car dealer has 90 cars in the new car lot. The partially completed two-way table shown categorizes the cars by their color and whether or not they have backup
cameras. How many cars on the lot do not have backup cameras?

A. 45
B. 64
C. 53
D.8

Answers

I think it might be 64 (B)

Answer:

its 53. i just took the test

Step-by-step explanation:

help me quick!!!!!!,!,!!

Answers

Answer:oof

Step-by-step explanation:

Name the coordinates of each star in the map of a galaxy far, far away.

Answers

Answer:

they were each far far away from each other

Step-by-step explanation:

At the Italian deli, the sandwich maker cut 4 2/3 lb of turkey and 9 3/5 of roast beef. How many more pounds of roast beef were cut?

Answers

Answer:

4 14/15 more pounds of roast beef

Step-by-step explanation:

subtract 4 2/3 from 9 3/5

9 3/5 - 4 2/3= 4 14/15

So your answer is 4 14/15

What is the total cost or sale price to the nearest cent?
$65 Jacket; 35% Discount

Answers

22.75 will be the total sale price to the nearest cent. If this answers was helpful for you please mark as best thank you.

What is the value of point a on the number line?

I need help ASAP

Answers

Answer:

The answer is 7/6

solve by substitution 3x +y=13 and 5x-2y=7​

Answers

Answer:

x=3

y=4

Step-by-step explanation:

I'm using 3x+y=13 to find y, then plug y into the second equation.

y= -3x+13

5x-2(-3x+13)=7

find x.

5x+6x-26=7

11x=33

x=3

now plug x into 3x+y=13(you could do it with the other equation too)

3(3)+y=13

y=13-9

y=4

The value of x and y is 3, and 4 respectively by the substitution method.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations;

3x +y=13 ...(1)

5x-2y=7​ ...(2)

By using the substitution method.

[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]

y = 4

Plug y = 4 in equation (1)

3x + 4 = 13

x = 3

Thus, the value of x and y is 3, and 4 respectively by the substitution method.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

The sum of two numbers, a and b, is 75. The sum of 2a and 3b is 202. What is the difference between the two numbers?

Answers

Answer:

29

Step-by-step explanation:

a=23

b= 52

multiply eq. i with 2 then subtract from eq. ii

Answer:

the answer is -29 and -110

We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored first?

Answers

Answer:

1/2 or 50% probability

Step-by-step explanation:

There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:

AB where player A is the first player to score, we wouldn't have BA since player would not be the first here

Probability = number of favorable outcomes/total number of outcomes

Therefore probability of A being the first player = number of A/total number of players

=1/2 = 0.50

There is therefore a 50% chance of A being the first player

please help i have 1 hour to complete this

Answers

Answer:

for the first one its C,D and E

but for the second one i dont

know so sorry

Step-by-step explanation:

Multiply 6/5 x 25/24.

Answers

Answer:

5/4

Decimal Form:

1.25

Mixed Number Form:

1 and 1/4

what is the estimate value of 976 divide by 0.188

Answers

Answer:

Estimating is used to help predict the answer to a calculation. We use estimation to make calculations more manageable and to give us an idea of the answer. Estimation is used in the construction industry, for example, when buying materials and planning labour.

Answer:

5191.4

Step-by-step explanation:

976/0.188

=5191.4

11:59 is the deadline please give me the correct answer​

Answers

Answer:

[tex]6 - 8x = 5x - 10x + 15 \\10x-8x-5x=15-6\\ - 3x = 9 \\ x = \frac{9}{ - 3} \\ x = - 3[/tex]

-3 is the right answer.

Answer:-3

the right answer  did ths on paper

Ethan buys a video game on sale. If the video game usually costs $49.99, and it was on sale for 30% off.​

Answers

Answer:

$34.99

Step-by-step explanation:

49.99 - 14.997=

34.99

Answer:

the answer is 34.99

if you want me to explain i will ")

Is x = 1/2 a solution of the equation above. 3( x + 1) = 3x

Answers

or,3(1/2 +1)=3/2

or,3/2+3=3/2

or,(3+6)/2=3/2

or,9/2=3/2

if the cost of 1 packet biscuit is Rs.17.50,what is the cost of 8 packets of biscuits?​

Answers

1 paket bisküvinin maliyeti Rs. 17.50 ise, 8 paket bisküvinin maliyeti nedir?

Which graph shows the solution to the system of linear inequalities? x+5y>=5. y<=2x+4

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

The solution to the inequalities is (-11/15. 38/15)

Equation of a line

Given the systen of inequalities expressed as:

x+5y>=5y<=2x+4

inequality graph

In order to get the graph that shows the solution and the coordinate of the solution, equate the inequalities to havee:

(5-x)/5 = 2x + 4

5 - x = 10x + 20

20 - 5 = -11x

15 = -11x

x = -11/15

Given that y = 2x + 4

y = -22/15 + 4

y = 38/15

The solution to the inequalities is (-11/15. 38/15)

Learn more on inequality graph here: https://brainly.com/question/11234618

69+420 what is the ansewer​

Answers

Answer:

489

Step-by-step explanation:

Answer:

the answer is 489 I hope it helps.

How many ways can 3 yearbook posters out of a total of 6 posters be displayed across a wall?​

Answers

9514 1404 393

Answer:

  120

Step-by-step explanation:

The first one can be any of 6. The second can be any of the remaining 5, and the third can be any of the remaining 4. The total number of possible displays is ...

  6 × 5 × 4 = 120

3 posters of 6 can be displayed 120 ways.

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