Determine the median of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16, 18, 21​

Answer:

Yes, that model is a function.

Step-by-step explanation:

A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

And the model shows that each domain ( x ) only goes to one codomain ( y )  which is what a function is.

Answer:

[tex]x = 4[/tex]

[tex]y =1[/tex]

Step-by-step explanation:

Given

The attached figure

Required

x and y

If the attached is a parallelogram, then:

Either segment of a diagonal are equal; So, we have:

[tex]3x = 12[/tex]

[tex]x + y = 5y[/tex]

In [tex]3x = 12[/tex]

Divide both sides by 3

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

Substitute [tex]x = 4[/tex] in [tex]x + y = 5y[/tex]

[tex]4 + y = 5y[/tex]

Collect like terms

[tex]5y - y =4[/tex]

[tex]4y = 4[/tex]

Divide both sides by 4

[tex]y = \frac{4}{4}[/tex]

[tex]y =1[/tex]

Answer:

42

Step-by-step explanation:

To find the range, first put all the numbers in order. Then subtract the lowest number from the highest.

Hope this helps!If you have any questions revolving around this topic,feel free to ask me and I will be happy to help,Good luck!

Answer:

-375+500d-125c

-125c+500d-375

Answer:

5/108

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5/108

Step-by-step explanation:

2/3 * 1/8 is 2/24

^2/24 can be simplified to 1/12

^ 5/9 * 1/12 is 5/108.

Therefore,

Your answer is 5/108 , if I understood the question correctly.

Answer:

The regular price r of a museum ticket before the discount is $60

Step-by-step explanation:

What is discount?

Discount is a reduction made from the gross amount or value of something.

What is regular price?

Regular price means the price at which similar goods or services are regularly sold on the market.

Given,

[tex]54=0.9r\\r=54/0.9\\r=60[/tex]

The regular price r is $60

To know more about discount , regular price here.

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Answer:

The regular price r of a museum ticket before the discount is $60

Step-by-step explanation:

hope this helps

Answer:

625/100,000,000 or 6.25 out of one million

Step-by-step explanation:

(0.005)^4 = .000000000625  =  625/100,000,000

The probability that all four computers fail on one day is =6.3*[tex]10^{-10}[/tex].

It is a branch of mathematics that deals with the occurrence of a random event.

The probability that a computer fails on any single day is 0.005.

Let X denotes no. of computers fail on day

So, n = 4 , p = 0.05, q= 1-0.05=0.995

P (X = x) = [tex]^{n} C_x \;p^{x} \;q^{n-x}[/tex]

P (X = 4)

= [tex]^{4} C_4 \;(0.005)^{4} \;(0.995)^{4-4}[/tex]

=1* 0.00000000063*1

=0.00000000063

=6.3*[tex]10^{-10}[/tex]

Hence, the probability that all four computers fail on one day is

=6.3*[tex]10^{-10}[/tex].

Learn more about probability here:

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Answer:

x = 13/8

Step-by-step explanation:

(4x−1)(2)=11

Simplify both sides of the equation.

(4x−1)(2)=11

(4x)(2)+(−1)(2)=11 (Distribute)

8x+−2=118x+−2=11

8x−2=11

Add 2 to both sides.

8x−2+2=11+2

8x=13

Divide both sides by 8.

8x/8 = 13/8

which brings you to the answer of

x = 13/8

(Note:If this was a little confusing,feel free to ask me any questions revolving around this topic)

Answer:OC

Step-by-step explanation:

Answer:

300 : 180 = 5 : 3

Answer:

25 Fiction books were sold.

Step-by-step explanation:

The total number of books is 60 books in all.

Answer:

Step-by-step explanation:Total number of books sold altogether in the end is 3040.Step-by-step explanation:A book shop sold fiction books and cartoon books at a ratio of 3:5. ... Then, it sold four times as many fiction books and 40% ... 28 fiction books sold 7 non fiction books are sold D. For every 35 fiction books are sold 11 ...

Answer:

19/24 option d is correct

Answer:

The answer is C. 80%

Step-by-step explanation:

Hope this helped:)

Answer:

Step-by-step explanation:

11! = 11*10*9*8*7*6*5*4*3*2*1 = 3991600

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1=1.307674368 * [tex]10^{12}[/tex]

also looks like this                             1,307,674,368,000

20! = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2 = 2.432902008 * [tex]10^{18}[/tex]

also looks like this                             2,432,902,008,000,000,000

8!(7-3)! = 8!4! = (8*7*6*5*4*3*2)(4*3*2) = 967,680

10!(9-5)!13! = 10!4!13! =3,628,800*24*6,227,020,800 = 5.423187139*[tex]10^{17}[/tex]

Answer:

you eat 1 chip

Step-by-step explanation:

eat 1 chip and you get 31 oz

Answer:

5625 bald eagles

Step-by-step explanation:

Given

[tex]y = 312.5x + 1562.5[/tex]

Required

Predict the numbers in 1998

First, we calculate the value of x

[tex]x = 1998 - 1985[/tex] ---- years since 1985

[tex]x = 13[/tex]

So, we have:

[tex]y = 312.5x + 1562.5[/tex]

[tex]y = 312.5*13 + 1562.5[/tex]

[tex]y = 4062.5 + 1562.5[/tex]

[tex]y = 5625[/tex]

Answer:

Cost of each ticket bought by Peter = $8 for each ticket

Step-by-step explanation:

Given:

Number of ticket bought by Peter = 9 tickets

Amount paid by Peter for tickets = $72

Find:

Cost of each ticket bought by Peter

Computation:

Cost of each ticket bought by Peter = Amount paid by Peter for tickets / Number of ticket bought by Peter

Cost of each ticket bought by Peter = 72 / 9

Cost of each ticket bought by Peter = $8 for each ticket

Answer:

76

Step-by-step explanation:

450/100 = 4.5

342/4.5 = 76

Answer: Betsy is incorrect.

Step-by-step explanation:

The area of a trapezoid is a+b/2 multiplied by h.

First, we should do 5+8/2= 6.5

Next, we multiply 6.5 with 4 because 4 is the height of the trapezoid.

6.5 times 4= 26

Betsy thought the answer was 52, but it is 26 so she is incorrect.\

I hope this helps, may god bless you! :)

Answer:

Step-by-step explanation:

Domain of a function defines the input values (x-values) of the function.

Given linear function is,

y = -2x - 5

Domain of the function is,

{-6, -5, -2, 0, 1}

By substituting the values of x in the equation we can get y-values (output values).

Input-output table for the function,

x            -6            -5            -2             0             1

y             7             5             -1             -5           -7

Now we can plot these points of the graph.        

Answer:

Step-by-step explanation:

Since J is the midpoint of HK,  then HJ=JK   and 3x+5=9x-3  solve for x

6x=8   x=8/6=4/3     so HJ=3x+5=3(4/3)+5=9 = JK   HK=2(9)=18

the full segment HK is 18,  each half of it is 9 =HJ=JK

Answer:

Not a linear relationship

Step-by-step explanation:

Given

The attached table

Required

Linear or not

To do this, we simply calculate the slope of the table at different intervals.

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (0.5,7.2)[/tex]

So, the slope is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{7.2 - 0}{0.5-0}[/tex]

[tex]m = \frac{7.2}{0.5}[/tex]

[tex]m = 14.4[/tex]

Let:

Let:

[tex](x_1,y_1) = (1,10.7)[/tex]

[tex](x_2,y_2) = (2,12.2)[/tex]

So, the slope is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12.2 - 10.7}{2 - 1}[/tex]

[tex]m = \frac{1.5}{1}[/tex]

[tex]m = 1.5\\[/tex]

See that the calculated slopes are not equal.

Hence, it is not linear

Answer:

1/6 x 1/6 = 1/36

1/36 is our probability of getting two heads and four tails.

Answer:

2 1/2 < 28/10

Step-by-step explanation:

28/10 simplifies to 2 8/10 which simplifies to 2 4/5