Acellus Find the expected value of a random variable x having the following probability distribution. 0 1 2 3 4 5 Probability 1/8 1/4 3/16 1/4 1/16 1/8 ​

Acellus Find The Expected Value Of A Random Variable X Having The Following Probability Distribution.

Answers

Answer 1

Answer:

"2.25" is the right answer.

Step-by-step explanation:

According to the question,

The expected value will be:

= [tex]\sum_{i=1}^{n} x_i P(X = x_i)[/tex]

= [tex]0\times \frac{1}{8}+1\times \frac{1}{4}+2\times \frac{3}{16}+3\times \frac{1}{4}+4\times \frac{1}{6}+5\times \frac{1}{8}[/tex]

= [tex]0+\frac{1}{4}+\frac{3}{8} +\frac{3}{4}+\frac{1}{4} +\frac{5}{8}[/tex]

= [tex]\frac{1}{4} +\frac{8}{8} +\frac{4}{4}[/tex]

= [tex]\frac{1}{4} +1+1[/tex]

= [tex]0.25+2[/tex]

= [tex]2.25[/tex]

Thus the above is the right approach.

Answer 2

Answer:

The answer is 9/4 in fraction form

Step-by-step explanation:

Rate the answer you welcome.


Related Questions

What is the solution set of 7x 2 + 3x = 0?

{0, 3/7}
{0, -3/7}
{0, -4/7}

Answers

Answer:

the answer is b when we have two positives it makes a negitive therefore its b

Step-by-step explanation:

Simplify each numerical expression.
1) 6 + 2 x 8 - 12 + 9 - 3

Answers

Answer:

16

Step-by-step explanation:

using BODMAS rule

6 + 16 - 12 + 9 - 3............step 1

22 - 3 - 3....…...................step 2

16

5. PLEASE HELP ME
Write the equation in standard form. Then factor the left side of the equation.

2x2 + 7x = 15


A. (2x – 3)(x + 5) = 0

B. (2x + 3)(x + 5) = 0

C. (2x + 5)(x – 3) = 0

D. (2x – 5)(x + 3) = 0

Answers

Answer:

7x=11

Step-by-step explanation:

do it

Simplify (Asap️ )
please answer this if you know
(full steps required )
(please no spam answers)​

Answers

see the attachment hope this helps you

Resolve into factor :(a+b) ^3+1​

Answers

Answer:

use the formula a^3+b^3= (a+b)-3ab(a+b)

in above question assume (a+b) as a and 1 as b

later in (a+b+1) take (a+b) as a and 1 as b

and use the formula (a+b)^2 = a^2+2ab+b^2

I need help with this someone help me out

Answers

Answer:

answer is 10 (very easy)

Answer:

380. 1

Step-by-step explanation:

A=π r2=π. 11^2= 380.13271

would you Rather geometry
Walk on a line or A line segment
why?​

Answers

i would walk on a line segment, because a line segment is one place to another and not infinite.

PLS HELP ME ON THIS ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU KNOW TGE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

LOL

Answer:

D. The over 30s have a larger range and interquartile range than the under 30s

Step-by-step explanation:

In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.

The water level in a plastic pool changed
by −8 gallons each hour due to a small
hole in the bottom. After 6 hours, the pool
contained 132 gallons. How much water
was in the pool originally?

Answers

Answer: 180 gallons

Step-by-step explanation:

If you take 8 times 6 you get 48, now take 132 plus 48 and you get 180.(hope this helped):)

Find the area and the perimeter of a triangle (shown below)

PLZZZ

Answers

Answer:

A = 120, P = 55

Step-by-step explanation:

Triangle

Area = (bh)/2

A = (20x12)/2

A =240/2

A = 120

Perimeter = a + b + c

to find c, use a^2 +b^2 = c^2

20^2 + 12^2 = c^2

400 + 144 = c^2

544 = c^2

c = about 23

20 + 12 + 23 = 55


A factory inspector found flaws in 3 out of 18 wooden boxes. What is the experimental probability that the next wooden box will be flawed?
Write your answer as a fraction or whole number.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{1}{6}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Evaluate the following
expression using x = 6:
8(3x + 1)


Anyone know the answer

Answers

Answer:

152

Step-by-step explanation:

Substitute the given value for x.

[tex]8(3(6)+1)\\8(18+1)\\8(19)\\152[/tex]

Answer:

152

Step-by-step explanation:

8(3x+1)

Let x = 6

8(3*6+1)

Multiply inside the parentheses

8(18+1)

Add inside the parentheses

8(19)

Multiply

152

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

B

Step-by-step explanation:

we have a formula of volume:

V= 4/3*pi*R^3 = 4/3*3.14*(18/2)^3 = 3052.08

If you open an already created budget Excel spreadsheet, what is one feature it has when calculating amounts?

A) There isn't an already created budget Excel spreadsheet.

B) Formulas are already included that will calculate the totals for you.

C) You need to create formulas by yourself to calculate the totals.

D) You can use a calculator to add the numbers.

Answers

Formulas are already included that will calculate the totals for you.

the perimeter of a right angled triangle is 60 cm and its area is 120cm².find the lengths of the triangle.​

Answers

Step-by-step explanation:

The area of triangle given as 120 cm2

Area of Triangle = 1/2 x b x h = 120

therefore bxh = 240

240 can be factorized as 10 x 24

The perimeter of the triangle is given as 60

so the other side has to be 26 cm

As this is a right angle triangle it should satisfy pythagoras theorem

(10)2 + (24)2 = (26)2

100+576 =676

Hence the sides of the triangle are 10 cm, 24 cm and 26 cm

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

? ≈ 37°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{4}{5}[/tex] ) ≈ 37° ( to the nearest degree )

True or False:

4x and 4x2 are like terms

Answers

Actually its false

In algebra 4x and 4x² are two different terms and are not like terms.

Must click thanks and mark brainliest

Could you please please help me with these questions this is my last attempt and it's due today

Answers

Answer:

70.20%

Step-by-step explanation:

Since you seem to be in a rush, let's go for a concise answer.

Let's add 146 and 344 to get 490, and do 344 / 490. This gives us the decimal proportion of ice cream cones that was sold. 344 / 490 = 0.70204.

Excellent. To get the percentage, let's multiply 0.70204 by 100 to get 70.204%. Rounding this to the nearest hundredth gives us 70.20%.

Hope this helps!

Note: This question seems to be badly worded, your 42.44% is correct if it's percentage of ice cream bowls in ice cream cones. I'm assuming that it's the percentage of all ice cream. :)

Review the table of values for function f(x).

Which number is the value of f^-1(-2)?

O -8

O -7

O 1/8

O 1

Answers

Answer:

1/8

Step-by-step explanation:

f^-1 part makes it into a fraction

The bill before tax at a restaurant is $32, and the sales tax is 10%. You decide to leave a 15% tip based on the pre-tax amount. What will be the amount of the total bill, including tax and tip?

Answers

Bill before tax = $32

Tax = 10/100×32

= $3.2

Tip = 15/100×32

= $4.8

Total cost = 32 + 3.2 + 4.8

= $40

Answered by Gauthmath must click thanks and mark brainliest

A rectangle has a perimeter of 50m, the ratio between the two side is 32 . Caculator the area of that rectangle?

Answers

Answer:

Area of rectangle = 150 cm

Step-by-step explanation:

Given the following data;

Ratio = 3:2 Perimeter = 50m

To find the area of the rectangle;

First of all, we would determine the dimensions (length and width) of the rectangle;

For length;

Length, L = 2x

For width;

Width, W = 3x

Mathematically, the perimeter of a rectangle is given by the formula;

P = 2(L + W)

50 = 2(2x + 3x)

50 = 2(5x)

50 = 10x

x = 50/10

x = 5

Length, L = 2x = 2 * 5 = 10 cm

Width, W = 3x = 3 * 5 = 15 cm

Now, we would find the area of the rectangle;

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = length * width

Area of rectangle = 10 * 15

Area of rectangle = 150 cm

Write the name of the definition, postulate, property or theorem that justifies the statement about the diagram.

Answers

The following are the statement justifications and explanatory reasons ;

(a) AD + DB = AB; Is justified by segment addition postulate

Reason

Segment addition postulate states that let A and B represent two points,

Then a third D can be on the line joining A and B, if and only if the

relationship between the points is according to the equation, AD + DB = AB

only

(b) m∠1 + m∠2 = m∠CDB; Is justified by angle addition postulate

Reason

Angle addition postulate states that given that a point B lies between an angle m∠AOC, then we have;

m∠AOC = m∠AOB + m∠BOC

(c) ∠2 ≅ ∠6; Is justified by vertically opposite angles theorem

Reason

Vertical angles formed by the crossing of two lines are always equal

(d) If D is the midpoint of [tex]\overline{AB}[/tex], then AD = [tex]\dfrac{1}{2}[/tex]×AB; Definition of midpoint

Reason

The midpoint of a line is the point that is of equal distance from both ends of the of the line. It is the point halfway between the endpoints

(e) If [tex]\underset{DF}{\rightarrow}[/tex] bisects ∠CDB then ∠1 ≅ ∠2; Definition of angle bisector

Reason

An angle bisector is a ray or line that divides an angle into two angles that are congruent

(f) m∠ADF + m∠FDB = 180°; Linear pair postulate

Reason

The linear pair postulate states that where we have two angles that form a linear pear (their addition forms a straight line), then the two angles are supplementary  (their sum is 180°)

(g) ∠ADF and ∠4 are supplements, then m∠ADF + m∠4 = 180°; Definition of supplementary angle

Reason

Supplementary angle are defined as angles that when added together, have a sum of 180°

(h) If ∠4 is complementary to ∠5, and ∠6 is complementary to ∠5, then ∠4 ≅ ∠6; Transitive property

Reason

Transitive property states that given three real numbers, a, b, and c, if a = b and c = b, then a = c

Learn more about angle properties postulates, and theorems here;

https://brainly.com/question/14437065

Can someone help me with this question pls

Answers

Answer:

D

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 94 and d = a₂ - a₁ = - 112 -  (- 94) = - 112 + 94 = - 18 , then

S₁₀ = [tex]\frac{10}{2}[/tex] [ (2 × - 94) + (9 × - 18) ]

     = 5(- 188 - 162)

     = 5 × - 350

     = - 1750

Between which two numbers does 46 lie?
A.
between 8 and 9
B.
between 6 and 7
C.
between 5 and 6
D.
between 7 and 8

Answers

Answer:

So the sqrt(46) is between 6 and 7

Step-by-step explanation:

sqrt(46)

5*5 = 25

6*6=36

7*7=49

So the sqrt(46) is between 6 and 7

A school bought 45 band uniforms and 18 musical instruments. If the
uniforms cost $89 each, what was the total cost of the uniforms?

Answers

Answer:

45 times 89

Step-by-step explanation:

The instuments are irrelevant and are only there to distract you.

Answer:

45 times 89 equals 4005

Step-by-step explanation:

regroup and factorise:
x(x+2)+x+2​

Answers

Regrouping

⇒x (x+2) + x + 2

⇒x² + 2x + x + 2

⇒x² + 3x + 2

Now factorising

By Splitting the middle term method

⇒x² + 3x + 2

⇒x² + 2x + x + 2

⇒ x(x+2)+1(x+2)

⇒ (x+1) (x+2)

Explain the steps necessary to convert a quadratic function in standard form to vertex form.

Answers

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Sample response

Find the measures of angles​ 1, 2, and 3.
Two perpendicular lines cross each other. Another line rises from left to right intersecting the perpendicular lines where they both intersect. Angles labeled 1, 2, 3 and 57 degrees are shown. Angle 1 is opposite of angle 3. Angle two is opposite to a right angle. Angle 57 degrees plus angle 1 is a right angle. Angle 3 plus the angle opposite of angle 57 degrees is a right angle.

Answers

57 degrees and 27 degrees
oh

PLEASE SOMEONE HELP ME ANSWER THIS !!!!

Write the equations of the linear and exponential functions that pass through the points (0, 15) and (1, 5)

Linear Equation, y = mx+b

Exponential Equation, y = a(b)^x

PLEASE ANSWER IT I HAVE AN IMAGE ATTACHED IF NEEDED !!!!

Answers

Step-by-step explanation:

Part A: Linear Equation.

One of the points is (0,15). This means 0,15 is the y intercept so b=15.

We can find the slope

[tex] \frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10[/tex]

So our equation is

[tex]y = - 10x + 15[/tex]

Part B: Exponential Equation

We know that

[tex]15 = a \times b {}^{0} [/tex]

B to the zero power is 1 so

[tex]15 = a[/tex]

This means a =15. Now let find b.

[tex]5 = 15 \times b {}^{1} [/tex]

[tex] \frac{1}{3} = b[/tex]

So the equation is

[tex]y = 15( \frac{1}{3} ) {}^{x} [/tex]

A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate
1.the coordinate of M and N
2./AB/, correct to one decimal place
3.The eqation PQ​
I need answers urgently.
pls

Answers

Could you show us a picture of the question
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