To which rational number to which rational subset(s) does the following number belong?
15
1. Rational Numbers
II. Natural Numbers
III. Whole Numbers
IV. Integers

Answers

Answer 1

Answer:

15 belongs to the set of natural numbers , whole numbers , integers & rational numbers.

Step-by-step explanation:

TO FIND :-

those subsets to which 15 belongs

FACTS TO KNOW BEFORE SOLVING :-

N = Set of all natural numbers

W = Set of all whole numbers

Z = Set of all integers

Q = Set of all rational numbers

It can be said that :-

N ⊂ W (∵ Whole numbers include all natural numbers along with 0)W ⊂ Z (∵ Integers include positive numbers i.e. whole numbers along with negative numbers.)Z ⊂ Q (∵ Rational numbers include all integers along with fractions.)

Hence , N ⊂ W ⊂ Z ⊂ Q

SOLUTION :-

Method 1 -

{15} ⊂ N (∵ 15 is an element of set N. {15} a singleton set & it can be called as the subset of N )

⇒ {15} ⊂ N ⊂ W ⊂ Z ⊂ Q

∴ 15 belongs to the set of natural numbers , whole numbers , integers & rational numbers too.

Method 2 -

A rational number is a number which can be expressed in "p/q" form where p,q are integers & q ≠ 0. 15 can also be expressed as [tex]\frac{15}{1}[/tex]. Hence, 15 is a rational number i.e. it belongs to the set of rational numbers.Natural numbers are the countable numbers. 15 is a countable number. So , 15 is a natural number i.e. 15 belongs to the set of natural numbersWhole numbers include all natural numbers as well as zero. 15 is a natural number. So , 15 is also a whole number i.e. 15 belongs to the set of whole numbers.Integers include the negative numbers as well as whole numbers. 15 is a whole number. So , 15 is also an integer i.e. 15 belongs to the set of all integers.

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Answer:

A

Step-by-step explanation:

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Use the picture to answer the questions.

What is the value of x in the figure?

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Step-by-step explanation:

10 + 50=60

60+30=90

You are correct the answer is B

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60+30=90

30 degrees was already taken up so if it went up 60 degrees more then it would be 90 degrees.

If 3/4 of an inch on a map is equal to 45 miles , what does 1 inch represent?

Answers

Answer:

60 miles

Step-by-step explanation:

if 45 = 3/4

divide 45 by 3 = 15

15 * 4 = 60

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Answer:

B and D

7/12 cups

Step-by-step explanation:

2 1/3 + 2 1/4 = cups of flour needed

4 = cups of flour had

2 1/3 + 2 1/4

To have the same denominator, we take the lcm

2 + 2 + (4/12 + 3/12) =

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Or

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The length of a rectangle is 10 more than the width. If the
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Answers

Answer:

Dimensions : L = 12 inches, Width = 2 inches

Step-by-step explanation:

Let width be w

Let length be w + 10

Area = length x width

24 = w x (w + 10)

[tex]24 = w^2 + 10w\\\\w^2 + 10w - 24 = 0\\\\w^2 +12w -2w -24 = 0\\\\w(w+12) -2(w+12) = 0\\(w-2)(w+12)=0 \\w = 2 , -12[/tex]

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Answers

Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

Select the correct answer.
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х
у
1
3
3
-3
5
-5
7
بل انبا
9
Which statement about this function is true?
O A. The value of a is negative, so the vertex is a minimum.
ОВ. The value of a is positive, so the vertex is a minimum.
OC. The value of a is positive, so the vertex is a maximum.
OD. The value of a is negative, so the vertex is a maximum.
I

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Answer:

B ;)

Step-by-step explanation:

Anyone with common sense would know

Mark this as branlist

b, it’s the realist yuhhh

Which problem can be solved using the equation below?

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Answer:

Mr. peter puts 24 students into groups of 8. How many groups are there?

Step-by-step explanation:

Whenever the word "groups" is used, it typically means to divide. Because we see the word "groups", it would be reasonable to assume that you will be dividing something.

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Answers

Order
Translation
Reflection
Rotation

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Answer:

3 I think hope it helps.

Step-by-step explanation:

only ⌛ will tell

Answer:

8y-5 isn't realy a question tho...

Step-by-step explanation:

the parabola y=-x^2+12x-11 has an axis of symmetry of x=6. which of the following represents its range?
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(all of the ">/<" are underlined ones)

Answers

Answer: 1) y>-11

Step-by-step explanation:


describe how to use the
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Answers

Answer:

Step-by-step explanation:

To solve exponential equations with same base, use the property of equality of exponential functions . If b is a positive number other than 1 , then bx=by if and only if x=y . In other words, if the bases are the same, then the exponents must be equal.

HELP ME PLEASE! 20 POINTS!

Answers

Answer:

1 no answer=1/100

2 no answer=1/100

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Step-by-step explanation:

1: 1/100
2: 1/100
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Tessellations

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a. yes
b. no

Please select the best answer from the choices provided

Answers

Answer:

A. Yes

Step-by-step explanation:

I calculated it logically

Yes the given figure with triangular tessellates the plane.

All triangles tessellate.

The picture works because all three corners (A, B, and C) of the triangle come together to make a 180° angle - a straight line.

This property of triangles will be the foundation of our study of polygon tessellations, so we state it here: The sum of angles of any triangle is 180°.

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Answers

Answer:

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Answers

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Elevation of a mountain that is above sea level is positive since it isn't below sea level, which would be negative, you are increasing as you go up. Growth of a plant is positive since it isn't growing shorter. Money saved since you aren't spending it. Temperature colder than 0 because that is when the negative numbers start to occur.

Answer:

Step-by-step explanation:

the first box goes in negative, second box in positive, third box in negative, and fourth box in positive.

* But for the first box i’m not completely sure, hope this helped.

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Step-by-step explanation:

hope helps u

have a nice day

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Answers

Answer:

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Step-by-step explanation:

la carretilla se encontraba a unos 18 metros de altura

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Answer:

Step-by-step explanation:

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when you subtract a bigger number than the first number you end up normally with a negative number

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Answers

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10 unit²

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

The probability of tails of a weighted coin is 0.58. The number of tails is noted each of the 25 times the coin is tossed. If this procedure is repeated 150 times, what type of distribution is simulated

Answers

Answer:

It is a  sampling distribution of the sample proportion for which n = 150 and p = 0.58

Step-by-step explanation:

Given -

Probability of tails of a weighted coin = 0.58

Number of tail is noted each 25 times

Repetition of procedure = 150 times

mean =  p = 0.58

SD = Sqrt {p(1-p)/n}

Substituting the given values, we get -

SD = Sqrt {0.58(1 – 0.58)/150}

=  0.04029

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Answer:

The options are not given so these are the options:

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- A binomial distribution with n = 2 and p = 0.58

- A sampling distribution of the sample proportion with n = 25 and p = 0.58  

- A sampling distribution of the sample proportion with n = 150 and p = 0.58

- There is not enough information to determine the distribution.

Step-by-step explanation:

The answer is - A binomial distribution with n = 25 and p = 0.58.

I got it right on my test.

Good luck!

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Answers

Answer:

A. 84 cm²

Step-by-step explanation:

Surface area of triangular prism = 2(base area) + (Perimeter)*height of prism

Base area = 6 cm² (given)

Perimeter = 12 cm

Altitude = height of prism = 6 cm

Plug in the values into the formula

Surface Area of triangular prism = 2(6) + (12)*6

= 12 + 72

= 84 cm²

Х
What is the solution to the equation 3+ 6 + 2?
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X = 2
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x= 3
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Answers

Answer:

hope this help you a lot

good luck

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Answer:

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Step-by-step explanation:

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