use the binomial theorem to determine the number of ways 1, 2, 3, and 4 heads can occur when four fair coins are flipped

Answers

Answer 1

If you write everything down, you can get 0,1,2,3 or 4 heads. The probabilities are: 1/16, 4/16, 6/16, 4/16, and 1/16. Notice, the probabilities add up to 16/16 = 1. You toss 4 fair coins.

What is probabilities?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

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Related Questions

HELP PLEASE!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is A.) y=-500x+22,000

What is the graph of the function
f(x)=−⌊x⌋

Answers

Answer:

Step-by-step explanation:

The equation being shown in the question is the absolute value of x. Absolute values when graphed show up as a V-shaped graph pointing upwards. This is because whatever value is passed as an input will output a positive, regardless of whether the input is positive or negative. Meaning that both 4 and -4 will output 4. That is why the graph is a V-shaped because the outputs repeat for both positive and negative inputs. In this case since the negative is outside the absolute value brackets the positive value given from the absolute value of the input will be turned into a negative. So this will cause the V-shape graph to be reflected across the x-axis. As seen in the attached picture below.

Answer: This is the correct answer
I just took the test. :)

Step-by-step explanation:

A city built a new subway system in 2001. This graph shows the daily number of mass transit trips and the daily number of car trips people took in that city through 2007. What does the data show?
A) As the number of mass transit trips increase, so do the number of car trips.
B) The number of mass transit trips first exceeded the number of car trips in 2005.
C) The number of car trips has decreased every year since the subway system was built.
D)According to the data, the number of mass transit trips and the number of car trips do not appear to be related.

Answers

Answer:

C.

Step-by-step explanation:

This is the correct answer, because ever since the transit system was made, car rides went down and down.

Please help me best one gets brainlist and 5/5

Answers

Answer:

8

Step-by-step explanation:

Area π 1.5^2 = 7.07cm^2

Volume = 56.52 /7  = 8cm

So go for the 4th answer = 8

What is the slope and equation of a line parallel to the y-axis passing through point (-4,3)

Answers

Answer:

-4 is x and 3 is y

Step-by-step explanation:

Please help!! Thanks!

Answers

I hope this helps you

1) DC=60

AD=AC=60/2=30

AB=BC=30/2=15

DB=DA+AB=30+15=45

2) RQT is right triangle we can find the side

6^2+8^2=RT^2

36+64=RT^2

RT=10

Since you got the answer Me wondering why Johnny bought 500 bananas and wants to find the line on a graph with no information when the problem is 500 x 2

Question 3
Write the rational number as a decimal.

Answers

Answer: -2.2

Step-by-step explanation:

-10 is the most possible that can be divided by 5, resulting in -2.

The leftover 1 is divided by 5, resulting in .2.

The decimal ends up being -2.2.

Answer:

-2.2 or -1.2

Step-by-step explanation:

When you want to write a decimal as a fraction, you simply divide the numerator with the denominator. So when you divide -11 by five that would be a -2.2. Or if it is -1 1/5 the answer would be -1.2. I cant really tell what that number is.

1300000 divided by 1300​

Answers

Answer:

1,000

Step-by-step explanation:

1,300,000 ÷ 1,300 = 1,000

1,300,000 divided by 1,300 = 1,000

A small airplane is approaching a stationary crowd at 100 meters per second. The engine of the plane is emitting a sound of 485 Hz. What is the apparent frequency as it approaches the crowd?

Answers

Answer:

695.87 Hz

Step-by-step explanation:

Using the equation for Doppler shift, the frequency of the apparent sound is f' = f(v ± v')/(v ± v") where f = frequency of sound emitted by the plane's engine = 485 Hz, v = speed of sound in air = 330 m/s, v' = speed of crowd(detector) = 0 m/s (since the crowd are stationary) and v" = speed of plane(source) = 100 m/s

So, f' = f(v ± v')/(v ± v")

f' = f(v ± 0)/(v ± v")

f' = fv/(v ± v")

Since the source moves towards the detector, we use a minus a minus sign in the denominator to get a shift upwards in frequency since a shift upwards means the objects are moving closer to each other.

So,

f' = fv/(v - v")

Substituting the values of the variables into the equation, we have

f' = 485 Hz × 330 m/s/(330 m/s - 100 m/s)

f' = 160050 Hzm/s ÷ 230 m/s

f' = 695.87 Hz

Find the distance between points.

Answers

Answer:

3 units

Step-by-step explanation:

Here, The distance between two points is 3 units

-TheUnknownScientist

the topic is piecewise functions, can someone help? i’m a little confused :)

Answers

Given:

The piecewise function is:

[tex]f(x)=\begin{cases}x+5&x<-2\\x^2+2x+3&x\geq -2\end{cases}[/tex]

To find:

The values of [tex]f(-4),f(-2),f(0),f(3)[/tex].

Solution:

For [tex]x<-2[/tex], the function is

[tex]f(x)=x+5[/tex]

For [tex]x\geq -2[/tex], the function is

[tex]f(x)=x^2+2x+3[/tex]

a) The value of [tex]f(-4)[/tex] is:

[tex]f(-4)=-4+5[/tex]

[tex]f(-4)=1[/tex]

b) The value of [tex]f(-2)[/tex] is:

[tex]f(-2)=(-2)^2+2(-2)+3[/tex]

[tex]f(-2)=4-4+3[/tex]

[tex]f(-2)=3[/tex]

c) The value of [tex]f(0)[/tex] is:

[tex]f(0)=(0)^2+2(0)+3[/tex]

[tex]f(0)=0-0+3[/tex]

[tex]f(0)=3[/tex]

d) The value of [tex]f(3)[/tex] is:

[tex]f(3)=(3)^2+2(3)+3[/tex]

[tex]f(3)=9+6+3[/tex]

[tex]f(3)=18[/tex]

Therefore, the required values are [tex]f(-4)=1,f(-2)=3,f(0)=3,f(3)=18[/tex].

I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

The first one is correct. But why can't they be proven congruent

Step-by-step explanation:

1st ones correct but 2nd one should be they are alike

What is 58 x 564 please tell me

Answers

Answer:

that is the answer 32,712

Step-by-step explanation:

your welcome.

sorry I times it by 54 instead of 58

the answer is 32,712

PLEASE ANSWER QUICK! ANYONE WHO ANSWERS WITH A LINK OR FILE WILL BE REPORTED! BRAINLIEST GOES TO ANYONE WHO ANSWERS CORRECTLY!
Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they are a party of 12. The total bill after the automatic 15% gratuity was $213.90. Because they received such good service, the group decided to add an extra $20 to the total bill as an additional tip.
So, instead of leaving a 15% tip, Javier and his friends ended up leaving a tip that was about _% of the food bill.

Answers

i’m pretty sure it’s 16.4%

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

9514 1404 393

Answer:

  B.  (2, 1)

Step-by-step explanation:

As a first guess you might say the right angle will be at the point that has the x-coordinate of A (2) and the y-coordinate of B (1).

You notice that the point (2, 1) is on the list of answer choices, so that is a good choice.

The coordinates of C could be (2, 1).

__

Or, you can plot the points and see what forms a right triangle.

What’s the answer to this?!!!!!

Answers

Step-by-step explanation:

here

(3 + 4i) + (8 + 2i)

Answer choices
11 - 6i
5 + 12i
7 + 10i
11 + 6i

Answers

Answer:

11+6i

Step-by-step explanation:

vectors addition

(3+8) +(4i+2i)

11+6i

what is 10c + 20 = 40 C =

Answers

Answer: c = 2

Step-by-step explanation:

First you write out your equation: 10c + 20 = 40

Next, since the equation is adding, you can subtract 20 the constant on both sides of the equation:

10c + 20 = 40

      - 20    - 20  

The 20s cancel each other out and 40 - 20 is 20.

Our new equation looks like: 10c = 20

Now to find the value of C you are going to divide 10 on both sides because the equation is multiplying.

10c divided by 10 is just c and 20 divided by 10 is 2.

Therefore, you are left with c = 2

hope this helps have a nice day :)

Please help me with this.

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

4x - 35 = 234

Solve for 'x'.

Answers

Answer:

X= 67.25

Step-by-step explanation:

4x-35=234

Add 35 to both sides

4x= 269

Divide both sides by 4

X= 67.25

Answer:

x = 67,25

Step-by-step explanation:

Here it is given that,

x is an unknown to know. Since we are intelligent students, we will bring the unknowns to the left limb, and the numbers known in the right limb.

[tex]\:[/tex]

We can write this matematically as,

[tex]\rightarrow 4x - 35 =234[/tex]

Move the constant to the right,

[tex]\rightarrow 4x =234 + 35[/tex]

Add the numbers,

[tex]\rightarrow 4x =269[/tex]

Divide both sides of the equation by 4,

[tex]\rightarrow x =\frac{269}{4}[/tex]

We determine the value of x,

[tex]\rightarrow \underline {x=67,25}[/tex]

Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?

A. y = - 2/3 x + 10
B. y = - 2/3 x +2.7
C. y = - 2/3 x + 7
D. y = - 2/3 x + 13

pls explain the answer if possible ^^​

Answers

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: [tex]-4\frac{1}{2}[/tex]. Substitute [tex]-4\frac{1}{2}[/tex] for x and 10 for y in the equation, then solve:  

[tex]y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10[/tex]

10 does equal 10, so this is a true statement. Option C is the right answer.

The diameter of a spherical basketball is 10 inches.
What is the volume of the basketball2
Give the exact solution.
Volume


I NEED THE ANSWER FAST HELPP PLEASE

Answers

Answer:

Step-by-step explanation:

Rounded volume: 524 cubic inches.

Step-by-step solution:

The formula for the volume of a sphere is:

Where r is the radius of the sphere.

The radius is half the diameter, therefore it is r=10/2=5

We plug it into the formula and we get:

Then we get:

If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches .

22. If the measure of angle 2 is 35°, what is the measure of angle 6?

Answers

Answer:a.35 degrees b. 145 degrees

Step-by-step explanation: angle 2 and angle 6 are equal they are corresponding

Angle 2 and angle 8 are supplementary they equal 180. So 180-35=145

Bernadette has recently opened her own soup store. It costs her $360 a month plus $2.50 for each bowl of soup she makes. Bernadette charges $5.50 for each bowl of soup. What's the minimum number of bowls Bernadette would need to sell to make a profit each month? Explain.

Answers

Answer: I don't know if it is multiplication or addition but here are the answers.

Step-by-step explanation:  

$360 * $2.50 * $5.50= 4950

$360 + $ 2.50 + $5.50=368

Jimrgrant or Anyone solve this PLZZZZZZ

Answers

Answer:

it is B and D

Step-by-step explanation:

mark brainliest or 5 stars and heart

correct me if im wrong

Answer:

B and A

Step-by-step explanation:

Calculate distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

(1) with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 8)

d = [tex]\sqrt{6-0)^2+(8-0)^2}[/tex]

   =  √(6² + 8²)

   = √ (36 + 64)

    = √ 100

     = 10  → B

(2)

Using (x₁, y₁ ) = (- 5, 3) and (x₂, y₂ ) = (3, 15)

d = √ (3 + 5)² + (15 - 3)²

   = √ 8² + 12²

   = √ 64 + 144

    = √ 208

    ≈ 14.4 ( to the nearest tenth ) → A


Inez was chosen by her teacher to find the integer that has a square root
closest to 3 without going over and write it on the board. Which correct
answer did Inez write on the board?
A. 6
B. 8
C. 10
D. 12

Answers

B. 8, since 8 is one the closest numbers to nine and is smaller than 9.

A factor of a number that, when multiplied by itself, gives the original number is called a square root.

The square root of 3 is 9.

The integer that has the nearest to the integer that has a square root of 3 is √10.

What is a square root?

A factor of a number that, when multiplied by itself, gives the original number.

We have,

9 is a square root of 3.

The nearest square root of 3 can be 8 or 10.

The value of the square root of 8.

= √8

= 2.83

The value of the square root of 10:

= √10

= 3.16

The nearest can be determined by finding out the difference between each of its values with 3.

For √8,

= 3 - 2.83

= 0.17

For √10,

= 3.16 - 3

= 0.16

We see that √10 is nearest to the integer that has a square root of 3.

Thus the integer that has the nearest to the integer that has a square root of 3 is √10.

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The difference between three times a number and 6 is 33.
I need to write an equation for this someone help!

Answers

Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13

li writes the expression “half of the sum of 9 and a number.” Write an algebraic expression that is equivalent to Ali’s expression. Write a second algebraic expression that is different from, but equivalent to, your first expression. Respond in the space provided.

Answers

Answer:

Step-by-step explanation:

.......

Answer:

The expression will be : (x+9) /2

What is algebraic expression?

An algebraic expression is an expression built up from integer constants , variables , and the algebraic operations.

Let us take the number to be : x

Now, ( half of the sum of 9 and a number ) will be : (x+9)/2

Dividing x and 9 with 2 we get,

the second expression which is different but equivalent to first will be :

=0.5 x + 4.5

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Graph the equation by translating y = |x|.

y = |x – 3| – 4


Graph b


Graph a


Graph d


Graph c

Answers

Answer:

graph d it's your answer plz make me brainy least

Answer:

d

Step-by-step explanation:

What is the slope of the
line that passes through the
points (-12, -5) and (0, -8)?

Answers

Answer:

I think its - 2/3

Step-by-step explanation:

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2783 in one decimal place PROJECT: VIRTUAL LABS CIRCUITS PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! In pea plants, two stem lengths are possible: tall (T) and dwarf (t). Tall is dominant to dwarf. a. In a purebred tall plant, what gametes are possible? ___________________ b. In a purebred dwarf plant, what gametes are possible? ___________________ c. What is the genotype of a purebred tall plant? ___________________ d. What is the genotype of a purebred dwarf plant? Bryant Company has a factory machine with a book value of $93,100 and a remaining useful life of 5 years. It can be sold for $27,200. A new machine is available at a cost of $430,400. This machine will have a 5-year useful life with no salvage value. The new machine will lower annual variable manufacturing costs from $592,600 to $505,500. Prepare an analysis showing whether the old machine should be retained or replaced. (04.05 MC)Which claim best supports the cycling of carbon through the spheres of Earth? solve the riddle for points and crown 243 to the 1/5 power PLEASE HELP THIS IS SUPER EASY!!! Please explain in detail. In what ways did the Treaty of Versailles prepare the ground for WWII? Neutrophils can sometimes kill human cells along with pathogens when they release the toxic contents of their granules into the surrounding tissue. Likewise, natural killer cells target human cells for destruction. Explain why it is advantageous for the immune system to have cells that can kill human cells as well as pathogens. PLZ needed now plz URGENT! What is the correct answer for each box Sandra notices a fourth racer called the Whirlwind. Its poster says it covers 1232 yards in 180 seconds. She wants to compare the Whirlwind with the other racers. What is the Whirlwind's speed in yards per seconds to the nearest tenth? Red light waves have a longer wavelength than violet light waves. What can you conclude from this? Larry and Jack are playing a game of rock-paper-scissors. The probability that Larry will win two times in a row is. Using this probability, determine if the event of Larry winning the first game and the second game was independent, dependent, both, or neither. adverbial phraseverb phrasenoun phraseSentenceType of PhraseFew people understood Michelle's exaggerated explanation.arrowRightHe has been playing the cello at schools for ages.arrowRightWe worked on the framework for a very long time.arrowRight Which of the following trends in the 1920s was a cause of the Great Depression?Americans built up personal debt borrowing and using credit to pay for things.Americans refused to play the stock market.The farmland in the Great Plains was not developed.Banks made a lot of very safe loans. Suppose that P, is invested in a savings account where interest is compounded continuously at 6% per year. When will the investment double itself? Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation? pls help!! this is due in like 5 mins :/. (ill give u brainiest if u dont provide a link just pls help me!)