A fair coin is tossed 3 consecutive times. What is the probability that the result of the first toss is heads and the results of the next two are tails?
A: 1/8
B: 1/6
C: 1/2
D: 1/4

Answers

Answer 1

Answer: a). 1/8

Step-by-step explanation:

If the coin is fair, then the odds of getting heads or tails should be equal, 12.

Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.


Related Questions

What is the measure of

Answers

Answer:

since it goes down a certain way and it goes down then B will go the same way as a evil ghost literally down to the phone the top right to the left like see if I just a little bit shorter Jay will go all the way up to age and we will go to k

PLEASE HELP ASAP 20 POINTS

Answers

Answer:

1. 200

2. 50

Step-by-step explanation:

1. you put 10 over 5 as a proportion with x over 100 on the other side

2. you put 5 over 10 as a proportion with x over 100 on the other side

PLEASE HELP A.S.A.P.!

Solve the equation:

|x-1|+|x-2|=3

Answers

X=3

Explanation-

(x-1)+(x-2)=3
x-1+(x-2)=3
x-1+x-2=3
Then collect the two like terms
x-1+x-2=3=
2x-1-2=3
Calculate the difference
x-1+x-2=3=
2x-3=3
———————
2x-3=3
Move the constant to the right-hand side and change its sign
2x=3+3
———————————————————-
2x=3+3
Add the numbers

2x=6
————————————————-
2x=6

Divide both sides of the equation by two

X=3

There you go. Have a great day! :)

The mean of 5 numbers is 8.four of the numbers are 7,9,11 and 5.find the fifth number.

Answers

Answer:

  8

Step-by-step explanation:

One way to solve problems involving the mean of a data set is to consider the way the numbers relate to the mean.

When we subtract the mean from the given numbers, we find the differences are ...

  -1, 1, 3, -3

The sum of these differences is 0. The missing number will make the toal of all differences from the mean be zero. Since it is already zero, the missing number is the mean. The missing number is 8.

The correlation between two scores X and Y equals 0.75. If both scores were converted to Z-scores, then the correlation between the z-scores
for X and z-scores for Y would be
-0.75
0.25
-0.25
0.0
0.75

Answers

Answer:

  (e)  0.75

Step-by-step explanation:

The correlation coefficient is not affected by translation or scaling of scores. Converting them from "raw scores" to z-scores does not affect their correlation.

The correlation coefficient of the z-scores is 0.75.

PLS no links. Can someone help me with question 2

Answers

Answer:

Step-by-step explanation:

take figure a and dilate it bigger by 3 that will mean it is bigger and the shapes will be the same.

What is the solution to h/-24<_18?

Answers

Answer:

h   ≥  -432

Step-by-step explanation:

h/-24<=18

Multiply though by -24:

h  ≥  -24*18

h   ≥  -432  

Note: the inequality signs flips as we are multiplying both sides by a negative value.

Lee says 20% is more than 70% of 70% of 20. Is lee correct?

Answers

Answer:

yes

Step-by-step explanation:

75/100×75/100=49/100

49/100×20=8.58.5 % Is more than 20%

I will give you brainlyest and give you points​

Answers

Answer:

VOL_cone is 70.7

which is LESS THAN

the vol of cylinder. VOL_cyl is 71.6

Step-by-step explanation:

Volume of a cone:

V= (1/3)pi•r^2 • h

=(1/3)pi•3^2 • 7.5

= 70.7 cubic inches

(rounded to tenths this is the same if you use a pi key on the calculator or if you use 3.14)

The Volume of a cylinder:

V = pi•r^2 • h

= pi• 2.25^2 • 4.5

= 71.6 cubic inches

(more accurate with pi key, using 3.14 it rounds to 71.5)

The last blank could be the words "less than" but if they are asking for a fraction or percent, calculate by putting the big number on the bottom and the smaller number on top.

Find the measure of the missing angles. 25 d e f​

Answers

Can you take a picture of the shape

A cone-shaped lampshade has a height of 18 cm and a slant height of 19.5 cm. Find the lateral surface area of the lampshade.

Answers

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{19.5^2-18^2}=r\implies \sqrt{56.25}=r \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=\sqrt{56.25} \end{cases}\implies \begin{array}{llll} LA=\pi \sqrt{56.25}\stackrel{slant~height}{(19.5)} \\\\\\ LA\approx 459.46~cm^2 \end{array}[/tex]

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?

Answers

Answer:

1/8

Step-by-step explanation:

●●○•°°°□□●○○○○○••••

What is the length of a line segment with endpoints 3, 2, and -3, -4, in
the simplest radical form

Answers

[tex] \qquad \qquad \qquad\large\overbrace{\underbrace{\underline{ \boxed{ \sf \:Answer }}}}[/tex]

Let's use distance formula :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {6}^{2} + {6}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {6}^{2}(1 + 1) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 6\sqrt{ 2 } \: \: units[/tex]

Please help correct answer wins crowns

Answers

Answer:

Given equation: x + 2y = 7

Rearrange the given equation to make y the subject:

      [tex]\sf x + 2y = 7[/tex]

[tex]\sf \implies 2y=7-x[/tex]

[tex]\sf \implies y = \dfrac12(7-x)[/tex]

Now input the given x-values into the equation to determine the y-values:

[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]

[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]

[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]

[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]

[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]

[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]

As ordered pairs: (-2, 4.5)  (-1, 4)  (0, 3.5)  (1, 3)  (2, 2.5)  (3, 2)

Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.

HELP ME PLEASE. THIS IS MY LAST QUESTION THEN I CAN GO TO BED.

Answers

Answer:

100.

Step-by-step explanation:

The 2 smaller triangles are similar, so:

48 / (x - 64) = 64 / 48

64(x - 64) = 48^2

x - 64 = 48^2/64

x = 48^2/64 + 64

= 100.

The answer is 100. Now you can go to bed! Lol

What is the slope of the line that passes through the points (−2,−4) and)(3,−9)? Write your answer in simplest form.

Answers

Answer:

The slope is -1

Step-by-step explanation:

Formula for finding slope: [tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1}[/tex]

we got the points:

(−2,−4) and)(3,−9)

let's plug them in.

[-9-(-4)] / [3-(-2)] =

-5 / 5 = -1

Maryam had to sail 4 2⁄3 miles to reach her destination. At the end of the day, she had sailed 3 1⁄3 miles. How far was she from her destination?

Answers

1 1⁄3

Step-by-step explanation:

In order to find how far was she from her destination

We substract 4 2⁄3 from 3 1⁄3

=> 4 2⁄3 - 3 1⁄3

=> 1 1⁄3 (Decimal: 1.333333)

Answer:

1 1/3 miles

Step-by-step explanation:

2-1

4 2/3-3 1/3= 1-----------

3

=1 1/3miles

how long will a 100 litre bath run if the water is running at a rate of 12 litres per minute

Answers

The answer to this question is 8.3L as you divide 100 by 12

Simplify (3×2-2) + (5×2+5×-1)

Answers

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics = }}}}}}}[/tex]

(3×2-2)+(5×2+5×-1)=

(6-2)+(10-5)=

4+5=

[tex] \bf \textcolor{green}{ \underbrace{9}}[/tex]

xLasersx✨

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:(3 \times 2 - 2) + (5 \times 2 + 5 \times ( - 1))[/tex]

Use BODMAS/PEDMAS rule here :

[tex]\qquad \sf  \dashrightarrow \:(6- 2) + (10 + ( - 5))[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 + (10 - 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 + 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:9[/tex]

Hope it helps you ~

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Prove that cos⁻¹ (12/13) + sin⁻¹ (3/5) = sin⁻¹ (56/65)

Answers

Answer:

See below ↓

Step-by-step explanation:

We need to prove :

⇒ cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex] = tan⁻¹ [tex]\frac{56}{65}[/tex]

Let's simplify the LHS.

cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex]

Convert the inverse cos and sin functions into inverse tan functions

tan⁻¹ [tex]\frac{5}{12}[/tex] + tan⁻¹ [tex]\frac{3}{4}[/tex][∴This can be found taking a right triangle and labeling the sides,   and then using Pythagorean Theorem, we can find the missing side and take the ratio of tan]

Identity

tan⁻¹ x + tan⁻¹ y = tan⁻¹ [tex]\frac{x+y}{1-xy}[/tex]

Using this identity, we can simplify our earlier equation!

⇒ tan⁻¹ [(5/12 + 3/4)/(1 - (5/12 x 3/4))]

⇒ tan⁻¹ [(20 + 36) / (48 - 15)

tan⁻¹ (56/65)

⇒ RHS

Proved ∴√

[tex]\text{L.H.S}\\\\=\cos^{-1} \dfrac{12}{13} + \sin^{-1} \dfrac 35\\\\=\sin^{-1} \dfrac 5{13} + \sin^{-1} \dfrac 35\\\\[/tex]

[tex]=\sin^{-1}\left[\dfrac 5{13}\sqrt{1- \left(\dfrac 35 \right)^2} + \dfrac 35\sqrt{1-\left(\dfrac 5{13} \right)^2} \right]\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{1-\dfrac 9{25} }+\dfrac 35 \sqrt{1-\dfrac{25}{169}} \right)\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{\dfrac{16}{25}}+\dfrac 35 \sqrt{\dfrac{144}{169}} \right)\\\\=\sin^{-1} \left(\dfrac{5}{13} \cdot \dfrac 45 + \dfrac 35 \cdot \dfrac{12}{13} \right)\\[/tex]

[tex]=\sin^{-1} \left(\dfrac 4{13} +\dfrac{36}{65}\right)\\\\=\sin^{-1} \left(\dfrac{20}{65} + \dfrac{36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{20+36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{56}{65} \right)\\\\=\text{R.H.S}[/tex]

NO LINKS PLEASE I NEED ANSWERS
NO LINKS PLEASE

Answers

Answer:

10. s = 1.50x

11. s = 28x + 5

Step-by-step explanation:

10. s (money); so multiply x (the amount of pencils) by the price which is 1.50. Which is equal to 112.50.

11. s (money); multiple x (the amount of shoes) by the price, 28, which equals 84. Then add 5 for the shipping. This equals 89.

The chef made 45 pancakes in 6 minutes. How many pancakes did she make in 1 minute?

Answers

Answer: 7.5 or 7 1/2

Step-by-step explanation:

Divide 45 divided by 7

You put the name of all the students in your class in a paper bag. There are 14 boys and 16 girls. If
you draw a name at random, what is P(girl's name)?
A: 7/15
B: 8/7
C: 8/15
D: 7/8

Answers

Creo que es la D 7/8

Identify the domain and range of the relation.
x −5 −2 1 5
y 10 11 4 10 what is the function

Answers

Answer:

Domain: -5, -2, 1, 5

Range: 10, 11, 4, 10

To get the function, you need to create an equation.

Step-by-step explanation:

For example, f(x)= 10x. "x" equals your y value, and "10" is where you plug in your range, or in other words, your y-values.

The following stem-and-leaf plot represents the scores earned by Mr. Wood's class on their most recent science test.



How many of the students scored less than an 85?

10
12
11
9

Answers

Answer:

11

Step-by-step explanation:

If you count the total values

it equals 11

HELP!! Using the geometric sequence 2,2/3,2/9,. ,2/243, find the approximate sum of the geometric series. Round your answer to the nearest whole number.

Answer choices:

4

3

1

6

Answers

we can always get the common ratio of a geometric sequence by simply dividing the current term by the previous term, in this case for the sake of simplicity let's divide 2/3 by 2, so  

[tex]\cfrac{2}{3}\div 2\implies \cfrac{2}{3}\div \cfrac{2}{1}\implies \cfrac{2}{3}\cdot \cfrac{1}{2}\implies \cfrac{1}{3}\impliedby \textit{common ratio}[/tex]

so the sequence more or less looks like   [tex]2~~,~~\cfrac{2}{3}~~,~~\cfrac{2}{9}~~,~~\cfrac{2}{81}~~,~~\cfrac{2}{243}[/tex]

so we'd want the sum of the first 5 terms

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio} \end{cases} \\\\\\ S_5=2\left( \cfrac{1~~ - ~~(\frac{1}{3})^5}{1~~ - ~~\frac{1}{3}} \right)\implies S_5=2\left( \cfrac{~~\frac{242}{243}~~}{\frac{2}{3}} \right)\implies S_5=\cfrac{242}{81}\implies S_5=2\frac{80}{81}[/tex]

Inscribed angle
Help please

Answers

Answer:

x = 3

Step-by-step explanation:

The measure of the inscribed angle is half of measure of the intercepted arc .

Find the half of 192.

192/2 = 96

The inscribed angle is 96°.

Create an equation and solve for x.

31x + 3 = 96

31x + 3 - 3 = 96 - 3

31X = 93

31x/31 = 93/31

x = 3

In the spinner above, the section labeled *2* is twice as large as each of the sections labeled “3,” “4,”and “5”; the section labeled "1” Is three times as large as each of the sections labeled "3” “4” and “5”About how many times should Larry expect to land on "1"

A. 100
B. 75
C. 40
D. 25

Thank you!

Answers

Answer:

B.75

Step-by-step explanation:

Q10.
At work Liv puts apple pies into boxes.
Liv has 42 apple pies.
Each full box has 9 apple pies.
How many full boxes of apple pies does Liv have?
Show how many apple pies are left over.
Show your working and your answers in the box below.

Answers

Answer:

He has 4 full boxes

6 Apple pies are leftover

Step-by-step explanation:

42/9 = 4.67 How many full boxes can he fill

9 X 4 = 36 He filled out 4 full boxes

42-36=6 Total - Filled = Remainder

Answer:

she has 4 full boxes of applepies and she has 6 leftover apple pies

Step-by-step explanation:

The perimeter of the figure is 90ft. What is the area.
Additional knowledge: figure is a semi circle, use 3.14 or 22/7 as pi to solve

Answers

Answer:

1289.8089172

Step-by-step explanation:

if you do 90 x 2 = 180 you get the circumference of what would be the complete circle, the formula for area with circumference is A = (C^2/4x3.14) so inserting 180, the answer is 2579.61783439, and half of that is a semi circle so 2579.61783439/2 = 1289.8089172

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