A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads

Answers

Answer 1

105/2^9

Step-by-step explanation:

The probability of getting a head in a single toss

p=12

The probability of not getting a head in a single toss

q=1−12=12

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

=10C4(1/2)4(1/2)10−4

=10×9×8×7/4! 1/2^4 1/2^6

=2^44⋅9⋅35/24(2^10)

=105/2^9

Answer 2

Answer:

P = 0.205  (20.5%)

Step-by-step explanation:

[tex]f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205[/tex]

Hope this helps


Related Questions

100 divided by 16.4 as a fraction

Answers

Answer:

25/4.1 or 6 and 2/5

Step-by-step explanation:

I can simplify both 100 and 16.4 by 4, so: 100/16.4=25/4.1

Because this is an improper fraction, I simplify it to: 6 and 2/5

A rectangle’s perimeter is 86in . Its length is 9in longer than its width. Use an equation to find the rectangle’s length and width.

Answers

Answer:

Step-by-step explanation:

Let width be x

So length would be x + 9

If perimeter is 86, then

2(l+b) = 86

2(x + x+9) = 86

4x + 18 = 86

4x = 68

X = 17

Check:

2(x + x + 9) = 86

2(17 + 17 + 9) = 86

2(43) = 86

86 = 86

Here you go

how do you find the value of x on this triangle?

Answers

Answer:

Solving for X in a Right Triangle

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

?/5 =8/10 type the missing number that makes this fraction equal

Answers

Answer:

4/5 = 8/10

Step-by-step explanation:

x/5 = 8/10

x = 8/10 × 5

x = 4

someone please help me!

GIVING BRAINLIST TO FIRST RIGHT ANSWER

Answers

Answer:

A. The mean is increased by 3

Step-by-step explanation:

2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 = 56/8 = 7

2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 + 34 = 90/9 = 10

10 - 7 = 3

Ashton is 3 times the age of Jason. Ashton is 6 years older
than Nolan. Jason is 7 years old. How old is Nolan? Explain

Answers

Answer:

nolan is 15,

Step-by-step explanation:

3*7=21-6=15

solution:

age of Jason is 7

and Ashton is 3 times age of Jason=7*3=21

Nolan age=21-6=15

therefore the age of Nolan is 15 years

15 1/2 as an integer

Answers

2 good luck on ur work :)

is 8.5 greater than 0.85?

Answers

Answer:

Yes, 8.5 is greater than 0.85

Step-by-step explanation:

In counting from 0 to the highest possible positive number in steps of 0.01, we come across 0.85 before 8.5. This means that 8.5 is greater than 0.85

The present year is 2014. Which year comes AFTER THE NEXT 3 years?

Answers

The answer to this question is 2017

Answer:

2017 Pls mark me as a brainliest I really need it

Find the value of x and y

Answers

Answer:

X=90

Y=43

Step-by-step explanation:

hope it will help goodbye

Carlos is going on a boat tour. The boat will travel a total distance of 35 kilometers during the 7-hour tour.
If the boat travels at a constant speed during the tour, what distance in kilometers should the boat travel in 3 hours?

Answers

35 kilometers in 7 hours would be 7/35 which is 5 kilometers an hour, in 3 hours it would be 15 kilometers


By definition pH = - log H+], where H*] is the hydrogen concentration in $ ltext(moles per liter]$. If the pH
of a solution is 3, what would the [H+] in the solution (written in scientific notation)?

Answers

A ........................ig

What is the solution for x in the equation
-4+5x-7=Okay 0+3x-2x

Answers

Answer:

X = 2.75 or 2 3/4 in fraction form

Step-by-step explanation:

We know that the variable X has to make both equations equal.

It is really just crossing out the options.

2.75 can fit in the X variable because if 2.75 was in both equations, the answer would be the same.

So the answer is 2.75

Hope this helps! :)

૮ ・ﻌ・ა

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).

Answers

Part A:  For the -5.3, 1 it would be located in Quadrant Q because even though it just goes to -4 and 4 I can extend the grid in my head and that's how I was able to figure out.

Step-by-step explanation:

Solve the equation.
2
What is the first step to isolate the variable term on one side of the equation?
What is the second step to solve for x?

Please help and be fast

Answers

Answer:

Add 1/2x, Divide by 7/6

Step-by-step explanation:

Add 1/2x to both sides

Divide both sides by 7/6

Please help me ill put the question up for a lot of point, and i will mark as brainliest!!!

Answers

Step-by-step explanation:

(2x³y^-4)^-2 = 1/(4x⁶y^‐8) = y⁸/(4x⁶)

1/(8x⁵y^-7) = y⁷/(8x⁵)

4x^-9y⁴ = 4y⁴/x⁹

so, the whole expression is then

y⁸/(4x⁶) × y⁷/(8x⁵) × 4y⁴/x⁹

4y¹⁹/(32x²⁰) = y¹⁹/(8x²⁰)

so, D is the correct answer.

is 7 a solution to 21-w<14?
(please answer asap!)

Answers

Answer:

no

Step-by-step explanation:

well, is 21-7 < 14?

Michael paints a circular
tablc that has a diameter
of 19 inches. What is the
area of the table?

Answers

Answer:

90.25π

Step-by-step explanation:

The formula for solving the area of a circle is πr².

r is the radius. We can find the radius by splitting the diameter in half: 19/2 = 9.5.

We can apply the area formula and we get π9.5² and the answer is 90.25π.

the ecpanded form of 239.013​

Answers

[tex]239.013 = 2 \times 100 + 3 \times 10 + 9 \times 1 + 0 \times 1 \div 10 + 1 \times 1 \div 100 + 3 \times 1 \div 1000[/tex]

hope it helps :)

Answer:

[tex]239.013=2×100+3×10+9×1+0×1÷10+1×1÷100+3×1÷1000[/tex]

A line segment has endpoints at (3, 5) and (6, 1)
What is the x-coordinate of the midpoint?

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6+3}{2}~~,~~\cfrac{1+5}{2} \right)\implies \left( \cfrac{9}{2}~~,~~\cfrac{6}{2} \right)\implies \left(4\frac{1}{2}~~,~~3 \right)[/tex]

solve the following system of equations

Answers

Answer: the answer is D which is (2,1)

please help ill mark brainliestO​

Answers

Answer:

AA, SAS, SSS

Step-by-step explanation:

These three theorems can be used to find similar triangles.

There are 9 3/5 pounds of bricks in the bag each brick weights 1 1/5 pounds ? How many bricks are in the bag

Answers

Answer:

there are 6 bricks in th ebag

Step-by-step explanation:

6 bricks in the bag.....

A scuba diver wants to dive more than 2/12 times her previous deepest dive. That means she has to dive at least 70 feet below the surface of the ocean. This dive is represented by the inequality 2/12p<−70, where p is the distance below the surface of her previous deepest dive.


Select from the drop-down to correctly interpret the solution of this inequality.


The scuba diver's previous deepest dive was

Choose...

feet below the surface of the ocean.

Answers

The distance below the surface of her previous deepest dive is 420 feet

Given the inequality expression representing the dive given as:

2/12p<−70

We are to get the solution to the inequality expression;

Given;

2/12p<−70

Multiply both sides by 12:

2p < 70 * 12

2p < 840

Divide both sides by 2

2p/2 < 840/2

p < 420

Hence the distance below the surface of her previous deepest dive is 420 feet

Learn more on inequality here: https://brainly.com/question/22354790

Answer:

2 1/2p<-70

the answer is deeper than 28

Step-by-step explanation: I took the test

The ratio of girls to boys is 5:3 in a class. If there are 15 girls in the class, what is the class size? What is the unit ratio?

Answers

Answer:

Try setting up a proportion: [tex]\frac{5}{15}=\frac{3}{x}[/tex] then cross multiply to solve for x which will try you how many boys are in the class.  Then add the number of boys and girls together.

Step-by-step explanation:

Find the probability of rolling a die twice, first getting a 3 and then an odd number.
(This sounds simple but every answer I get isn’t the correct one)
PLEASE I DON’T UNDERSTAND

Answers

Answer: 1/3 or 0.333333333

Step-by-step explanation:

Probability of getting a 3 is 1/6.

1/6

Probability of getting an odd number is 3/6.

3/6

Multiply them.

1/6*3/6 = 4/12

Simplify.

4/12 = 1/3

Correct me if I am incorrect.

What is the area of this figure?
3 mm
4 mm
13 mm
what’s the area of this figure?
12 mm
4 mm
15 mm
8 mm
10 mm
.
Write your answer using decimals, if necessary.

Answers

you multiple every side of the figure then you should get the answer

ean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work.

Answers

Well just know the 5 pounds is worse but what I do is divide 23.49 into 5 for each pound and do the the same for the 8 pounds expect 36.96

A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in 5 hours

Answers

Answer:

3 3/4 km = 1 hr

_______. ____

x 5

5 (3 3/4) = 18.75 km

Answer:

Explanation:

18.75 km

Which example illustrates the associative property of addition for polynomials? [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = (2x2 + 5x) + [(4x2 – 4x) + 5x3] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(4x2 – 4x) + (2x2 + 5x)] + 5x3 (2x2 + 5x) + [(4x2 – 4x) + 5x3] = (2x2 + 5x) + [5x3 + (4x2 – 4x)] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(5x + 2x2) + (–4x + 4x2)] + 5x3

Answers

Answer:

A

Step-by-step explanation:

Answer: first one

Step-by-step explanation:

omm it’s A

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