Here is the histogram of a data distribution. All class widths are 1.

Which of the following numbers is closest to the mean of this distribution?

A. 7
B. 5
C. 9
D. 4
E. 3

If 3 ft = 1yard

?        = 16 yards?

Thats [tex]\frac{16 yards * 3ft}{1yard}[/tex]

The common values cancel each other out and you'll have 48 feet :)

Step-by-step explanation:

hope you can understand

Answer:

4.96 dollars

Step-by-step explanation:

20-5.12=14.88

14.88/3= 4.96 dollars

so each pair of socks costs 4.96$

Answer:

81 x 10^6

Step-by-step explanation:

x0000000

11111111x

22222222

33333333

....................

88888888

99999999

---------------------

The first digit and 8th digit column has only 9 numbers and the rest 6 column have 10 possible numbers

9 x 9 x 10^6 = 81 x 10^6

The similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

It is defined as a three-dimensional space enclosed by an object or thing.

As we know,

Volume = base area×height

38.4 = base area×4

base area = 38.4/4 = 9.6 square cm

A mathematically similar paperweight has a height of 7 cm.

Volume = base area×height

Volume = 9.6×7 = 67.2 cubic cm

Thus, the similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

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Answer:

d. 93 [tex]m^{2}[/tex]

Step-by-step explanation:

4×3= 12, 12/2 =6, 6×4 = 24

5×3= 15, 15×4= 60

3×3=9,

24+60+9= 93

Answer: 2:3

Step-by-step explanation:

First list out the factors for 32 and 48

32- 1, 2, 4, 8, 16, 32

48- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The greatest factor they have in common is 16. So, divide both numbers by 16 to get the simplest form of the ratio.

32/16=2

48/16=3

The simplest form is 2:3

Answer:

Given - angle X = angle A

angle Z = angle C

To find - criteria of congruence

Solution -

In triangle BAC and triangle YXZ

angle X = angle A

angle Z = angle C

we need one pair of side to be comgruent to show the following traingles congruent

if AC is congruent to XZ

then by angle side angle criteria of triangle both the triangles are congruent..

Answer:

B

Step-by-step explanation:

-243

Step-by-step explanation:

số dương nhân -3 thì đc số âm, số âm nhân với -3 để đc số dương.

vd: 1. -3 = -3 ;   -3 .-3= 9 ;..... 81 . -3= -243

Answer:

all once will product the term by mines 3

so the final will bt -3 *81 = -243

Answer:

yes,you can buy the textbook

Step-by-step explanation:

determine discount

60 × 0.2(decimal form of 20%)

=12

apply discount

60-12

=48

50>48✓

Answer:

-¾

Step-by-step explanation:

gradient = delta y over delta x

gradient = 0 - 3 / 5 - 1

gradient = -3 / 4

Answer:

[tex]\fbox {1) A}\\\fbox {2) A}[/tex]

Step-by-step explanation:

Q1

⇒ Graph A is most accurate as the situation is linear and the dots indicate per cup as you can't have any rational part (such as 0.5 cups, etc.)

Q2

⇒ A

⇒ The graph is discrete because the sellers have limited the purchaser to buy a distinct whole number of cups

Answer: -4

Step-by-step explanation: Notice that the increments in the graph do not go in 1's, but in 2's. Meaning the first line is 2, and second line is 4, and in the middle is 3. Be careful.

The range is where the line on the graph hits the y-axis (horizontal line, or line going up). The only possible place the line hits the y-axis is at -4. No other y-value. Thus, the range of the function is -4.

The value of x in the second matrix is -1

The operation is given as:

[tex]\left[\begin{array}{ccc}2&-1&1\\1&1&1\\4&-2&2\end{array}\right] \left[\begin{array}{c}4&11&5\end{array}\right] \to \left[\begin{array}{ccc}0&-3&x\\1&1&1\\4&-2&2\end{array}\right] \left[\begin{array}{c}-18&11&5\end{array}\right][/tex]

Let the rows be represented by R1, R2 and R3.

By observation, the row operation performed is:

[tex]R1 \to R1 - 2R2[/tex]

This means that:

The new elements of row 1 are gotten by subtracting twice the elements of row 2 from row 1.

Using the above operation, we have:

x = 1 - 2 * 1

Evaluate the difference

x = -1

Hence, the value of x is -1

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Answer:

Step-by-step explanation:

Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x).  That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).

See the attached image.  The table shows how the values of y change for each value of x used in the respective function.  Plot those new values to produce the graph.

I believe the answer is -2, 7

Answer:

- 439

Step-by-step explanation:

evaluate f(- 7) and substitute the value obtained into s(x)

f(- 7) = 3(- 7) = - 21 , then

s(- 21) = 2 - (- 21)² = 2 - 441 = - 439

Answer:

A. (s*t)(-7)=-439

Step-by-step explanation:

(s*t)(-7) is the same as s(t(-7)). First find t(-7)

t(-7)=3(-7)=-21

t(-7)=-21

Plug -21 into s(t(-7)) for t(-7).

Find s(-21).

s(-21)=2-(-21)^2=-441+2=-439

Hope this helps!

If not, I am sorry.

Answer:

The equation of the line is y ≥ 1/3(x)-1

Step-by-step explanation:

Given

The line intersects y-axis at (0,-1). Therefore, the y-intercept is -1

The line passes through the points (0,-1)  and (3,0)

The slope can be obtained as follows,

m = 0-(-1)

        3-0

    = 1/3

The linear equation with slope and intercept  is given as follows.

y = mx + c

Substitute 1/3 for m, 3 for x and 0 for y  in equation  to obtain the value of

c .

0 = 1/3 *3 + c

c= -1

To check whether the equation includes origin substitute 0 for x and 0 for y in equation

Therefore, y≥ mx+c

                      = 1/3*x-1

Hence, Linear inequality represented is y ≥ 1/3(x) -1

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Answer:

5.5x + 9

Step-by-step explanation:

0.3x plus 24, 5x, and 0.2x minus 15

Expression:

This means that,

0.3x + 24 + 5x + 0.2x - 15

We know the perimeter of the triangle is,

Where a , b , c refers to the sides of that triangle.

So Just add them up:

Hence,last choice is accurate.

The selling price of the article including VAT will be 1000.

The cost at which an article is sold is known as the selling price.

Let the market price will be x

Given data;

Discount=20 %

The amount of the discount is;

[tex]\rm Discount = x- x \times \frac{20}{100} =\frac{80x}{100}[/tex]

Applied tax is;

[tex]\rm \frac{80x}{100} +\frac{80x}{100} \times \frac{15}{100} =904 \\\\ \frac{8000x+1040 x}{10000} =904 \\\\ 9040 x = 904 \times 10000 \\\\\ x=\frac{904 \times 10000}{9040} \\\\ x=1000[/tex]

Hence, the selling price of the article including VAT will be 1000.

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Answer:

11

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= x² - 6x - 4 +5x + 3 ← collect like terms

= x² - x - 1

then

(f + g)(- 3) = (- 3)² - (- 3) - 1 = 9 + 3 - 1 = 11

Answer:

11

Step-by-step explanation:

F(–3)=(–3)²–6(–3)–4===> 9+18–4=23

g(–3)=5(–3)+3=‐15+3=–12

23–12=11

The income elasticity for the household is -1.05.

Income elasticity measures how quantity demanded changes when there is a change in the income of a person / household

Income elasticity = percentage change in quantity demanded / percentage change in income

Income elasticity = -21% / 20 = -1.05

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Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

[tex](y - k) {}^{2} = 4p(x - h)[/tex]

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

[tex] \frac{ - 6 + 6)}{2} = 0[/tex]

[tex] \frac{0 + 0}{2} = 0[/tex]

So our vertex is (0,0).

So our equation become

[tex] {y}^{2} = 4px[/tex]

The distance from the focus and directrix is 6.

So p=6.

[tex] {y}^{2} = 24x[/tex]

So p is 6.

Since p is 6,

[tex] \frac{ {y}^{2} }{24} = x[/tex]

The two options are R₀ 270 , R₀ 90 , Option C and D .

The complete question is attached in the image.

There are two types of transformations namely , Rigid Transformation and Non- Rigid Transformation

The rigid transformations do not change the shape and size of the preimage .

The non Rigid transformation do not change the shape but change the size of the preimage.

The rule rotating the origin , 270 degree is

(x,y) ----> (y , -x)

as (x,y) is (0,5)

Therefore after 270 degree transformation

(y,-x) is (5 , 0)

So, the clockwise rotation is 90 degree about origin

(x,y) ----> (y , -x)

as (x,y) is (0,5)

Therefore after 90 degree transformation

(y,-x) is (5 , 0)

Therefore the two options are R₀ 270 , R₀ 90 , Option C and D .

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Answer:

Step-by-step explanation:

The height of each story in a hotel is  feet. The height is measured from the ceiling to the floor. The hotel has 2 underground levels that are used as banquet halls. Stephen is a waiter who works two levels below ground. At what elevation are Stephen’s feet? Assume the ground level of the hotel is at 0 feet.

A.

feet

B.

feet

C.

D.

feet

The value of a is 14.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

Given:

tan3a=cot2a​

tan 3a=  tan (90- 2a)

On comparing

3a= 90- 2a

5a= 90

a= 14

Hence, the value of a is 14.

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Answer:

y^3

Step-by-step explanation:

x^3 y^3     and    y^4  

y^3 * x^3     and y^3  * y

The expression for YYY is (d) (x >= 50) && (x <= 100)

The instruction is given as:

If (YYY) {

// Output "50, 51, ..., 99, 100"

}

The value of x is given as:

x = 50 to 100 (inclusive)

This means that:

x must be greater than or equal to 50 AND x cannot exceed 100

The keyword AND is represented as &&.

So, the condition is:

x >= 50 && x <= 100

Hence, the expression for YYY is (d) (x >= 50) && (x <= 100)

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Answer:

I don't see the equation options.  See below for a predicted equation.

y= (2/3)x + 4

Step-by-step explanation:

The points are (-3,2), (0,4), and (3,6).  I will assume they lie in a straight line.

Find an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

m, the slope, is also known as the "Rise/Run."

Pick any two points.  I'll use (0,4) and 3,6)

Rise = (6-4) = 2

Run  = (3-0) = 3

Slope = 2/3

The equation becomes y = (2/3)x + b

B is easy in this case.  Point (0,4) tells us that y = 4 when x = 0 (the definition of b).

The equation is y= (2/3)x + 4

See the attached graph.