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

Find the area 3 and 6

Answers

Answer:

18

Step-by-step explanation:

You always multiply when doing area.

help me plasssss sro

Answers

Answer:

i personally think it is B i might be wrong tho

Step-by-step explanation:

Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?

Individual Question

362


500


800


1,250


1,750

Answers

Answer:

A I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

does the point (0,-4) lie on the line

Answers

Answer: Yes.

Step-by-step explanation: Because if it is 0 on the x axis then no matter what the Y number is it will be on the line.

33.32 divided 9.8 plsssssss helpppppppp showww workkk

Answers

Answer:

3.4

The quotient of 33.32 divide by 9.8 = 3.4

What constant acceleration is required to increase the speed of a car from 23 mi/h to 51 mi/h in 5 seconds? (Round your answer to two decimal places.)

Answers

Answer:

337.35 mi/h^2

Step-by-step explanation:

Given the equation;

v= u +at

v= final velocity = 51 mi/h

u= initial velocity = 23 mi/h

t = time = 5 mins or 0.083 hours

a = acceleration, the unknown

51 = 23 + 0.083a

51 - 23 = 0.083a

a= 51 - 23/0.083

a= 337.35 mi/h^2

I have to finish this in 6 min!! Help! try to see the picture

Answers

Answer:

The distance between 7 and zero on a number line

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

0 to 7 on a number line is 7

a box contains 75 red and 25 green light bulbs. it is found that 20 bulbs in the box are defective, of which 2 are red. what is the probability that a bulb selected randomly from the box is either a red bulb or a defective bulb?

0.82
0.93
0.73
0.95

Answers

Answer:

15 bulbs are red.

Step-by-step explanation: Because 75 is 3 times as big as 25 so every 1 green light bulb 3 red light bulbs will be deflective.

PLEASE HELP!!!!! I WILL MARK YOU BRAINLIEST IF YOU ARE RIGHT!!!!!!

Answers

Answer:

C

Step-by-step explanation

Its c trust me.

Using the inverse trig functions, find the measure of angle Z to the nearest degree.
1. 19 degrees
2. 90 degrees
3. 20 degrees
4. 71 degrees

Answers

Answer:

4

Step-by-step explanation:

because y is 90 and x is 20 so z is 71

Kate bought $23.40 worth of two types of bird seed. Thistle bird seed sells for $1.60 per pound and wild bird seed sells for $0.95 per pound. If she bought 12 pounds of wild bird seed, write and solve a linear equation to find the amount of thistle bird seed she purchased.​

Answers

Answer:

Ax+By=C and 7.5 lb of Thistle

Step-by-step explanation:

HELP ASAP will give brainly Which of the following lists is in order from smallest to largest?

, 0.04, 25%
0.04, 25%,
, 25%, 0.04
25%, 0.04,

Answers

0,04 then 25%. 25% = 0,25

Answer:

0.04, 25%

Step-by-step explanation:

25% = 0.25 > 0.04

Therefore the order from smallest to largest is:

0.04, 25%

Use the quotient of powers property to simplify the numeric expression.
2 2/5.
2 1/0

Answers

Answer:

[tex] 2^{\frac{3}{10}} [/tex]

Step-by-step explanation:

[tex] \frac{2^{\frac{2}{5}}}{2^{\frac{1}{10}}} [/tex]

Applying quotient of powers property (i.e. [tex] \frac{a^x}{a^y} = a^{x - y} [/tex]

[tex] 2^{\frac{2}{5} - \frac{1}{10}} [/tex]

[tex] 2^{\frac{4 - 1}{10}} [/tex]

[tex] 2^{\frac{3}{10}} [/tex]

Answer:

2 3/10

Step-by-step explanation:

Your boss sends you a text of a painting of the Yankee stadium.
The painting is 16 inches by 24 inches. If the scale factor is 2.25, what is the actual size of the painting?
Your boss also needs to know if this is an enlargement or a reduction.
(If you can,Please provide an image of how you solved the problem.And please explain thoroughly how you got your answer.)

Answers

Answer:

170.6 inches

The scale factor is an enlargement

Step-by-step explanation:

16 by 24 is the Painting by a scale factor of 2.25

A scale factor is an enlargment or reduction in a shape or quantity.

So

(16*24) is the size of the painting after Scale factor

16*24=384

Know get 384/2.25

170.666666667

170.6 inches

god gave me 3 apples but the devil would have gave me 23 have many apples do i have?

Answers

3 because the devil never actually gave you the apples. He would have but didn’t.

Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.

Answers

The graph that correctly represents f(x) = –2(x + 4)² is graph (B).

What is a graph?A graph is a diagram that depicts the connections between two or more objects. A pie chart is a type of graph. In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to connected and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other types of graphs.

So, graph of: f(x) = –2(x + 4)²

Then,

f(x) = -2(x + 4)² f(x) = (-2x - 8)²

Now, plot (-2x - 8)² on the graph.

(Refer to the graph attached below)

Therefore, the graph that correctly represents f(x) = –2(x + 4)² is graph (B).

Know more about graphs here:

https://brainly.com/question/19040584

#SPJ1

Help plssssssssssssssss

Answers

Answer:

C, 2(x-3) = 22

Step-by-step explanation:

2(x-3) = 22

2((14)-3) = 22

2(14-3) = 22

2(11) = 22

22 = 22

Make a circle graph for each set of data.

Top 5 Biggest U.S. Employers Company Employees Wal-Mart Stores, Inc.

677,500 General Motors Corp. 646,200 PepsiCo, Inc. 485,100 Ford Motor 372,900 Sears Roebuck & Company 336,100 Source: Scholastic Kid's Almanac, 2001

a.
b.
c.
d.​

Answers

Answer:

Option "B" is correct answer

Step-by-step explanation:

Given:

Wal-Mart Stores, Inc = 677,500

General Motors Corp = 646,200

Pepsi Co, Inc. = 485,100

Ford Motor = 372,900

Sears Roebuck & Company = 336,100

Find:

Chart

Computation:

Total = 677,500 + 646,200 + 485,100 + 372,900 + 336,100

Total = 2,517,800

Percent Wal-Mart Stores, Inc = 677,500 / 2,517,800 = 26.90 %

Percent General Motors Corp = 646,200 / 2,517,800 = 25.66 %

Percent Pepsi Co, Inc. = 485,100 / 2,517,800 = 19.26 %

Percent Ford Motor = 372,900 / 2,517,800 = 14.81 %

Percent Sears Roebuck & Company = 336,100 / 2,517,800 = 13.34 %

So, Option "B" is correct answer.

Answer:here's the correct answer for this question

Step-by-step explanation:edge2023

Ano ang sagot o product ng 5 at 5 ? A. 15 B. 20 c. 25 D. 25

Answers

id say the answer to your question is c.25

What is the equation of y = x 3 y = x 3 with the given transformations? vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down

Answers

Answer and Step-by-step explanation: In math, a graph, function or equation can be alterated - by shifting, reflecting, stretching or compressing - without losing its original shape. For example, a quadratic function maintains its parabolic shape when shifted.

When an equation is transformed vertically, it means its y-axis is changed. When it is horizontally, its x-axis is modified.

For equation [tex]y=x^{3}[/tex]:

Vertical stretch by a factor of 3:

This means the exponential equation will be multiplied by a constant, in this case 3. Then, the new equation is

[tex]y=3x^{3}[/tex]

Horizontal shift 4 units to the right:

When an equation is shifted, it's added a constant to it. As it is horizontal, it means it is added to the x and because it is to the right, it is a plus symbol:

[tex]y=x^{3+4}[/tex]

Vertical shift 3 units down:

Vertical shift means the equation is 3 units "below" the original equation, so:

[tex]y=x^{3}-3[/tex]

Triangle ABC is dilated by a factor of 2 with the center of dilation at the origin to form triangle A′B′C′. What are the coordinates of triangle A′B′C′?

Question 2 options:


A)
A′ (0, 4), B′ (4, 0), C′ (16, 16)


B)
A′ (4, 0), B′ (0, 4), C′ (8, 8)


C)
A′ (0, 4), B′ (4, 0), C′ (8, 8)


D)
A′ (0, –4), B′ (–4, 0), C′ (–8, –8)

Answers

I’m not sure but I think that it has to be c

Answer: c

Step-by-step explanation: I got it right on the test

A′ (0, 4), B′ (4, 0), C′ (8, 8)

A landscape architect used the entire length of a 144 foot rope to lay out a flowerbed in the shape os a square. In another area, e used the entire length of the same rope to lay out a second flower bed in the shape of a circle

Answers

Answer:

Perimeter of square = 80 feet Circumference of circle = 80 feet

How many square feet greater is the area of one of the flower beds than the other? (use 3.14 for pi)

Step-by-step explanation:

Sin(x/7)sin(x/7)=1/2[1- cos (2x/7)] true or false plzzzzz hello am struggling

Answers

Using a trigonometric identity, it is found that the statement is False.

What is the trigonometric identity used in this question?

It is for the sine squared, given by:

[tex]\sin^2{x} = \frac{1 - \cos{(2x)}}{2}[/tex]

In this problem, the equality given is:

[tex]\sin{\left(\frac{x}{7}\right)} = \frac{1 - \cos{\left(\frac{2x}{7}\right)}}{2}[/tex]

Since the left side does not have the sine squared, the identity is not valid and the statement is False.

More can be learned about trigonometric identities at https://brainly.com/question/24496175

Answer:

True

Step-by-step explanation:

Just took the quiz

Define the opposite and the absolute value of -15.

Answers

Answer:

|-15| is 15

Step-by-step explanation:

Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?

Individual Question

362


500


800


1,250


1,750-

Answers

A because I did it

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

PLEASE HELP ASAP!!! I WILL GIVE BRAINLIEST :)
Part 1: Answer the following questions (20 points)
1. Name and describe the components needed to make a complete circuit.
2. Compare and contrast a series and parallel circuit. Give at least one way that they are alike and one way that they are different.
3. Ohm's law is represented by the equation I = V/R. Explain how the current would change if the amount of resistance decreased and the voltage stayed the same.
4. Define resistance and describe what would happen to a light bulb if the voltage increased but the resistance stayed the same.
Part 2: Design your own circuit (40 points)
Design a circuit and draw a circuit diagram using the proper symbols. Your circuit must contain a battery, a light bulb (if you would like to substitute another item that uses electrical power you may), a switch, an ammeter, and a resistor. After you draw your circuit, complete the questions which ask you to describe the circuit that you have created. You may hand draw the circuit and scan or fax the worksheet to submit for grading. Or you may use a draw/paint program to create your circuit in the space provided.
You will be awarded points as follows:
Circuit contains all required parts – 5 parts (1 point each) 5 points
Circuit is properly constructed and would work 5 points
Symbols are correct and properly placed – 5 total (1 point each) 5 points
Question 1 explanation 5 points
Question 2 explanation 5 points
Question 3 explanation 5 points
Question 4 explanation 5 points
Question 5 explanation 5 points
Total point value 40 points



Circuit Diagram:


Question 1: Is the circuit you created a parallel, series or a series/parallel circuit? Support your answer with a description of this type of circuit.


Question 2: What is the purpose of the resistor in your circuit?


Question 3: How does the switch work?


Question 4: Describe the path of the electric current through your circuit.


Question 5: Explain how your battery works. (You may want to look at the Electric Current lesson) What are some possible materials you could use to make your battery?

Answers

Answer:

Part 1: Answer the following questions (20 points)

1. Name and describe the components needed to make a complete circuit.

. battery

. connecting wire

. resister  

. voltmeter

. ammeter

2. Compare and contrast a series and parallel circuit. Give at least one way that they are alike and one way that they are different.

They both give off electricity energy, and they are different because they don't release the same amount of energy

3. Ohm's law is represented by the equation I = V/R. Explain how the current would change if the amount of resistance decreased and the voltage stayed the same.

In accordance with the law, if r became smaller, and V stayed the same, the current would increase. The increases would be inversely proportional to the resistance, if the resistance was halved, the current would double.

4. Define resistance and describe what would happen to a light bulb if the voltage increased but the resistance stayed the same. The resistance of a conductor is the ratio of the voltage

between its ends to the current through it

Step-by-step explanation:

Please help me I need to turn in tomorrow please help me

Answers

Answer:

Answer: A. 0.2

Step-by-step explanation:

Probability

The circle graph shows the distribution of the makeup of the Riverside Municipal Choir.

The total number of choir sections is: 8+10+10+12=40

To calculate the probability of a member chosen at random comes from the alto section, we use the formula:

[tex]\displaystyle P=\frac{8}{40}[/tex]

Calculating:

P = 0.2

Answer: A. 0.2

Given a Segment AB find the midpoint; B = 30 and A = 10

Answers

Answer:

The midpoint is at 20

Step-by-step explanation:

The midpoint of a segment

Given a segment in the number line with endpoints A(xa) and B(xb).

The midpoint coordinate is calculated as follows:

[tex]\displaystyle xm=\frac{xa+xb}{2}[/tex]

We are given the coordinates xa=10 and xb=30, thus the coordinate xm of the midpoint M is at:

[tex]\displaystyle xm=\frac{10+30}{2}[/tex]

[tex]\displaystyle xm=\frac{40}{2}[/tex]

xm = 20

The midpoint is at 20

What is the slope in slope-intercept form for this graphs?

Answers

Answer:

Step-by-step explanation:

since the line crosses the y axis at -4  we know that b in the slope intercept form is -4 . now we just need the slope..  and slope is rise over run  or y/x... soooo   .....

looking at the graph I see that the point (-1,4) and (0,-4) look like they are points on the graph..  

soooo....

the rise is -8 when the run is 1 or  -8/1  or just -8

use the slope intercept form  y = mx + b

y= -8x + (-4)

y = -8x -4    :)

True or False:
7>11>15>19
The number to complete the pattern is 4.


If > = To and < = From

A) True
B) False

Answers

Answer:

false

Step-by-step explanation: ur welcome

True because 7+ 4 equal 11 and 11 + 4 equal 15 and so on
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