The following table shows the probability distribution for a discrete random
variable.
Х
11
14
16
19
21
23
24
29
P(X) 0.07 0.21
0.17 0.25 0.05 0.04 0.13 0.08
What is the mean of this discrete random variable? (That is, what is E(X), the
expected value of X?)
A. 19
B. 19.625
C. 20
D. 18.59

Answer:

C

Step-by-step explanation:

Got it correct, Edge2020.

Answer:

c. week 4 to week 6

Step-by-step explanation:

got it right on my test

Answer:

On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).

Step-by-step explanation:

I graphed the equation on the graph below so you can where I got my answer.

Answer:

the answer is D

Step-by-step explanation:

hope this helps!

Answer:

15.94490514

Step-by-step explanation:

First, work out the average, or arithmetic mean, of the numbers:

Count: 5(How many numbers)

Sum: 357(All the numbers added up)

Mean: 71.4(Arithmetic mean = Sum / Count)

Then, take each number, subtract the mean and square the result:

Differences:

4.6, -26.4, -7.4, 8.6, 20.6

(Every Number minus Mean)

Differences^2:

21.16, 696.96, 54.76, 73.96, 424.36

(Square of each difference)

Now calculate the Variance:

Sum of Differences2:1271.2(Add up the Squared Differences)

Variance:254.24(Sum of Differences2 / Count)

Lastly, take the square root of the Variance:

Standard Deviation:15.94490514 (The square root of the Variance)

Answer:

D

Step-by-step explanation:

1/4 x -36 = -9

1/4 x 4/3 = 1/3

1/4 x 12 = 3

But...

1/4 x 0.444444... = 0.111111...

So A is the answer

√12  produces an irrational number when multiplied by 1/4

A real number that cannot be expressed as a straightforward fraction is referred to as an irrational number. It cannot be described using a ratio. When p and q are integers and q is not equal to 0, N is not equal to p/q if N is irrational.

Given Four numbers to find the number that will produce an irrational number after dividing by 4. We will check them one by one:

For A, 0.4444:

=> 0.444

After multiplying by 1/4

=> 0.1111111

That can also write as 1/9(Not an irrational number)

For C, -√36:

=> -√36

After multiplying by 1/4

=>-√9/4

That can also write as 3/2(Not an irrational number)

For D, 4/3:

=> 4/3

After multiplying by 1/4

=> 1/3

That can also write as 1/3(Not an irrational number)

For B. √12:

=> √12

After multiplying by 1/4

=> √12/4

=>√(3/4)

That can also writes as √(3/4)(yes, an irrational number)

Therefore, The irrational number in the given option is B √12

Learn more about irrational numbers here:

https://brainly.com/question/17450097

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[tex]x = 67.5 \\ solution \\ x + 3x + 90 = 360(sum \: of \: complete \: turn) \\ or \: 4x + 90 = 360 \\ or \: 4x = 360 - 90 \\ or \: 4x = 270 \\ or \: x = \frac{270}{4} \\ x = 67.5 \\ hope \: it \: helps[/tex]

Answer: x = 67.5°

Step-by-step explanation:

Is this for area or the magnitude of the angle? Ill solve for the angle. A circle has a total degree of 360. And they give us the right angle of 90°.

So the equation we have here is 90 + 3x + x = 360. Subtract 90 from both sides to get 3x + x = 270. Combine the like terms to get 4x = 270. Now just divide each side by 4 to get 67.5°

Answer:

4

Step-by-step explanation:

1 1/2 ÷ 3/8

Change to an improper fraction

3/2 ÷ 3/8

Copy dot flip

3/2 * 8/3

Cancel like terms

8/2

4

Answer:

4

Step-by-step explanation:

all work is in the image below!

Factor the numerator and denominator and cancel the common factors.

Answer: £ 260.78

Step-by-step explanation:

Answer: -$13.47 per hour

Step-by-step explanation:

Hi, to answer this question we have to write an expression:

The total amount earned by the employee will be equal to the product of the number of hours he worked (36) and the amount paid per hour (9.25) ; plus the product of the amount paid for every 20 transformers assembled (8) and the number of transformers assembled (380)divided by 20 :

9.25 (36) + 8 (380/20) =  

Solving:

333+ 8 (19) =

333+152 = $485

If we divide the result by the number of hours:

485 /36 = $13.47 per hour

Feel free to ask for more if needed or if you did not understand something.  

Answer:

$13.47 per hour

:):):):):):)

Answer:

54/125

Step-by-step explanation:

2/375, 2/125, 6/125, 18/125

It is obvious the common ratio = 3

The next term = 3*18/125= 54/125

Answer: 54/125

Step-by-step explanation:

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

                           = [tex]\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})[/tex]

                           = [tex]\frac{1}{2}(3.14)(10)^2+(40\times 20)[/tex]

                           = 157 + 800

                           = 957 square feet

Answer:

76.58 feet.

Step-by-step explanation:

A yard is 3 feet. Change each value to feet. So then we have 2 pieces of rope that are each 48 feet in length, 1 piece of rope that is 4.17 feet in length, and 1 piece of rope that is 123.25 feet in length. Add these all together. 223.42 is what you get. Subtract this from 300. You get 76.58.

Answer:

132.25 feet

Step-by-step explanation:

total rope they have now= (2x16)+(1x12.5)+(1x123.25)= 167.75

additional rope needed= 300-167.75= 132.25

Step-by-step explanation:

Answer:

first itself we should do the answer                         and only we can answer it

Step-by-step explanation:

Answer:

3. A = 363.3 mm²

4. A= A = 1122.4 yd²

Step-by-step explanation:

pretty sure these are correct

plz mark brainliest!

Answer:

Correct

Step-by-step explanation:

This report is correct because the most people finished in 4 hours

Answer:

I think you are correct. I hope this helps please tell me if you get it right or wrong.

Step-by-step explanation:

Answer:

$1001.75

Step-by-step explanation:

Do 4007 x 0. 25 on a calculator

Answer:

254.34 cubed centimeters

Step-by-step explanation:

Answer:

25p

Step-by-step explanation:

IM NOT SURE IF ITS RIGHT BUT THAT WHAT I THINK. HAVE A NICE DAY!

Answer:

Hi...

The correct ans is 25 p

Hope this helps.....

Pls mark my ans as brainliest....

Sry dude the calculations r longggggggggggg

Be sure to mark my ans as brainliest

Answer:

40

Step-by-step explanation:

A quarter of 1600: 400

A tenth of 400:40

The value of 10th of a quarter of 1600 is 40.

A quarter of the number is 1/4 times of the number i.e. times of the number.

Quarter of x= (1/4)*x= 0.25 * x

Given in the question that we have to calculate 10th of a quarter of 1600.

Before that we have  to first calculate a quarter of 1600 which is calculated by using the above formula

quarter of 1600= (1/4)*1600= 0.25* 1600= 400

Now we have to calculate 10th of a quarter of 1600 i.e. 10th of 400.

10th of 400= (1/10) * 400= 40

Therefore the value of 10th of a quarter of 1600 is 40.

Learn more about the quarter

here: https://brainly.com/question/382406

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Answer: side = 6.8 inches

Step-by-step explanation:

Side of pentagon = perimeter/5

= 34/5 = 6.8

Answer:

B

Step-by-step explanation:

Because ∠EDF and ∠BDC are vertical angles, ∠D = 9x. Since ∠ABD and ∠BDC are supplementary, our answer is 2x + 105° + 9x = 180° or B.

Answer:

B

Step-by-step explanation:

∠ BDC = 9x ( vertical angles )

∠ ABD and ∠ BDC are supplementary , thus

∠ ABD + ∠ BDC = 180 , substitute values

2x + 105 + 9x = 180 → B

Answer:

34

Step-by-step explanation:

area = (1/2)base * height.

area= half of 17 times 4

a=8.5 x 4

a=34

Answer: C

Step-by-step explanation:

Area = 1/2 bh

Area = 1/2 x 4 x 17

= 34 sq inches

Answer: x > 20

Step-by-step explanation:

x + 10 > 30

    -10     -10

x > 20

Answer:

x-3

Step-by-step explanation:

x+7-7>10-7

subtract 7 from both sides

Answer:

the 3 one is 4+5=9876

Step-by-step explanation:

Answer:

3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

3/4 + (1/3÷ 1/6 - (-1/2)=

3/4 + 2 - (-1/2)=

2 3/4 - (-1/2)=

3 1/4

hope it helps mark me as brainliest

Answer:

2x(3x + 2)

Step-by-step explanation:

Answer

102

Step-by-step explanation:

X means 3 not times, lots of people mess that up sometimes. Anyways, do 8+3 which equals 11. 8+3=11. So next what you do is you do 11 + 16 which is 27,

equations:

8+3=11

11+16=27

21/1=27

27/4= 6.75

6 x 3= 27

27 + 72 + 3= 102

Then go back to the beginning and do 1/4. If this confuses let me fix it.

now divide it with 4. Look at the equations list. Okay now do 6.72/4x. MAKE SURE TO MULTIPLY DON'T DIVIDE! You multiply 6 and 4 then you add 72 and three! Then you should end up with 102! I hope this worked message me back if it did :)

Answer:

16x

Step-by-step explanation:

What goes in the box is

4x * 4

16x

Answer:

x² + y² = 72

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

The radius is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 6)

r = [tex]\sqrt{(6-0)^2+(6-0)^2}[/tex]

  = [tex]\sqrt{6^2+6^2}[/tex]

  = [tex]\sqrt{36+36}[/tex]

  = [tex]\sqrt{72}[/tex]

Thus

x² + y² = ([tex]\sqrt{72}[/tex] )² , that is

x² + y² = 72 ← equation of circle

Answer:

should look like this

Step-by-step explanation:

sorry for the messiness was a quick sketch

Answer:

3/4

Step-by-step explanation:

There are 12 marbles in the bag

9 marbles are not blue

P(not blue) = marbles that are not blue / total marbles

                   = 9/12 = 3/4