a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails

Answers

Answer 1

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246

So the probability of that is 24,6 %

Good Luck


Related Questions

plz help will mark as brainliest​

Answers

Answer:

18⁰

Step-by-step explanation:

As AOB is a line so it's is 180 ⁰

Hence,

5y+3y+2y=180⁰

10y=180⁰

y=180⁰/10

y=18⁰

Graph the following

1. f(x) = 2x² + 2
2. f(x) = 5x²+ 20x-1​

Answers

Answer:

Step-by-step explanation:

Use DESMOS.  See attached.

Red At Santa's workshop, Jingles
the Elf sampled candy canes. He found
that 18 candy canes were broken. This
number represented 15% of the total
number of candy canes he inspected.
What was the total number of candy
canes Jingles sampled?

Answers

Based on the total number of candy canes damaged and the proportion of the total it was, the total inspected was 120 candy canes.

Assuming the total number of candy canes inspected is x, the relevant formula would be:

18 = x × 15%

Solving for x would give us:

18 = 0.15x

x = 18 / 0.15

= 120 candy canes

In conclusion, 120 canes were sampled.

Find out more at https://brainly.com/question/529563.

(04.01 LC)

The equations y = −3x + 1 and y = 2x − 4 are shown in the graph.

graph of y equals 2 times x minus 4 and y equals negative 3 times x plus 1

Which is the solution to the system of equations? (1 point)

Group of answer choices

(−2, −1)

(−2, 1)

(−1, −2)

(1, −2)

Answers

Answer:

(1, −2)

Step-by-step explanation:

−3x + 1 = 2x − 4

−5x + 1 = − 4........subtract 2x from both sides

-5x = -5.................subtract 4 from both sides

x  = 1.......................divide both sides by - 5

now that you have x value find y by plugging in the x value in either one of the equations (I'll be using y = -3 +1)

y = -3(1)+1

y = -3+1.............multiply

y = -2................add

What is the sum of the 2nd cube number and the 1st cube number?

What is the sum of the 2nd cube number and the 1st cube number

Answers

The answer for the 1st question is 8
The answer for the second question is 8

f(x)=3/5x-4/3 What x value makes f(x)=0
(will give brainliest to whoever answers first)

Answers

Answer:

3

Step-by-step explanation:

Use the solutions below to write the quadratic expression in standard form.


x=-6 x=2

Answers

nenchcs nsndndekksks

In 1993, the moose population in a park was measured to be 4650. By 1998, the population was measured
again to be 4100. If the population continues to change linearly:
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t) =
B.) What does your model predict the moose population to be in 2006?

Answers

Answer:

Here plz give brainliest not easy to explain in detail like this

Step-by-step explanation:

We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.

We have two points on the graph:  (4, 4290) and (8, 3850)

Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:

m = (y2 - y1)/(x2 - x1)                 Slope formula

m = (3850 - 4290)/(8 - 4)          Substitution

m = -440/4                               Solve the subtraction problems in the parenthesis

m = -110                                  Reduce the fraction

Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line.  I will use the first point, but either point will produce the same answer.

y - y1 = m(x - x1)                                     Point-slop e formula

y - 4290 = -110(x - 4)                              Substitution

y - 4290 = -110x + 440                            Distribute the -110

y - 4290 + 4290 = -110x + 440 + 4290      Add 4290 to each side

y = -110x + 4730                                     Simplify

Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.

P(t) = -110t + 4730

To predict the population in 2006, we need to determine the years from 1990 to 2006.

2006 - 1990 = 16

P(16) = -110 (16) + 4730

P(16) = -1760 + 4730

P(16) = 2970

Ayushi wanted to paint a wall of a room of dimensions 6 m × 5 m. It has a window of dimensions 2 m × 0.5 m and a door of dimensions 3 m × 1.5 m. What area of the wall is required to be painted by Ayushi?

Can you guys plz answer this??? ​​

Answers

Answer:

Required wall to be painted: 24.5 m²

Step-by-step explanation:

Wall dimensions: 6 m x 5 m

=> Wall dimensions: 30 m²

Area of window: 0.5 x 2

=> Area of window: 1 m²

Area of door: 3 m × 1.5 m

=> 4.5 m²

Required wall to be painted: 30 - 1 - 4.5

=> Required wall to be painted: 24.5 m²

Therefore, the required paint for the wall to be fully painted is 24.5 m². Hoped this helped.

Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0,].

The numerical value of the mean voltage in the circuit is

Answers

The numerical value of the mean voltage is 25.47 V

To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]

So,

[tex]V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V[/tex]

V ≅ 25.47 V

So, the numerical value of the mean voltage is 25.47 V

Learn more about mean volatage here:

https://brainly.com/question/17928028

1) 6p + 12 - 2 = 8p + 4​

Answers

☆Answer :

6p + 12 - 2 = 8p + 4

6p + 10 = 8p + 4

6p - 8p = 4 - 10

-2p = -6

2p = 6

p = 3

Answer:

p = 3

Step-by-step explanation:

First, simplify. Combine like terms. Like terms are terms with the same variable as well as same amount of said variable:

6p + (12 - 2) = 8p + 4

6p + (10) = 8p + 4

Isolate the variable, p. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Addition

Subtraction

First, subtract 8p and 10 from both sides of the equation:

6p (-8p) + 10 (-10) = 8p (-8p) + 4 (-10)

6p - 8p = 4 - 10

-2p = -6

Next, isolate the variable, p, by dividing -2 from both sides of the equations:

(-2p)/-2 = (-6)/-2

p = -6/-2

p = 3

3 is your answer.

~

On a certain hot​ summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

a = 242  adult and  c = 52 children

Step-by-step explanation:

Solving as a system of equations.

a = adult

c = children

The adult and the children equal 294 people

  a + c = 294

adult cost is 2.25 per adult

Total amount of adult is 2.25a because the number of adult are not given.

children cost is 1.75 per children

Total  amount children is 1.75c because the number of children  are not given

Total receipts $635.50.

a + c = 294                         multiply by -1.75           -1.75a - 1.75c = - 514.50

2.25a + 1.75c = 635.50     does not change           2.25a + 1.75c =  635.50

Add these equations together

-1.75a - 1.75c = - 514.50

2.25a + 1.75c =  635.50    

.50a              =   121.00

   a = 121.00/.50a

   a = 242  adult

a + c = 294

242 + c = 294

         c = 294 - 242

          c = 52 children

Check:    $2.25(242) + $1.75( 52) = $635 .50

              $544.50 + $91.00 =  $635.50

                   $635.50 = $635.50

x2-4x+6=0

Someone help with solve this

Answers

Answer:

0 is the answer..(•‿•)(. (•‿•)(•‿•)(•‿•)

is 3/4 greater than 1? i need help please

Answers

No it is not. 3/4 as a decimal is 0.75, thus making it less than 1.

Answer:

No.

Step-by-step explanation:

3/4 = 0.75.

=> 0.75 < 1

Hoped this helped.

Write in point slope form the equation for the line that goes through the point (-1,-6) and has a slope of 16

Answers

Answer:

y+6 = 16 (x+1)

Step-by-step explanation:

Point slope form of an equation is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y- -6 = 16 (x- -1)

y+6 = 16 (x+1)

graph the f(x)=(x+2)^2+3

Answers

Answer:

am also not sure

Step-by-step explanation:

this should be it, hope it helps.

I actually don’t understand this can someone please help?

Answers

Answer:

It's proportional when you have a straight line that goes through the origin, meaning (0,0), meaning x = 0 and y = 0, meaning: when x = 0, then y has to be = 0 too! That's obviously not the case here. You can see that the line hit the y axis way above 0. So this graph is not directly proportional to x.

Step-by-step explanation:

Lyndon got a new job which pays $24.25 per hour. He works 40 hours per week. He pays 5% state income tax on his earnings. How much does Lyndon have remaining after state income tax is deducted from 4 weeks of pay?

Answers

Answer:

$3686 remaining after tax

Step-by-step explanation:

What is the answer of this question please reply!

0.00536 by 25​

Answers

Answer:

0.134

Step-by-step explanation:

"By" means multiplied by, so the question is, what's 0.00536 multiplied by 25?

In the first step, we multiply all the numbers in the decimal by 5, and we get 0.02680. In the second, we multiply all the numbers in the decimal by 20, and we get 0.10720. Then we add the two together and get 0.134.

I hope that helped :)

Consider the graph shown below.

What are the coordinates of point C after a dilation with a scale factor of 5,centered at the origin

Answers

Answer:

10,5

Step-by-step explanation:

After a dilation of 5, it should become 10 and 5 because it was 2,1 before.

PLS HELP ME 20 points total

Answers

Answer:

b and f

Step-by-step explanation:

maths

Answer:

A) The point (1, 0.60) means that one pound of potatoes cost $0.60.

F) The point (40, 24) means that 40 pounds of potatoes cost $24.00.

Step-by-step explanation:

The given graph shows the linear relationship between the total cost and the number of pounds of potatoes.

In order to determine the total cost of potatoes per pound, use the following points on the graph:

Let (x₁, y₁) = (20, 12)

(x₂, y₂) = (25, 15)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (15 - 12) / (25, 20)

m = 3/5

Therefore, the slope of the line is 3/5 or 0.60. This means that the total cost increases by $0.60 for every pound of potatoes.

Option A: Since we determined that the slope represents the change in total cost increases by $0.60 for every pound of potatoes. Multiplying the number of pounds by the cost per pound, $0.60, will give you the total cost of the potatoes. Thus, 1 pound of potatoes × $0.60 per pound = $0.60.

This matches the points described in Option A, thereby making it as one of the valid answers.

Option B) is incorrect because the total cost of 12 pounds of potatoes is $7.20. The given option states that $7.20 is the cost per pound of potatoes, which is false. The cost per pound of potatoes is $0.60.

Option C) Similar to Option B, 12 pounds of potatoes doesn't cost $20 per pound.

Option D) The descriptions of the coordinates, (25, 15) were mixed up: it should have been "25 pounds of potatoes cost $15." Hence, Option D is incorrect.

Option E) Similar to Option D, the descriptions of the coordinates, (30, 18) were mixed up: it should have been "30 pounds of potatoes cost $18." Hence, Option D is incorrect.

Option F) The point, (40, 24) appropriately represents the total cost of $24 for the 40 pounds of potatoes. Therefore, Option F is correct.

5. What is the correct word form of 9.602?

A nine and sixty-two hundredths

B nine and six hundred two hundredths

C nine and sixty-two thousandths

D nine and six hundred two thousandths

Answers

Answer:

D is the correct answer

Step-by-step explanation:

your welcome

Answer:

nine and six hundred two thousandthsStep-by-step explanation:

oletha rapples from the top of a cliff at a rate of -6 inches per second. It takes oletha 4 minutes to reach the bottom of the cliff. What is the height of the cliff in feet?

Answers

Answer:-120

Step-by-step explanation:multiply -6 by 60 seconds which it will give you  -360 in inch’s and then multiply -360 into 4 and that’s -1440 and then combert them into -120

Bran walked a total of 16 kilometers by making 4 trips to his grandfather's place. How many trips will Bran have to make in all to walk a total of 28 kilometers? ​

Answers

Bran has to make in all to walk a total of 28 kilometers  : 4 x 2 = 8 ( trips )

ok done. thank to me :>

Solve this equation

(X+1)/4 = x/2

Answers

Answer:

1 = x

Step-by-step explanation:

First eliminate the fractions by multiplying both sides by the LCD, which is 4:

x + 1 = 2x

Subtracting x from both sides yields 1 = x

Two tins are geometrically similar, if the ratio of there volume is 27:64, find the ratio of the curved surface areas​

Answers

Answer:

9:16.

Step-by-step explanation

The scale factor is  ∛27:∛64

= 3:4.

So the ratio of the curved areas = 3^2:4^2

= 9:16.

Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?

9 feet
18 feet
30 feet
33 feet

Answers

2I + 2w = 48
9 feet is the answer.
Have a great day/night

Answer:

Step-by-step explanation:

The Width of the garden will be 9 feet.

Step-by-step explanation:

Given:

Manny has wood =48 feet

Length of the garden = 15 feet

The equation which can be used  .

We need to find the width of the garden.

Solution :

Now Length of the garden is given we will substitute in the given equation to find the width.

Now Using Subtraction property we will subtract both side by 30 we get;

Now Using Division Property we will divide both side by 2 we get;

Hence the Width of the garden will be 9 feet.

There are 30 coins in 5 rows.

How many coins in each row?

Answers

Answer:

It is 30 divide by 5

Step-by-step explanation:

plz help I need answer asap! ​

Answers

Answer:

x=2.4

Step-by-step explanation:

for this one we find the scale factor you can pick any two similar points i picked 3 and 1.8 i did 1.8/3 and found the scale factor is .6 so x= ML or 4 * .6 (our scale factor) which gives x=2.4

Answer:

x=2.4

Step-by-step explanation:

This is simple! If you know how to find scale factor then then problem is a breeze.

Look at side JK and side PQ. To find the scale divide 3 by 1.8 This gives you 1.66666666667. We don’t want this long number but we can work with it :3

Now to find that missing side= x

4 / 1.66666666667= 2.4

x=2.4

( pssstt! This “/“ means division ;-)

hope this helped :D

If f(1) = 5 and f(n) = 4f(n − 1) - 2 then find the value of f(5).​

Answers

Hi,

This is the same situation as a sequence case.

You have two informations :

[tex]\left \{ {{f(1)=5} \atop {f(n)=4f(n-1)-2}} \right.[/tex]

You need to solve this rank by rank for n = 1, 2, 3, 4 and 5.

We already have f(n) for n = 1 : it is f(1) = 5.

n = 2 :

f(2) = 4 * f(2-1) - 2 = 4 * f(1) - 2 = 4 * 5 - 2 = 20 - 2 = 18 because f(1) = 5

n=3 :

f(3) = 4 * f(3-1) -2 = 4 * f(2) -2 = 4 * 18 -2 = 72 - 2 = 70

n = 4 :

f(4) = 4 * f(4-1) -2 = 4* f(3) - 2 = 4* 70 - 2 = 280 - 2 = 278

n = 5 :

f(5) = 4 * f(5-1) - 2 = 4*f(4) - 2 = 4 * 278 - 2 = 1112 - 2 = 1110

so f(5) = 1110

Good Luck

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