Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean
A. Each member visits the fitness center 3 or 4 days per week.
B. The average number of days that each member visits the fitness center is 3.12 days per week.
C. Half the members visit the fitness center 3 days per week or less, and the other half 4 days per week or more.
D. The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
E. For a random sample of members selected from the population, the average number of visits for the sample will be 3.12 days per week.

Answer:

centre = (- 6, - 1 ) , radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given

x² + y² + 12x + 2y + 12= 0

Collect the x- terms and the y- terms together and subtract 12 from both sides

x² + 12x + y² + 2y = - 12

Using the method of completing the square

add ( half the coefficient of the x / y coefficients )² to both sides

x² + 2(6)x + 36 + y² + 2(1)y + 1 = - 12 + 36 + 1

(x + 6)² + (y + 1)² = 25 ← in standard form

with (h, k ) = - 6, - 1 ) as centre and r = [tex]\sqrt{25}[/tex] = 5

Answer:

I believe the answer is 47. Forgive me if I'm wrong

Answer:

14

Step-by-step explanation:

Answer:

16 + 2 = 14 + 4

? = 14

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If  the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis

Then the two points on that line will be (14,17.50) and (16,20)

We know that the slope of a lien with points  is give by:-

Hence, the slope of the graph with points  (14,17.50) and (16,20) is given by :-

Therefore, the slope of the graph = 1.25 dollars per roll.

Answer:

(-4v-5)-(v-1)= -5v-4

Step-by-step explanation:

hope it helps :D

Answer:

ok you want to come then come here

Answer:

27/31

Step-by-step explanation:

5pink : 1yellow

4yellow : 7blue

times the first ratio by 4 so that the yellows are equal (if that makes sense)  

20pink : 4yellow : 7blue = 31 buttons

so the total is 31 buttons alltogether

and the pink and blue buttons together = 27 buttons

so 27/31 is the probability the button is pink or blue

Answer:

1/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/15

5x = 10 + 3x

5x - 3x = 10

2x = 10

x = 5

To check

5(5) = 10 + 3(5)

25 = 10 + 15

25 = 25

Answer:

x = 5

Step-by-step explanation:

Number = x

5x = 10 + 3x  

2x = 10

x = 5

The answer is 6 per team with 2 left over, as (6 x 3) + 2 = 20

I thought of the largest amount that could be multiplied by 3, but the product would be less or equal to 20, that's how I got 6.

Then to find the left over remaining balls that are given out I subtracted 20-18 = 2.

Answer:

square

Step-by-step explanation:

question: A _____ is a regular quadrilateral with four equal sides and four equal angles.

first we have that it is a regular quadrilateral.

regular shapes are shapes that have equal side lengths, and equal interior angle measures.

a quadrilateral means it has 4 sides

if there are 4 sides, and all the angles are equal then each angle will be 90 degrees/ a right angle.

therefore you get a shape with:

4 congruent (equal) sides

4 right angles

this describes a square!

1. 9p - 9p = -8 - 7

0 = - 15

2. 6x + 12 = 6x - 18

6x - 6x = - 18 - 12

0 = - 30

That's what I got

Answer:

The sum of 7/13 and 11/26 is 25/26.

Step-by-step explanation:

7/13 + 11/26

The common denominator is 26

7/13 *2/2 +11/26

14/26 + 11/26

25/26

Answer:

[tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Derivative Rule [Basic Power Rule]:

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle h(x) = [2 + f(\sin x)]''[/tex]

Step 2: Differentiate

From here, if you would like, you can take the 3rd derivative of the last piece.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

[tex]y = \frac{x}{2} [/tex]

[tex]2x + 2y = \sqrt{180} \\ = > 2x + 2( \frac{x}{2} ) = \sqrt{180} \\ = > 2x + x = \sqrt{2 \times 2 \times 3 \times 3 \times 5} \\ = > 3x = 2 \times 3\sqrt{5} \\ = > 3x = 6 \sqrt{5} \\ = > x = \frac{6 \sqrt{5} }{3} \\ = > x = 2 \sqrt{5} [/tex]

[tex]x.y \\ = x \times \frac{x}{2} \\ = \frac{ {x}^{2} }{2} \\ = \frac{ {(2 \sqrt{5} )}^{2} }{2} \\ = \frac{4 \times 5}{2} \\ = \frac{20}{2} \\ = 10[/tex]

Answer:

10

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

b

Step-by-step explanation:

Given

2x + 2y = [tex]\sqrt{180}[/tex] = [tex]\sqrt{36(5)}[/tex] = 6[tex]\sqrt{5}[/tex]

and y = [tex]\frac{x}{2}[/tex] , then

2x + (2 × [tex]\frac{x}{2}[/tex] ) = 6[tex]\sqrt{5}[/tex]

2x + x = 6[tex]\sqrt{5}[/tex]

3x = 6[tex]\sqrt{5}[/tex] ( divide both sides by 3 )

x = 2[tex]\sqrt{5}[/tex]

and y = [tex]\frac{2\sqrt{5} }{2}[/tex] = [tex]\sqrt{5}[/tex]

Then

xy = 2[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 2 × 5 = 10 → b

Exchanging x and y and isolating y, it is found that the inverse function is:

[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]

The function given is:

[tex]g(x) = y = \frac{1}{x - 1}[/tex]

To find the inverse function, we exchange x and y and isolate y, hence:

[tex]x = \frac{1}{y - 1}[/tex]

[tex]x(y - 1) = 1[/tex]

[tex]xy - x = 1[/tex]

[tex]xy = 1 + x[/tex]

[tex]y = \frac{1 + x}{x}[/tex]

Hence, the inverse function is:

[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]

You can learn more about inverse functions at https://brainly.com/question/16485117

Answer:

third option: log_2  1/3

Step-by-step explanation:

change of base formula:

log_b  a= (log_x a)/(log_x b)

(log 1/3)/(log 2)

apply reverse change of base formula

2 from log 2 becomes new base, and 1/3 becomes the other number

=log_2  1/3

The original logarithmic expression which when undergoes the change of base formula gives the expression ㏒ (1/3) / ㏒ (2) is third option ㏒₂ (1/3).

Given a logarithmic expression,

㏒ (1/3) / ㏒ (2)

This expression is the result of a logarithmic expression when undergoes change of base formula.

The change of base formula is as given below.

㏒ₐ (x) = ㏒ₙ (x) / ㏒ₙ (a)

Using the same formula here,

We have the expression ㏒ (1/3) / ㏒ (2).

Here x = 1/3 and a = 2

So, the required expression is,

㏒ₐ (x) = ㏒₂ (1/3)

Learn more about Logarithmic Expressions here :

https://brainly.com/question/14407082

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Answer:

domain is {4,5,6,7,8}, range is the other numbers in brackets

Step-by-step explanation:

Answer:

Cheryl's posts + 7 posts =Kevin Posts

K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin

Operation=subtraction or addition because it could be K-C=7 or C+7+K

Cheryl wrote K-7=C posts

Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

Answer: -8

Step-by-step explanation: negative numbers are below zero in this case its 8 below zero which the keyword is below which means less than negative integers are less than zero so its -8

Answer:

53.

Step-by-step explanation:

DE = CD = 6 ( as triangle ACE is isosceles so AD is the perpendicular bisector of CE.

Therefore CE = 12.

AB + BC + AC = 41 (given perimeter of ABC)

AB + BC + AE + 12 =   perimeter of ABE.

But AE = AC   ( given), so

AB + BC + AC + 12 = perimeter of ABE

Now we know that AB + BC + AC = 41 , so

41+ 12 = perimeter of ABE.

Answer: y = -(1/2)x - 1

Step-by-step explanation:

y=2x+3

This is written in the format of y = mx + b, where m is the slope and b the y-intercept.  The slope of this reference line is 2.  Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line.  That means out new line will have a slope of -(1/2):

y = -(1/2)x + b

We can find b by entering the x and y for the given point (-4,1) and solve for b:

y = -(1/2)x + b

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

1 = 2 + b

b = -1

y = -(1/2)x - 1

This equation is perpendicular to y=2x+3 and goes through point (-4,1).  See attachment.

Answer:

sorry I didnt get you. whats the mean of ^ symbole.

Answer:

X=[tex]\frac{36}{85}[/tex]

Step-by-step explanation:

-[tex]-\frac{7}{8}=-\frac{1}{6}-\frac{3}{10x}[/tex]

move the contants to the right hand side

[tex]-\frac{3}{10x}=-\frac{1}{6}+\frac{7}{8}[/tex]

Add the to terms on the right

[tex]-\frac{3}{10x}=\frac{17}{24}[/tex]

Cross multiply

72=170x

Swap sides of the equation

170x=72

Divide by 170 to both sides

x=[tex]\frac{36}{85}[/tex]

This is the simplest form.

The solution of the linear equation −7/8 = −1/6 − (3/10)x in the form of a mixed fraction number will be 2 ¹³/₃₆.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The linear equation is given below.

−7/8 = −1/6 − (3/10)x

Simplify the equation, then we have

−7/8 = −1/6 − (3/10)x

(3/10)x = −1/6 + 7/8

(3/10)x = 17/24

x = 85/36

x = 2 ¹³/₃₆

The arrangement of the direct condition −7/8 = −1/6 − (3/10)x as a blended part number will be 2 ¹³/₃₆.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

x= 11 and y = 4

Step-by-step explanation:

(solving by elimination)

Multiply the first equation by 2 and multiply the second one by 1.

2(x+y= 15)

1(-2x+5y=-2)

is now

2x+2y=30

-2x+5y-2

add them together to eliminate x

7y=28

then solve for y

7y=28

[tex]\frac{7y}{7}[/tex]=[tex]\frac{28}{7}[/tex]

y=4

---

Now you have y. put that back into the original equation for X

---

x+y=15

y= 4 so

x+4=15

x= 15-4

x=11

x=11, y=4