The tree diagram below illustrates the possible outcomes of three tosses of a balanced coin. What is the probability that “heads” will come up exactly two out of three times
please explain step by step

The Tree Diagram Below Illustrates The Possible Outcomes Of Three Tosses Of A Balanced Coin. What Is

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Answer 1
Answer:   3/8

3/8 = 0.375 = 37.5%

====================================================

Explanation:

Start at the very left hand side of the diagram. Also, start at the top as well. So you'll start at "heads". Trace along the top most path and you'll get "heads, heads, heads". This says we got 3 heads in a row. But we want a case where heads only comes up exactly twice. So we rule out this scenario.

Go back to the first "heads". Now trace along the top, but don't land on that third "heads". Instead, go to the "tails" that is underneath in that last column. So you'll have "heads, heads, tails". This time we got exactly two heads out of three tosses. Off to the side somewhere, make a tally of how many times this scenario happens. Another time it happens is when we get "heads, tails, heads". Another time is when you get "tails, heads, heads".

There are only three situations where we get exactly two heads out of three tosses. This is equivalent to the event "getting exactly one tail", so that might be an easier scenario to track down.

If you traced out all of the possible paths, you would find that there are 8 different paths. Note how 2^3 = 2*2*2 = 8 is a numerical way to compute this, due to the fact that each coin toss has 2 outcomes and we have three tosses total.

Since we have three outcomes where we got exactly two heads, out of 8 outcomes total, this leads to the answer being 3/8

Side note: 3/8 = 0.375 = 37.5%

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

We could also solve this problem by listing out all the possible scenarios. I'll use H for heads and T for tails. Something like HHT means we got heads twice in a row, then tails later. The order matters.

Listed below are the 8 possible outcomes. The items in bold represent situations where we get exactly two heads, which is the same as getting exactly one tail.

HHHHHTHTHHTTTHHTHTTTHTTT

The order of each of those eight items is the same as the order if you were to trace out the possible paths of the table given (starting at the top and moving down). We can see that there are 3 cases where we get exactly two 'H's out of 8 possible outcomes total. So that's another way to arrive at 3/8


Related Questions

The parent function y = -2x^2+5 is translated down 12 units and left 8 units. What is the new equation in vertex form?

Answers

Answer:

y=-2(x+8)²-7

Step-by-step explanation:

Given: y=-2x²+5

After transformations: y=-2(x+8)²-7

Vertex would be (h,k) -> (-8,-7) instead of (0,5)

A dozen cookies is on sale for $1.92. How much is one cookie?
Select the answer that shows what you need to do mathematically to answer this question.
Reminder: There are 12 cookies in a dozen.

Answers

Divide total price by number of cookies:

1.92/12 = 0.16

Each cookie cost $0.16

Answer:

Step-by-step explanation:

16 cents each cookie :3

plz answer this ill give 10pts

Answers

whats the question....?

A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).​

Answers

Answer:

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

Step-by-step explanation:

Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).

So, we use the equation in standard form

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]

Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.

Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,

-bx/a = -x ⇒ b/a = 1 ⇒ a = b

Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²

substituting c = 5 and a = b into the equation, we have

c² = a² + b²

5² = a² + a²

25 = 2a²

a² = 25/2

a = √(25/2)

a = ±5/√2

rationalizing, we have

a = ±5/√2 × √2/√2

a = ±5√2/2

Since a = b, b = ±5√2/2

Inserting a and b into the equation for the hyperbola, we have

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

So, the required equation is

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

Achilles ordered a pizza with 16 slices. Every hour, he ate half of the remaining slices. Let f(n) be the number of slices Achilles ate in the hour since he got home.

Answers

Consider we need to find f(n).

Given:

Achilles ordered a pizza with 16 slices.

Every hour, he ate half of the remaining slices.

To find:

The function f(n) that is the number of slices Achilles ate in the hour since he got home.

Solution:

Initial number of slices = 16

Every hour, he ate half of the remaining slices. So, the number slices Achilles ate in the hour since he got home are:

8, 4, 2, 1, ...

It is a geometric sequence with first term 8 and common ratio [tex]\dfrac{1}{2}[/tex].

The explicit formula for a geometric sequence is:

[tex]f(n)=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Substituting [tex]a=8,r=\dfrac{1}{2}[/tex], we get

[tex]f(n)=8\left(\dfrac{1}{2}\right)^{n-1}[/tex]

Therefore, the  function f(n) that is the number of slices Achilles ate in the hour since he got home is [tex]f(n)=8\left(\dfrac{1}{2}\right)^{n-1}[/tex].

Please help me check if it's right! Please give the right answers!

Answers

Answer

15

Step-by-step explanation:

12-3²+6÷(10÷5)x2²

12-9+6÷2x4

12-9+3x4

12-9+12

3+12

15

This is the only one I saw wrong. you added wrong

54 can be divided with no remainder by which of the following numbers 2 3 4 5 6 9 10​
LINKS WILL BE REPORTED NOT HAVING IT

Answers

Answer:

6 and 9

Step-by-step explanation:

6 x 9 = 54

If Charlie has 50 apples but devin ate 25 how many does Charlie have left?

Answers

Answer:

25

Step-by-step explanation:

50-25=25

Which other expression has the same value as (-4) - (-8) ?

A. (-4) + 8
B. -4 - (-8)
C. 4 + (-8)
D. (-4 ) + (-8)

Answers

the answer is: A (-4)+8

Answer:

the answer is option (A) . (-4) + 8

Find the missing length indicated in the figure.

Answers

Answer:

45

Step-by-step explanation:

Since the lines of hypotenuse are parallel,the triangles are similar

20/8 = x/18

cross multiplication

8x = 20x18

8x=360

x=45      

I don't know this questions so pls help

Answers

Answer:

The distance between the two points is 6.3 units

Step-by-step explanation:

Here, we want to find the distance between the two points

We have the equation to find this as follows;

D = √((x2-x1)^2 + (y2-y1)^2

where (x1,y1) = (-4,2) and (x2,y2) = ((2,4)

so we have the length calculated as follows;

D = √(2-(-4))^2 + (4-2)^2

D = √6^2 + 2^2

D = √36 + 4

D = √40

D = 6.3 units

True or false

A chance event with probability 1 is certain to happen

Answers

Answer:

True, since 1 is 1/1, which is 100%

Hope that helps! :)

Step-by-step explanation:

1. What shapes are formed?
2. How many triangles are formed?
3. Can two triangles fit in one cartolina which shape is a rectangle?

Answers

Answer:

1.) rectangle and triangle

2.)4 because 2 for each rectangle

3.)yes and a rectangle has 4 vertics and 4 sides and 2 equal lengths

Simplify:............​

Answers

[tex] - \frac{4 {m}^{2} }{1 + {m}^{4} + {m}^{8} } [/tex]

is your answer

Answer:

jshdgdhdhdhdhdhdhd English project work

What is the area of this triangle?

Answers

Answer:

The answer would be 14 units.  

Step-by-step explanation:

Count each of the units to find the height and base.

Height - 4 units

Base - 7 units.

Then use the formula A = 1/2*h*b

A = 1/2*7*4

A = 1/2*28

A = 14 units.

The area of the given triangle is 14 units².

Use the concept of the triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

And area of triangle = (1/2)x base x height

In the given triangle:

Width  = 5 units + 2 units

Width  = 7 units

Height = 2 units + 2 units

Height = 4 units

Put the values into the above formula of area,

Area of triangle = (1/2)x 7 x 4

Area of triangle = 14 unit²

Hence,

The area of the given triangle is 14 units².

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ6

the volume of the square pyramid is ___ cubic feet.

Answers

28ft

dkdkdk

dkdkdkdkdkdkd

ddjdjddddddddddddddddddddddddddddddddddddddddd

The ratio of dogs is 5:3. If there are 12 cats, how many dogs are there? PLS HELP

Answers

Answer:

First of all, is it the ratio cats to dogs or dogs to cats?

Step-by-step explanation:

?????

There are 20 dogs. To find this, do 5/3=x/12. Then solve the equation.
60 = 3x
Divide by 3
x = 20

someone please please help me with this ! I would really appreciate it

Answers

Answer:

Both volumes are the same

Step-by-step explanation:

Volume of cylinder = [tex]\pi[/tex][tex]r^{2} h[/tex]

r = radius

h = height

Since area of the circle is given on top,

Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

We know the area is 12

12 = [tex]\pi[/tex][tex]r^{2}[/tex] (we need to find r)

r = [tex]\sqrt{\frac{12}{\pi} }[/tex]

r = 1.954

Now we can find the cylinder's volume:

Volume of cylinder = [tex]\pi[/tex][tex](1.954)^{2}[/tex] (6)

Volume of cylinder = 72

To find the volume of the cuboid, we use

Volume of cuboid = lwh

l = length

w = width

h = height

Volume of cuboid = 6 x 4 x 3

Volume of cuboid =  72

This proves that both the volumes are the same.

A number multiplied by 7 is less than 21. Which of the following expressions correctly identifies this sentence?

Answers

Answer:

Step-by-step explanation:

find the measure of each angle

Answers

Answer:

Step-by-step explanation:

m∠ 1  =  180 - 117

m∠ 1  = 63

m∠2 = the same as m∠ 1

m∠2 = 63

m∠3 is also the same b/c of the same length of the "legs" of the triangle

m∠3 = 63

4 divided by 1/6 with explanation !

Answers

Multiply 4x6 all u do

Help me plz I don’t get it

Answers

Answer:

3.33

Step-by-step explanation:

each cube represents 1, so each flat represents 0.1 and each unit represents 0.01. so if there are 3 of each, it would be 3+0.3+0.03 which equals 3.33

Answer:

3.33

Step-by-step explanation:

Each cube in this picture is equal to 1 unit as the diagram in the upper right corner shows.

We have 3 cubes so -> 1 + 1 + 1 = 3

We also have 3 squares that are 1/10th of a cube.

1/10 * 1 = 0.1  so each square is equal to 0.1 unit.

We have 3 squares so it would be 0.1 + 0.1 + 0.1 = 0.3

We have 3 tiny squares that are 1/100th of a cube.

1/100 * 1 = 0.01 so each tiny square is equal to 0.01 unit.

We have 3 tiny squares so it would be 0.01 + 0.01 + 0.01 = 0.03

Add everything up: 3 + 0.3 + 0.03 = 3.33

I need help ppl this is due tomorrow thank yooou

Answers

Answer:

8.62

Step-by-step explanation:

Use the Pythagorean theorem.

b= [tex]\sqrt{c^{2}-a^{2} }[/tex]

b=[tex]\sqrt{10.5^{2}-6^{2} }[/tex]

b= [tex]\sqrt{110.25-36[/tex]

b=[tex]\sqrt{74.25}[/tex]

b= 8.62

To solve you have to use Pythagorean Theorem:
a^2+b^2 = c^2
You’re looking for b so the formula would be:
b^2 = c^2-a^2
10.5^2-6^2
110.25-36
74.25
The square root for 74.25 is 8.61684396...
But it tells you to the nearest tenth so the answer would be 8.6

*PLEASE HELP ASAP ITS A TEST* How many solutions does the system of linear equations represented in the graph below have?

Answers

Answer:

0

Step-by-step explanation:

The 2 lines never intersect so there are 0 solutions

answer question for 10 points and brainilest

Answers

Answer:

343

Step-by-step explanation:

[tex]\frac{(7^4)^2}{7^5}[/tex]

[tex]=\frac{7^4^*^2}{7^5}[/tex]

[tex]=\frac{7^8}{7^5}[/tex]

[tex]=7^8^-^5[/tex]

[tex]=7^3[/tex]

[tex]=7*7*7[/tex]

[tex]=343[/tex]

Ginny has a cell phone plan that charges a flat fee of $20 per month plus $.10 per minute used talking on the phone. Which expression will calculate Ginny’s bill if she spends (t) minutes on the phone each month?

Answers

Answer:

20 + 0.10t

Step-by-step explanation:

The 20 is the flat rate, the .10 is the per minuet rate meaning the answer is 20 + 0.10t. plz 5 str and thx, and brailiest.

PLEASEE HELPPP ME I needdd helppp

Answers

Answer:

5

Step-by-step explanation:

divide the figure as a triangle and a rectangle first.

take away the rectangle part and if you just look at the triangle part,

you can get x using Pythagorean theorem.

Pythagorean theorem is a^2 + b^2 = c^2,

so 3^2 + 4^2 = x^2.

If you calculate it, x should be root 25, which equals 5.

So, the answer is 5.

You submitted the first number take always all of theme add 30 and your Answer will be 132

A circle has a circumference of 2 x cm. Which statement about the circumference and area is true?
O A comparison of the area and circumference is not possible since the area cannot be determined.
The numerical values of the circumference and area of the circle are equal.
O The numerical value of the circumference is greater than the numerical value of the area.
O The numerical value of the circumference is less than the numerical value of the area.
Vx
Mark this and retum
Save and Exit
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Submit

Answers

Answer:

O The numerical value of the circumference is less than the numerical value of the area.

Step-by-step explanation:

as pi>2, therefore, only 'the numerical value of the circumference is greater than the numerical value of the area. The numerical value of the circumference is less than the numerical value of the area' is correct.

A rectangle has a height of 5 inches and a area of 35 squared inches what is the length of the base of the rectangle? Please help I dont get it.

Answers

Answer:

The length of the base of the rectangle is 7 inches

Step-by-step explanation:

The Area of the rectangle can be found out by multiplying length with the breadth

Area= length *  breadth

35 squared inches= x *5

5x= 35

x= 35/5

x= 7inches

Hence the length of the base of the rectangle is 7 inches.

If the area and one side are known then we can simply find the 2nd side by simply substituting x in its place and solving the equation.

Can someone fill this out? I am very busy today and I need someone to fill this out.

Answers

Answer:

Uh i think its a uhhh carrot

Step-by-step explanation:

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