Another one! (ikr how am I so rich in points?) Median of: 2, 81, 29, 18, x The average is 26.8. Solve for x!

Answers

Answer 1

Answer:

18

Step-by-step explanation:

The average is  found by adding all the numbers and dividing by 5

(2+ 81+ 29+ 18+ x)/5 = 26.8

Multiply each side by 5

(2+ 81+ 29+ 18+ x) = 134

x+130 =134

Subtract 130 from each side

x = 4

Now we want the median

List the numbers in order from smallest to largest

2,4,18,29 ,81

The median is the middle

Answer 2

Answer:

x = 4, Median = 18

Step-by-step explanation:

Since the Average/Mean is 26.8

So,

Mean = [tex]\frac{Sum Of Observations}{Total No.OfObservations}[/tex]

26.8 = [tex]\frac{2+81+29+18+x}{5}[/tex]

=> 26.8*5 = 130 + x

=> 134 = 130 + x

Subtracting 130 to both sides

=> x = 134-130

=> x = 4

Now, The data becomes:

=> 2,81,29,18,4

In ascending order:

=> 2,4,18,29,81

Finding Median (The middlemost no.)

=> 18


Related Questions

An observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at the point ​(0​,negative 4​). Express the bearing using both methods.

Answers

Answer:

Step-by-step explanation:

I can help

Find the length of AC in a triangle

Answers

Answer:

9.35

Step-by-step explanation:

AAS formula is easier if you add 12+90 then subtract it from 180, thats angle A.

then just write out the formula

sinA/a = sinB/b

PLEASE ANSWER FAST, THANKS! :)

Answers

Answer:

Step-by-step explanation:

k = 3 ; 2k + 2 = 2*3 + 2 = 6 + 2 = 8

k = 4;  2k + 2 = 2*4 + 2 = 8 +2 = 10

k =5; 2k + 2 = 2*5 +2 = 10+2 = 12

k=6;  2k +2 = 2*6 + 2 = 12+2 = 14

k = 7 ; 2k + 2 = 2*7 +2 = 14 +2 = 16

k = 8 ; 2k + 2 = 2*8 + 2 = 16 +2 = 18

∑ (2k + 2) = 8 + 10 + 12 + 14 + 16 + 18 = 78

11) BRAINLIEST & 10+ POINTS!

Answers

Answer:

-125°

235°

Step-by-step explanation:

Coterminal Angles are angles which share the same initial side and terminal sides.

-----

-845°= -2*360° - 125°

-125°

------

-845°= -3*360° + 235°

+235°

Equations and Functions

Answers

Answer:

Subtract the 2w to both sides of the equal sign.

Step-by-step explanation:

Since we want the equation to be in terms of l, we need to isolate the term first. To do so, we will need to subtract 2w on both sides to start out.

HELP!! Find the GCF for the list. -6x^2, 15x^3 Find the GCF for the polynomial 32xy-18x^2

Answers

Answer:

Step-by-step explanation:

GCF: -6x^2 and 15x^3  the GCF is 3x^2

the GCF for this polynomial is 2x(16y-9x)

What measurement is a perfect square

Answers

Answer:

The area of a rectangle with length of 5 and width of 5.

Step-by-step explanation:

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself.

area = lxw

A=5x5 (5 times itself)

A=25

therefore it is a perfect square

b I just did the unit test review this morning

At the end of 2019, Mark owes $250,000 on the mortgage related to the 2016 purchase of his residence. When his daughter went to college in the fall of 2019, he borrowed $20,000 through a home equity loan on his house to help pay for her education. The interest expense on the main mortgage is $15,000, and the interest expense on the home equity loan is $1,500. How much of the interest is deductible as an itemized deduction?

Answers

Answer:

  $15,000

Step-by-step explanation:

The $1500 interest on a home equity loan used for purposes other than home improvement is not deductible with other home loan interest as an itemized deduction.

However, the interest on a loan for qualified educational expenses may be considered an adjustment to income, within limits.

Only the $15,000 main mortgage interest can be an itemized deduction.

When a number is added to of itself, the result is 24. The equation that models this problem
What is the value n?
n = 18
n = 20
n=217 4/5
n=237 4/5

Answers

Answer:

20

Step-by-step explanation:

n=20 it is that answer

Answer:

20

Step-by-step explanation:

20 is equal to n

Which expression represents the phrase 4 times the sum of 9 and 6
A. 4x (9+6)
B.4x 9+6
C.9+ 6x4
D. 9+ (6x4)

Answers

Answer:

The answer is option A

4 x ( 9 + 6)

Hope this helps you

Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 13 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities.
(a) No samples are mutated.
(b) At most one sample is mutated.
(c) More than half the samples are mutated.

Answers

Step-by-step explanation:

this isn't much I think so this isn't plus how come everything in March

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

Answer:

The correct answer is the first one of your list of options:

"Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points."

Step-by-step explanation:

Since the y-intercept is -6, then the point (0, -6) is a point on the line.That is x = 0 and y = -6. From there you move according to the slope value "2 = 2/1" which means two units of rise when the run is one.

Then, from (0, -6) move up 2 units and then right one unit. The new point should also be a point on the line. Join the two points with a line to graph the function.

I NEED HELP PLEASE, THANKS! :)

Answers

Answer:  G ∩ M = {Anael, Max}

G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}

Step-by-step explanation:

intersection ∩ - items found in BOTH sets

union U - the joining of the sets. include EVERYTHING in the sets.

G = (Acel, Acton, Anael, Carl, Dario, Max}

S = {Anael, Barek, Bay, Carlin, Kai, Max}

G ∩ S: Anael and Max are found in both sets

G = (Acel, Acton, Anael, Carl, Dario, Max}

S = {Acton, Anael, Barek,  Carlin, Dario, Kai}

G U S: include everything in G and everything in S. If found in both sets, only list it once.

G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}

    Notice that Acton and Anael are in both sets but we only list them once.

Help?????????????????????

Answers

Answer:

no

Step-by-step explanation:

your answer is correct

we have more than one y for one x.

then it's not a function

A person who yells at an official who made a bad call is just displaying a competitive spirit. Please select the best answer from the choices provided. T F

Answers

Answer:

the answer is false

Step-by-step explanation:

FALSE. A person who yells at an official is not showing a competitive spirit.

What is a Competitive Spirit?

A competitive spirit shows the following attributes:

Communicates respectShows sportsmanshipValues process among others.

A person yelling at an official is not a way of communicating respect. Therefore, it is FALSE to say it is a display of competitive spirit.

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Simplify: 1. (x−1)+(12−7.5x) 2. b−(4−2b)+(3b−1) 3. (2p+1.9)−(7−p)

Answers

Answer:

1. -6.5x+11

2. 6b-5

3. 3p-5.1

Step-by-step explanation:

[tex]1. \\(x-1)+(12-7.5x)=\\x-1+12-7.5x=\\x-7.5x-1+12=\\-6.5x-1+12=\\-6.5x+11\\\\2.\\b-(4-2b)+(3b-1)=\\b-4+2b+3b-1=\\b+2b+3b-4-1=\\3b+3b-4-1=\\6b-4-1=\\6b-5\\\\3.\\(2p+1.9)-(7-p)=\\2p+1.9-7+p=\\2p+p+1.9-7=\\3p+1.9-7=\\3p-5.1[/tex]

Three students are working to find the solution set of this system of equations:
3y = 6x + 6
y = 2x + 2
Use the drop-down menus to complete the statements about each of their methods.


Pedro Dropdown 1: Intersect, Do not Intersect, Are the same line.

Pedro Dropdown 2: One, Zero, Infinitely many

Amy Dropdown: is, is not

Matt Dropdown 1: Sometimes, Never, Always

Matt Dropdown 2: One, Zero, Infinitely Many

Answers

Answer:

Pedro Dropdown 1: they Do not Intersect, they Are the same line

Step-by-step explanation:

3y = 6x + 6

y = 2x + 2

3y-6x = 6... Equation one

y-2x = 2... Equation two

Dividing equation one by 3 gives

Y -2x = 2. Which is same thing with equation 2

So I think the two are same line and do not intersect.

Answer:

Pedro: are the same line, infinitely many

Amy: is

Matt: always, infinitely many

Step-by-step explanation:

PEDRO: Since the lines are on top of one another, there are infinitely many solutions. These lines are called coinciding lines.

AMY: 3y = 6x + 6 is a multiple of y = 2x + 2. When one equation is a multiple of the other, there are infinitely many solutions to the system.

MATT:  When the equation 3y = 6x + 6  is divided by 3, the quotient is equal to the first equation. The equations are equivalent, so they describe the same graphed line.

The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation σ = .000586 mm. Assume a random sample of 59 sheets of metal resulted in an x¯ = .2905 mm. Calculate the 95 percent confidence interval for the true mean metal thickness.

Answers

Answer:

The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{0.000586}{\sqrt{59}} = 0.0002[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 0.2905 - 0.0002 = 0.2903 mm

The upper end of the interval is the sample mean added to M. So it is 0.2905 + 0.0002 = 0.2907 mm

The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm

An object is launched directly in the air speed of 16 feet per second from a platform located 5 feet above the ground. The position of the object can be modeled using the function f(x)=-16t^2+16t+5, where t is the time of seconds and f(t) is the height of the object. What is the maximum height in feet that the object will reach?

Answers

Answer:

The maximum height that the object will reach is of 9 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

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

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

In this question:

[tex]f(t) = -16t^{2} + 16t + 5[/tex]

So

[tex]a = -16, b = 16[/tex]

The instant of the maximum height is:

[tex]t_{v} = -\frac{16}{2*(-16)} = 0.5[/tex]

The maximum height is:

[tex]f(0.5) = -16*(0.5)^2 + 16*0.5 + 5 = 9[/tex]

The maximum height that the object will reach is of 9 feet.

Answer:

24

Step-by-step explanation:

Match each correlation coefficient, r, to its description.
r = −0.08
r = −0.83
r = 0.96
r = 0.06

1.) strong negative correlation
2.) weak positive correlation
3.) weak negative correlation
4.) strong positive correlation

Answers

The answers are in order

r = −0.08 --> weak negative correlation

r = −0.83 --> strong negative correlation

r = 0.96 --> strong positive correlation

r = 0.06 --> weak positive correlation

The match of each correlation is given by,

r = −0.08  implies a weak negative correlation

r = −0.83  implies a strong negative correlation

r = 0.96  implies strong positive correlation

r = 0.06 implies  weak positive correlation.

We have given that,

The correlation coefficient, r, to its description.

A                                                 B

r = −0.08                             strong negative correlation

r = −0.83                               weak positive correlation                

r = 0.96                               weak negative correlation                    

r = 0.06                                strong positive correlation

We have to match the given relation

What is the positive and negative correlation?

If the correlation coefficient is greater than zero, it is a positive relationship. Conversely, if the value is less than zero, it is a negative relationship.

So the correct match is,

r = −0.08  implies a weak negative correlation

r = −0.83  implies strong negative correlation

r = 0.96  implies strong positive correlation.

r = 0.06 is implies  weak positive correlation.

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what is the gfc of 16 and 8​

Answers

Answer:

Greatest common factor of 16 and 8 is 8 .....

Perform the indicated operation.

Answers

Answer:

√75 = 5√3 and √12 = 2√3 so √75 + √12 = 5√3 + 2√3 = 7√3.

Answer:

[tex] 7\sqrt{3} [/tex]

Step-by-step explanation:

[tex] \sqrt{12} \: can \: be \: simplified \: as \: 2 \sqrt{3} \: and \: \sqrt{75} \: canbe \: simplified \: as \: 5 \sqrt{3} \\ after \: simplifying \: we \: can \: add \: them \: up \\ 2 \sqrt{3} + 5 \sqrt{3} = 7 \sqrt{3} [/tex]

A company determined that the marginal​ cost, Upper C prime (x )of producing the xth unit of a product is given by Upper C prime (x )equalsx Superscript 4minus2x. Find the total cost function​ C, assuming that​ C(x) is in dollars and that fixed costs are ​$6000.

Answers

Answer:

C(x) = 0.2x^5 - x^2 + 6000

Step-by-step explanation:

Given in the question are restated as follows:

Marginal cos = C'(x) = x^4 - 2x ...................... (1)

Note that marginal cost (C'(x)) refers to the change in the total cost (C(x)) as a result of one more unit increase in the quantity produced. That is, MC refers to the additional cost incurred in order to produce one more unit of a good.

Therefore, TC can be obtained by integrating equation (1) as follows:

C(x) = ∫C'(x) = ∫[x^4 - 2x]dx

C(x) = 1/5x^5 - 2/2x^2 + F ................................ (2)

Where F is the fixed cost. Since the fixed cost is given as $6,000 in the question, we substitute it for F into equation (2) and solve as follows:

C(x) = 0.2x^5 - x^2 + 6000 ......................... (3)

Equation (3) is the total cost function​ C.

a quadrilateral must be a parallelogram if one pair of opposite sides is:

Answers

Answer:

A

Step-by-step explanation:

If one pair of opposite sides in a quadrilateral is congruent and parallel, then the quadrilateral must be a parallelogram.

Option C is the correct answer.

We have,

In a quadrilateral, if one pair of opposite sides are parallel and equal in length, then the quadrilateral must be a parallelogram.

This is one of the properties of parallelograms.

This also means,

One pair of opposite sides is congruent and parallel.

Thus,

If one pair of opposite sides in a quadrilateral is congruent and parallel, then the quadrilateral must be a parallelogram.

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HELP! WILL GIVE BRAINLIEST!

Answers

Answer:

(2x+16) + (x) = 180

Step-by-step explanation:

The opposite angles of a quadrilateral inscribed inside a circle will be supplementary angles, meaning that A+C=180, and B+D=180. A+C is not given in the answers below, but B+D is, so that is the correct answer.

Hope this helps! Please give brainliest!!

Answer:

C

Step-by-step explanation:

Opposite angles of a quadrilateral are supplementary

The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method. y = −x2 + 23x − 132, y = 0; about the y−axis

Answers

Answer:

V  = 23π/6

Step-by-step explanation:

V = 2π ∫ [a to b] (r * h) dx

y = −x² + 23x − 132

y = −(x² − 23x + 132)

y = −(x − 11) (x − 12)

Parabola intersects x-axis (line y = 0) at x = 11 and x = 12 ----> a = 11, b = 12

r = x

h = −x² + 23x − 132

V = 2π ∫ [11 to 12] x (−x² + 23x − 132) dx

V  = 23π/6

What is equation created from the sqrt(x+2)+2))^2

Answers

Answer:

x + 4√(x + 2) + 6

Step-by-step explanation:

All we need to do is expand by using FOIL (First, Outside, Inside, Last):

x + 2 + 2√(x + 2) + 2√(x + 2) + 4

Then we combine like terms to get our final answer:

x + 2 + 4√(x + 2) + 4

x + 4√(x + 2) + 6

What the answer fast

Answers

Answer:

∠CDE

Step-by-step explanation:

Name it by the order of the letters with the point of the angle in the middle

What is the length of MO, given that figure LMNO is a square?

Answers

Answer:

8

Step-by-step explanation:

putting it simple without any terms, half of the line LN is 4, all the other lines inside the rectangle are equal, so just double the length for the length of MO for the answer, 8

The length of the diagonal MO in the provided figure of square LNMO is 8 units long. Option C is correct.

What is the diagonal of a square?

The diagonal of the square is the distance from opposite vertices of it. The length of both the diagonals of the square is equal in length and bisect each other at the intersection point.

In the given image, the length figure LMNO represent a square, The length of the LM is,

[tex]LG=4\rm \; units[/tex]

In the image, point G is the intersection point of the diagonal of the square.

As the diagonals of the square bisect each other at the intersection point. The length of LN is,

[tex]LN=2\times LG\\LN=2\times4\\LN=8[/tex]

The length of both the diagonals of the square is equal in length. Thus,

[tex]MO=LN\\MO=8[/tex]

Hence, the length of the diagonal MO in the provided figure of square LNMO is 8 units long. Option C is correct.

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Unknown angle problems

Answers

Answer: x =40

Step-by-step explanation:

x +x +100 = 180   They form a straight line so they add to 180 degrees.

2x + 100 = 180      solve for x  by combining like terms

       -100    -100   subtract  100 from both sides

2x = 80             Divide both sides by 2

x =40

Answer:

x might be 40°.

Step-by-step explanation:

angle on a straight line =180°

x+100+x =180

2x =180-100

2x=80

2x/2=80/2

x=40°

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