II. Let us see what you have learned in this module by
completing the following statements.
The Central Limit Theorem implies the following important
ideas in statistics:
1. The sample mean can be considered approximately
normally distributed if the sample size is
2. If the population is not normally distributed, or if we don't
know of its distribution, the
allows us to
conclude that the distribution of the sample mean will be
normal if the sample size is sufficiently large.
3. The population mean is equal to the
of the
sampling distribution. That is u = ur.
4. Mean of the sampling distribution of the sample mean is
equal to the population mean: H. - = H and the
of the sampling distribution of the sample
mean (sampling with replacement)
is equal to: 0,7
5. The Central Limit Theorem describes the
of the sample mean taken from a
population that is not normally distributed
o

Answer:

f⁻¹(x) =

Step-by-step explanation:

Given function,

→ f(x) = 5x - 6

We are supposed to find ths inverse of the given function. Consider the function, y = f(x).

→ y = 5x - 6

Add 6 to both sides.

→ y + 6 = 5x - 6 + 6

Solve the equation.

→ y + 6 = 5x

Division both sides by 5.

→ y + 6/5 = 5x/5

Solve the equation.

→ (y + 6)/5 = x

Can be re-written as,

→ x = (y + 6)/5

Now, recall f(x) = y, this implies x = f⁻¹(y).

→ f⁻¹(y) = (y + 6)/5

So the final answer is:

→ f⁻¹(x) = (x + 6)/5

Answer:

14

Step-by-step explanation:

5+x-y (x-y=9) so -----> 5+9=14

Answer:

5+9 = 14

Step-by-step explanation:

x-y = 9, so 5+x-y would be equal to 5+9

5+9 is 14

hope this helps!

Answer:

max = 150

Step-by-step explanation:

the maximum height is the value of the y- coordinate of the vertex.

given a quadratic equation in standard form : y = ax² + bx + c = 0 ( a ≠ 0 )

then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

- 16x² + 64x + 86 = 0 ← is in standard form

with a = - 16 and b = 64 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{64}{-32}[/tex] = 2

substitute x = 2 into the quadratic for corresponding y- coordinate

- 16(2)² + 64(2) + 86 = - 16(4) + 128 + 86 = - 64 + 128 + 86 = 150

vertex = (2, 150 )

then maximum height is 150 units

Graph the cubic using its end behavior and a few selected points.

Falls to the left and rises to the right

x    y

-2   20

-1    16

0  0

1  -16

2  -20

The equation of the line in point-slope form is: y - 12 = -4/5(x - 5).

It is given as, y - b = m(x - a), where (a, b) is a point on the line and m is the slope of the line.

Rewrite 5x-4y=10 in slope-intercept form:

-4y= - 5x + 10

y= -5x/-4 + (10/-4)

y = 5/4x - 5/2

The slope is 5/4

The line that is perpendicular to 5x-4y=10 will have a slope which is the negative reciprocal of 5/4, which is -4/5.

Substitute (5, 12) and -4/5 into y - b = m(x - a):

y - 12 = -4/5(x - 5) [point-slope form]

Learn more about point-slope form on:

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Answer:

Would the answer be 9?

Step-by-step explanation:

Use PEMDAS.
3/1/3=1
9-1-8
8+1=9

[tex]9 - 3 \div \frac{1}{3} + 1[/tex]

you can follow the PEDMAS rule where,

P= Parenthesis

E= Exponents

D= Division

M= Multiplication

A= Addition

S= Subtraction

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

[tex]9 - 8 = 1[/tex]

[tex]8 + 1 = 9[/tex]

Answer:

first step. 10+20+30+40+50+60=210

second step. 10+20+30+40+50+60 and 6=200.1

third step. 5+10+15+20+25+30+3+105+3=216

Step-by-step explanation:

hope this helps

Answer:

The value of x is 55⁰.

Step-by-step explanation:

Let n be X,

(n+7)⁰+(3n-47)⁰=180⁰

or,n+7+3n-47=180

or,4n-40=180

or,4n=180+40

or,4n=220

or,n=220/4

.:n=55⁰##

[tex]\pi = 180[/tex]

[tex] \frac{17 \times 180}{12} = \frac{3060}{12} = 255[/tex]

Answer:

3+3? bet u can’t do that  ;-;

Step-by-step explanation:

Answer:

35.53 meters = circumf

Step-by-step explanation:

76 degrees out of 360 degrees = 7.5 m

76 / 360    * x   = 7.5

x = 35.53 m

Answer:

Your dog weighs 9.97903kg.

Step-by-step explanation:

[tex]1lb = 0.453592kg[/tex]

[tex]22lbs * 0.453592kg/lbs = 9.97903kg[/tex]

The total surface area of the three figures are 702 square feet.

According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.

In this case, we need to estimate the total surface area ([tex]A_{T}[/tex]), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (n), no unit, and the surface area of each piece (A).

Now we proceed to calculate the total surface area:

[tex]A_{T} = n\cdot A[/tex]

[tex]A_{T} = 3\cdot \left[(5\,ft)\cdot (8\,ft) + (2\,ft)\cdot (8\,ft)+(8\,ft)\cdot (7\,ft)+(3\,ft)\cdot (8\,ft) \\[/tex]

[tex]+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ][/tex]

[tex]A_{T} = 702\,ft^{2}[/tex]

The total surface area of the three figures are 702 square feet. [tex]\blacksquare[/tex]

To learn more on surface areas, we kindly invite to check this verified question: https://brainly.com/question/2835293

Answer:

[tex]a_n=33+6n[/tex]

Step-by-step explanation:

General form of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

Given terms:

To find the common difference, subtract a term from the next:

[tex]d=a_3-a_2=51-45=6[/tex]

Substitute [tex]a=39[/tex] and [tex]d=6[/tex] into the formula:

[tex]\implies a_n=39+6(n-1)[/tex]

[tex]\implies a_n=39+6n-6[/tex]

[tex]\implies a_n=33+6n[/tex]

Answer:

(x4 36) I didn't that is .   or + so I solved it on +

Hope that what you looking for :)

Step-by-step explanation:

BY Using the long divison method,  x⁴ + 36 is divided by x² - 8 is 100

Dividend = x⁴ + 36

Divisor = x² - 8

_____x²+8

x² - 8 | x⁴ + 36

| x⁴ - 8x²

-8x² + 36

8x² - 64

_100

The remainder is calculated as (36 - (-64)) = (36 + 64) = 100

Therefore, the remainder is 100

The system of equations that represents the situation is given by:

C. x² – 2y ≥ 5000, 2x + 5y < 1000

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In tis problem, the company's stock is represented by the expression x² - 2y, and the goal is a stock value of at least $5,000, hence the first equation is given by:

x² – 2y ≥ 5000

The purchases are represented by 2x + 5y, and the goal is to keep it below $1,000, hence the second equation is given by:

2x + 5y < 1000

This means that option C is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

x2 – 2y ≥ 5000

2x + 5y < 1000

Step-by-step explanation:

I got it right on the test.

Answer:

  a = 7

Step-by-step explanation:

You have correctly found the perimeter of the figure to be (34a+12). To find the value of 'a', solve the equation that sets this equal to 250.

  34a +12 = 250

  34a = 238 . . . . . . . subtract 12

  a = 238/34 = 7 . . . . . divide by the coefficient of 'a'

The value of "a" is 7.

✏Answer ✏

A=7

Step-by-step explanation:

# Brainliest Bunch

Answer:

3x + 5x = 720

8x = 720

x = 90

1st) 3x = 3 x 90

270

2nd) 5x = 5 x 90

450

Answer:

d = 4/c.

Step-by-step explanation:

Inverse variation is :  d = k/c where k is a constant.

Here k = 4.

Answer:

answer can be any numbers but I will choose

x = 50° and y =130°

Step-by-step explanation:

We know all the inner degree of rhombus =360°

Then, x+y+x+y = 360°

or,2x + 2y = 360°

or, 2(x + y) = 360°

or, x + y = 360°/2

or,x + y = 180°

Let x = 50° then

50° + y = 180°

or, y = 180° - 50°

or, y = 130°

Answer:

V = 104 in³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = lbh ( l is length, b is breadth, h is height )

here l = 13 , b = 2, h = 4 , then

V = 13 × 2 × 4 = 26 × 4 = 104 in³

Answer:

b = 5c

Step-by-step explanation:

I think …, I’m confused with how it’s phrased

Step-by-step explanation:

it seems we are dealing with subtraction, as the differences between the 1st and second, and between the 2nd and 3rd numbers are equal : -7

so, we can assume that the sequence is created by always subtracting 7.

a1 = 352

a2 = a1 - 7 = 352 - 7 = 345

a3 = a2 - 7 = a1 - 7 - 7 = 352 - 7 - 7 = 338

an = an-1 - 7 = a1 - 7(n-1) = 352 - 7(n-1)

a43 = 352 - 7(43-1) = 352 - 7×42 = 352 - 294 = 58

Answer:

Positive association Hope this helps

[tex]\huge\fcolorbox{blue}{yellow}{Answer:}[/tex]

══════════════════════

Answer:

[tex] = n\geq -64 [/tex]

Solution:

[tex]\frac{ 3 }{ 4 } n+12 \geq -36[/tex]

[tex]\frac{3}{4}n\geq -36-12 [/tex]

[tex]\frac{3}{4}n\geq -48 [/tex]

[tex]n\geq -48\times \left(\frac{4}{3}\right) [/tex]

[tex]n\geq \frac{-48\times 4}{3} [/tex]

[tex]n\geq \frac{-192}{3} [/tex]

=[tex]n\geq -64 [/tex]

═════════════════════

Explanation:

#Carry on learning

Equally likely refers to two or more possible outcomes of a given situation that have the same probability or the same likelihood to occur. For example, if you throw a die, there are six possible outcomes. You could get 1, 2, 3, 4, 5, or 6. These outcomes are equally likely to occur.