A coin is flipped five times. Find the number of possible sets of heads and tails that have at most 3 heads

Answers

Answer 1

Answer:

[tex]Sets = 27[/tex]

Step-by-step explanation:

Given

[tex]Coin = 1[/tex]

[tex]Toss = 5[/tex]

Required

Number of outcomes with at most 3 heads

First, we list out the sample space of a toss of coin 5 times

[tex](HHHHH)[/tex], [tex](HHHHT)[/tex], [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], [tex](THHHH)[/tex], [tex](HTHTH)[/tex], [tex](THTHT)[/tex], [tex](HHTHH)[/tex], [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](HHHTH)[/tex], [tex](TTTHT)[/tex]

Next, we list out all outcomes with at most 3 heads

, , [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], , [tex](HTHTH)[/tex], [tex](THTHT)[/tex], , [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](TTTHT)[/tex]

So, the number of set is:

[tex]Sets = 27[/tex]


Related Questions

GIVING BRAINLIEST!! Which of the following ordered pairs lies on the graph of y = tanx?

(5 pi, 0)
(-9pi/4, 1) <---- this is wrong
(-5pi, -1)
(pi/6, √3)

Answers

Answer:

[tex](5\pi ,0)[/tex]

Find the area.

A hexagon with side length 6m.

Answers

Answer:

93.53m.

Step-by-step explanation:

.

what is the binary 11110-10101​

Answers

the binary is 1001 hope it helps

PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:


A) (.....+2a)^2=.....+12ab+4*....


B) (3x+.....)^2=....*x^2+.....+49y^2

Answers

Answer:

I only have the answer for B

Step-by-step explanation:

This is the answer: 1st blank: 7y

2nd blank: 9

3rd blank: 42xy

Take -4 + 3a 2 from 7a - a 2.

Answers

Answer:

Refer to the attachment!~

p(x)=x2-1;x=-2 find wheter the following zeroes of the pollynomials are indicated towsrds them​

Answers

Given:

The polynomial is:

[tex]p(x)=x^2-1[/tex]

To find:

Whether [tex]x=-2[/tex] is a zero of the given polynomial or not.

Solution:

If [tex]x=c[/tex] is a zero of a polynomial, then [tex]f(c)=0[/tex].

We have,

[tex]p(x)=x^2-1[/tex]

Putting [tex]x=-2[/tex] in the given polynomial.

[tex]p(-2)=(-2)^2-1[/tex]

[tex]p(-2)=4-1[/tex]

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

Since [tex]p(-2)\neq 0[/tex], therefore [tex]x=-2[/tex] is not a zero of the given polynomial.

choose the equation that's the line that passes through the point (-2,-3) and has a slope of -6

Answers

Answer:

Y = -6X - 15

Step-by-step explanation:

-3 = -6(-2) + B

-3 = 12 + B

B= -15

Answer:

You didn't attach the options, but y = - 6x - 15

Step-by-step explanation:

Using the equation y = mx + b, you can plug in values that you have to solve for b, the y intercept. Since m is the slope and the slope is - 6, and you have a y and x value, you can write the equation as follows:

-3 = - 6 * -2 + b

Then solve for b

-3 = 12 + b

-15 = b

Then you rewrite the original formula with the values of m and b:

y = - 6x - 15

Drag the tiles to the correct boxes to complete the pairs match the scale drawing area and the actual area to the correct scale

Answers

Answer:

[tex](a)\ r = 1in : 9ft[/tex]

[tex](b)\ r = 1 in: 15ft[/tex]

[tex](c)\ r = 1 in: 16ft[/tex]

[tex](d)\ r = 1in:4ft[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The scale of each area

The scale ratio (r) is calculated as:

[tex]r = scale:actual[/tex]

So, we have:

(a)  scale : 13 square inches  and actual : 117 square feet

[tex]r = 13in : 117ft[/tex]

Divide by 13

[tex]r = 1in: 9ft[/tex]

(b) scale : 5 square inches  and actual : 125 square feet

[tex]r = 5in : 125ft[/tex]

Divide by 5

[tex]r = 1in : 25ft[/tex]

(c) scale : 8 square inches  and actual : 128 square feet

[tex]r = 8in : 128ft[/tex]

Divide by 8

[tex]r = 1in : 16ft[/tex]

 

(d) scale : 12 square inches  and actual : 48 square feet

[tex]r = 12in : 48ft[/tex]

Divide by 12

[tex]r = 1in:4ft[/tex]

use the order of operations -5 + 3(7.2 - 3.2)

Answers

Answer:

-5 + 3(7.2 - 3.2) equals 7.

Step-by-step explanation:

The order of operations states the order in which different mathematical operations should be done first, you can use the mnemonic PEMDAS to remember the order to complete each operation. PEMDAS states that the order must be followed as Parenthesis, Exponents, Multiplication/Division, and Addition/Subtraction. In the expression -5 + 3(7.2 - 3.2), the three mathematical operations being used are subtraction, multiplication, and parenthesis, so based on PEMDAS, the order to complete them is parenthesis, multiplication, and subtraction. -5 + 3(7.2 - 3.2) = -5 + 3(4) = -5 + 12 = 7, so that is your final answer.

[tex]\displaystyle\bf -5+3(7.2-3.2)=7\\\\1)\:7.2-3.2=4\\\\2)\:4\cdot3=12\\\\3)\:12-5=7[/tex]

The difference of twice a number and five is three.Find the number.Translate the world problem to an equation.Which steps describe how to solve the equation?

Answers

Answer:

Step-by-step explanation:

let the number=x

2x-5=3

2x=3+5

2x=8

x=8/2=4

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.
Passing through (-3, -6) and (2,9)
What is the equation of the line in point-slope form?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
What is the equation of the line in slope-intercept form?

Answers

Answer:

slope-inercept form: y = 3x + 3        point-slope form: y - 9 = 3(x - 2)

Step-by-step explanation:

slope-intercept form:

y2 - y1 / x2 - x1        

9 - (-6)/ 2 - (-3)      

= 3

y = 3x + b

9 = 3(2) + b

9 = 6 + b

3 = b

y = 3x + 3

point-slope form:

y - 9 = 3(x - 2)

cross out 3 digits in the number 51489704 so that the number remaining is divisible by 45

Answers

Answer:

1,152

Step-by-step explanation:

So here, we shall be removing random numbers

For ease, since the number is divisible by 45: it is advisable to end the selected number with zero

So we have it that;

we are crossing the first 4, 9 and 7

So, we are left with;

51,840

dividing this by 45 will give 1,152

El solar de Maria tiene forma rectangular los lados miden 36 cm y 40 cm ¿Cuántos metros cuadrados tiene el terreno? ¿Cuál es el perímetro del terreno?

Answers

Respuesta:

Área del rectángulo = 0.144m²

Perímetro del rectángulo = 1,52 m²

Explicación paso a paso:

Dado que el área del rectángulo = Largo * Ancho

Convertir cm a m

Los 36cm = los 0.36m

Los 40cm = los 0.4m

Sustituir;

Área del rectángulo = 0.36 * 0.4

Área del rectángulo = 0.144m²

Perímetro del rectángulo = 2 (L + W)

Perímetro del rectángulo = 2 (0.36 + 0.4)

Perímetro del rectángulo = 2 (0,76)

Perímetro del rectángulo = 1,52 m²

What are the solutions to X2 + 8X + 7 = 0?

Answers

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

[tex]x=-1,-7[/tex]

Step-by-step explanation:

[tex]x^2+8x+7=0[/tex] where a [tex]\neq[/tex] 0 so a = 1 b = 8 c = 7

Quadratic Formula: [tex]x=-b\frac{\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=-8\frac{\sqrt{64-28} }{2}[/tex]     Evaluate the exponent and multiply 4ac

[tex]x=-8\frac{\sqrt{36} }{2}[/tex]          Subtract b^2 - 4ac and multiply 2a

[tex]x=-8\frac{\sqrt{6} }{2}[/tex]           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7


Nicole invested $1600 in an account that pays 4.75% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Nicole would have in the account 18 years after her initial investment. Round to the nearest tenth (if necessary ).

Answers

Answer:

2968

Step-by-step explanation:

SOMEONE PLEASE HELP!!

Answers

Answer:

RV = 18

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18

On vacation, Tim plans to spend less than $30 a day. If he spends $12 for food, what is the greatest number of dollars he can spend per day on other things? (Express in whole dollars.) Write an inequality and solve.

Answers

Answer:

So, Tim spent maximum $ 18 dollars on other things

Step-by-step explanation:

Total spent per day is less than $ 30.

Money spent on food= $ 12

So, the maximum amount amount spent on the things is

= $ 30 - $ 12 = $ 18

So, Tim spent maximum $ 18 dollars on other things.

Using the approximation of 5 miles = 8 km

How many km is 12.5 miles?

Answers

20 km
12.5 miles = (12.5*8)/5 = 20 km

Answer:

20km is in 12.5miles

Step-by-step explanation:

5miles= 8km

12.5miles=xkm

12.5÷5miles=2.5miles

2.5miles/km

2.5×8km=20km

Does the point (7, 2) satisfy the equation y = x - 5? yes no​

Answers

Yes

Replace x in the equation with the x in the solution and see if t equals the y in the solution:

Y = 7-5 = 2

The answer is yes.

A pair of linear equations is shown
y=-3x5
y=x+2
Which of the following statements best explains the steps to solve the pair of equations graphically?
on a graph, find the point of intersection stwo lines; the first line has y-intercept - 5 and slope - -3, and the second line has y-intercept = 2 and slope - 1.
On a graph, find the point of intersection of two lines, the first line has y-intercept -3 and slope - 5, and the second line has y-intercept - 1 and slope - 2.
On a graph, find the point of intersection of two lines, the first line has y-intercept -- and slope - 3, and the second line has y-intercept = -2 and slope --1
On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope -5, and the second line has y-intercept -1 and slope --2.

Answers

Answer:

y=-3×5

so'n

y=-15ans

another has no number only one number 2 alphabets

Where do the light-dependent reactions of photosynthesis occur in a plant cell? Choose 1 answer:
A) Chloroplast; stroma
B) Mitochondrion: thylakoid membrane
C) Chloroplast; thylakoid membrane
D) Chloroplast: outer membrane​

Answers

Answer:

C) Chloroplast; thylakoid membrane

Step-by-step explanation:

The question is a biological science question

The light-dependent reactions also known as the light reactions take place at the location site of the chlorophyll of the plant cell, within the chloroplast thylakoid membrane, and involves the energizing of the electrons within the pigment molecules, the electrons are then transferred through a transport chain within the thylakoid membrane

The dark reactions take place inside the stroma

Therefore, the correct option is chloroplast; thylakoid membrane

Please help me... I stink at math

Answers

Answer:

142 [tex]cm^3\\[/tex]

Step-by-step explanation:

You have to do [tex](7*5)+(5*3)+(7*3)+(7*3)+(5*7)+(3*5)[/tex].

This equals 142 [tex]cm^3\\[/tex].

Answer:

The answer is 142cm

Step-by-step explanation:

What is y?
[tex]8^{y+2}=\frac{2^4}{4^{2y}}[/tex]

Can someone please explain to me in details and show me the steps TvT?

Answers

Answer:

y = -2/7

Step-by-step explanation:

8^(y+2) = 2^4/4^(2y)

you want to on both sides so you can solve for the exponents

8= 2^3

4= 2^2

2^3y+6 = 2^4/2^(4y)

2^(3y+6) = 2^(4-4y)

3y + 6 = 4 - 4y

7y = -2

y = -2/7

Benjamin writes an expression for the sum of 1 cubed, 2 cubed, and 3 cubed -- What is the value of the expression? options---
18, 36, 38, or 20-- ANSWER FAST!!!

Answers

Answer:

36

Step-by-step explanation:

1^3 + 2^3 + 3^3= 1+8+27

9+27= 36

Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit?

Answers

Answer:

What are the statements?

Step-by-step explanation:

which statement proves that polygon ABCD is not a rectangle

Answers

Answer:

ummm u did not add the statements to the question

Step-by-step explanation:

but a polygon ABCD might not be a rectangle if:

opposite sides of polygon ABCD are not of equal lengthsall angles of the polygon may not be right angles (90°)opposite sides may not be parallel

Use slope to determine if lines AB and CD are parallel, perpendicular, or neither. A(0,2), B(5,4), C(1,8), and D(3,3). What is the slope of line CD? Enter as a ratio in its lowest terms.

Answers

Answer:

Perpendicular, CD has a slope of -5/2

Step-by-step explanation:

Parallel lines have the same slope, perpendicular have slopes that are negative reciprocals, or in other words if one slope is m then the other's slope is -1/m and if it is neither fo those then it is neither parallel or perpendicular.  Also,  if two lines have the same slope you have to make sure they are not the same line.  

Now, to find the slope  when you have two points you use the formula (y2 - y1)/(x2 - x1), where the points are (x1, y1) and (x2, y2).  You can make either point point 1 or point 2.  Just make sure x1 and y1 are from one point and x2 and y2 are from the other point.  

So the two lines are AB and CD.  Since the question asks I will start with CD.  The points are (1,8) and (3,3)  So I will call C point 1 and D point 2.  

(y2 - y1)/(x2 - x1)

(3 - 8)/(3 - 1)

-5/2

Thankfully this is lowest terms.

Now for AB.  A will be point 1 and B will be point 2

(y2 - y1)/(x2 - x1)

(4-2)/(5-0)

2/5

So they are not the same, so what if you take negative 1 over one of the slopes.  

well. -1/(2/5) = -5/2

So these are perpendicular.  

If you would like an explanation for how to find the full equation of a line I can explain that.  

Surveying Indiana high school students about virtual learning or e-learning by sampling all of the students from only some of the online schools in Indiana would be a type of sampling known as cluster sampling.

True
False

Answers

Answer: True

Each high school in Indiana is considered a cluster. Let's say there are 1000 high schools in that state. That would mean there are 1000 clusters.

You would then randomly select say 5 clusters. Once those selections are made, you would then survey every student at those five schools selected. The number of clusters selected will depend on the situation of course.

Prove:tan^3x/sin^2x-1/sinx.cosx+cot^3x/cos^2x=tan^3x+cot^3x

Answers

Answer:

picture above my answer is the answer you asked

No trolling please. I will mark brainlist

Answers

x= Kaden
Quan= 15

4/5 (3x-10) = 15
12/5x-8 = 15
12x- 40= 75
12x= 40+ 75
12x = 115
x= 115/12
x= 9.583

Answer:

A) $35.80

B) $28.64

Step-by-step explanation:

I'm not sure tho it might be wrong

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