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ddd [48]
3 years ago
11

ASAP NEED NOWWW!!!!!!!What is the difference between an irrational number and a rational number?

Mathematics
2 answers:
Alexeev081 [22]3 years ago
8 0

Answer:

Main Difference. The main difference between Rational Numbers and Irrational numbers is that the rational numbers can be written in fraction form whereas irrational numbers cannot be written in a fractional form where denominator and numerator are not equal to zero.

sashaice [31]3 years ago
4 0

Answer:

Numbers that can be expressed as a ratio of two number (p/q form) are termed as a rational number. ... Both the numerator and denominator are whole numbers, in which the denominator is not equal to zero. Irrational numbers cannot be written in fractional form.

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Evaluate the expression for n=8<br> 7(n-7)+17
omeli [17]

Answer:

24

Step-by-step explanation:

7(n - 7) + 17        Substitute 8 for n

7(8 - 7) + 17        Subtract 8 - 7    

7(1) + 17               Multiply 7 x 1

7 + 17                   Add

24

If this answer is correct, please make me Brainliest!

5 0
3 years ago
The manager of a warehouse would like to know how many errors are made when a product's serial number is read by a bar-code read
Bond [772]

Answer:

(a)\ \bar x =20.5

(b)\ \sigma = 14.54

Step-by-step explanation:

Given

x: 36, 14, 21, 39, 11, 2

Solving (a): The mean of the 6 samples.

This is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x =\frac{36+ 14+ 21+ 39+ 11+ 2}{6}

\bar x =\frac{123}{6}

\bar x =20.5

Solving (b): The sample standard deviation.

This is calculated using:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

So, we have:

\sigma = \sqrt{\frac{(36 - 20.5)^2 + (14 - 20.5)^2 + (21 - 20.5)^2 + (39 - 20.5)^2 + (11 - 20.5)^2 + (2 - 20.5)^2}{6-1}}

\sigma = \sqrt{\frac{1057.5}{5}}

\sigma = \sqrt{211.5}

\sigma = 14.54

7 0
3 years ago
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. width units height units
dmitriy555 [2]

This question is incomplete, the remaining part of the question is upload as an image alongside this answer.

Answer:

Width = 2x = 2( r/√2 ) =  √2 r units

Height = 2y = 2( r/√2 ) =  √2 r units

Step-by-step explanation:

From the Figure on the image; lets consider the circle of radius r, centered at the origin.  

let ABCD be the largest rectangle that can be inscribed inside the circle.  

Let the half width of the rectangle be x, then in right triangle ONB using Pythagorean theorem,  

half height of rectangle y = √(r² - x²)

Thus the width of the inscribed rectangle = 2x and height of the inscribed rectangle = 2√(r² - x²)

thus the area of the inscribed rectangle = length × width

⇒ A(x) = 2x(2√(r² - x²))

⇒ A(x) = 4x√(r² - x²)  

now in order to maximize the area, we find critical points.

so we find the derivative and set that zero, that is Ai(x) = 0.

so using product rule, we get

A'(x) = 4x × ( -2x / 2√(r² - x²) ) + ( 4 × √(r² - x²)  )

A'(x) = ( -4x² / √(r² - x²) ) + ( 4√(r² - x²)  )

Now for critical points, set A'(x) = 0

so

( -4x² / √(r² - x²) ) + ( 4√(r² - x²)  ) = 0

( 4x² / √(r² - x²) ) =  ( 4√(r² - x²)  )

x² = r² - x²

2x² = r²

x² = r²/2

x = ±√(r²/2)

Now since x represent the with, it cannot be negative, Thus

x = r/√2

hence

y = √(r² - x²) = √(r² -  r²/2) = √(r²/2) =  r/√2

Therefore, the dimensions of the rectangle of largest area will be;

Width = 2x = 2( r/√2 ) =  √2 r units

Height = 2y = 2( r/√2 ) =  √2 r units

6 0
3 years ago
How to solve this inequality -8×+18&gt;-22
Ksju [112]

Answer:

x < 5

Step-by-step explanation:

<u>Step 1:  Solve for x</u>

-8x + 18 > -22

-8x + 18 - 18 > -22 - 18

-8x / -8 > -40 / -8

<em><u>When dividing by negative, it flips the sign</u></em>

x < 5

Answer: x < 5

4 0
3 years ago
I will give u 100 points and mark you as brainiest if you can answer this for me pls I need it I am in a quiz Order –17, –14, an
Dafna1 [17]

Answer:

-17-17,-17,-17,-14,-14,-14,-14,6,6,6,6

Step-by-step explanation:

hope it helped.

4 0
3 years ago
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