Random variable contains the random outcome of an event in **probability**, The mean and standard deviation are calculated in terms of expected values E(x) in case of random variable.

The mathematical formalization of a number or object that is subject to chance events is known as a random variable. It is a function or mapping between a space of potential outcomes, commonly real numbers, to a space of **measurement**.

The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

for a random variable, we use expected value for mean and standard deviation.

mean = E(X)

Standard deviation = [tex]\sqrt {variance} =\sqrt {E(X^{2})-(E(X)^{2})}[/tex]

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Substitution

x+5y=13, 4x+7y=0

PLEASE HELP MEE<3

**Step-by-step explanation:**

x+5Y=13...... 1

4x +7y=0..... 2

from eqn 1

x =13-5y

substitute into eqn 2

[tex]4(13 - 5y) + 7y = 0[/tex]

52-20y +7y=0

52-13y=0

52=13y

y=52÷13

*y=**4*

*substitute** **Y **into **eqn **2*

x +5y=13

x + 5(4)= 13

x+ 20=13

x=13-20

x=-7

What is the value of sin(F)?

1 point

4/3

3/5

4/5

3/4

**Answer:**

the value of sin(F) is 3/5

Ms reynolds has 5 pounds of clay for her art club. If she divides the clay into 1 third pound pieces, how many pieces will she have?

**Answer:**

15

**Step-by-step explanation:**

Total quantity of clay = 5 pound

Now, Reynolds divides the clay into 1 third pound pieces.

this means each piece of clay weighs = 1/3 pounds

Therefore, number of pieces of clay = Total weight of clay/ weight of each piece

= 5/(1/3) = 15

2 BEC = 74°. What is 2 AED?

**Answer:**

AED is also 74

**Step-by-step explanation:**

they share the same crossing lines

Answer: 74

Step-by-step explanation:

The designer wants to plant new flowers around the pond. How many feet of flowers would she need to plant in this new design? Round to the nearest hundredth. Show your work.

Answer: 1,257.14 ft

Step-by-step explanation:

The question is missing the vital detail of the diameter or radius of this circular pond which I found to be 400 feet.

The plants are to be planted around the pond which means that they are to be planted around the circumference of the pond.

The number of feet of flowers to be planted is therefore the circumference.

Circumference = π * diameter

= 22/7 * 400

= 1,257.14 ft

make x the subject of the formula y=2x+4

**Answer:**

X= y/2-2

**Step-by-step explanation:**

Well to isoalte x just do the same thing you would do for y,

Isolate the numbers without a variable buy subtravting 4 on each side.

y-4=2x

Now isolate 2 and x by divide 2 on both sides

y/2-2=x

This can be **determined** by the simple **mathematical** **concepts**. Therefore the value of x is, [tex]\bold{x=\dfrac{y-4}{2} }[/tex] the subject of he **formula **y=2x+4.

Given that the **subject **of the **formula **y=2x+4.

We have to **find x.**

**According **to the **question**,

To **obtained **the **value **of **x **by the given **formula **

i.e. ** y = 2x+4 ** .....(1)

Now the value of x is from the above equation (1)...

[tex]\bold{x=\dfrac{y-4}{2} }[/tex]

Hence, the **value **of x , [tex]\bold{x=\dfrac{y-4}{2} }[/tex] makes x the **subject **of the **formula **y=2x+4.

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3 liters of milk divided by 20

**Answer:**

0.15 Per person/number!

**Step-by-step explanation:**

3liters divided by 20

Please answer!!!!! Im in the middle of this test and im not sure what the answer to this is!

**Answer:**

Increase of 8

**Step-by-step explanation:**

x = y-8

y=x+8

**Answer:**

Ummm try -4 akfkaf cuz I think it is girly lolll im so goofy

**Step-by-step explanation:**

help please thank you

**Answer:**

C

**Step-by-step explanation:**

Take sides AD and MP.

6 in. in ADCB is 3/2 * 4 in. in MPON

I need help with this question ( see image). Please show workings.

**Answer:**

(a) ∠KHG = 120°

(b) (i) KG = 15.625 km

(b) (ii) bearing of G from K = 240°

**Step-by-step explanation:**

(a) 360° - 290° = 70°

∠KHG = 70° + 50° = 120°

(b) (i) ∠KGH = 26°

∠GKH = 34°

KG = 7.875 + 7.75 = 15.625 km

(b)(ii) Bearing from G from K = 110° + 130° = 240°

Help please i need this last question

**Answer:**

(D) or 703.4^2 is the answer here.

**Step-by-step explanation:**

Well I would imagine this.

Imagine a cylinder right and its liek a soda can. If you cut the middle straight down (which is the height) and you pull out the whole sheet and flatten it, you get a rectangle. You have the height but no width. The width can be found be finding the Circumfrnce of the circle or the perimeter of the circle on top.

Circumfrence formula is C=dπ or in this case the radius is 7, double the radius which would be 14 and the diameter, multiply that by π, you’d Get 43.98229 smth.

Now you have the surface for that rectangle or the surface recall for the whole cylinder except for the top and bottom, you just gotta find the top and double it!.

The area of a circle is a=πr^2

Raidus in. This case is 7, 7^2=49. 49π double it (top and bottom) is 307 smth Yu add those two up and you’d get 703.4 smth so the answer is (D).

Which is shown below?

12 > 11

A. An operation

B. An inequality

C. An expression

D. An equation

SUBMIT

**Answer:**

B Inequality

**Step-by-step explanation:**

since 12 is greater than 11 they are not equal

> this sign is the greater than sign

What is the center of the circle and radius defined by the following equation?

x2+y2+4y=5

**Answer:**

**Step-by-step explanation:**

Alternate forms:

x^2 + y (y + 4) = 5

x^2 + y^2 + 4 y - 5 = 0

Solutions:

y = -sqrt(9 - x^2) - 2

y = sqrt(9 - x^2) - 2

Integer solutions:

x = ± 3, y = -2

x = 0, y = -5

x = 0, y = 1

Implicit derivatives:

(dx(y))/(dy) = -(2 + y)/x

(dy(x))/(dx) = -x/(2 + y)

how do we interpret -58

**Answer:**

The way you would interpret -58 is that unlike positive numbers such as 50 or 70, -58 is actually behind the number zero. Take it as like an elevator that goes below the surface level, -58 is 58 floors below the surface.

**Answer:**

take it as an elevator sjsiisisis

answer question plsss and explain

**Answer:**

36 is the final

**Step-by-step explanation:**

4(5)+8(2)

20+16

36

solve 9 a pleaseeeeee

answer ⬆️

i hope this helps!! :)

.............................................................................................................................................................................................................................................h......................................................................................................................................................................e........................................................................................................................................................................l.........................................................................................................................................................................p

**Answer:**

Steps To Find The Distance Between Two Planes

Write equations in standard format for both planes.

Learn if the two planes are parallel.

Identify the coefficients a, b, c, and d from one plane equation.

Find a point (x1, y1, z1) in the other plane.

Substitute for a, b, c, d, x1, y1 and z1 into the distance formula.

**Step-by-step explanation:**

find the missing side of this right triangle.

i believe x = 7 ? not very sure tho.

**Answer:**

x = 8

**Step-by-step explanation:**

a² + b² = c²

x² + 15² = 17²

x² + 225 = 289

x² = 289 - 225

x² = 64

[tex]\sqrt{x^2} =\sqrt{64}[/tex]

x = 8

If Savannah increases her protein intake from 45g to 54g in order to stay competitive in volleyball. What is the percentage increase of her protein intake?

20% :) you can find the percentage difference between the numbers to make it easier

Ms. Taylor has a box on her desk for paper clips with a total volume of 120 cubic cm. The

paper clip box has a length of 6 cm and a width of 4 cm. What is the height of the box?

**Answer: i have the same question **

**Step-by-step explanation:**

**Answer:**

The answer is **5.**

**Step-by-step explanation:**

6 x 4 is 24, and if you divide 120 and 24, you can see you get 5.

I need this answer as soon as possible will give brain thing

**Answer: X=5 so whats 3 + 5? easy, 8. so now you know the bottom is eight and since it's a rectangle the top is also 8. And the left side is 15 so we know the right side is also 15. To find the perimeter you add all the sides of which in this case it would be 8 + 8 + 15 + 15. or (8 times 2) + (15 times 2). = 46 the answer is 46**

**Step-by-step explanation:**

how many yards are in 45 inches

**Answer:**

1.25

**Step-by-step explanation:**

Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in 1/2 hours?

A. 6 1/2

B. 6 3/4

C. 5 3/4

D. 5 1/4

**Answer:**

D

**Step-by-step explanation:**

21/2 = 10.5

10.5 x .5 = 5.25 = 5 1/4

The answer is D.

Find (3c2 - 8c + 5) + (c2 - 8c - 6).

A

3c2 - 1

B

4c2 - 16c - 1

C

2c2 - 16c - 1

**Answer: B**

4c^2 - 16c - 1

**Step-by-step explanation:**

**(3c2 - 8c + 5) + (c2 - 8c - 6).**

remove parantheses.

3c2 - 8c + 5 + c2 - 8c - 6

add common factors

answer= 4c^2 - 16c - 1

six subtracted from the product of three and a number is greater than or equal to -24￼

**Answer:**

6 - 3x [tex]\geq[/tex] -24

**Step-by-step explanation:**

used to have a square garage with 296 ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?

**Answer:**

230 ft

**Step-by-step explanation:**

What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?

A) 5/2 and 25/4

B) 5/2 and 7/4

C) 7/2 and 25/4

D) 7/2 and 7/4

**Given:**

Base of the larger figure = 30 yd

Base of the smaller figure = 12 yd

**To find:**

a) The ratio of the perimeters of the larger figure to the smaller figure.

b) the ratio of the area of the larger figure to the smaller figure.

**Solution:**

a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.

The given figures are similar. So, the ratio of the perimeters is:

[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]

[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]

[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]

b) The ratio of area of similar figures is equal to the ratio of squares of their sides.

[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]

[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]

[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]

[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]

[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]

**Therefore, the correct option is A.**

log3(4x)=2

[tex]log3(4x)=2[/tex]

I need more of an explanation to answer your question

Out of the 125 children at summer camp, 45 signed up for swimming and 38 signed up for arts and crafts. Twelve students who signed up for swimming also signed up for arts and crafts. If a child is randomly selected, what is the probability that they are signed up for swimming, if it is known that they did not sign up for arts and crafts? Please help!

**Answer:33/125**

**Step-by-step explanation:**

First, you subtract 12 from 45, because there were 45 who signed up for swimming and 12 of them also signed up for arts and crafts. So, there are 33 children, out of the 125, who only signed up for swimming. Which means there is a 33/125 chance that a child who only signed up for swimming is randomly selected.

HELP I AM TIMED AND EXPLAIN HOW YOU GOT IT

Answer:

C) p + 3 < 20

Step-by-step explanation:

Since the max is 20, it has to be < 20

p + 3 < 20

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