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

PLS HELPP!! The table shows the progress of Carson and Jayden as they each read books. Carson Jayden Pages Minutes Pages Minutes 8 6 6 97 16 11.5 12 18 20 20 30 What TWO statements are TRUE?​

Answers

Answer:

Step-by-step explanation:

If you had -$10 last week and -$8 this week, how do those two numbers compare? Explain what the inequality means in relation to the positions of these numbers on the number line. For which week did you have the greater debt?

PLEASE HELP!!
I NEED FOR DBA !!
WILL GIVE BRAINLIEST AND RATING
AND WRONG ANSWERS OR LINKS WILL BE REPORTED

Answers

We compare the two numbers by finding their difference. If we subtract -8 from -10, we get 2, because 10-8 = 2. We put this positive result next to the negative number on the number line above it (-10) to see how it compares to -8.

The greater debt is represented by the smaller number on the number line, so if you had -$2 last week and -$8 this week, you are in a better position financially.

Answer:

Tje answe kdn 8

Step-by-step explanation:

Graph the lines y=3x+3

Answers

~graph

Graph the line using the slope and y-intercept, or two points.

Slope : 3

y intercept = (0 , 3)

graph already attached ✔️

~ nice to help you ^^

Answer:

Step-by-step explanation:

The ratio of red cars to blue cars in a parking lot was 9 : 7. If there were 72 red cars, how many blue cars were there?

Answers

Answer:

56

Step-by-step explanation:

We can mark the blue cars as x, so now, we have 9:7, and 72:x, we can use cross multiplication to get the value of x, 72*7 = 9x, which we can simplify into 504 = 9x, and can divide both sides by 9 to get 56 = x.

Hope it helped!

Is 4/9 equivalent to 8/16

Answers

☆Answer :

Answer in the picture.

Question 1 of 10
Using the graph as your guide, complete the following statement.
The discriminant of the function is
101
HA
-10
10

Answers

It’s should be -10 answer

The discriminant of the function is positive

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the discriminant of the function be represented as D

Now , the value of D is

D = ( b² - 4ac )

And , when ( b² - 4ac ) is positive, we get two real solutions

When a quadratic function contacts the x-axis on two different occasions, the function should be positive in this case. When the quadratic function intersects the x-axis precisely on one occasion, the function should be equal to zero.

When the x-axis shouldn't cross the function graph, the function should be smaller than zero.

Hence , the discriminant of the function is positive

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The complete question is attached below :

Using the graph as your guide, complete the following statement.

The discriminant of the function is

hihii who knows the answer to this question??

Answers

X times 2+11
Explaination me smart

Part A

x = some unknown number

2x = doubling that number

2x+11 = adding on eleven

Answer:   2x+11 = 25

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

Part B

If we knew what x was, then we can compute 2x+11 using the order of operations PEMDAS. Because x is unknown, we follow PEMDAS in reverse to isolate x.

So we'll undo the addition first by subtracting 11 from both sides. Then we undo the multiplication by dividing both sides by 2.

2x+11 = 25

2x+11-11 = 25-11 ..... subtract 11 from both sides

2x = 14

2x/2 = 14/2 ...... divide both sides by 2

x = 7

The number the person thought of was 7. Double 7 to get 14. Add on eleven to get 14+11 = 25.

Answer:  x = 7

Split 70 into the ratio 3:4? I don't understand ratio :(

Answers

Answer:

30:40

Step-by-step explanation:

Item A:  item B :  total

3                 4        3+4

3                  4          7

The total is 70

70/7 = 10

Multiply each item by 10

Item A:  item B :  total

3*10           4 *10     7*10

30                 40       70

Answer:

30 and 40

Step-by-step explanation:

3 : 4  means 3 out of every 7 objects and 4 out of every 7.

[tex]\frac{3}{7} (70) = 30[/tex]

[tex]\frac{4}7} (70) = 40[/tex]

   

Which system of linear inequalities has the point (2, 1) in its solution set?

y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2 On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 2) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 4, negative 2) and (0, 0). Everything below the line is shaded.

Answers

Yes less then the negative times the less or equal

What is the Factor of 3/9+8/9

Answers

Step-by-step explanation:

the lcm is 9 so....

3/9+8/9

multiply both sides by their lcm which is 9...

so....

9 (3/9)+9 (8/9)

3+8=11

think of two numbers which when add give 5 and substracts give 1​

Answers

Answer:

3 and 2

Step-by-step explanation:

3+2=5

3-2=1

Hope this helps!!

Write the equation of the line in slope-intercept form.




The equation of the line in slope-intercept form is

Answers

Y=50x + 40

50x is your slope

40 is your intercept value

Complete the equation line through (1,4) and (2,2) use exact numbers

Answers

Equation: y = -2x + 6

(Graphed in the image below, green dots are the points given)

simplify by combining like terms -(m+n)+2 (m-3n)​

Answers

-(m+n)+2(m-3n)

-m+n+2m-6n

-m+2m+n-6n

m-5n

Answer:

m -7n

Step-by-step explanation:

-(m+n)+2 (m-3n)​, distribute in the first parenthesis the -1 and in the second parentheses the 2

-m -n + 2m -6n , group like terms

-m + 2m -n -6n , combine like terms

     

     m     -7n

Fibd the distance and midpoint between each pair of points. C(-2,2) d(5,-3)

Answers

Answer:

D=[tex]\sqrt{10}[/tex] or about 3.2  M=(1.5,-0.5)

Step-by-step explanation:

D=[tex]\sqrt{(x2+x1)^2 +(y2-y1)^2}[/tex]   M=[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

Lets find the distance first:

D=[tex]\sqrt{(5+-2)^2 + (-3+2)^2}[/tex]

D=[tex]\sqrt{(3)^2+(-1)^2}[/tex]

D=[tex]\sqrt{9+1}[/tex]

D=[tex]\sqrt{10}[/tex]

D is about = 3.2

Lets find the midpoint now:

M= [tex](\frac{-2+5}{2} , \frac{2+-3}{2} )[/tex]

M=[tex](\frac{3}{2} ,\frac{-1}{2} )[/tex]

M= (1.5,-0.5)

If you reported to work at 18.00 on Wednesday and you get off at 02.50 on a Thursday, which day of pay period week are you working?

Answers

Answer:

Only Wednesday and Thursday

Step-by-step explanation:

(3+6i)(4-4i) simplify

Answers

Answer:

See picture

Step-by-step explanation:

Hope this helps!

hey i need help on this question even if you can only answer one of the three boxes

but if someone can do 2 or more that would be very apricated

thanks!

Answers

Answer:

I don't see boxes?

Step-by-step explanation:

I do not see any boxes sorry for the inconvenience

Guided Practice

In each of the equations, the vertex rises or drops along the y-axis. The value of y changes, but the value of x does not change. The x-value remains zero.

Look at the graph of y = 2x^2 + 1 and find the y-value of the vertex.


Which point is the vertex of y = 2x^2 + 1?


A.
(0, 0)


B.
(0, 1)


C.
(1, 0)


D.
(1, 1)

Check Answer

Answers

B if you put it in a graphing calc that is the vertex of 2x^2+1

Write the recursive and explicit formulas for the given sequence 4, 7, 10, 13

recursive formula: explicit formula:

a,1 = a,n =

a,n =

Answers

Answer:

the answer to your question is 45 over 6

Answer:

45/6 or simplified 15/2

Step-by-step explanation:

You have a savings bank account, you have $35.30 in the account to start.
You deposit $17.50. Then you add in another $25 from your birthday.
Then you have to spend $6.99. But then you saved up another $14.75 that
you want to deposit, after all of those transactions what is your current
BALANCE?

Answers

Answer: $85.56

Step-by-step explanation:

$35.30 +$17.50= $52.80

$52.80+$25 = $77.80

$77.80-$6.99  = $70.81

$70.81+$14.75 = $85.56

some more math stuff I don't know of :(

Answers

They are both 40°. This is bc 180-65-75=40

A reflection over the x axis moves the point (-2, 5) to which quadrant?
I
Hiiii!!! Can someone please help mee!! I will give you double points!!!

Answers

Answer:

II quadrant

Step-by-step explanation:

Looking at the drawing, you can determine that the point with

coordinates (-2 ; 5) is in the II quadrant

Evaluate.

−[−1 2/5÷0.7(1.8)]−2/3

What is the value of the expression?

Enter your answer as a simplified mixed number in the box.

Answers

Answer: the answer is 2 14/15

Step-by-step explanation:

The solution of the expressions will be 0.44.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The expressions are,

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Now,

Solve the expression as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Using the BODMAS rule to solve the expressions as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

⇒ −[−1 2/5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 x 1 / 1.26 ] - 2 / 3

⇒ - [ - 7 / 6.3 ] - 2/3

⇒ 1.1 - 2/3

⇒ 1.1 - 0.66

⇒ 0.44

Therefore,

The solution of the expressions will be 0.44.

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Find an equation of the vertical line through (4,-9)

Answers

Answer:

x = 4

Step-by-step explanation:

Whenever it asks for the equation of a vertical line all you have to do is look at the x point given to you which is 4 and make x = 4, doing this means that this certain vertical line covers all possible y values which includes -9 as well which is why the answer is x=4

Write inequalities if the amount of of quarts of paint needs to be between 1 and 2 quarts

Answers

Answer:

  1 ≤ q ≤ 2

Step-by-step explanation:

If q represents the number of quarts of paint needed, the requirement that it be between 1 and 2 can be written ...

  1 ≤ q   and    q ≤ 2

These inequalities can be combined into one compound inequality:

  1 ≤ q ≤ 2

__

Additional comment

We have used the usual English language interpretation of "between", which allows the end values to be considered as part of the solution set. That is, 1 quart is sufficient to satisfy the need for "between 1 and 2."

What is the value of x?
A) 3
B) 6
C) 8
D) 1

Answers

It is c because it is I just did if give me Brainly

Answer:

I'm amusing its the answer is C

7. Write an inequality that matches the graph shown.

Answers

Answer:

To make an inequality its in the part that is shaded so

Step-by-step explanation:

(-2,-2) (-4,1) ETC

Give all solutions in degrees.
2 sin 0 tan 0 - 13 tan 0 = 0

Answers

Answer:

The left side 0 is equal to the right side which means that the given statement is always true.

Step-by-step explanation:

plz help??????????????????????

Answers

Answer:

Step-by-step explain

i did not do the 1 and 2 srry

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