You flip a fair coin until you see three tails in a row. What is the average number of headsthat you’ll see until gettingTTT?

Answers

Answer 1

Answer:

14

Step-by-step explanation:

From the given information:

suppose, Y is the number of times a coin is being flipped.

If the coin is flipped for the first time and we get H, then we have:

TTT = [tex]\dfrac{1}{2}(Y+1)[/tex]

Afterward, if we get H, then we waste two times plus the probability of this event [tex]\dfrac{1}{4}[/tex].

Therefore, we have : [tex]\dfrac{1}{4}(Y+2)[/tex]

Afterward, if we get H, then we waste three times plus the probability of this event [tex]\dfrac{1}{8}[/tex].

Therefore, we have : [tex]\dfrac{1}{8}(Y+3)[/tex]

If we got T at the third time, then;

T = [tex]\dfrac{1}{8}(3)[/tex]

Thus, average number of headsthat you’ll see until gettingTTT can be expressed as:

[tex]= \dfrac{1}{2}(Y+1)+ \dfrac{1}{4}(Y+2)+ \dfrac{1}{8}(Y+3)+ \dfrac{1}{8}(3)[/tex]

= 14


Related Questions

A package of fish weighs 2.5 pounds. The price is $3.50 per pound. What is the price of this package?

Answers

Answer:

$8.75

Step-by-step explanation:

If you do

$3.50 x 2.5 you get

$8.75

Cups of dog food is recommended for a 25 pound dog

Answers

Answer:

100 cups of food is for a 25 pound dog

I believe a hundred cups

What is a number multiplied by 12 is 84

Answers

Hey there! I'm happy to help!

Let's call our number n. Here is the information we have.

n×12=84

We want to figure out what n equals. To do this, we have to get it by itself in the equation. What we will do is cancel out the 12 by dividing both sides by 12.

n×12/12=84/12

n=7

Therefore, our number is 7.

Have a wonderful day! :D

Sarina throws a ball up into the air, and it falls on the ground nearby. The ball's height, in feet, is modeled by the function ƒ(x) = –x2 – x + 3, where x represents time in seconds. What's the height of the ball when Sarina throws it? Question 4 options: A) 4 feet B) 1 foot C) 3 feet D) 2 feet

Answers

Answer:

(C) 3 feet

Step-by-step explanation:

We have a function of f(x) here. When Sarina throws the ball, it has been 0 seconds since she threw it.

Since x represents the amount of seconds, we can find the height of the ball (f(x)) by substituting x in as 0.

[tex]-0^2 - 0 + 3[/tex]

0 squared is 0, 0 minus zero is 0, and 0+3 = 3, so

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

Meaning that when Sarina threw the ball, it's height was 3 feet.

Hope this helped!

Carmen has 1/6 of a loaf pumpkin bread. She cuts the loaf into six equal pieces and gives one piece to each of her six friends. How much of the whole loaf of bread does each of the six friends get?​

Answers

Answer:

each friend gets 1/36 of the loaf of pumpkin bread

Step-by-step explanation:

1/6 of a loaf

1/6 divided by 6

turn 6 into a fraction → 6/1

1/6 ÷6/1

to divide multiply the reciprocal 6/1 → 1/6

1/6 x 1/6 = 1/36

each friend get 1/36

OR

6/x = 1/6

x= 36

6/36

(−8r5t8)(−5rt) Please help

Answers

Answer:

40r^6t^9

Step-by-step explanation:

6x^2 + 9x = 0 :) please help !!

Answers

Solution for 6x^2+9x=0 equation:

Simplifying

6x2 + 9x = 0

Reorder the terms:

9x + 6x2 = 0

Solving

9x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.

3x(3 + 2x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying

3 + 2x = 0

Solving

3 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + 2x = 0 + -3

2x = 0 + -3

Combine like terms: 0 + -3 = -3

2x = -3

Divide each side by '2'.

x = -1.5

Simplifying

x = -1.5

Solution

x = {0, -1.5}

Factor x and constant terms from the left hand side: 3X (2x + 3) = 0
Divide both sides by a constant to simplify:
3X (2x + 3) = 0
———————— = X ( 2x/3 + 1) = 0
3

Isolate the x to one side:

X = -3/2 and x = 0

Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom right angle is 50 degrees. At the intersection of lines c and a, the top left angle is y degrees. What is the value of y? y = 30 y = 50 y = 110 y = 130

Answers

Answer:

y=50

Step-by-step explanation:

look at photo attached

Answer:

y=50

Step-by-step explanation:

on edge2021

what is the answer for 5(u-5)

Answers

Answer:

5u-25

Step-by-step explanation:

We have to simplify by distributing 5 to the variable and the number.

5(u-5)

5(u)5(-5)

5u-25

Find a parametrization of the circle of radius 3 in the xy-plane, centered at (−2,2), oriented counterclockwise. The point (1,2) should correspond to t=0. Use t as the parameter for all of your answers.

Answers

Answer:

x = 3*cos(t) - 2  

y = 3*sin(t) + 2  

Step-by-step explanation:

The equation for a circle of radius 3 and centered at the point ( h , k )           (  -2 , 2 ) is:

( x - h )²  +  (  y  - k )²  = r²

In this particular case

h = - 2   k = 2    and  r = 3

Then to parametrizace the equation

x  = r* cos(t) +  h

y = r*sin(t)  + k

x =  3*cos(t) + (- 2)       ⇒   x = 3*cos(t) - 2    

y = 3 *sin(t) + (2)          ⇒   y = 3*sin(t) + 2

Now :

when t = 0   x should be  1

Then   x = 3 cos(0) - 2      x  = 3 - 2        x  = 1

and t = 0   y should be 2

Then   y = 3*sin(t) + 2    ⇒  y =  3*sin(0) + 2       y  =  2

19. If a school board determines that there should be 3 teachers for every 50 students, how many teachers are needed for an enrollment of 5400 students?​

Answers

Answer:

324 teachers

Step-by-step explanation:

3 teachers of every 50 students

__ teachers of 5400 students

so,

[tex]5400 \div 50 = 108[/tex]

therefore,

[tex]3 \times 108 = 324[/tex]

There would be 324 teachers needed for enrollment

GUYS I MESSED UP ON THE LAST ONE PLEASE HELP ME AGAIN what algebraic expression represents GK

Answers

Answer:

GK = 9x-5

Step-by-step explanation:

GK = GH +HJ + JK

= (GJ - HJ) + (HJ) + (HK - HJ)

= (4x-3-x) + (x) + (6x-2-x)

= 3x-3 + x + 5x-2

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

GK = 9x-5

Please answer the second conversion. Convert 25 ML to L

Answers

Answer:

0.025 l

Hope it helped u if yes mark me BRAINLIEST

Your cell phone dies. Cost of repair is $20 plus $16 per hour. You have $68 for the repair. How many hours can you afford?

Answers

Answer:

3 hours

Step-by-step explanation:

$20 + $16 = $36 base

$36 + $16 = $52

$52 + $16 = $68

3 HOURS

if Xandy are integers and(x-y)=4, what is the main minimum possibile value of xy? ​

Answers

Answer:

-4

Step-by-step explanation:

Hello,

x-y=4 <=> x=y+4

so, xy=y(y+4)

[tex]y(y+4)=y^2+4y=(y+2)^2-4[/tex]

so this is minimum for y = -2 and the minimum value is -4

thanks

Please show me how to solve this! Y^7Z^3/y^4z

Answers

Answer:

(y^3)(z^2)

Step-by-step explanation:

subtract the common based exponents

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

[tex]\sf{\dfrac{y^7z^3}{y^4z}}\\\\=\tt{\dfrac{y^7}{y^4}×\dfrac{z^3}{z^1}}\\\\=\tt{y^{(7-4)}×z^{(3-1)}}\\\\=\tt{(y^3)×(z^2)}\\\\\pmb{\green{\boxed{\bold{y^3z^2}}}}[/tex] 

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

Select the correct answer.
What is the solution for x in the equation?
-4 + 5x - 7 = 10 + 3x - 2x
A.x=4/21
B.x=21/4
C.x=13/4
D.x=4/13

Answers

Answer:

B

Step-by-step explanation:

I've taken a picture of the way I solved it.

The required simplified solution of the given expression is x=21/4. Option B is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
-4 + 5x - 7 = 10 + 3x - 2x,


Adding alike terms and And isolate the terms containing variable x,
-11 + 5x = 10 +x
5x - x = 10 + 11
4x = 21
x = 21 / 4

Thus, the required simplified solution of the given expression is x=21/4. Option B is correct.

Learn more about simplification here:

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What are t + 8 + 3t terms and like

Answers

Answer:

t+8+3t

8+4t

Step-by-step explanation:

I guess the question is incomplete

i cant understand any of these if you guys can help that’d be great!

Answers

You need to make the denominators in the equation the same to add or subtract fractions. Pick a denominator both can multiply up to. ( this is called the least common denominator. Look it up if your unsure) so if the denominators were 2 and 3, multiply them so they both are 6. You have to multiple the numerator then too ( what you do to the bottom of the fraction, you must also do to the top) so if your fraction was 1/3 and you multiplied 3 by 2 to get 6, you would also have to multiple the 1 by 2 so then your fraction is 2/6. Once you have done that you can subtract the numerators like normal, just keep the denominators the same. So 2/6 - 1/6 = 1/6. When you have equations with mixed numbers, turn those into improper fractions first. Ex. 1 1/4 you would multiply the one on the outside of the fraction by the denominator and then add the numerator. 1 1/4 = 5/4. Then add or subtract like normal. Remember to keep your denominator the same ALWAYS when subtracting and adding fractions. Hope this helps!

Answer:

1. -9/20

2.  1  7/12

3.  -4  1/3

Step-by-step explanation:

When adding and subtracting fractions with unlike denominators, you must first make them like denominators. To do this we must:

1. Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).

2. Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.

3. Then add (or subtract) the fractions, as we wish!

The easiest way to this is by multiplying the denominators. Remember that whatever you do to the bottom, you also do to the top

1. -5/4 +4/5

if we multiply 4 and 5, we get 20. Our denominator will be 20 before we simplify.

our new equation is going to be -25/20 + 16/20. Now we can add these together to get an answer of -9/20. Which is in the simplist form.

One more thing: to make a mixed number an improper fraction, you multiply the whole number by the denominator, and add the numerator.

1X4=4

4+1=5

The improper fraction is 5/4.

To make a Whole number a fraction, multiply the number by the denominator

-5x3=15

The improper is -15/3.

To go from an improper to a mixed, divide the numerator by the denominator. The remainders are going to be the fraction attached.

write the sentence as an equation


the product of y and 6, add to 310 is y

Answers

y(6)+310=y

equals is =

product of is ×

add to is +

what is 2k-3(2k-3)=45

Answers

Answer:

k = -9

Step-by-step explanation:

Please help find the perimeter and area of the polygon

Answers

It’s P for 58 if you just add all the numbers it will be 58 so it’s 338 square feet

if f(x)=4x^2-6

find all x such that f(x)= 106

Answers

Answer:

50

Step-by-step explanation:

Answer:

[tex]2\sqrt7,-2\sqrt7[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=4x^2-6[/tex]

And we want to find all x such that f(x) is 106. So, substitute 106 for f(x):

[tex]106=4x^2-6[/tex]

Add 6 to both sides:

[tex]112=4x^2[/tex]

Divide both sides by 4:

[tex]x^2=28[/tex]

Take the square root of both sides:

[tex]x=\pm\sqrt{28}[/tex]

Simplify the square root:

[tex]x=\pm\sqrt{28}=\pm\sqrt{4\cdot 7}=\pm2\sqrt7[/tex]

So, those are the two values that will satisfy our requirement.

And we're done!

Determine the volume of fluid in the graduated cylinder shown.

Answers

12.8 is correct. exp:there are 10 smaller lines in between 12 and 13, and the water is filled to two lines below 13.

An 8ft length of 4 inch wide crown molding costs $15. How much will it cost to buy 24 ft of crown molding?

Answers

Answer: 123$

Step-by-step explanation:

I dont even know but this gives me free five points

it will cost $123 to buy

The XYZ Car Rental Agency charges a flat rate $29 per day plus $0.32 per mile driven Write and algebraic expression for the rental cost of a car for x days that is driven y miles

Answers

$29 per day
x = number of days
$.32 = per mile driven
y = number of miles

29x + 0.32y

Mateo He’s going to solve the equation below. Which of the following represents the equation after combining the terms? -8x +23-22+9=182

Answers

Answer:

-21.5

Step-by-step explanation:

-8x+23-22+9=182

-8x+1+9=182

-8x+10=182

     -10   -10

-8x=172

x=172÷-8

x=-21.5

-21.5 IS THE ANSWER

which expression is equivalent to -14-6

Answers

Option B should be the correct answer

on a function map, the values for the domain of the function appear on the ______ and the values for the range appear on the _______​

Answers

Answer:

domain is x

range is y

Step-by-step explanation:

The values for the domain of the function appear on the x-axis and the values for the range appear on the y-axis.

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

The range is the interval where the function f(x) is defined whereas the domain is the input interval of the independent variable (x).

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Hence "The values for the domain of the function appear on the x-axis and the values for the range appear on the y-axis".

For more details about the range and domain of the function,

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What is 7x+7=2(x+1)

Answers

Answer:

7X+7=2(X+1)

7X+7=2X+2

7x-2X =2-7

5X/5 =-5/5

. X =-1

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