For the data set below, which of the
following measures is greatest?
(2, 2 , 2 , 4 , 6, 8 , 12 ,20)
A . Mean
B . Median
C . Range
D . Mode

Step-by-step explanation:

The Answer For the solution of

5ive plus 2ow is...........

7even

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Answer:

D: x+31=20

Step-by-step explanation:

x+31=20

  Subtract 31 from each side

x= -11

Given:

The function is:

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

To find:

The inverse of the given function, i.e., [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=\dfrac{2x}{3}-4[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{2y}{3}-4[/tex]

Step 3: Isolate y.

[tex]x+4=\dfrac{2y}{3}[/tex]

[tex]3(x+4)=2y[/tex]

[tex]\dfrac{3x+12}{2}=y[/tex]

[tex]\dfrac{3}{2}x+6=y[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex]

Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex].

Answer:

Option 4: y -x

Step-by-step explanation:

Option 1

Multiplying a positive and a negative number will result in a negative number.

For example, if x= -1 and y=5,

x(y)= -1(5)= -5 (a negative number)

Thus, option 1 is incorrect.

Option 2

In this option, we are essentially multiplying -1 to y, a positive number, before adding the result with x.

Since y is a positive number, -y is a negative number and hence x -y (when x is a negative number) will result in a negative number. Let's plug in values into x and y to check this.

For example, x= -2 and y=3.

x -y= -2 -3= -5

Option 2 is thus incorrect.

Option 3

Dividing a positive number with a negative number will result in a negative number.

For example: 6÷(-2)= -3

Option 3 is also incorrect.

Option 4

Subtracting a negative number from a positive number will result in a positive number.

For example: x= -1, y= 8

y -x= 8 -(-1)= 8 +1= 9

As seen from the example above, when the negative number is multiplied to negative 1, a positive sign results.

In summary, when a positive number is multiplied to a positive number, the resulting number is positive.

When a negative number is multiplied to a negative number, the resulting number is positive.

When a positive number is multiplied to a negative number, the resulting number is negative.

+(+)= +

-(-)= +

+(-)= -

This applies to division too.

Answer:

1 17/28 or 1.6071428571429 round: 1.61 in decimal form.

Answer:

16 cups of sugar

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

So our ratio here is 2:3. Here's what we're gonna do:

2 + 3 = 5 for every time he makes the recipe

40 / 5 = 8

To double check:

2 x 8 = 16

3 x 8 = 24

16 + 24 = 40

Step-by-step explanation:

Total number of people = 48 + 32 + 16

= 96

P(2 or more items) =

[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]

Answer: x=9

Step-by-step explanation:

24/36=6/x

24/36=2/3

2*3=6

3*3=9

Answer:

x= 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

The aware iz 1 in 35 in

The scale of drawing is 1 inch : 27 inch

The scale factor is a measure for similar figures, who look the same but have different scales or measures. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

Given that, the measurement of the tile = 27/4 inches

Side of the drawing = 1/4 inches

The scale of the drawing =

1/4 inch of drawing = 27/4 inch of tile

That means, 1 inch of the drawing = 27 inch of the tile

Therefore,

The scale of the drawing is 1 inch : 27 inch

Hence, option D is correct

Learn more about scale factors, click;

https://brainly.com/question/30215119

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The complete question is ;

The floor tiles in the Jackson family’s kitchen are squares that measure 6

3 /4  inches to a side. Each grid square in  the drawing measures 1 /4  inch to a side. Which is the scale of the drawing?

A. 1 : 8  3 /4

B. 1 : 10

C. 1 /4 : 27

D. 1 : 27 n

Answer:

29.1

Step-by-step explanation:

29.12 1 stands for tenths and the 2 after the dot stands for hundredth. since the number after the 1is not up to 5 the it cannot round of to 1 so the answer is 29.1

Answer:

Step-by-step explanation:

In ΔBCA and ΔDCA,

BC ≅ CD                 Given

∠BCA ≅∠DCA        Given

AC ≅ AC                    Reflexive property

ΔBCA ≅ ΔDCA          S A S congruent

∵ BA ≅ AD                CPCT {Corresponding part of congruent triangle}

Answer:

1. right 2. acute 3 acute 4. obtruseangle 5 right

Answer:

1. right 2. acute 3. acute 4. obtuse 5. right

Step-by-step explanation:

Answer:

Part A: y=2x-1

Part B: -1

Answer:

I'm pretty sure the answer is 14m

Step-by-step explanation:

All you have to do is add the numbers together.

Hope this helps!

Answer:

The answer is 28.5

Step-by-step explanation:

Break apart the shapes then add their areas

Rectangle: 3 * 6 = 18

Top triangle: 6 * 2 = 12 / 2 = 6

Triangle on the right: 3 * 3 = 9 / 2 = 4.5

Total area = 28.5 meters squared.

Answer:

45cm^2 is your answer :)

Step-by-step explanation:

Answer:

A=630 in^2

Step-by-step explanation:

Triangles: there are two equal triangles so we can treat them as one rectangle

A = 15 * 14 = 210

Rectangle:

A=30 * 14 = 420

A_total = 210 + 420 = 630 in^2

Answer:

see explanation

Step-by-step explanation:

Substitute n = 7 into f(n)

f(7) = 5 + 8(7 - 1) = 5 + 8(6) = 5 + 48 = 53

f(n) = 5 + 8(n - 1) represents the nth term of an arithmetic sequence

f(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

By comparison, then

a₁ = 5 and common difference d = 8

Answer:

By applying Pythagoras theorem

Answer is √[109] inch

Answer: 8550

Step-by-step explanation:

9000(1-0.5)

9000(0.95)

8550

Answer:

y=5x or y=5x+0

Step-by-step explanation:

there is a slope of 5 and it has no setoff

Answer:

6u - 10

Step-by-step explanation:

Given

6(u - 2) + 2 ← distribute parenthesis

= 6u - 12 + 2 ← collect like terms

= 6u - 10

Answer:

6n-5=43

   +5 +5

6n=48

/6    /6

n=8

Step-by-step explanation:

i hope this helps :)