Can someone please help me with part b?

Answer:

Random Sample

Random Sample: Each member of the entire population has an equal chance of being selected. Simple Random Sample: You can select groups of size n from the entire population, and every possible group has the same chance of being selected.

Step-by-step explanation:

Given info:- X = √(4-√7) and Y = √(4+√7)

Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?

Explanation:-

Given that:

X = √(4-√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ X = √[2{(4-√7)}/2]

⇛ X =√[(8-2√7)/2]

⇛ X =√[{(7+1)-2√7{/2]

⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]

It is in the form of a²-2ab+b²

Where , a = √7 and b = √1

⇛X = √[{(√7-√1)}²/2] [∵(a-b)² = a²-2ab+b²]

⇛ X = (√7-√1)/√2

⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)

and

Y = √(4+√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ Y = √[{2(4+√7)}/2]

⇛ Y =√[(8+2√7)/2]

⇛ Y =√[{(7+1)+2√7}/2]

⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]

It is in the form of a²+2ab+b²

Where , a = √7 and b = √1

⇛Y = √[{(√7+√1)}²/2] [∵(a+b)² = a²+2ab+b²]

⇛ Y = (√7+√1)/√2

⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)

On adding Eqⁿ (1) & Eqⁿ(2)

→ X+Y = (√7-1)/√2+(√7+1)/√2

→ X+Y = (√7-1+√7+1)/√2

→ X+Y = (2√7 )/√2

→ X+Y = (√2×√2×√7)/√2

→ X+Y = √2×√7

→ X+Y = √14 — — — — Eqⁿ(3)

On Subtracting Eqⁿ(2) from Eqⁿ(1)

→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]

→ X-Y =[ (√7-1 )-(√7+1)]/√2

→ X-Y = (√7-1-√7-1)/√2

→ X-Y = (-1-1)/√2

→ X-Y = -2/√2

→ X-Y = -(√2×√2)/√2

→ X-Y = -√2 — — — — Eqⁿ(4)

On multiplying Eqⁿ(1)& Eqⁿ(2)

→ XY = [(√7-1)/√2][(√7+1)/√2]

→ XY = (√7-1)×(√7+1)/(√2×√2)

→ XY = [(√7)²-(1)²]/(2) [∵(a+b)(a-b) = a²-b²]

→ XY = (7-1)/2

→ XY = 6/2

→ XY = 3 — — — — — Eqⁿ(5)

Now,

The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²

It can be written as

⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²

From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)

⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²

⇛ (2/3) + (9×14)+(14)

⇛ (2/3)+(126)+(14)

⇛ (2/3)+140

⇛ [2+(3×140)]/3

⇛(2+420)/3

⇛ 422/3

Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.

If you have any doubt, then you can ask me in the comments.

Answer:

It's D)

C is incorrect because the constant is + 1, not - 8

A is incorrect because the f doesn't go up by 2 for every x value

B is incorrect because 2/3 * 2 would be 4/3 which is 1 1/3, which is wrong because g goes up by 2 every x.

D is correct because f goes up by 1/3, and the y-intercept is 1 (Where the line meets when the x-axis is 0) and 1/3 * 6x is 6x/3 which is 2x, then add the y-intercept to the equation, which should be 2x + 1

Answer:

-5

Step-by-step explanation:

g(x)= 3x+1

g(-2)

g(-2)= 3x+1

g(-2)= 3(-2)+1= -5

Answer:

A

Step-by-step explanation:

Got this right on edmentum

Answer:

The way to calculate the volume of a 3D object like a cube is by multiplying the length times the width and the height or you could also use base times the height to find the volume. The way to calculate the volume could help construction workers to see how much area the building takes up and a lot of other stuff.

Step-by-step explanation:

Answer: 2

Step-by-step explanation: i dont even need to explain

Answer:

2

Step-by-step explanation:

one apple plus one apple gives you two apples :)

Answer:

What is a partner

Step-by-step explanation:

Answer:

yeeeeee

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

1. To find the slope of this line, we can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] since we're given the two points from the line.

2. (Solving)

Therefore, the slope is -3.

Answer:

Step-by-step explanation:

I would start with the form

y = mx + b

and then convert to standard form.  Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2 ⇒ m = -5/7

y = (-5/7)x + 2  

7y = - 5x + 14

5x + 7y = 14 (standard form)

The equation in standard form of the line is 5x + 7y = 14

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, a line is passing through (7, -3) and has a y intercept of 2

The general equation of a line is y = mx + b

Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2

m = -5/7

y = (-5/7)x + 2  

7y = - 5x + 14

Converting into standard form;

5x + 7y = 14

Hence, the equation in standard form of the line is 5x + 7y = 14

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ2

78

Step-by-step explanation:

23+28+16+11=78

people who was interested in the restaurant

Answer:

j(10) (÷} =÷9

so let's check 89÷9= 9

Answer:

d - $36

Step-by-step explanation:

I=Prt

(interest=principle*rate*time in years)

I=1200*.03*1

I=1200*.03

I=36

Answer:

Step-by-step explanation:

Value of x= `

4x+5y-6z =2

x= (2-5y+6z) divided by 4

For example : if x is 2.5

2.5 = 2 - 5x2 + 6x3

Answer:

It's proportional when you have a straight line that goes through the origin, meaning (0,0), meaning x = 0 and y = 0, meaning: when x = 0, then y has to be = 0 too! That's obviously not the case here. You can see that the line hit the y axis way above 0. So this graph is not directly proportional to x.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets verify one-by-one:

a)

b)

c)

d)

As we see in three cases we get rational number but the smallest one is 3, this indicates the answer is option b.

Answer:

7/8

you need a common denominator so multiply 3/4 by 2 to get 6/8 so now to have a common denominator then just add 1/8+6/8

Answer:

The answer is 7/8.

Step-by-step explanation:

First convert the 3/4 into eighths to get a common denominator. This will add everything together easier. Since 3/4 = 6/8, that means 1/8 + 6/8 = 1/8 + 3/4. The answer is 7/8. You can't simplify the answer any further.

Answer:

8 Purses

Step-by-step explanation:

6 divided by 453= 75.5

604 divided by 75.5= 8

Plz give brainliest

Answer:

$945 no cents so no need to round the recimals

Step-by-step explanation:

$300 times the 5% is $15 dollars in interest

so in three years it would be an additional $45 dollars

Answer:

5/2, 9/4 and 19/7.

Step-by-step explanation:

Rational numbers can be written as a/b where a and b are integers ( b not = 0).

Answer:

2812.5

Step-by-step explanation:

Answer:

D. 26

Step-by-step explanation:

╲┏━┳━━━━━━━━┓╲╲

╲┃◯┃╭┻┻╮╭┻┻╮┃╲╲

╲┃╮┃┃╭╮┃┃╭╮┃┃╲╲

╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲

╲┃◯┃╭╮╰╯┏━━━┳╯╲

╲┃╭┃╰┏┳┳┳┳┓◯┃╲╲

Brainliest?

Answer:

9/100

Step-by-step explanation:

9×100 = 9/100 I think

if r = 15

A≈706.86

Steps:

A = πr²=π·15²≈706.85835 ( round to the nearest tenth )

= 706.86

Circle Formula:

Diameter of a Circle D = 2 × r

Circumference of a Circle C = 2 × π × r

Area of a Circle A = π × r2

Answer:

5/6

Step-by-step explanation:

3 hours= 2 1/2 miles

1 hour= 2 1/2 divided by 3

It would take him 5/6 of an hour

Hop this helps!

Answer:

10.

Step-by-step explanation:

If you're subtraction a negative number, you are basically adding a positive number. 5-(-5) = 5+5.

Hey there!

GUIDE:

2 negatives = positive

2 positives = positive

1 negative & 1 positive = negative

1 positive & 1 negative = negative

Negatives are BELOW 0 and they are to the LEFT of 0

Positives are ABOVE 0 and they are to the RIGHT of 0

ANSWERING the QUESTION

5 - (-5)

= 5 + 5

= 10

Therefore, your answer is: 10

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

linear

Step-by-step explanation: