Are holidays a proper subset of the calendar year?

Select the correct answer below:

No, holidays are only a subset of the calendar year.

Yes, holidays are a proper subset but not a subset of the calendar year.

Yes, holidays are a subset and proper subset of the calendar year.

No, holidays are not a subset or proper subset of the calendar year.

Answers

Answer 1

Answer: Choice C

Yes, holidays are a subset and proper subset of the calendar year.

=========================================================

Explanation:

The set of days in the calendar year spans from Jan 1st to Dec 31st.

The set of holidays is a small subset of the previous set mentioned. Any holiday is found on the calendar, but not every day on the calendar is a holiday.

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

Here's another example of a subset

A = set of all animals

B = set of dogs

Set B is a subset of set A because any dog is an animal. In other words, any individual in set B is also in set A, but not the other way around.

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

Going back to the calendar example, the set of holidays is a subset and it's also a proper subset of all the days in the year. We say that set B is a proper subset of set A if B has less items in it compared to A.

If we had these two sets

A = {1,2,3,4,5,6}

B = {1,2,3}

We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A. The only time we have a subset and not a proper subset is when we talk about the set itself. Any set is a subset of itself (not a proper subset of itself).

Answer 2

The True statement is

Yes, holidays are a subset and proper subset of the calendar year.

What is Set?

Sets are represented as a collection of well-defined objects or elements that are consistent from one person to the next. A capital letter represents a set. The cardinal number of a set is the number of items in a finite set.

The order of a set determines the number of elements in the set. It refers to the size of a set. The order of the set is often referred to as the cardinality.

The set of days in the calendar year spans from Jan 1st to Dec 31st.

The set of holidays is a subset of the previously described set. Any holiday can be found on the calendar, however not every day is a holiday.

let Set B is a Proper subset of set A if it contains fewer elements than A.

So, A = {1,2,3,4,5,6}

B = {1,2,3}

We can see that B is a proper subset of set A since everything in B is found in A, and B is smaller than A.

So, holidays are a subset and proper subset of the calendar year.

Learn more about Set here:

https://brainly.com/question/8053622

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Related Questions

Solve for h
h(x)=a(x-h)^2+k
h(x)=x^2-8x+14

Answers

Answer:

h = 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

Given

h(x) = x² - 8x + 14

Express h(x) in vertex form by using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

h(x) = x² + 2(- 4)x + 16 - 16 + 14

      = (x - 4)² - 2

Compare to h(x) = (x - h)² + k , then

h = 4

Anyone know the answer to this please?

Answers

Answer:

140 degrees

Step-by-step explanation:

The center angle of a semi circumference is 180 degrees

BC 180 - 20 - 20 = 180 - 40 = 140 degrees

Answer is :
140 degrees


Because I said so


[tex](2x + 3)(2 {x}^{2} - x - 2)[/tex]
simplify this question​

Answers

Multiply each term in the first expression by each term in the second expression and combine like terms.
4
x
3
+
4
x
2

7
x

6

What is 1 1/8-3/4 also what is 3 5/8-2 7/8

Answers

Answer: 4.25

Step-by-step explanation: Conversion a mixed number 3 1/

8

to a improper fraction: 3 1/8 = 3 1/

8

= 3 · 8 + 1/

8

= 24 + 1/

8

= 25/

8

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

8

= 24/

8

b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25

c) Write a previous answer (new numerator 25) over the denominator 8.

Three and one eighth is twenty-five eighths

Conversion a mixed number 2 3/

8

to a improper fraction: 2 3/8 = 2 3/

8

= 2 · 8 + 3/

8

= 16 + 3/

8

= 19/

8

To find new numerator:

a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/

8

= 16/

8

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19

c) Write a previous answer (new numerator 19) over the denominator 8.

Two and three eighths is nineteen eighths

Add: 25/

8

+ 19/

8

= 25 + 19/

8

= 44/

8

= 4 · 11/

4 · 2

= 11/

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 8 = 64. In the next intermediate step, , cancel by a common factor of 4 gives 11/

2

.

In words - twenty-five eighths plus nineteen eighths = eleven halfs.

Conversion a mixed number 1 1/

4

to a improper fraction: 1 1/4 = 1 1/

4

= 1 · 4 + 1/

4

= 4 + 1/

4

= 5/

4

To find new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/

4

= 4/

4

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 4.

One and one quarter is five quarters

Subtract: the result of step No. 3 - 5/

4

= 11/

2

- 5/

4

= 11 · 2/

2 · 2

- 5/

4

= 22/

4

- 5/

4

= 22 - 5/

4

= 17/

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - eleven halfs minus five quarters = seventeen quarters.

Given that a²+b²=34 and ab=15 , find the value of (a+b²).​

Answers

Answer:

The numbers are 3 and 5

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

3^2=9

5^2=25

25+9=34

3*5=15

Answer:

64

Step-by-step explanation:

(a+b)²= a²+b²+2ab = 34+(2×15)= 64

3p²q - 6pq² help me please .​

Answers

3p²q - 6 pq²

3pq (p - 2q )

I think this is the solution

What is the gradient of the line that passes through the points (4.2) and (0.4)

Answers

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Gradient Formula= [tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]

[tex]y_{2}=4\\y_{1}=2\\x_{2}=0\\x_{1}=4[/tex]

[tex]=>\frac{4-2}{0-4}[/tex]

[tex]=> -\frac{1}{2}[/tex]

That's it. Hope that helped.

Find the area of a regular hexagon with radius length 8

Answers

Of purse you have to use the length and then the radius to find it out I haven’t really study this that much tho! It’s better to ask someone more knowledgeable then me

En 4 días un hombre recorrió 120 km. Si cada día avanzó 1/3 de lo que anduvo el día anterior, en el segundo día recorrió.

Answers

Answer:

36 Km

Step-by-step explanation:

Por favor, encontrar el archivo adjunto

For EASY BRAINLIEST!!!

Answer as many as you can !!

Answers

That’s a lot of work to do but you probably got it by now .

What's the distance between the two points (0,-2) and (0,-9)

Answers

7 is the distance between the two points

Please answer quickly this is due today and I just can’t figure it all out!!

In Andrews furniture shop he build bookshelves and tables each type of furniture takes him about the same time to make he figures he has time to make at most 25 pieces of furniture this by the Saturday the material for each book shelf cost him $20 in a materials for each table cost and $45 he has $675 to spend on materials Andrew makes a profit of $60 on each bookshelf and a profit of $100 for each table how many of each piece of furniture should Andrew make to maximize his profit 1. write a system of inequalities that represents Andrews constraints explain what each of the inequalities represents you should have four inequalities

Answers

Answer:

A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves

y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend.

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.

(0,0)

(18, 7)

(0, 15)

(33.75, 0) or (33, 0) if you insist on rounding.

Step-by-step explanation: Good luck and hope this helps :)

The sum of $4500 is divided among Anesha, Sian and Joanne in the ratio 7: 11: 12
respectively.
Calculate
(i) The amount of money each person received
(ii) The percentage of the total that Joanne received.

Answers

12.35 because you are divided in to equal parts

The parabola described by the equation -1/16(x-3)^2 + 4 = y has the directrix at y=8. What is the focus of the parabola?

Answers

Answer:

(3, 0)

Step-by-step explanation:

A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.

The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:

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

The directrix is at y = k - p, and focus is at (h, k + p).

Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:

[tex]-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\[/tex]

Comparing with the standard form:

The center = (h, k) = (3, 4)

Also, -16 = 4p

p = -4

Directrix is at y = k - p = 4 - (-4) = 8

Directrix is at y = 8

The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)

The focus is at (3, 0)

In converting 14 hours to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 minutes in 1 hour.

Answers

Answer:

The unit I would place in the denominator of my ratio is minutes

Step-by-step explanation:

1 hour = 60 minutes

Converting 14 hours to minutes

= 14 hours/ x minutes = 1 hour /60 minutes

x minutes = 14 × 60 minutes

= 840 minutes

14 hours = 840 minutes

Therefore,

The unit I would place in the denominator of my ratio is minutes

Simplify 6V 80.
0 6+16 51
0 6+415
0 6+1615
O 6+4v5i

Answers

Answer:

2nd option

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i

Simplifying the radical

[tex]\sqrt{-80}[/tex]

= [tex]\sqrt{16(5)(-1)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex]

= 4 × [tex]\sqrt{5}[/tex] × i

= 4i[tex]\sqrt{5}[/tex]

Then

6 + [tex]\sqrt{-80}[/tex]

= 6 + 4i[tex]\sqrt{5}[/tex]

Seven-ninths of the students surveyed like to participate in extra curricular activities after school. Which decimal is equivalent to the fraction of students
who like to participate in activities after school?
O 0.7
0.7
0.78
O 0.79

Answers

Answer:

0.7

Step-by-step explanation:

7/9 = 0.7

Answer:

0.7 (with the repeating sign on the 7)

Step-by-step explanation:

Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)

A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8​

Answers

Answer:

D

Step-by-step explanation:

4x+3y -4x -y = 17 -9

<=> 2y =8

Which function is a quadratic function?
O p(x) = 2x(x2 + 6) + 1
m(x) = -4(x + 3) - 2
Ot(x) = -8x²(x2 – 6) + 1
Oh(x) = 3x(x - 2) - 4

Answers

The answer is the fourth choice

Find the measure of the angle indicated. PLSASE HELP !!!!

Answers

Answer:

Step-by-step explanation:

3x + 4 + 8x + 4 = 140 degree (sum of two interior opposite angle is equal to the exterior angle formed)

11x + 8 = 140

x = 140 - 8

x = 132 /11

x = 12

angle S = 3x + 4

=3*12 + 4

=36 + 4

=40 degree

89 + 5x - 7 = 14x + 1

82 + 5x = 14x + 1

82 - 1 = 14x - 5x

81 = 9x

81/9 = x

9 = x

angle H = 5x - 7

=5*9 - 7

=45 - 7

=38 degree

Answer:

15. <SRJ+<SRT=180 (BEING IN A STRAIGHT LINE)

      140+<SRT=180

       <SRT=40

NOW

<SRT+<STR+<RST=180

40+8X+4+3X+4=180

11X=132

X=12

SUBSTITUTING THE VALUE OF X IN <RST

3*12+4=40

HENCE,<S=40 DEGREE

SIMILARLY,

16.

<H=38 DEGREE

what is the value of k in which the expression k-22=13-61​

Answers

Trust me this is the answer 18.666666

C) –7c^5 + 13c^5 + c^5=

Answers

Answer:

please mark as brilliant thanks for the above

1. Identify the following numbers as rational or irrational.
a. -15.4
b. 27/5
c. 0.99999....
d. V

Answers

a. -15.4 is a rational number.
b. 27/5 is a rational number.
c. 0.99999… is an irrational number.
d. √7 is an irrational number.


A boy standing between two pillars of equal height observes the angle of a
elevation of the top of pillars to be 30°. Approaching 15m towards any one
of the pillar, the angle of elevation is 45°. Find the height of the pillars and the distance between them ​

Answers

Answer:

15m

Step-by-step explanation:

did the math

Evaluate: 5 + 2 • 42?

Answers

5 + ( 2 × 42 ) =

5 + 84 =

89

.....

.....

Answer:

89

Step-by-step explanation:

So we will follow PEMDAS in this exact order:

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

5 + 2 • 42 Equation

5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication

5 + 84 We have no division so we move on to addition

= 89 We have no subtraction so this is our final answer

Is -14 greater than less than or equal to -3

Answers

Answer:

less than is the correct answer

Which graph represents y as a function of x?

Answers

Answer:

A

Step-by-step explanation:

By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.

A scatter plot is shown with the title Jordans Hot Chocolate Sales. The x axis is labeled High Temperature and the y axis is labeled Cups of Hot Chocolate Sold. Data points are located at 20 and 20, 30 and 18, 40 and 20, 35 and 15, 50 and 20, 45 and 20, 60 and 14, 65 and 18, 80 and 10, 70 and 8, 40 and 2.

Answers

Answer:

First Part;

As the temperature in the city increases, the number of cups of hot chocolate sold decreases

Second Part;

The approximate value of the slope in number of cups sold per change in temperature is -0.12222

The approximate value of the y-intercept is 20.944 degrees temperature

Step-by-step explanation:

Question;

First Part

What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words

Second Part

How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit

Explanation

The data points are presented in the following table;

[tex]\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}[/tex]

A scatter plot is formed from the given data using MS Excel

First part;

From the values of the number of cups sold, y, and the temperature at which they are sold, x, there is correlation between the x and y values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature

Second Part;

The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;

y = a + b·x

[tex]b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }[/tex]

a = [tex]\bar y[/tex] - b·[tex]\bar x[/tex]

Where;

b = The slope

a = The y-intercept

From MS Excel, we have;

[tex]\bar y[/tex] = 15, [tex]\bar x[/tex] = 48.63636

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410[/tex]

[tex]\sum \left(x_i - \bar x\right )^2 = 3354.545[/tex]

Therefore;

[tex]b = \dfrac{-410}{3354.545} = -0.12222[/tex]

The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)

a = 15 - (-0.12222)×48.63636 ≈ 20.944

The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).

If 120 learners took an examination, passes to fail is 17:3 : what percentage of learners passed​

Answers

Answer:

85%

Step-by-step explanation:

First, let's add up the ratios and use it to divide 120. That way we can find out how many people each ratio is.

17 +3 = 20

120/20 = 6

Each individual ratio is equal to 6.

17 * 6 = 102

3 * 6 = 18

102/120 = percentage of who passed

= 0.85

85 percent of learners passed.

Solve for x. Round to one decimal place

Answers

Answer:

x ≈ 27.2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 54°

Opposite Leg = 22

Hypotenuse = x

Step 2: Solve for x

Substitute in variables [sine]:                                                                           sin54° = 22/x[Multiplication Property of Equality] Cross-multiply:                                      x = 22/sin54°Evaluate:                                                                                                           x = 27.1935Round:                                                                                                               x ≈ 27.2
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