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The mathematical statement is as follows:

(a) B ⊄ A

(b) C ⊂ A

(c) B ⊄ C

(d) ∅ ⊂ B

(e) C ⊂ C

(f) C ⊂ B

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is a mathematical model for a collection of various things.

The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) and C = {2, 4}.

The mathematical statement is as follows:

(a) B ⊄ A

(b) C ⊂ A

(c) B ⊄ C

(d) ∅ ⊂ B

(e) C ⊂ C

(f) C ⊂ B

belongs to ⊂ sign is used if an element belongs to the given set and vice versa.

The complete question is:

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

(a) B __ A

(b) C __ A

(c) B __ C

(d) ∅ __ B

(e) C __ C

(f) C __ B

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The values of the function given by the graph are:

f(-2 ) = 2

f(0) = 3

f(4) = -1

Furthermore, the function terminates at x=0.

(Because there is a gap in the graph and the function's left and right-hand limits are not equal at x=0)

So from the graph, we can determine the values of the functions as,

f(-2 ) =2

f(0) = 3

f(4) = -1

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Answer:

f(–2 ) = 2

f(0) = 3

f(4) = -1

Step-by-step explanation: i hope this helps :)

We are asked to find the range of the following data

{5, 12, 15, 11, 15, 7, 15, 10, 13}

First, we need to sort the data in ascending order (least to greatest)

{5, 7, 10, 11, 12, 13, 15, 15, 15}

The range is given by

The maximum value in the data set is 15

The minimum value in the data set is 5

So, the range is

Therefore, the range of the given data set is 10

Answer:

√30/4

I Hope that This Helped!

Answer:

Number 2 is the answer to this question.  

The inequality to represent the given scenario is d>20. Therefore, option B is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, there were more than 20 dogs running around the park when they arrived.

Let the number of dogs be d.

So, the inequality is d>20

Therefore, option B is the correct answer.

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Answer:

(9 x 27) x 5

Step-by-step explanation:

First we have to figure out the powers. 3 To the power of 2 is 9 and 3 to the power of 3 is 27 so we first multiply that and later multiply 5

The most appropriate choice for population and sample will be given by-

Second option is correct

44% is the percentage of non response

What is population and sample?

Population is the entire set of items from where the data is drawn for statistical study

A random selection of members of the population is known as sample.

Here

Number of business chosen at random = 50

Number of questionnaire returned by mail = 28

Number of non responses = 50 - 28

                                            = 22

Since the committee plans to survey local businesses about the importance of students as customers, the population is all about local business.

Since the specific group from the population are 50 local businesses chosen by the committee, sample is the 50 to whom the questionnaire was sent

Percentage of non response = [tex]\frac{22}{50} \times 100[/tex]

                                                = [tex]44[/tex] %

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Complete Question

A committee on community relations in a college town plans to survey local businesses about the importance of students as customers. From telephone book listings, the committee chooses 50 businesses at random. Of these, 28 return the questionnaire mailed by the committee.

Identify the population and the sample for this study.

a)The population is all students in the college town and the sample is the 50 local businesses to whom the questionnaire was sent.

b)The population is all local businesses and the sample is the 50 to whom the questionnaire was sent.

c) The population is the 28 businesses who responded to the questionnaire and the sample is all local businesses.

d)The population is the 50 local businesses to whom the questionnaire was sent and the sample is the 28 who responded.

What is the rate (percent) of nonresponse?

(Use decimal notation. Give your answer as an exact number.)

Answer:

A

Step-by-step explanation:

y =  35 + 15x

A

:]

We are asked to find the equation of a circle on the xy-plane, with center (3/4 , 1/2) and a radius of 3/5 units. For doing so, we remember the general equation of a circle

Where (h,k) represents the center of the circunference, and r its radius.

In our example, we obtain that,

And so,

Applying the above formula, we get that the equation of the circle will be:

This is:

the volume of a cilinder is:

So we can replace the radius and the high so:

Now we can replace pi by 3.14 so:

Mathematical objects other than numbers can be used in operations. Here, t can be expressed as  [tex]\frac{Q-M}{r}[/tex].

Binary and unary operations are the two most popular forms of operations. Trigonometric functions and negation are examples of unary operations that use only one value. Contrarily, binary operations, which include addition, subtraction, multiplication, division, and exponentiation, only accept two values.

Mathematical objects other than numbers can be used in operations. Logic operations like and, or, and not can be used to combine the logical values true and false. It is possible to add and subtract vectors. Utilizing the function composition operation, it is possible to combine rotations by first performing the first rotation and then the second. The binary operations union and intersection as well as the unary operation of complementation are operations on sets. Composition and convolution are two operations on functions.

Solving for t,

Q = M + Mrt

t = [tex]\frac{Q-M}{r}[/tex]

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The slope-intercept form of a line is given by:

y = mx + b

where:

m = slope

b = y-intercept

From:

Therefore, the y-intercept of this line is -4.

Hence, the correct option is:

Answer:

7

Step-by-step explanation:

(x = increase each week)

(6=weeks)

(42= total Grade Change)

Linear equation:

42=6x

Solved:

x=7

The sum of exterior angles of a regular polygon is 360 degree.

Determine the measure of last exterior angle of a regular pentagon.

So measure of last angle of a regular pentagon is 88 degree.

146

= 6x^2 - 4

= x = 5

= 6 x 5^2 - 4

= 5^2 = 25

= 6 x 25 - 4

= 150 - 4

= 146

Answer:

Step-by-step explanation:

Plug in the value of x into the expression [tex]6x^2-4[/tex].

- You will obtain this: [tex]6(5)^2-4[/tex].

Then all you need to do is use the correct Order of operations to evaluate.

 - For example, you need to square 5 first: [tex]6\cdot25-4[/tex].

Then, you need to multiply: [tex]150-4[/tex].

Then, you should subtract: [tex]146[/tex]

↣ I hope I could help!

60 + 0.04 = 60.04

The answer is 60.04

Solution

We have

5 red marbles

6 blue marbles

3 green marbles

4 black marbles

2 yellow marbles

For a total of 5+6+3+4+2 = 20 marbles

And we want to find the following probability:

p(green or black) = P(green) + P(black) - P(green and black) = 3/20 + 4/20 - 0/20 = 7/20

Equivalent to : 7/20 * 5/5 = 35/100

p(green and red) without replacement = 0/100

Since a right triangle is formed, the radius of the cross-section is the missing side of the triangle.

Apply the Pythagorean theorem:

C^2 = a^2 + b^2

Where:

c = hypotenuse = 5

a & b = the other 2 legs of the triangle = 4 and x

Replacing:

5^2 = 4^2 + x^2

solve for x ( radius of the cross-section)

25 = 16 + x^2

25-16 = x^2

9 = x^2

√9 = x

x = 3 cm

Answer:

40%

Step-by-step explanation:

to change a fraction to a percentage multiply by 100% , that is

[tex]\frac{20}{50}[/tex] × 100% = 0.4 × 100% = 40%

Answer:

40%

Step-by-step explanation:

We are given a function and we are asked the following questions:

Part 1. Evaluate G(-1). The value of G(-1) is the value of the independent variable, that is the vertical axis when the dependent variable is -1, that is the horizontal axis. To find the value we draw a vertical line perpendicular to the horizontal at the value -1, until we intercept the graph, from there we draw a vertical line until we intercept the vertical axis. From the graph we see that:

Part 2. Evaluate G(2). This is the value of the independent variable when the dependent variable is 2. From the graph we see:

Part 3. Determine:

Replacing the known values:

Solving the operations:

Answer:

[tex]\textsf{Let $\boxed{x}=\boxed{\textsf{The total dollar amount of all phone sales}}$}\:.[/tex]

[tex]\textsf{Let $\boxed{y}=\boxed{\textsf{The total dollar amount of all computer sales}}$}\:.[/tex]

System of Equations

[tex]\boxed{x + y = 3600}[/tex]

[tex]\boxed{0.04x + 0.06y = 178}[/tex]

Step-by-step explanation:

Given information:

Define the variables:

Convert the percentages into decimal form:

[tex]\implies \sf 4\%=\dfrac{4}{100}=0.04[/tex]

[tex]\implies \sf 6\%=\dfrac{6}{100}=0.06[/tex]

Therefore, the system of equations that could be used to determine the dollar amount of phone sales and computer sales is:

[tex]\begin{cases}x + y = 3600\\0.04x + 0.06y = 178\end{cases}[/tex]

Solving the system of equations

Rewrite the first equation to isolate y:

[tex]\implies x=3600-y[/tex]

Substitute the expression for x into the second equation and solve for y:

[tex]\implies 0.04(3600-y)+0.06y=178[/tex]

[tex]\implies 144-0.04y+0.06y=178[/tex]

[tex]\implies 144+0.02y=178[/tex]

[tex]\implies 0.02y=34[/tex]

[tex]\implies y=1700[/tex]

Therefore, Cameron made $1,700 of computer sales.

Substitute the found value of y into the first equation and solve for x:

[tex]\implies x+1700=3600[/tex]

[tex]\implies x=1900[/tex]

Therefore, Cameron made $1,900 of phone sales.

So , the percentage of time spent on messenger work by the clerk during the week was most nearly is 16%.

From the Latin word "per centum," which meaning "by the hundred," the word "percentage" was borrowed. The denominator of percent's is 100, making them fractions. In other words, it is the relationship between a component and a whole in which the value of the entire is consistently set to 100. The value of the entire is always 100 in a percentage, which is a ratio or fraction. Sam, for instance, would have received a score of 30 out of 100 on his arithmetic test if he received a 30%. When expressed as a ratio, it is written as 030:10 and as a fraction, 30/100. An quantity or part that is contained in each hundred is known as a percentage. The symbol "%" signifies that it is a fraction with 100 as the denominator.

35 h * 1 / 5 = 7 h

35 h * 1 / 2 = 17.5 h

35 h * 1 / 7 = 5 h

7 h + 17.5 h + 5 h

= 29.5 h

The rest of his time = 35 - 29.5

= 5.5 h

5.5 / 35 = 0.15714

= 15 .714 %

Approx. 16 %

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ANSWER :

The answer is A. 2π

EXPLANATION :

Period can be determine by getting the measurement of one complete cycle.

From the graph.

One complete cycle is the blue mark.

Therefore, the period is 2π

If we have a function [Equation] it would look something like this:

3x+y=4

In order to solve for both values and graph it [If that's what you are trying to do], you solve for y and then replace values [Of your own choosing, or they are given to be studyed] in x, after we replace the values in x, we are going to have the respective value of y.

From our previous example, it would be:

y = -3x+4

So, when we start replacing the values of X, we will get the respective values for Y, let's try doing it from -3 to 3.

x = -3 => y = -3(-3)+4 => y = 13

x = -2 => y = -3(-2)+4 => y = 10

x = -1 => y = -3(-1)+4 ) => y = 7

x = 0 => y = -3(0)+4 => y = 4

x = 1 => y = -3(1)+4 => y = 1

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

x = 2 => y = -3(3)+4 => y = -5

From this, we would end up with the following points:

(-3, 13)

(-2, 10)

(-1, 7)

(0, 4)

(1, 1)

(2,

Answer:

The side length, s, of the square is 18

Step-by-step explanation:

The sides can be found by taking the square root of the area.

(Area)^1/2=s, where s = side.

(324)^1/2=18

Answer:

(x − 10) ÷ 4

Step-by-step explanation:

So, the equation is trying to figure out how much each person is paying. x = the whole dinner. Then, you take away $10 from the total cost. Then, with that discounted cost, you're dividing by 4 people to figure out how much each person is paying.

Answer:

Choice C
==> Bank A

Step-by-step explanation:

Principal P = $2000

Bank A calculation

Simple Interest at 5% for 4 years  = Prt = 2000 x 5/100 x 4 = $400

Bank B Calculation

At 4% interest compounded quarterly, the accrued value(Principal + Interest) is given by the formula:

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

where

P = principal

r = annual interest rate as percentage

n = number of compounding per year

t = number of years

We have r = 4/ 100 = 0.04

n = 4 since interest is computed quarterly or 4 times a year

t = 4 years

[tex]A = 2000 ( 1 + 0.04/4)^{(4) \cdot (4)}\\\\A = 2000 (1.01)^{16} = \$2,345.16\\\\\text{Interest } = 2345.16 - 2000 = $345.16[/tex]

Since interest earned at bank A (400) > interest earned at bank B(345.16), the answer would be C.   ==> Bank A