What is the probability of getting tails 4 times in a row while flipping a coin?

Answers

Answer 1

Answer:

[tex]P=0.0625[/tex]

Step-by-step explanation:

The probability of getting one tails is a half.

The probability of getting another tails given you had a tails is:

[tex]\frac{1}{2}*\frac{1}{2}=(\frac{1}{2})^2=\frac{1}{4}[/tex]

The probability of getting n tails in general is given by:

[tex](\frac{1}{2})^n = \frac{1}{2^n}[/tex]

So, when we have four tails - our value for n is four.

[tex](\frac{1}{2})^4=\frac{1}{2^4}=\frac{1}{16}=0.0625[/tex]


Related Questions

Hosn is a picture framer. He is framing a picture that is 24 inches by 32 inches with a
frame that is 2.5 inches wide. What is the outer perimeter of the framed picture In yards, feet, and inches.​

Answers

Answer: 122 sq. in.

Step-by-step explanation:

P = 2 (l + w)

P = 2 (34.5 + 26.5)

P = 2 x 61

P = 122 sq. in. = 0.847 sq ft = 0.0941 sq. yards

Perimeter is the sum of the side lengths of a shape. The outer perimeter of the framed picture is:

132 inches3.67 yard11 feet

Given that:

[tex]Length = 24in\\Width = 32in[/tex]

The width of the frame is given as:

[tex]Frame =2.5in[/tex]

So, the actual length and width of the framed picture is:

[tex]Length =24 + 2.5 + 2.5[/tex]

[tex]Length =29in[/tex]

[tex]Width = 32 + 2.5 + 2.5[/tex]

[tex]Width = 37in[/tex]

The outer perimeter (P) in inches is:

[tex]P= 2 \times (Length + Width)[/tex]

So, we have:

[tex]P= 2 \times (29in + 37in)[/tex]

[tex]P= 132in[/tex]

The perimeter in yard, is as follows:

[tex]P= \frac{132}{36}yd[/tex]

[tex]P = 3.67yd[/tex]

The perimeter in feet is as follows:

[tex]P= \frac{132}{12}ft[/tex]

[tex]P = 11ft[/tex]

Hence, the outer perimeter of the frame is 132 inches

Read more about perimeters at:

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A chemical is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas.

Answers

Answer;

Explanation:

CHECK THE COMPLETE QUESTION BELOW:

chemist is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas. Explain these observations.

ideal gas reffered to as one that has the collisions between its atoms or molecules perfectly eleastic and in which there are no intermolecular attractive forces existing between them. The ideal gas concept is important because it obeys the ideal gas law.

Which is PV=nRT

Where P is the pressure

T is the Temperature

V is the Volume

R is ideal gas constant

n is amount of substance

The ideal gas model assumes that gas particles experience no intermolecular attractions. These are the behavior of gases under different condition

✓At low temperature, gas particles move slowly.

-✓At high pressures, gas particles are very close together.

✓ When the particles of gases are close they have low speed and their low speed allow intermolecular forces to become important at high pressure and low temperature.

OBSERVATION S:

At room temperature which is comfortable ambient temperature, generally taken as about 20°C to 25C

Gases behave non ideally at cold temperatures, So when the gas is cooled to 10Kelvin, molecules are moving relatively slowly past one another, then they give room for the repulsive and/or attractive forces between their molecules giving room for deviation from an Ideal Gas.

The intermolecular forces cause the gas to deviate from ideal behavior So, the reason why a gas deviate from ideal behaviour may be due to some two assumptions of kinetic theory of gases. The forces of attraction between gas molecules are negligible. When the gas is placed under high pressure the gas molecules get more crowded and the amount of empty space between the molecules is reduced.

--

Answer:

Ideal gas explains the property of gas that has no inter-molecular attractions irrespective of temperature and pressure.

Explanation:

Ideal gases assumes that the gases would experience no inter-molecular attraction and collision with other gases.

These gases are perfectly exhibiting elastic collision in nature.

The particle of gases moves slowly at lower temperature and the gases would become close when they exhibit high pressure.

The "closeness of the gas-particle" and "low-speed characteristics" are the important observations noted.

The inter-molecular forces deviate the property of gases from ideal gas behavior.

Step-by-step explanation:

Johann baked 24 cookies for a picnic with his
friends. Of the 10 friends he invited, 7 friends
were able to attend the picnic. If Johann gave -
each of his friends the same number of
cookies and had 3 cookies left for himself, how
many did each friend get?

Answers

Answer: Each friend got 3 cookies.

Step-by-step explanation:

Johann gets three cookies so 24-3=21. Divide it by the seven friends that came. 21/7=3 cookies.

Answer:

Step-by-step explanation:

So 7 of his friends came to the party and 3 cookies were left for himself. To find how many cookies each friend got, first subtract the 3 cookies Johann has from the total.

24-3=21

Then divide 21 by the number of friends.

21÷7=3

So each friend got 3 cookies.

solve the system of equations below. x-2y=3 2x-3y=9

Answers

Answer: x = 9, y = 3

Step-by-step explanation:

9 - 2(3) = 3

9 - 6 = 3

2(9) - 3(3) = 9

18 - 9 = 9

Answer:

x=9, y= 3

Step-by-step explanation:

x-2y=3

2x-3y=9

Multiply the first equation by -2

-2x +4y = -6

Add this to the second equation

-2x +4y = -6

2x-3y=9

------------------

   y = 3

Now find x

x -2y =3

x -2(3) = 3

x-6 = 3

Add 6 to each side

x = 9

Can someone please help me with this?

Answers

Answer: x= -3 + 2[tex]\sqrt{2\\}[/tex] or -3 -2 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

(sorry don't know how to put in equations here)

Answer:

Answer: x= -3 + 2\sqrt{2\\} or -3 -2 \sqrt{2}

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16

Answers

Answer:

Given below

Step-by-step explanation:

The algebraic identity is (a-b)^2

= a^2 + b^2 - 2ab

So it'll be,

(x-4)^2

= x^2 + (4)^2 - (2)(x)(4)

= x^2 -8x + 16

or x^2 +16 -8x

The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).

What is algebra?

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

The expression is given in the question, as follows:

(x-4)²

As we know that the sum of square identity (a-b)² = a² + b² - 2ab

So x² + (4)² - (2)(x)(4)

x² -8x + 16 or

x² + 16 -8x

This expression is equivalent to the given expression.

Hence, the correct answer would be an option (C).

To learn more about the Algebra link is given below.

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Solve for y: 5-3y - 8y = 121 *

Answers

Answer:

y= -116/11

Step-by-step explanation:

5-3y-8y=121

5-11y=121

5-5-11y=121-5

-11y=116

-11y/-11=116/-11

y= -116/11

y= 10.5 , subtract 5 from 121, add -3y & -8y together, then divide by -11y to get your answer.

What would be the answer and how would i get it?

Answers

Answer: c

Step-by-step explanation:

I very easy solve for x> then you take -3 -2 1,0 in order to get your answer

Answer:

x = {-3, -2, -1, 0, 1}

Step-by-step explanation:

We need to find the set that satisfies the inequality x > -4 ∩ x ≤ 1.

∩ means find the members that are common between two sets.

This means that we need to find the set of all integers that satisfy x > -4 and x ≤ 1

So, to find the low end, we find the lowest integer that satisfies x > -4, which is -3.

Now, to find the high end, we find highest integer that satisfies x ≤ 1, which is 1.

So x = {-3, -2, -1, 0, 1}

What is the contrapositive of the conditional statement? If two variables are directly proportional in the graph is a linear function

Answers

Is there a picture ? This question resolves a picture

Please explain and show work. In the function f(x)=cos⁡x, f(x) is multiplied by a factor of 3, x is replaced with 4x and 5 is added to the function. Explain the effects this has on the graph of the function (i.e. horizontally, vertically, compressed, stretched, etc.).

Answers

Your graph will actually look like an oscillation (wave), it will be more compressed horizontally. As the value of x increases withe very whole number, your graph will compress horizontally. More like in the image below.

In a condominium complex, 2/3 of the women are married to 3/4 of the women. What part of the entire population is married? Please show work

Answers

Answer:

(QUESTION CORRECTNESS : 2/3 OF MEN ARE MARRIED TO 3/4 OF WOMEN)

Part of Entire Population married = 12/17 = 70.58%

Step-by-step explanation:

Fraction of men married:

[tex]\frac{2}{3}=\frac{4}{6}=\frac{6}{9}=\frac{8}{12}..........[/tex]

Fraction of women married:

[tex]\frac{3}{4}=\frac{6}{8}=\frac{9}{12}=\frac{12}{16} .........[/tex]

To solve the problem, we know that number of husbands should be equal to number of wives.

Number of husbands and wives are represented by the numerators of both fractions.

We have to find such a multiple of each fraction such that there numerator are same.

Let fraction of men married:  [tex]\frac{6}{9}[/tex]

Let fraction of women married:  [tex]\frac{6}{8}[/tex]

Add the numerators and denominator to find the solution:

[tex]\frac{6+6}{9+8}= \frac{12}{17}[/tex]

The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories,c, in 9 cups of yogurt

Answers

Answer:

5 9

----- = ------

750 x

Step-by-step explanation:

Answer:

750 / 5  = c / 9

Step-by-step explanation:

What’s the logarithmic form equation?

Answers

Answer: i hope this will help you

a^x=y this is a simple equation

where as loga(in the base) y=x this is a logarithmic equation

I will give you brainliest!!!! Which term best describes the slope of this line?

Answers

Answer:

zero

Step-by-step explanation:

The line is a horizontal line

Horizontal lines are of the form y= constant

This means they have zero slope

It’s zero because there is no slope and if it’s a straight horizontal line it’s a 0

In Need OF HELP !!!!!!!! ​

Answers

The answer you’re looking for is B

this camera stuff stinks but i need help on this

Answers

Answer: 4.2

Step-by-step explanation:

the coefficient is the number used to multiply a variable. here, the variable is x, and it is being multiplied by 4.2.

so the coefficient of the equation is 4.2

Expand and Simplify (x+7)(x+5)

Answers

Answer:

[tex]=x^2+12x+35[/tex]

Step-by-step explanation:

[tex]\left(x+7\right)\left(x+5\right)[/tex]

[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]a=x,\:b=7,\:c=x,\:d=5\\=xx+x\cdot \:5+7x+7\cdot \:5\\=xx+5x+7x+7\cdot \:5\\=x^2+12x+35[/tex]

x^2+5x+7x+35
and then final simplified answer is going to be x^2+12x+35

Given f(x) = -2x³ + x² - 2 find f(1)

Answers

Answer:

-3

Step-by-step explanation:

[tex]f(x)=-2x^3+x^2-2 \\\\f(1)=-2(1)^3+(1)^2-2= \\\\-2+1-2=\\\\-3[/tex]

Hope this helps!

The table shows ordered pairs of the function y = 16 + 0.5x .

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.
Which ordered pair could be the missing values represented by (x, y)?

(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)

Answers

Answer: The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation: The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight line graph.

The ordered pairs simply means for every value of x, there is a corresponding value of y.

The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row for example, the pair is given as (-4, 14).

This means when x equals negative 4, y equals 14.

Where y = 16 + 0.5x

y = 16 + 0.5(-4)

y = 16 + (-2)

y = 16 - 2

y = 14

Therefore the first pair, just like the other four pairs all satisfy the equation.

Hence, looking at the options given, we can determine which satisfies the equation

(option 1) When x = 0

y = 16 + 0.5(0)

y = 16 + 0

y = 16

(0, 16)

(option 2) When x = 5

y = 16 + 0.5(5)

y = 16 + 2.5

y = 18.5

(5, 18.5)

(option 3) When x = 8

y = 16 + 0.5(8)

y = 16 + 4

y = 20

(8, 20)

From our calculations, the third option (8, 20)  is the correct ordered pair that would fill in the missing values x and y.

Answer:

The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation:

Need answers quick. Find the endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−6,−6) Midpoint: (−2,0)

Answers

Answer: The second endpoint is  (2,6)

Step-by-step explanation:

[tex]\frac{-6 +x}{2}[/tex] = -2  solve for x  

-6 +x = -4

+6        +6

x= 2

[tex]\frac{-6+y}{2} = 0[/tex]  

-6 + y = 0

+6         +6

 y= 6

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

5 days

Step-by-step explanation:

Since the burrito stand uses 1/2 of a bag of tortillas, take 2 1/2 divided by 1/2 to find how many days the tortillas will last.

2.5/0.5 = 5 days

Put these in size order
5.6x10^-7
8.6x10^-9
5.6x10^-8

Answers

Answer:

Largest: [tex]5.6*10^{-7}[/tex]

Middle: [tex]5.6*10^{-8}[/tex]

Smallest: [tex]8.6*10^{-9}[/tex]

Step-by-step explanation:

Largest: [tex]5.6*10^{-7}[/tex] because -7 is the largest of the 3.

Middle: [tex]5.6*10^{-8}[/tex] because -8 is smaller than -7 but greater than -9

Smallest: [tex]8.6*10^{-9}[/tex] because -9 is the smallest of the 3

What is the relation between the variables in the equation x= -3/y? a. y varies directly as x c. y varies jointly as x b. y varies inversely as x d. none of the above

Answers

Answer:

(b)

Step-by-step explanation:

This is inverse variation.  As y increases (but not allowed to be zero), x decreases.  Thus, (b) is correct:  y varies inversely with x.

The relation between the variables in the equation x= -3/y. Thus, (b) is correct, y varies inversely with x.

What is directly proportional and inversely proportional relationship?

Let there are two variables p and q,

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]  

where, that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then, m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by;

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As , increasing one variable will decrease the other variable if both are inversely proportional.

Here the relation between the variables in the equation x= -3/y;

This is inverse variation, As y increases (but not allowed to be zero), x decreases.

Thus, (b) is correct, y varies inversely with x.

Learn more about directly inversely proportional relationship variable here:

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John bought a new home in 2002. The value of the home increases 4% each year. If the price of the house is $375,000 in 2020, how much did he pay for it in 2002?

Answers

Using the formula of P(1 + r)^n = x where p represents the initial value, r represents the rate and n represents the number of years and x is our final output. We want to find P so we have to make it the subject of the equation.

1 + 0.04 = 1.04
1.04^18 = 2.025816515
Then divide the total amount by this to get 185,110.5454
Therefore the answer is $185,110.55

Hope this helps! :)




Helen has only 10 questions left to do of her Math homework. She
has 120 minutes before it's her bedtime and it takes 5 minutes to do
each Math question. Describe the pattern and determine how much
time she will have available after her homework is complete.

A)Start at 120 and add 5 each time. She will have 70 minutes of free time after she finishes her math questions.

B) Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions.

C)Start at 120 and subtract 5 each time. She will have 75 minutes of free time after she finishes her Math questions.

D) Start at 120 and subtract 5 each time. She will not have enough time to complete all of her math questions.​

Answers

Answer:

B. Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions
B, each question is 5 minutes, so it will take her 50 minutes for her to finish her homework and yu subtract that from 120 and she will have 70 minutes left.

What is the area of the rhombus shown below?

Answers

Answer:

A. 97.5 square units

Step-by-step explanation:

==>Given:

Rhombus ABCD with the following dimensions:

diagonal 1 (d1) = BD = 15

diagonal 2 (d2) = AC = 13

AB = 9.9

==>Required:

Area of the rhombus

==>Solution:

Since we know the length of the 2 diagonals, area of the rhombus can be calculated using A = ½ × d1 × d2

Area = ½ × 15 × 13

A = ½ × 195

A = 97.5 square units

Answer:

A

Step-by-step explanation:

What is the value of [2/3]-4

Answers

Answer:

option 4

Step-by-step explanation:

[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\(\frac{2}{3})^{-4}=(\frac{1}{\frac{2}{3}})^{4}\\\\=(\frac{3}{2})^{4}\\\\=\frac{3^{4}}{2^{4}}\\\\=\frac{81}{16}[/tex]

The sum of the interior angles of a polygon is 8,100. How many sides does the polygon have?

Answers

Answer:

explanation below

Step-by-step explanation:

(n - 2) * 180 = 8100

n - 2 = 8100/180

n - 2 = 45

n = 45 + 2

n = 47 sides <---answer

happy to help ya :)

Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

No because to be a function, each dot on the graph would need to be located at its own x value. Looking at the graph you see two dots located at x = 5 so it is not a function.

No because x= 5 so yea

What are the answers? No hurry; I just have other things to do.

Answers

Answer:

what u need help with

Step-by-step explanation:

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