A single coin is flipped four times. A) Use an organizational strategy to construct the sample space for this situation. B) How many different outcomes are possible?

Answers

Answer 1

Step-by-step explanation:

- A single coin is known to have 2 sides (The head H and the tail T).

The total number of sample space for n number of coins is expressed as 2ⁿ where

n is the total number of coins flipped.

If a single coin is flipped four times, the total outcome will be expressed as;

2⁴ = 16

Hence there are 16 different possible outcomes.

- To construct the sample space (the 16 possible outcomes)

For one flipped coin, the sample space is represented by the set S₁

S₁ = {H, T}

H is Head

T is Tail

For two flipped coin, the sample space is represented by the set S₂

S₂ = S₁×S₁

S₂ = {H, T}×{H,T}

S₂ ={HH, HT, TH, TT}

For three flipped coin, the sample space is represented by the set S₃

S₃ = S₂×S₁

S₃ = {HH, HT, TH, TT}×{H,T}

S₃ = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For four flipped coin, the sample space is represented by the set S₄

S₄ = S₃×S₁

S₄ = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}×{H,T}

S₄ ={HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}

Hence the sample space for a single coin flipped 4times is given by the set;

S₄ ={HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}  where;

n(S₄) = 16


Related Questions

In a survey, a group of students were asked their favorite sport. Eighteen students chose “other” sports.

Answers

Answer:

22.5% Hope this helps

Step-by-step explanation:

Answer:

22.5%

Step-by-step explanation:

After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?

Answers

Answer:

20

Step-by-step explanation:

hello just grinding

a vehicle rental company charges $25 to rent a moving van plus $50 for each mile traveled . which equation represents the total cost of renting a van if you spend a total of $35 and drive , d mile

Answers

Answer:

25+d(0.50)

Step-by-step explanation:

It costs 25 dollars to rent a vehical but its 50 cents per each mile.

What is the result of adding these two equations?
4x-4y=-2
-9x-4y=-3

Answers

(4x-4y) + (-9x-4y) = -2 + -3
gather like terms :
4x-9x-4y-4y = -5
-5x-8y = -5

Write the equation of a line in point-slope form that is parallel to y=5X-2 and goes through the point (2,3)
Slope: m =
Slope-Intercept Form: y = mx + b
Point Slope Form: y - y = m(x - 1)

Answers

Answer:

y - 3 = 5(x - 2)

Step-by-step explanation:

The answer is Y=5x-7

Factor −3 out of −27a−12.

Answers

Answer:

-3(9a + 4)

Step-by-step explanation:

Factor −3 out of −27a−12.... basically divide each term by -3

-3(9a + 4)... please check if by multiplying -3 you still get (-27a - 12)

12 1/2 of 32=

please answer

Answers

Answer:

400

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Find the measure of angle
Angle 1 is congruent to Angle 2

Answers

Answer:

angle 1 = angle 2 = 17 degrees

3(x + 1) = -2(x - 1) - 4

Answers

Answer:

x = -1

Step-by-step explanation:

1. Distribute

3x + 3 = -2x + 2 - 4

2. Simplify

-2x + 2 - 4

2-4 = -2

-2x - 2

3. Solve

3x + 3 = -2x - 2

+2x       +2x

4. Cont. Solving

5x + 3 = -2

     -3     -3

5x = -5

5. Divide by 5

5x = -5

/5      /5

x = -1

Hope this helped,

Kavitha Banarjee

Write the phrase as an algebraic
expression:
a. Seven times the difference of two and a
number
b. Six less than h

Answers

It is b. Good luck six less than

The smallest exterior angle of a polygon is 40degrees the largest exterior angle is 80 degrees a) what is the smallest possible number of sides b) what is the largest possible number of sides

Answers

Answer:

a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides

b) The largest possible number of sides of the polygon is a regular polygon with 9 sides

Step-by-step explanation:

a) The smallest exterior angle of the polygon = 40°

The largest exterior angle of the polygon = 80°

Therefore, we have the interior angles are;

The smallest interior angle of the polygon = 180° - 40° = 140°

The largest interior angle of the polygon = 180° - 80° = 100°

Therefore, we have

The interior angles of a regular polygon are given by the following formula;

[tex]Interior \ angle =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

For an interior angle of 100°, we have;

[tex]100^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

100/180 × n = n - 2

2 = n - 100/180 × n = 4/9·n

2 = 4/9·n

n = 18/4 = 4.5

Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides

b) For 140°, we have;

[tex]140^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

140/180 × n = n - 2

2 = n - 140/180 × n = 2/9·n

2 = 2/9·n

n = 18/2 = 9

n = 9 sides

Therefore, the largest possible number of sides = 9 Sides.

The equation below represents how much money Addy makes delivering papers. In the equation p represents the number of papers delivered and d represents the money per paper delivered. D = .45p Create a context, a unit rate, and an equation for someone who delivers papers and makes more than both Addy and Rachel.

Answers

Step-by-step explanation:

Step one:

we are given the equation for Addy And Rachel's earning as

[tex]D =0.45p[/tex]-------------1

Step two:

Context creation

Say john earns $0.9  per paper he delivers, estimate how much he would earn to deliver 10 papers

let the amount earn be y and the number of papers delivered be x

the equation is

y=0.9x

for x=10

y=0.9(10)

y=$9

We can see that John's unit rate is more than Addy's unit rate

someone please help

What is the solution to the system of equations below?
4x + 8y = 24
12y = 4x - 30

Answers

X= 33/5
Y= -3/10

Hope this helps

Answer:

(33/5 , -3/10)

Step-by-step explanation:

What is the measure of ZSTR?
O 24°
O 38°
48°
O 76°

Answers

Answer:

24 degrees

Step-by-step explanation:

24 is 1/2 of 48

The triangle and the trapezoid share a 15-inch base and a height of 10 inches. A. The area of the trapezoid is less than twice the area of the triangle. Find the values of x. Explain your reasoning.

Answers

Answer:

Possible values of x are whole numbers that are lesser than 15 inches

Step-by-step explanation:

We are given;

Base; b = 15 inches

Height; h = 10 inches

Formula for area of triangle is;

A_tria = ½bh

A_tria = ½ × 15 × 10

A_tria = 75 Sq.in

Now, formula for trapezoid is;

A_trapez = ½(a + b)h

Where a is the side parallel to the base.

We are told that the area of the trapezoid is less than twice the area of the triangle.

Thus;

½(a + 15)10 < 2(75)

Simplifying;

5(a + 15) < 150

Divide both sides by 5 to get;

a + 15 < 150/5

a + 15 < 30

Subtract 15 from both sides to get;

a < 30 - 15

a < 15

Possible values of x are whole numbers that are lesser than 15 inches

❗️URGENT NEED ASAP❗️
Given functions,

f(x) = -5x – 14 g(x) = -02 + 9x - 1

find f(9) + g(-2)

Answers

Answer:

Step-by-step explanation:

❗️URGENT NEED ASAP❗️

Given functions,

f(x) = -5x – 14 g(x) = -02 + 9x - 1

find f(9) + g(-2)

Answer:

Functions! Nice.

Step-by-step explanation:

This is a pretty simple concept.

What it wants you to do is to input those values inside the parentheses(9 or -2) into those equations for x. Then, you will have to add those values that you get.

If you didn't understand, watch and learn!

[tex]for x=9\\f(9)=-5(9)-14\\f(9)=-59\\[/tex]

Now try to do that for the second equation, but this time, have x as -2.

(I also can't solve the last one because I can't make sense of the equation. What is 02?)

Stay Safe!

P.S. When you find the answer to that second one, just add it to the first answer, and you'll get the final answer.

PLEASE ANSWER FAST !!!!!!!!!!!!!!
A line passes through (3, 7) and (6, 9). Which equation best represents the line?

y = 3 over 2x + 5
y = 2 over 3x + 5
y = 3x + 2
y = 2 over 3x + 2

Answers

Answer:

B. [tex]y = \frac{2}{3} x + 5[/tex]

Step-by-step explanation:

Let's use the slope equation first. The slope equation is as follows:

[tex]\frac{y2-y1}{x2-x1} = slope[/tex]

This is what is given in the equation:

Point (3,7)Point (6,9)

Let's label each component of the equation using these points:

y2 = 9

y1 = 7

x2 = 6

x1 = 3

Now, plug these into the equation

[tex]\frac{9-7}{6-3} = \frac{2}{3}[/tex]

We can now eliminate A and C of the answer choices.

Now let's find the y intercept

Right now we have the following equation

[tex]y = \frac{2}{3} x+ (y intercept)[/tex]

In order to find the y intercept we need to plug in one of the given points into the equation. Let's use point (3,7).

The equation should look like this now:

[tex]7 = \frac{2}{3}(3) + (yintercept)[/tex]

Now lets solve for the y-intercept

[tex]7 = \frac{2}{3}(3) + (yintercept)\\7 = \frac{6}{3} + (yintercept)\\7 = 2 + (yintercept) \\5 = yintercept[/tex]

Now that we found the y-intercept is 5 we have our full equation!

[tex]y = \frac{2}{3} x + 5[/tex]

Hope this helps!!

- Kay

HELP ASAP I HAVE TO GET IT DONE!!


Solve for x in the diagram below

Answers

The answer is x=25! I hope this helps!

A speedly biker can travel 5 km per t hours.which of the following expression best illustrates the situation?

Answers

Answer:

Sorry this does not make sense

Have a good thanksgiving

so far, Jim has burned 5.22 calories. He wants to burn a total of 600 calories. how many more calories must jim burn?

Answers

Answer:

594.78

Step-by-step explanation:

600-5.22 = 594.78

Answer:The answer should be 626.4

Step-by-step explanation:

How to use distributive property to find 12 + 20 ?

Answers

Answer:

The distributive property states that  

 

a*(b + c) = a*b + a*c  

 

You can use the distributive property in reverse to factor out a common factor from the sum of 2 numbers.  If you realize that 12 = 4*3 and 20 = 4*5 then you can write  

 

12 + 20 = 4*3 + 4*5 = 4*(3 + 5)

HELPPPPPP NOWWWWWE PLEASEEEE

Answers

Answer:

answer is C

Step-by-step explanation:

because they make linear

I believe the answer is D to make a linear.

Which of the following equations has a slope of 4 and passes through point (2, 5)?
0000
y = 4x + 2
y = 4x + 5
y = 4x - 3
y = 4x - 8

Answers

Answer: y = 4x - 3
Explanation: 5 = 4x2 - 3

if 8 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km​

Answers

Answer:

Step-by-step explanation:

8 litres of petrol cover's =60km

For 1km petrol required=8/60 litre

For 50 km petrol required=8x50/60 litre

=6.66 litre is the answer

Please help with the question in the photo above please!!!

Answers

Answer: -5

Step-by-step explanation:

Answer:

-5 is the correct answer

Given
f
(
x
)
=
1
2
(
8

x
)
, what is the value of
f
(

10
)
?

Answers

Answer:

3 Tell me if this help you

If (x-9) is a factor of 2x^2 - 19x + k, what is the value of k?

Answers

Answer:

18

Step-by-step explanation:

18 hope this help if it I’m sorry


Given f (x) = 2x² +1evaluate f (-1).

Answers

Answer:

3

Step-by-step explanation:

f(x) = 2x^2 + 1

f(-1) means that wherever you see an x on the right hand side, you substitute -1.

f(-1) = 2(-1)^2 + 1 = 2 + 1 = 3

The answer is 3 I checked!!!!!!!!!!

Use inductive reasoning to predict the next line in this sequence of computations. Then use


a calculator or perform the arithmetic by hand to determine whether your conjecture is


correct.


9.3+5 = 32


99.3 + 5 = 302


999. 3+5 = 3002


9999.3+5 = 30002


Make a conjecture by predicting the correct numbers in the line below.


0-3+5 -0


Is the conjecture correct?


O A. Yes


OB. No

Answers

Answer and explanation:

Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.

B. The conjecture 0-3+5 -0 is incorrect

Given the above sequence of computations, we use inductive reasoning to predict the next computation

The correct next conjecture is

99999.3+5= 300002

Which equation or inequality represents the following description:
A number times six is greater than five times the number plus one.
A. 6x < 5x + 1
B. 6x = 5x + 1
C. 6x > 5x + 1
D. 6x > 5x + 1

Answers

Answer:

6x > 5x + 1

Step-by-step explanation:

6 times a number is 6x

is greater than is 6x >

than five time the number is 5x

plus one is 5x +1

all together it is 6x > 5x + 1

Answer: just to give person above brainliest.

Step-by-step explanation:

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