A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:

Answers

Answer 1

Answer:

The mean of X is 2

Step-by-step explanation:

Given the data in the question;

set of 10 cards consist of 5 red card and 5 blacks

cards are chosen, replaced and shuffled four times;

number of independent trials n = 4

now, since its is replaced, the probability of getting a red card in each trial will be;

p = 5/10 = 0.5

let X rep the number of red cards observed in the four trials.

the random variable follows binomial distribution where

n = 4 and p = 0.5

so

E(X) = ∑xP( X = x )

E(X) = np

we substitute

E(X) = 4 × 0.5

E(X) = 2

Therefore, The mean of X is 2


Related Questions

Evaluate r^2−s^2, when r=12 and s=5.

Answers

Step-by-step explanation:

Given r = 12, s = 5,

[tex] {r}^{2} - {s}^{2} = {12}^{2} - {5}^{2} \\ = 144 - 25 \\ = 119[/tex]

1/6 students are wearing blue shirts, and 2/3 are wearing white shirts. There are 36 students. How many students are wearing shirts that arent blue or white?​

Answers

Answer:

6 students are wearing shirts that aren't blue or white

Step-by-step explanation:

1/6 + 2/3 = 5/6  

5/6 are wearing either blue or white so 1/6 isn't wearing blue or white

there are 36 student and 1/6 means 36 divided by 6

36 divided by 6 = 6

Hi there, hope everyone is well and staying cool :D
Pls can you answer this question!
Brainliest, brainliest, brainliest.................
Pls send me your name first, then i will call you brainliest
The quickest and right answer gets to be brainliest and the rest I will thank you
ENJOY!!!!!!!!

Answers

Answer:

A) By using the Pythagorean Theorem, we will see that [tex]8^2 + 15^2 = 17^2[/tex]. If we simplify it, we will find that the hypotenuse of Δ[tex]ABC = 17[/tex]

B) approximately [tex]18.79[/tex]

Step-by-step explanation:

A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!

***Pythagorean Theorem is  [tex]leg^2 + leg^2 = hypotenuse^2[/tex]

B) Here, you can also use the Pythagorean Theorem! However this time, the equation will be, [tex]8^2 + 17^2 = AD[/tex].  

[tex]8^2 + 17^2 = 64 +289[/tex][tex]64 + 289 = 385[/tex][tex]\sqrt{385} \\[/tex] ≈ [tex]18.79[/tex]

Hope you do well on the rest of your math problems :D

CAN YOU GUYS PLS HELP WHAT GOES IN EACH BOX ITS OVERDUE :( IM ABT TO FAIL WILL GIVE BRAINLIEST

Answers

Answer:

18 days.

Step-by-step explanation:

Takes 6 days to eat 1 apple so multiply 6 by three to get your answer.

Answer:

18 days

Step-by-step explanation:

since the ratio is 3 days to 1/2 that would mean 6 days is to 1 apple, so if you just multiply 6 days by 3 you would get 18 days because you would need to find how many days for 3 apples.

1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.

a) Factor2+7x+12

b) Use the zero product property to solve for x







b) Use the zero product property to solve for x

Answers

Answer:

7x+14=0, 7x=-14, x= -2

Step-by-step explanation:

add like terms, then get x on one side, number on the other, then divide both sides by 7

A park is rectangular with a length of 2/3
miles. If the area of the park is 3/9
square miles, what is its width? Input your answer as a fraction.

Answers

Answer:

Step-by-step explanation:

let : x the width  

the area  is 2/3 ×  x  =3/9

x = (3/9)×3/2

x =1/2  miles

Please help with this

Answers

9514 1404 393

Answer:

  15.4 square feet

Step-by-step explanation:

The area of the painting will be the area of the sketch multiplied by the square of the ratio of linear dimensions.

  painting area = (0.24 square feet)(8^2) = 15.36 square feet

The area of the painting is about 15.4 square feet.

Which expression is equivalent to xy^2/9?

Answers

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

The denominator of a fractional exponent becomes the index of the radical when the power is written using a radical. The fractional power only applies to the y-factor, so that is all that is under the radical.

  [tex]\displaystyle xy^{\frac{2}{9}}=x\cdot (y^2)^{\frac{1}{9}}=\boxed{x\sqrt[9]{y^2}}[/tex]

The minimum value of h(x) is 2 *
h(x) = 3(x + 1)^2 – 2
True or
False???

Answers

9514 1404 393

Answer:

  False

Step-by-step explanation:

The minimum value is -2.

The length of segment GI is 8. True or false?

Answers

Answer: false

Step-by-step explanation: that’s what my teacher told me sorry if it’s wrong

Answer:

It is false

Definetely false

NO LINKS.
12 ÷ x = 36
Find x.

Answers

Answer:

x=1/3 or 0.3

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Answer:

Solution given:12 ÷ x = 36

x=12/36=1/3 is your answer

Find the value of y.
3 cm
5 cm
X
6 cm
у
2 cm
3 cm
y = [?] cm
Enter a decimal rounded to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

2x11=22

3(3+x)

22=9x+3x

Subtract nine

13=3x

Multiply 13 by 3=13/3

Convert to decimal

Answer is:4.3

a) Work out 4 1/7+1 1/2​

Answers

Answer:

5 9/14

Step-by-step explanation:

easy maffs

Which point represents the opposite of —5 on the number line?

Answers

Answer:

5 :)

Step-by-step explanation:

The answer that points the opposite of -5 is 5

Solve this question for brainlest

Answers

Answer:

multiply is your answer

mark brainliest please :D

Solve for x.
3x + 7 = 28
O A. x=-7
OB. x= 2.3
O c. x=7
OD. = 11.6
E. x = 18

Answers

Answer:

The answer is C, x = 7.

Step-by-step explanation:

3x + 7 = 28

-7. -7

3x = 21

/3. /3

x = 7

The answer is C. X=7. The rest don’t even make sense

Melissa bought 2 shirts and 3 skirts and spent between $45 and $60. Each shirt costs the same amount. Each skirt costs the same amount. The price of a shirt is $12. What is the least amount Melissa could have spent on a skirt? What is the most Melissa could have spent of a skirt?

Answers

Answer:

Least is 7

Most is 12

Step-by-step explanation:

So 2 shirts for 12.

So 24

Take 24 off of both

Left with 21 to 36

21÷3 is 7

36÷3 is 12

Hope this helps

Answer:

least - $7

most - $12

Explanation:

if the price of a shirt is $12, she must have spent at least $24 on the shirts in total.

the least amount melissa could have spent on a skirt is:

($45 - $24) ÷ 3 = $7

and the most she could have spent is:

($60 - $24) ÷ 3 = $12

i hope this helps! :D

Which expressions below are equivalent to 5 + 4(x - 7)? Select all that apply. A. 5 + 4x + 28 B. 4x - 28 + 5 C. 4x - 23 D. 9x - 28​

Answers

Answer:

C

Step-by-step explanation:

you have to multiply 4 by x-7 thats equal to 4x - 28 then you have to substract 5 to 28 thats equal to 23 so the answer is 4x -23

f(x)=-2x² + 3x-6, find f (3)

Answers

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6Multiply:                                                                                                             f(3) = -18 + 9 - 6Add:                                                                                                                   f(3) = -9 - 6Subtract:                                                                                                            f(3) = -15

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6

Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6

Multiply:                                                                                                             f(3) = -18 + 9 - 6

Add:                                                                                                                   f(3) = -9 - 6

Subtract:                                                                                                            f(3) = -15

Dawn is baking an Apple pie she has a European recipe that calls for 1500 decigrams of sugar. how many cups of sugar will she need?​

Answers

Answer:

she needs exactly 3 cups

Step-by-step explanation:

(1 point) Solve the following inequality, giving your answer in interval notation.
1 - x > 2

Answers

Answer:

-1

Step-by-step explanation:

1-x>2

-x>2-1

-x>1

-x/-1>1/-1

x<-1

Answer:

[tex]x < - 1[/tex]

Step-by-step explanation:

first step

try to leave x's in your left and number in your right

-x > 2-1

-x>1

step 2

by moving the sign minus to right it will become plus

and the inequality sign will change also

so x<-1

the region will ( - infinity to -1 )

[tex]( - \infty - 1)[/tex]

Find the y-intercept and the axis of symmetry of:
f(x) = ax^2 + 8ax - 5

Answers

Answer:

y-intercept (0,-5) and AOS x = -4

Step-by-step explanation:

To find the y-int make x = 0 so f(0) = -5

The axis of symmetry (AOS) can be found by the equation x = -b/2a

So AOS = -8a / 2a, so AOS = -4 since b=8a and a = a

Convert 80 liters into gallons. Round your answer to the nearest tenth.

Answers

Answer:

21.13 US gallons

Step-by-step explanation:

. _ .

Answer:

21.1338 rounded to the nearest tenth is 21.10

Step-by-step explanation:

If arc AB = 107° and arc BC = 122°, find the value of x.

Answers

Answer:

the value of x is acb 133°

Take home pay is equal to

Answers

Answer:

gross income - ( required deductions + optional deductions )

Maria needs to be at the airport terminal at 18:45. It will take 2 3/4 hours to drive to the airport from her home, and a further 40 minutes to park and get to the terminal.
What is the latest time she should leave home?
Give your answer as a time in the 24-hour clock.

Answers

Answer:

18:45

Step-by-step explanation:

D is greater than E and less than C.
C and D are opposites.
At least one number is greater than A.

HELP

Answers

Answer:

?

Step-by-step explanation:

someone please help me answer this!!

Answers

Answer:

7.8 mi is the answer.

Step-by-step explanation:

a = 6 mi

b = 5 mi

c = ?

According to the Pythagorean theorem,

a² + b² = c²

6² + 5² = c²

36 + 25 = c²

c² = 61

c = 7.810

Round to the nearest tenth,

c = 7.8 mi

Phoebe is 3 years less than half her brother’s age. Phoebe is 13 years old. Her brother is b years old. Write an equation that could be used to find her brother’s age.
plzzzzzz help

Answers

Answer:

dont know dont care

Step-by-step explanation:

u should pay more attention to what you lesson/teacher is teaching you

Walmart is selling
school supplies: 5
notebooks only cost
$4.02! How much
would znotebooks
cost? What about 7
notebooks?
Plz help! :)

Answers

Answer:

2 notebooks are $2.48, 7 notebooks are $8.68

Step-by-step explanation:

Unit rate is 1.24

1.24x2= $2.48

1.24x7= $8.68

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