Luke throws a fair coin n times

Find an expression, in terms of n, for the probability that Luke gets at least 1 head and at least 1 tail. ​

Answers

Answer 1

Answer:

[tex]\frac{n^{2} }{4}[/tex]

Step-by-step explanation:

We know that the coin has 2 sides, which is tails and heads.

the total number of options is 2. whereas if tails or heads, 1 options

For tails:

[tex](\frac{1}{2}) *n[/tex]

[tex]\frac{n}{2}[/tex]

For heads:

[tex](\frac{1}{2} ) * n[/tex]

[tex]\frac{n}{2}[/tex]

If he does this in a row and expects 1 head and tail:

[tex]\frac{n}{2} * \frac{n}{2}[/tex]

[tex]\frac{n^{2} }{4}[/tex]


Related Questions

A cannonball is released at an angle of 20˚ at a velocity of 12m/s. Calculate the horizontal velocity of the object. What kinematic formula must be used to solve this problem?.

Answers

The horizontal velocity of the cannonball is released at an angle of 20˚ at a velocity of 12m/s is 11.276 m/s.

What is Velocity?

Velocity is the rate of change of position with respect to time. It is a scalar quantity.

We know that the velocity is a scalar quantity therefore, it can be divided into two components such that the first component is the vertical component which is equal to the (V sinθ), while the other component is the horizontal component(V cosθ), where V is the velocity and θ is the angle of the velocity from the positive x-axis.

Now, in order to calculate the horizontal velocity of the cannonball we can write,

[tex]\rm V_x = V\ Cos\theta[/tex]

[tex]V_x = 12 (Cos\ 20^o)\\\\V_x = 11.276\rm\ m/s[/tex]

Hence, the horizontal velocity of the cannonball is released at an angle of 20˚ at a velocity of 12m/s is 11.276 m/s.

Learn more about Velocity:

https://brainly.com/question/862972

Lily eats half a pound of cherries in 3/4 of a minute how many minutes will it take her to eat a full pound of cherries​

Answers

Answer: a minute and a half

Step-by-step explanation:

3/4 +3/4 is 6/4 which is 1 1/2 or 1 2/4

Lily eats 1/2 lbs in 3/4 min

Total pounds=1lbs

Total mins:-

2×3/43/2min1.5min

You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

How many students answered pizza?

students answered pizza.

Skip to navigation





























































You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

How many students answered pizza?

students answered pizza.

Skip to navigation























































You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

How many students answered pizza?

students answered pizza.

Skip to navigation





























































You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

How many students answered pizza?

students answered pizza.

Skip to navigation





























































You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

How many students answered pizza?

students answered pizza.

Skip to navigation

Answers

Answer:

12

Step-by-step explanation:

30% of 40=12

please help mee out hereeee

Answers

Answer:x=125

Step-by-step explanation:

180-55=125

Answer:

Step-by-step explanation:

x+55=180[Sum of linear pair]

x=180-55

x=125

Leonard has $87.00 in his checking account. He writes a check to his credit card company for $95.00.


Which statement describes Leonard’s new checking account balance?



Leonard’s balance is −$182.00.



Leonard’s balance is −$8.00.



Leonard’s balance is $8.00.



Leonard’s balance is $182.00.

Answers

Answer:

Leonard’s balance is −$8.00.

Step-by-step explanation:

Solve for x
1,000 = 58.3x+227.9

Answers

subtract 227.9 from both sides to get 772.1
then divide both sides by 58.3 to get 13.2435678
then round to get 13.24

Answer:

x=13.243568

Step-by-step explanation:

1000=58.3x+227.9

Step 1: Flip the equation.

58.3x+227.9=1000

Step 2: Subtract 227.9 from both sides.

58.3x+227.9=1000

         −227.9   −227.9

58.3x=772.1

Step 3: Divide both sides by 58.3

58.3x/58.3 = 772.1/58.3

x=13.243568

Figure PQRS is a rectangle. Which statement in not necessarily true:

A: PQ is parallel to RS
B: PQ is congruent to RS
C: M D: PQ is congruent to QR

Answers

Answer:

D: PQ is congruent to QR

Step-by-step explanation:

In a rectangle, there are a few statements that are always true. Opposite sides are congruent and parallel and all angles meet at 90 degrees. However, adjacent sides (sides that are touching/share a vertex) are not necessarily congruent. They can be; if they are then that rectangle is a square. Nevertheless, if adjacent sides are not congruent, then it is still a rectangle, so long as they meet at a right angle.

Answer: D

Step-by-step explanation:

Help!!! ASAP!!!!



Please help me!!!

No wrong answers!!!

Answers

Answer:

*

Step-by-step explanation:

Pattern A: is adding 2 dots each time

Pattern B: is going up 1,2,3,4 (adding that amount each time)

Pattern C: Times by 3 each time

the total weight of 3 puppies is 2 pounds 4 ounces. how much does puppy weight in ounces. convert to ounces

Answers

Answer:

60 ounces

Step-by-step explanation:

there are 16 ounces in a pound plus the extra 4 ounces times 3 is 60 ounces in total

DIG DEEPER A vehicle travels 250 feet every 3 seconds. Find the value of the ratio the unit rate, and the constant of
proportionality.
The value of the ratio is ( )
The unit rate is ( )
feet per ( )
second
The constant of proportionality is ( )

Answers

Answer:

83.33 or 83.3 feet per second

Step-by-step explanation:

250 feet/3 seconds = 83.33 ft per second


Which of the following is the graph of y = X + 4

Answers

Answer:

x = – 4

(i just use app sorry if I'm wrong)

Use the bar graph. Astronauts installed 15 new tiles on the outside of the space station they spent 390 minutes on the task. each tile took the same amount of time to install. draw a bar in the graph to show the time needed to install a tile. Explain

Answers

Answer:

11. It will take about 26 minutes to install a singular tile.

12. It will take about 10 more minutes to install a light than it does to install a cable.

Step-by-step explanation:

11. Since installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time, you can divide the total amount of time by the number of tiles.

390/15= 26 minutes

It will take about 26 minutes to install a single tile.

12. By looking at the chart it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.

22-12= 10 minutes

It takes about 10 minutes longer to install a light than it does a cable.

It took about 26 minutes to install a single tile and 10 minutes longer to install a light than it does a cable.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

Installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time,

We have to divide the total amount of time by the number of tiles.

390/15= 26 minutes

It will take about 26 minutes to install a single tile.

By observing the chart, it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.

22-12= 10 minutes

It takes about 10 minutes longer to install a light than it does a cable.

Hence, it took about 26 minutes to install a single tile and 10 minutes longer to install a light than it does a cable.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

What is the expected number of female children in a family with three children? 1 1. 5 2 2002. 5.

Answers

The expected number of female children in a family with three children is 1.5.

The correct option is B.

We have to determine

What is the expected number of female children in a family with three children?

Probability;

Probability is defined as the sum of all observations and the number of observations.

The expected value of female children= Probability of female children x Total number of children.

A child can be male or female, so there are 2 combinations, the favorable outcome is female.

The probability of female children = 1/2.

Therefore,

The expected number of female children in a family with three children is;

[tex]= \dfrac{1}{2}\times 3\\\\=1.5[/tex]

Hence, The expected number of female children in a family with three children is 1.5.

To know more about probability click the link given below.

https://brainly.com/question/743546


Help meeeee
The price of a new car is $30,000. If the sales tax is 6.5%, what is the total cost for the car, including tax?

Answers

Answer:

$31950

Step-by-step explanation:

We multiply 30,000 by .065 to get 1950. We ad them together to get $31,950. :)

Answer:

$31,950 dollars

Step-by-step explanation:

Given the following question:
Initial price of the car is $30,000...
The car has an increase tax of 6.5% (which means 6.5% of the initial price of the car is the sales tax.)

In order to find the total cost of the car, we need to find 6.5% of $30,000 and then add that number to the initial price to have the answer.

[tex]\frac{6.5\times30000}{100} =6.5\times30000=19500\div100=1950[/tex]
[tex]30000+1950=31950[/tex]
[tex]t=31950[/tex]

Therefore, the car has the total cost (including tax) of "$31,950 dollars."

Hope this helps.

Convert mixed numbers:

1. 2 1/3 x 9 2/3

2. 5 3/7 x 2 2/5

3. 2 6/13 x 2 1/4

4. 2 11/12 x 3 7/9

5. 5 3/5 x 5 1/7

6. 2 2/3 x 2 11/14

7. 7 1/4 x 2 1/2

8. 1 12/13 x 2 2/3

9. 2 3/4 x 1 1/6

10. 10 1/3 x 2 1/5

Answers

Answer:

Step-by-step explanation:

To convert this mixed numbers;  mixed numbers are converted by multiplying the denominator with the whole number and add answer gotten to the numerator.  you then place final answer over the denominator.

1.  21 /3  x  9 2/3  = 21/3 x 29/ 3

7 x 9.67  = 67.66

2.  5 3/7 x 2 2/5  =  38 / 3   x   12 /5  =

                             12.67   x  2.4 =  30.43

3.  2 6/13  x  2 1/4  =  32 / 14   x  9 /4

                                     2.28  x  2.25  = 9.13

4.  2 11/12 x 3 7/9   =  35 / 12  x  34 /9

                                  2.916  x 3.77   =  11.016

5.  5 3/5 x 5 1/7  =  28/5  x 31 / 7

                              5.6   x 4.428  = 24.8

6.   2 2/3 x 2 11/14   =  8/3  x  39/14

                                    2.66      x  2.78 =  7.413

7.   7 1/4  x 2 1/2  = 29/4   x  5 /2

                              7.25   x 2.5   = 18.125

8.  1 12/3  x 2 2/3 =  15 /3   x  8/3

                               5  x 2.66   =  13.33

9. 2 3/4  x 1 1/6 =   11/4  x 7/6

                                2.75 x  1.166  = 3.20

10.  10 1/3  x 2 1/5 =  31/3 x 11/5

                                  10.33  x  2.2  =  22.726

In right triangle ABC, sin B = 2x+0.42 B=2x+0.42 and cos C = 9x+0.84 C=9x+0.84. Solve for xx.

Answers

Answer:

-0.06

Step-by-step explanation:

What 8 letter word can have taken away and it still make a word .Take another letter away and it still make a word .Keep on doing that until you have one letter Left What is the word?

Answers

the word is “starting”
starting
staring
string
sting
sing
sin
in
i

The radio of boys to girls at mathematics high school is 4:3 if there are 1526 students at the school, how many are girls

Answers

Answer:

654 girls

Step-by-step explanation:

sum the parts of the ratio , 4 + 3 = 7 parts

divide total by 7 to find the value of one part of the ratio

1526 ÷ 7 = 218 ← value of 1 part of the ratio , then

number of girls = 3 × 218 = 654

ms.lopez can do 25 push ups. ms. red can do twice as many push ups as ms.lopez. how many more push ups can ms.red do than ms.lopez

Answers

Answer:

Ms. Red can do 25 more push ups than Ms. Lopez.

Step-by-step explanation:

25 x 2 = 50.

50 is how many Ms. Red can do.

50-25= 25.

20x + 6 What is the constant?

Answers

Answer:

Step-by-step explanation:

The constant is 6

Hope this helps!

The constant is 6 because it is a number with no variable next to it.

What is the simplified form of 4 X 62 = 3 + 7?

Answers

10.....

thats all you can simplify out of it

Answer: In terms, it would be false when solved it 248 = 10

Step-by-step explanation:

When you multiply 62 and 4 you will get 248

When you add 3 and 7 you will get 10

Obviously [tex]248\neq 10[/tex] so this equation can't be simplified and it's false

Write the expression below in its simplest form.
(3d+5)+(d-2)

Answers

Answer:

4d+3

Step-by-step explanation:

Combine the like terms 3d + d which is 4d and 5 - 2 is 3, keep the addition symbol, and you will get 4d+3

The answer is 4d+3

(3d+5)(d-2)

you add 3d+1d=4d

You now subtract 5-2=3 (since the higher absolute value is +5, your answer will be +3, not -3)

=4d+3 :)

Which of the following polynomials is in standard form?
O A. F(X= -3x4 - 1+6x2 +7x
B. F(x) = -3x4 +6x2 +7x-1
C. F(x) = -3x4 +6x2 - 1+7 x
OD. F(x) = 7x+6x2 - 1-3x4

Answers

Answer:the answer is d

Step-by-step explanation:

d is correct

Answer: is b

Step-by-step explanation:

which of the following is a rational number but not an integer
-9
0
-4.3
3

Answers

-4.3 is a rational number but not an integer.

okokokokokokokokookokokok

Answers

Step-by-step explanation:

5(y+52) = -13

5y + 260 = -13

5y = -13 -260

y = -273 ÷ 5

y = -54.6

Please help, I’ll mark your answer as brainliest.

Answers

the denominator is x² -9x+14≠0
factorize it
(x-7)(x-2)≠0
x≠7 and x≠2

hence domain is x ∈ (-∞,2) U (2,7) U (7, ∞)

I NEED HELP ON NUMBER 11 ASAP!!

Answers

Answer:

4x+2

and 22

Step-by-step explanation:

2x-5+6+2x-5+6=4x+2

if x=5, so perimeter 4(5)+2=20+2=22

Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4. 5. " She translated it as shown below. 6 x = negative 2 x minus 4. 5 What errors did Emma make? Select two options. She should have used division to represent the quotient of six and x. She should not have included an equal sign. She should have used parentheses to show that Negative 2 is multiplied by (x minus 4. 5). She should have subtracted the difference (x minus 4. 5) from Negative 2. She should have used parentheses to show that Negative 2 is multiplied by (4. 5 minus x).

Answers

This is wrong because the difference of x and 4.5 that is (x- 4.5) is negative two times that is -2(x -4.5). Then the correct option is C.

What is a BODMAS rule?

BODMAS rule means for the Bracket, Order, Division, Multiplication, Addition, and Subtraction.

Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4. 5. " She translated it as shown below.

[tex]\rm 6 x = -2 x - 4. 5[/tex]

This is wrong because the difference of x and 4.5 that is (x- 4.5) is negative two times that is -2(x -4.5).

Thus, She should have used parentheses to show that Negative 2 is multiplied by (x minus 4. 5). Then the correct option is C.

More about the BODMAS rule link is given below.

https://brainly.com/question/24383445

“The points given in each table lie on a line. Find the slope of the line. Then graph the line”

Answers

Hey there here u go

Help plsss!?!?!??!?!??>...................................

Answers

Answer:

A,B,D

Step-by-step explanation:

case A) If the price is marked down by  percent, the new price will be

we know that

If the price is marked down by 10  percent

then the new price will be

10%= 10/100=0.10

(1 - 0.10) *$28= 0.90 * $28

=$25.20

therefore The statement case A) is True

case B) If the price is marked down by 25 percent, the new price will be $21

we know that

If the price is marked down by 25 percent

then the new price will be

25%=25/100=0.25

(1-0.25)* $28=0.75*$28

=$21

therefore The statement case B) is True

case C) If the price is marked down by 50 percent, the new price will be $19 we know that

If the price is marked down by 50 percent

then the new price will be

50%=50/100=0.50

(1-0.50)*$28= 0.50*$28

=14

therefore The statement case C) is False

case D) If the price is marked down by  35 percent, the new price will be $18.20

we know that

If the price is marked down by 35 percent

then the new price will be

35%= 35/100=0.35

(1-0.35)* $28=0.65*$28

=18.20

therefore The statement case D) is True

case E) If the price is marked down by 40 percent, the new price will be $29.80 we know that

If the price is marked down by 40 percent

then the new price will be

40%=40/100=0.40

(1-0.40)*$28= 0.60*$28

=$16.80

therefore The statement case E) is False

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