What is the median of the data?
20, 19, 13, 23, 16, 15, 17, 17, 15, 15, 22, 19
18
15
O 17
016

Answers

Answer 1

median = the middle number {always remember this}.

To find the median of a set of numbers we arrange that set of numbers either in ascending order (smallest to biggest value) or in descending order ( biggest to smallest value).

so we are given :

20, 19, 13 , 23, 16, 15 , 17, 17, 15 , 15, 22, 19, .

we rearrange in ascending order (I chose ascending order).

Soo...

13, 15, 15, 15, 16, 17, 17 , 19, 19, 20, 22, 23.

so we cancel out (we cancel out left number, right number)

I mean

cancel out 13, cancel out 23

cancel out 15, cancel out 22

cancel out 15, cancel out 20 and so on.....

after that we will be left with 2 numbers which are 17 and 17.

NOTE: ( if we get 2 numbers instead of 1, then we add those 2 numbers and divide by 2)

so...

17 + 17 = 34

34/2 = 17.

the median of the set of numbers is equal to 17.

Hope this helps.

Good luck ✅.


Related Questions

Which of the following is a rational function?
O A. F(x) =
x² +5x-6
3x
OB. F(x)=x-x+8
O C. F(x)=√2x-1+9
OD. F(x) = -7x+15

Answers

Answer:c

Step-by-step explanation:

The function x² +5x-6/3x is a rational function, option A is correct.

What is a function?

A relation is a function if it has only One y-value for each x-value.

x² +5x-6/3x is a rational function, as it can be written in the form:

F(x) = (x² + 5x - 6) / (3x)

where the numerator and denominator are polynomials.

F(x)=x-x+8 is not a rational function, as it simplifies to F(x) = 8, which is a constant and not a fraction.

F(x)=√2x-1+9 is not a rational function, as it contains a square root and cannot be expressed as a ratio of two polynomials.

F(x) = -7x+15 is not a rational function, as it is a polynomial and not a fraction.

Therefore, the function x² +5x-6/3x is a rational function, option A is correct.

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3^2+ square root of 36-2x10

Answers

Answer:

-5

Step-by-step explanation:

9+6-2*10

15-20

= -5

Joe's Fabric Store purchased 6 bolts of fabric at $150.00 per bolt. Each bolt contained 50 m of fabric. If the fabric was retailed at $8.00 per metre, calculate the profit or loss.​

Answers

answer: $1500 profit


reasoning:

the store purchased 300 m of fabric at $900 (6 x 50 = 300; 6 x 150 = 900).

the retail price for all that fabric would be $2400 ($8 x 300 m = $2400).

$2400 - $900 = $1500

Given f(x) and g(x) = k•f(x), use the graph to determine the value of k.

Answers

Step-by-step explanation:

the slope of f(x) = 1

for every increase of x by 1 also y increases by 1.

the slow of g(x) = -2

for every increase of x by one y decreases by 2.

so, we see, as

g(x) = k × f(x)

k = g(x) / f(x) = slope g / slope f = -2/1 = -2

why ? because both functions are linear functions (lines).

they look like

y = ax + b

with a being the slope of the line.

so, when multiplied by k, this is kax + kb, and we see k as factor already in the slope of the line itself.

In a company's first year in operation, it made an annual profit of $247,500. The
profit of the company increased at a constant 16% per year each year. How much
total profit would the company make over the course of its first 10 years of operation,
to the nearest whole number?

Answers

To calculate this sort of problem:

 ⇒ involves calculating the total profits over each year

 ⇒ with a constant increase periodically

    ⇒ need to use the Compound Interest Equation

           [tex]A = P(1+\frac{r}{n})^{nt}[/tex]

A: total amount after t yearsP: initial amount in accountr: rate per periodn: number of times the profit increases per yeart: number of years

Let's fill in some variables:

P: $247500r: 16% increase (in equation form, we plugin 0.16)n: 1 time per yeart: 10 years

What do we want to know:

A: total amount after 10 years

Let's solve:

    [tex]A= 247500*(1+\frac{0.16}{1} )^{1*10}=\\A=247500*(1+0.16)^{10}\\A=247500*(1.16)^{10} \\A= 1,091,830.18[/tex]

To the nearest whole number

Answer: $1,091,830

Hope that helps!

Can someone help me with this question?

Answers

Answer:

5 possible outcomes

1. All 4 are heads,

2. All 4 are tails,

3. 3 are heads and 1 tails,

4. 2 are heads and 2 are tails,

5. 1 is tails and three are heads.

Step-by-step explanation:

On one side of a coin it’s heads, and on the other it’s tails.


there are 4 coins

(Coin side, coin side, coin side, coin side)

Possibilities;


(Heads, heads, heads, heads)

all four coins are heads

(Heads, tails, heads, heads)
three coins are heads and one tails

(Heads, tails, tails, heads)
two coins are heads, two coins are tails

(Heads, tails, tails, tails)

one coin is heads, the other three are tails

(Tails, tails, tails, tails)

all four coins are tails.

5 possible outcomes

A cube with a side length of 6 feet is sliced diagonally such that it passes through the three vertices shown in the figure. which describes the cross section? a cube. a cross section is a triangle that touches 3 corners of the cube. a triangle with 3 equal sides measuring 6 feet a triangle with 3 equal sides measuring greater than 6 feet a triangle with only 2 equal sides measuring 6 feet a triangle with only 2 equal sides measuring greater than 6 feet

Answers

Answer:

Its C.

Step-by-step explanation:

Answer:

"C"

Step-by-step explanation:

It's "C" on the other brainly as well -_-

I was confused on how to write the quadratic in standard form

Answers

Answer:

3x² + 4x + 8 = 0

Step-by-step explanation:

Standard form of quadratic equation is

ax²+bx+c=0

standard form of quadratic equation 3x²+4x+7=-1 is

3x² + 4x + 7 = -1

3x² + 4x + 7 + 1 = 0

3x² + 4x + 8 = 0

-please help im so dum dum and id like therapy < <<<<<<<<33333333 TYY
-20 -8 + (-12)

Answers

Answer:

Step-by-step explanation:

-40

−20−8-12

−28−12

-40

what is the area of a triangular prism?

Answers

Answer:

14! i think :D

Step-by-step explanation:

im probly worngg TvT

I HAVE A CYLINDER AND cone WITH THE
Same Dimensions (RADIUS AND HEIGHT OF
BOTH ARE THE SAme). The volume OF THE
cone is 33 CUBIC INCHES. WHAT IS THE
Volume OF THE CYLINDER IN CUBIC
inches?
125 Sunny

Answers

Answer:

99 in³

Step-by-step explanation:

Let the radius and height of each be r and h in. respectively.

Write an equation for the volume of cone.

Volume of cone= ⅓πr²h

⅓πr²h= 33

Multiply both sides by 3:

πr²h= 99

Volume of cylinder= πr²h

We have found the value of πr²h previously, which is 99.

Thus, the volume of the cylinder is 99 in³.

A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature. Based on
the collected data, the least-squares regression line is ý = 15.66 +3.58x, where x is the number of degrees by which temperature
exceeds 60 degrees Fahrenheit. Which of the following statements best describes the meaning of the slope of the least-squares
regression line? (3 points)
For each increase of one degree Fahrenheit per day, there is an estimated increase of 15.66 hatched eggs.
O For each increase of one hatched egg, the estimated temperature per day increases by 15.66 degrees Fahrenheit.
O For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs.
For each increase of one hatched egg, the estimated temperature per day increases by 3.58 degrees Fahrenheit.
The slope has no meaning because the units of measure for x and y are not the same.

Answers

There is an estimated rise of 3.58 hatched eggs for every one degree Fahrenheit increment every day. Then the correct option is B.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature.

Based on the collected data, the least-squares regression line is y = 15.66 +3.58x, where x is the number of degrees by which temperature exceeds 60 degrees Fahrenheit.

For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs.

Thus, the correct option is B.

More about the linear system link is given below.

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Answer: For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs

Step-by-step explanation:

took the test :)

A container is shaped like a triangular prism. The height of the container is 15 centimeters, and the volume of the container is 180 cubic centimeters. What is the area of the base of the container in square centimeters?

a. 10 cm2

b. 12 cm2

c. 18 cm2

d. 20 cm2

Answers

B : 180 divided by 15=12 cm^2

Equation of a line that goes through the following points: (4,1) and (7,10)

Answers

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{10}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{9}{3}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{3}(x-\stackrel{x_1}{4}) \\\\\\ y-1=3x-12\implies y=3x-11[/tex]

PLEASE HELP. I need this done by the end of today. plpease help im beggin

Answers

Answer:

I only did 1-16 but here:

11. x² + y² = 4

12. (x+3)² + (y-3)² = 1

13. x² + (y-3)² = 16

14. (x-7)² + (y+2)² = 4

15. x² + (y+20)² = 100

16. (x+4)² + (y+6)² = 16

Find the center and radius of the circle represented by the equation below.
x² + y²- 6x - 12y +29=0

Answers

Answer:

radius 4

center (3,6)

Step-by-step explanation:

(x - h)^2 + (y - k)^2 = r^2

coordinates of the center (h, k) and the radius is (r)

x² + y²- 6x - 12y +29=0

x² - 6x + y²- 12y +29=0

(x² - 6x) + (y²- 12y) +29=0

complete the square

(x² - 6x) + 9 + (y²- 12y) +36 +29=  + 9  +36

(x² - 6x + 9) + (y²- 12y + 36) = + 9  +36 -29

(x-3)^2 + (y-6)^2 = 16

(x - h)^2 + (y - k)^2 = r^2

coordinates of the center (h, k) and the radius is (r)

center (3,6)

radius 4

cuemathcom

varsitytutors

Answer: Center: (3,2)                Radius: 5

Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12

Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.

#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4

(x - 3)^2 + (y -2)^2 = 25

Circle centered at (3,2) with radius = 5

help with practice problem

Answers

Answer:

i think the answer is r=0.5 or r=−3/2−x^2

Step-by-step explanation:

-4r^2-4r=6

step 1. -4r(-4r)= 16r

16r-4r=6

step 2. 16r-4r=12r

12r=6      

step 3. /12 on both sides

r= 0.5

I need help on this question

Answers

the opposites would equal each other.


The last 2 answers are the correct ones.

pls help asap The scatter diagram shows the grades and number of missing assignments for students in a grade 8 math class

Answers

Don’t use this

Answer A

BRAINLIEST For the fastest answer
Hello I need help on this math question​

Answers

Answer:

B

Step-by-step explanation:

B: $303.75

I hope this helps you and I hope you do well.

Book-club members are required to buy a minimum number of books each year. Leslee bought 3 times the minimum. Denise bought 7 more than the minimum. Together, they bought 23 books. What is the minimum number of books?​

Answers

Answer: 4 books

Step-by-step explanation:

x = minimum number of book

Leslee

= 3x (bought 3 times the minimum)

Denise

= x + 7 (bought 7 more than the minimum)

Together

= (3x) + (x + 7)

(3x) + (x + 7) = 23 (books they bought together)

3x + x + 7 = 23

3x + x = 23 - 7 (isolate the like variables together)

4x = 16 (divide both sides by 4)

x = 4

4 is the minimum number of books

To check:

3(4) + (4+7)

12 + 11 = 23

HELP PLEASE ILL GIVE BRAINLEST

Answers

Answer:

y= 40 degree

Step-by-step explanation:

ACD+CDA+DAC= 180 degree

y+ 90+30+20= 180 degree

y+140 = 180

y= 180- 140 degree

y= 40 degree

Hope it helps you :)))))

have a good day

what is the probability tho computer will select a point in the shaded region?

Answers

You need to attach the picture of the graph in order to get a real answer.

Please help me with my math please?

Answers

Answer:

y = y coordinate

m = slope

x = x coordinate

b = y intercept

Line passes through (2, -1) and slope of 1/3

Step 1

y = mx + b,  Identify:  x = 2, y = -1, slope: [tex]\sf \frac{1}{3}[/tex]

insert following values

[tex]\rightarrow \sf -1 = \dfrac{1}{3} (2) + b[/tex]

multiply

[tex]\rightarrow \sf -1 = \dfrac{2}{3} + b[/tex]

switch sides

[tex]\rightarrow \sf b = -1 - \dfrac{2}{3}[/tex]

subtract

[tex]\sf \rightarrow b = -\dfrac{5}{3}[/tex]

convert to mixed fraction

[tex]\sf \rightarrow b = -1\dfrac{2}{3}[/tex]

Step 2

y = mx + b,  m = [tex]\sf \frac{1}{3}[/tex], b = [tex]-1\frac{2}{3}[/tex]

insert following values

[tex]\rightarrow \sf y = \dfrac{1}{3} x -1\dfrac{2}{3}[/tex]

The table shows the annual sales revenues of different types of vehicles made by four automobile manufacturers.

The number in the highlighted cell is ______ (options are: a. the number of convertibles sold by Pluto Cars b. the revenue from sales of convertibles by Pluto Cars c. the revenue from sales of sedans by Pluto Cars d. the total sales revenue of Pluto Cars). The relative frequency of this vehicle category compared with the total sales revenue of Pluto Cars is _______ (options are: a. 0.107 b. 0.225 c. 0.29 d. 0.33)​

Answers

Using the relative frequency concept, it is found that:

The number in the highlighted cell is: b. the revenue from sales of convertibles by Pluto CarsThe relative frequency of this vehicle category compared with the total sales revenue of Pluto Cars is: b. 0.225.

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

The number in the cell has bounds conversible and Pluto Cars, and the table represents the amount earned, that is, revenue, hence option b is correct.

The total revenue of Pluto Cars is of $80 million, with convertibles corresponding to $18 million, hence the relative frequency is given by:

r = 18/80 = 0.225.

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Please Help I Don't Understand!

Answers

Answer:

the aa similarity postulate

Step-by-step explanation:

no sides are given and we can not simply assume the sides are congruent, however we do know two of the angles on both triangles are the same allowing us to know that the third therefore must also be the same.

both traingles share angle MAN

and AMN and ABC are equal so therefore

angle ANM and ACB must also be the same

What is the probability that the manufacturing unit has carbon emission beyond the permissible emission level and the test predicts this? a. 0.2975 b. 0.0525 c. 0.0975 d. 0.5525 e. 0.6325

Answers

The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:

a. 0.2975.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

In this problem, we have that the events are as follows:

Event A: Carbon emission beyond the permissible emission level.Event B: Test predicts this.

We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:

[tex]P(A) = 0.35, P(B|A) = 0.85[/tex]

Then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]0.85 = \frac{P(A \cap B)}{0.35}[/tex]

[tex]P(A \cap B) = 0.85(0.35) = 0.2975[/tex]

Which means that option a is correct.

More can be learned about conditional probability at https://brainly.com/question/14398287

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Nandlal bought 20 dozen notebooks at Rs.156 per dozen.He sold 8 dozens of them at 10% gain and the remaining 12 dozens at 20% gain.What is his gain percent on the whole transaction?

Answers

Answer:

[tex]8(156 \times 1.1) + 12(156 \times 1.2) [/tex]

What is the solution to this system of equations? 2x + 2y = 8 and 4x + 3y = 16

Answers

Answer:

y=0, x=4

Step-by-step explanation:

2x+2y=8 --- (1)

4x+3y=16 --- (2)

Multiply the coefficient of x in equation (1) across the variables in equation (2), and multiply the coefficients of x in equation (2) across the variables in equation (1).

8x+8y=32 ---- (3)

8x+6y=32 ---- (4)

Subtract equation (3) from (4)

2y=0, y=0/2, y=0.

Substitute the solution for y=0 into equation (1)

2x+2(0)=8

2x=8

x=4

2. A sphere has a great circle whose circumference is 95 centimeters. Which of the following is closest to the
volume of the sphere, in cubic centimeters?
1) 4,600
(3) 12,700
2) 7,500
(4) 14,500

Answers

Answer:

Approximately [tex]14,\!500\; {\rm cm^{3}}[/tex].

Step-by-step explanation:

The radius of a sphere is the same as the radius of the great circle of that sphere.

Thus, in this question, it would be possible to find the radius of the sphere by finding the radius of the great circle.

The circumference of a circle of radius [tex]r[/tex] is [tex]2\, \pi \, r[/tex]. In this question, it is given that the circumference of this great circle is [tex]95\; {\rm cm}[/tex]. Thus, the radius of this great circle would be:

[tex]\begin{aligned}r &= \frac{95\; {\rm cm}}{2\, \pi} \approx 15.1197\; {\rm cm}\end{aligned}[/tex].

Thus, radius of the sphere in this question would also be approximately [tex]15.1197\; {\rm cm}[/tex].

The volume of a sphere of radius [tex]r[/tex] is [tex](4/3)\, \pi\, r^{3}[/tex]. Thus, the volume of this sphere of radius [tex]r = 15.1197\; {\rm cm}[/tex] would be approximately:

[tex]\begin{aligned}\frac{4}{3} \, \pi\times (15.1197\; {\rm cm})^{3} \approx 14,\!500 \; {\rm cm^{3}}\end{aligned}[/tex]

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