joseph flips a fair coin and rolls a fair number cube with sides numbered 1 through 6. what is the probability that he will roll a number greater than 4 and the coin will land on heads

Answers

Answer 1

Answer:

[tex]\frac{1}{6}[/tex]

Explanation:

Since both the events do not affect each other, they are independent. We are looking for the probability that both events happen, so we multiply the probabilities of each event.

The probability of rolling number greater than four would start with a denominator of 6 since there are 6 equally likely outcomes. The favorable outcomes number 2 since the only numbers greater than 4 are 5 and 6. So the probability is [tex]\frac{2}{6}[/tex] which simplifies to [tex]\frac{1}{3}[/tex].

The probability a coin would land on heads is just [tex]\frac{1}{2}[/tex] since you can get either heads or tails and there is only one favorable outcome.

Multiplying these together results in a final answer of [tex]\frac{1}{6}[/tex]


Related Questions

If r is a commutative ring, show that the characteristic of r[x] is the same as the characteristic of r.

Answers

If R is a commutative ring, then, the characteristic of R{x} is the same as the characteristic of R.

What is a commutative ring?

In ring theory, a commutative ring can be defined as a ring in which the multiplication operation is considered to be commutative in nature.

Let R represent a commutative ring with characteristic K.

Therefore, we have: Kr = 0∀r ∈ R.

Assuming f(x) ∈ R(x)

Then, f(x) would be given by: [tex]a_n x^n + a_{n-1} x^{n-1} +.......+ a_1 x^1 +a_0=0[/tex]

Also, in some instances ai ∈ R and n ∈ N.

Finally, we would have:

[tex]Kf(x) = K(a_n x^n + a_{n-1} x^{n-1} +.......+ a_1 x^1 +a_0)\\\\Kf(x) = Ka_n x^n + Ka_{n-1} x^{n-1} +.......+ Ka_1 x^1 +Ka_0\\\\Kf(x) = 0\times x^n + 0\times x +.......+ 0[/tex]

Kf(x) = 0.

Therefore, we can infer and logically deduce that if R is a commutative ring, then, the characteristic of R{x} is the same as the characteristic of R.

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Which of these refers to the average distance or difference of a score from the mean of the data set?

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The influential statistics are used to analyze the data sample so that a conclusion about the information is reached. The standard deviation is the average distance and the mean of the data set.

What is the standard deviation?

Standard deviation in statistics is used to denote the dispersion of the information of the mean values also the average distance of the individual data to the mean is represented.

This allows the understanding of the data collected by the analyzer and lets the easy comparison of the information that was collected for the analysis of the research topic.

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How is anger different from aggression? a. anger is an emotion, and aggression is a description for a behavior. b. anger is temporary, and aggression is a permanent behavioral trait. c. anger is a description for behavior, and aggression is an emotion. d. anger is a permanent behavioral trait, and aggression is temporary. please select the best answer from the choices provided a b c d

Answers

Answer:

A: anger is an emotion, aggression is a description for behavior

Explanation:

got it right edg2022

Which system of equations models the paths of the two skaters? y = 0.08x2-1.6x+13 and y = 0.08(x-10)2+5 y = 0.08x2-1.6x+13 and y = 1.6(x-10)2+5 y = 0.08x2-1.6x+13 and y = 0.8(x-10)2+5 y = 0.08x2-1.6x+13 and y = 5(x-10)2+5

Answers

The system of equations models the paths of the two skate is y = 0.08x²-1.6x+13 and y = 5(x-10)²+5. The correct option is b.

What is quadratic equation?

The equation with second degree of an unknown variable x, y, m, n, or p is called the quadratic equation.

David starts at (20, 13) and skates along a path that can be modeled by a quadratic equation with a vertex at (10, 5).

Vertex form of quadratic equation is

y =a (x -h)² +k  where (h,k) is the vertex.

We plug in (10,5) for h and k

y= a (x -10)² +5

Now plug in (20,13) in the above equation and find out 'a'

13 = a (x -10)² +5

13 = a(10)² +5

13 = 100a + 5

Solving for a, we get

a = 0.08

Substitute 0.08 for 'a' then the equation becomes

y= 0.08 (x -10)² +5

Thus, the correct option is b.

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Answer:

A. y = 0.08x2-1.6x+13 and y = 0.08(x-10)2+5

Explanation:

A cladogram shows the evolutionary relationship between humans, chimpanzees, and gorillas. the cladogram currently shows humans and chimpanzees with a more recent common ancestor compared to gorillas. which piece of evidence, if true, would most likely weaken this hypothesis?(1 point)

Answers

The true evidence that most likely to weaken the hypothesis is DNA sequence analysis of the hemoglobin alpha gene shows that humans and chimpanzees have a more similar sequence to each other than they do to the gorilla’s DNA sequence.

What is a cladogram?

A cladogram is a line diagram representation of the history and relationship between the animal and its ancestor.

Thus, the correct option is C.

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Global enterprises has just signed a $3 million contract. the contract calls for a payment of $0.5 million today, $0.9 million one year from today, and $1.6 million two years from today. what is this contract really worth today if global enterprises can earn 12 percent on its money?

Answers

The contract really worth today if global enterprises can earn 12 percent on its money will be 2.58 million.

What is a contract signing?

The participants that sign the agreement agree to the statement's provisions as well as their commercial duties.

Global enterprises have just signed a $3 million contract.

The contract calls for a payment of $0.5 million today, $0.9 million one year from today, and $1.6 million two years from today.

Then the contract really worth today if global enterprises can earn 12 percent on its money will be

Contract really worth today = 0.5m + (0.9m/1.12) + (1.6m/1.12²)

Contract really worth today = $2.579 million

Contract really worth today ≅ 2.58 million

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What is the main purpose of sustainable agriculture?

Answers

Answer the goal is to reduce the input of external energy and to substitute non-renewable energy sources with renewable sources

Sectional violence has been taking place in iraq between two islamic factions, the shi'ites and _____. taliban jihad sunnis

Answers

Answer:

Sunnis is the answer on OW.

Of the 34 cars in a parking lot, 12 are blue, 8 are red, 4 are white, and 10 are silver. in simplest form, what are the odds in favor that the next car that leaves the lot will be red or white? a. 6:11 b. 6:17 c. 17:6 d. 11:6

Answers

Answer:

see the attachment with the answer

Convert the density of surface sea water to metric tons/cubic meter. use the internet to look for the proper conversion factor, if needed.

Answers

Answer and Explanation: The density of surface seawater is 1.0273gcm3 1.0273 g c m 3 .

Explanation:

Ton Register [ton Reg]Cubic Meter [m^3]0.01 ton reg0.0283168466 m^30.1 ton reg0.2831684659 m^31 ton reg2.8316846592 m^3

In the long run, if inputs are increased by 10 percent and output increases by 5 percent, then __________ are said to exist.

Answers

In the long run, diseconomies of scale will exist as the inputs are raised by 10 percent and the output by 5 percent.

What are diseconomies of scale?

Diseconomy is the disadvantage of the financial and the economical sector of the long-run businesses that arise when the input and the cost of production are increased.

The input and the output are dependent on each other and the cost of production determines the financial gain or loss in a business. So, if the input and the output both are increasing then it will lead to diseconomy.

Therefore, the 10 percent increase in input and 5 percent increase in output leads to diseconomy.

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The tree in jacob's yard casts a shadow that is 27 feet long. jacob is 5 feet tall and casts a shadow that is 4.5 feet long. the two triangles formed are similar because the angle to the sun is the same. what is the height of the tree?

Answers

By using the fact that the two triangles are similar, we will conclude that the height of the tree is 30ft

How tall is the tree?

If the two triangles are similar, then the quotient between the height and the shadow length must be the same for both of them.

Then if H is the height of the tree we can write:

H/27ft = 5ft/4.5ft

Now we can solve this for H, we will get:

H = (5ft/4.5ft)*27ft = 30ft

So we can conclude that the height of the tree is 30ft.

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Answer:

30 feet, I just did it.

Explanation:

In the united states, what is minority status usually based on?

Answers

Answer:National,cultural and religious identityidentityidentity.

Explanation:

In this excerpt from "dover beach" by matthew arnold, which two lines or sets of lines suggest that the speaker has undergone a loss of faith?

Answers

Answer:

Option #2: "But now I only hear its melancholy, long, withdrawing roar,"Option #5: "And we are here as on a darkling plain swept with confused alarms of struggle and flight,"

Prompt:

Select the correct text in the passage.

In this excerpt from "Dover Beach" by Matthew Arnold, which two lines or sets of lines suggest that the speaker has undergone a loss of faith?

The Sea of Faith

Was once, too, at the full, and round earth's shore

[Option #1] Lay like the folds of a bright girdle furled.

[Option #2] But now I only hear

Its melancholy, long, withdrawing roar,

Retreating, to the breath

[Option #3] Of the night-wind, down the vast edges drear

And [censored] shingles of the world.

Ah, love, let us be true

To one another! for the world, which seems

[Option #4] To lie before us like a land of dreams,

So various, so beautiful, so new,

Hath really neither joy, nor love, nor light,

Nor certitude, nor peace, nor help for pain;

[Option #5] And we are here as on a darkling plain

Swept with confused alarms of struggle and flight,

Where ignorant armies clash by night.

Commentary: I hope that this helps you. The Lord bless you and keep you, my friend. Shalom

Choose the correct possessive form for each phrase

Answers


cuales frases xd no veo ninguna foto

An engineer is designing a television screen. the screen is shaped like a rectangle with a length of 43.6 inches. the ratio of the length of the rectangle to its width must be 16:9. what is the approximate length of the diagonal of the screen?

Answers

By using the given ratio, we will see that the diagonal measures 50 inches.

How to get the diagonal of the screen?

First, we know that the ratio between length and width is 16:9, and the length is 43.6 inches, then the width will be:

W = (9/16)*43.6 inches = 24.5 in

Now, the diagonal will be equal to the hypotenuse of a right triangle with catheti of 43.6 in and 24.5 in, by using Pythagorean's theorem we get:

[tex]D = \sqrt{(43.6in)^2 + (24.5in)^2} = 50 in[/tex]

We conclude that the diagonal measures 50 inches.

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The town should regulate the height of buildings allowed on main street

Answers

Answer:

Yes they should legit lol

Which of these pieces of data about an animal at the zoo is considered numerical data?

Answers

There is not any data attached to look at so I can answer the question.

How did frederick douglass push for an end to slavery brainly

Answers

Answer: Douglass regarded the Civil War as the fight to end slavery, but like many free blacks he urged President Lincoln to emancipate the slaves as a means of insuring that slavery would never again exist in the United States.

Make suggestions on how cyber savvy campaigns could overcome public apathy to deal with human rights violations

Answers

Cyber savvy is the computer and internet knowledgeable person who deals with the cyber system. Cyber savvy can overcome the indifferences by launching awareness campaigns.

What are human rights violations?

Human rights are the fundamental freedom and liberties that every individual have over their life. The violation of these rights can be due to denial or due to genocide, murder, torture, etc.

Campaigns can be used to overcome the indifference that deals with the violation act of the humans. Cyber help can be used to connect to a large number of people to make them aware of the negative impact of human rights violations.

Therefore, awareness campaigns can be launched to aware of violation acts.

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On october 1 a client pays a company the full 12000

Answers

Using the accrual method, the unearned revenue as of December 31 is $12,000.

What is Unearned revenue?

Unearned revenue can be defined as the amount a company received from their client for the service they are yet too rendered.

Since the company has received full balance for the services not yet provided. The unearned revenue as of December 31 will be $12,000.

Reason been that the amount that the client paid the company is for a year-long contract, hence the $12,000 represent a prepayment amount for the service the company is yet too rendered to their client

Thus, using the accrual method, the unearned revenue as of December 31 is $12,000.

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Which piece of evidence best supports the theme that power can corrupt people

Answers

Can you please show the different answer choices?

A certain reaction is first order in reactant a and second order in reactant b. if the concentration of both reactants are doubled, what happens to the reaction rate?

Answers

Answer:

Death Note

Explanation:

Now this is how Death Note works in a note book ya wrote someone first and last name and then they die IS THAT GREAT oki death is near but now as close as you think your probaly stillyounge so live you life to the fullest and BE CONFUSSLED

all of the following are types of education that you can recieve at a two year college except
A. Apprenticeship
B. developmental
C. transfer
D. Career

Answers

The correct answer is C

Given the balanced equation representing a reaction: h2 h + h what occurs during this reaction?

Answers

Answer:

What occurs is that energy is absorbed and bonds are broken. During the bond breaking, some energy is required to break the bonds. During the bond formation, some energy is released to the formation of the bonds.

Which of these happened during the great depression brainly

Answers

Answer:

lack of resources because of war and lots of slaves running away

"She is afraid of asking questions" means she had the intention to.

Answers

Answer:

True

I see no reason to say that if she didn't have the intention to.

Convert the following complex number into its polar representation -4i

Answers

The expression which represent the polar form of complex number -4i when converted into the polar form is 4(cos π+ isin π)

What is complex number?

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of number is written together. For example,

a+bi

Here, (a) is the real part while (b) is the imaginary part.

The complex number which need to convert into its polar representation is,

n=-4i

It can be rewritten as,

n=0-4i

The radius r of the polar form is,

r²=0²+(-4)²

r²=0+16

r=4

The value of cos theta is,

tan θ=0/-4

θ=tan⁻¹(0)

θ=π

Thus, the polar form is,

z=rcos θ+(r sin θ)i

z=-4(cos π+ isin π)

Thus, the expression which represent the polar form of complex number -4i when converted into the polar form is 4(cos π+ isin π)

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Read this excerpt from the people could fly "goodie-bye!" the old man called toby spoke to them, poor souls! and he was flyin gone. so they say. the overseer told it. the one called master said it was a lie, a trick of the light. the driver kept his mouth shut. which element of folktale is included in this excerpt? it has one version and is recounted the same way every time. it has different versions, depending on the storyteller. it is a story that relates to real historical events. it is passed down to generations through the written word.

Answers

The element of folktale that is included in this excerpt is; B) It has different versions, depending on the storyteller.

How to identify the element in an excerpt Passage?

Folktales are usually about ordinary people and everyday life. The stories include setting, characters, and a problem.

We are told that the old man called toby spoke to them, poor souls! and he was flying gone. Now, this we also see different answers from different people and as such we can say that this story has different versions depending on the storyteller.

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Which two genes are most likely to be affected by a crossing over event

Answers

Answer:

yes

Explanation:

yessss

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