MATHEMATICS HIGH SCHOOL

Integers are a subset of Rational Numbers.

True
False

Answers

Answer 1

Answer:

Answer:

True.

Step-by-step explanation:

Given :Integers are a subset of Rational Numbers.

To Find : True or False

Solution:

Rational numbers : A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Integer : An integer is a number that can be written without a fractional component

Integer can be written in p/q form with denominator 1

So, Integer is a subset of Rational numbers .

Hence Integers are a subset of Rational Numbers is true.

Answer 2

Answer:

Final answer:

The statement is true, integers are indeed a subset of rational numbers. This is because every integer can be expressed as a rational number with the denominator as 1.

Explanation:

Yes, it is True that Integers are a subset of Rational Numbers. Rational numbers are defined as any number that can be expressed as the quotient or fraction of two integers, with the denominator not equal to zero. For instance, the number 3/1 is a rational number, and it equals to the integer 3. Integers, on the other hand, can be thought of as rational numbers where the denominator is always 1. Therefore, every integer is a rational number, but not every rational number is an integer.

Learn more about Integers and Rational numbers here:

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H = 8 cm

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

We have

$r=6cm,\ V=904.78\ cm^3$

Substitute:

$\pi(6^2)H=904.78\n\n36\pi H=904.78\qquad\text{use}\ \pi\approx3.14\n\n(36)(3.14)H=904.78\n\n113.04H=904.78\qquad\text{divide both sides by}\ 113.04\n\nH\approx8\ cm$

Josie rode her bike 18 miles at 12 and then rode another 24 miles at 15. How long did she ride in all?

A.27 hours

B.15 hours

C.6 hours

D.3.1 hours

Answers

18/12= 1.5
24/15= 1.6
1.6+1.5=3.1
I think D is your answer

Which equation represent slope-intercept form of line

Answers

Well for it to be slope intercept form you would look for the equation;
Y=mx+b. So just look for an equation that has y= a number then x then + another number. An example of slope intercept would be y=1/2x+3. Good luck!

where are the choices

Step-by-step explanation:

. Use the process outlined in the lesson to approximate the number 3√10. Use the approximation √10 ≈3162 277 7.. Find a sequence of five intervals that contain 3√10 whose endpoints get successively closer to 3√10. Write your
iintervals in the form 3^???? < 3^√10 < 3^s for rational numbers ????and s.

Answers

Answer:

sequence of five intervals

(1) 3³ < $3^(√(10) )$ < $3^(4)$

(2) $3^(3.1)$ < $3^(√(10) )$ < $3^(3.2)$

(3) $3^(3.16)$ < $3^(√(10) )$ < $3^(3.17)$

(4) $3^(3.162)$ < $3^(√(10) )$ < $3^(3.163)$

(5) $3^(3.1622)$ < $3^(√(10) )$ < $3^(3.1623)$

Step-by-step explanation:

as per question given data

√10 ≈ 3.162 277 7

to find out

sequence of five intervals

solution

as we have given that √10 value that is here

√10 ≈ 3.162 277 7 ........................1

when we find $3^(√(10) )$ ................2

put here √10 value in equation number 2

we get $3^(√(10) )$ that is 32.27

sequence of five intervals

(1) 3³ < $3^(√(10) )$ < $3^(4)$

(2) $3^(3.1)$ < $3^(√(10) )$ < $3^(3.2)$

(3) $3^(3.16)$ < $3^(√(10) )$ < $3^(3.17)$

(4) $3^(3.162)$ < $3^(√(10) )$ < $3^(3.163)$

(5) $3^(3.1622)$ < $3^(√(10) )$ < $3^(3.1623)$

Amy has 35 tiles of the same shape and size in a box. The colors of and amounts of the tiles are shown below:12 red tiles
8 yellow tiles
15 pink tiles
Without looking in the box, Amy takes out a tile at random. She then replaces the tile and takes out another tile from the box. What is the probability that Amy takes out a yellow tile in both draws?

8 over 35 multiplied by 7 over 34 equal 56 over 1190
8 over 35 multiplied by 8 over 35 equal 64 over 1225
8 over 35 plus 7 over 34 equal 517 over 1190
8 over 35 plus 8 over 35 equal 560 over 1225

Answers

The probability that Amy takes out a yellow tile in both draws is : ( B ) 8 over 35 multiplied by 8 over 35 equals 64 over 1225

Meaning of probability

probability is the likelihood of an event occuring or not,two or more events can occur simultaneously and we call that independent events and when one event depend on another event for occurrence we say mutually exclusive.

The question here is a mutually exclusive probability as the picking of the yellow tiles depend on how many times she will dip her hand for the draw.

Given data

red tiles = 12

yellow tiles = 8

pink tiles = 15

total tiles = 35

Probability of picking yellow balls and replacing after a pick is = 8 over 35 multiplied by 8 over 35 which equals 64 over 1225.

In conclusion , the probability of picking yellow balls and replacing after a pick is = 8 over 35 multiplied by 8 over 35 which equals 64 over 1225.

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8 x 8 = 64
35 35 1225

or about 5.2% chance

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