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4 years ago

11

What is the difference between rational and irrational numbers

2 answers:

quester [9]4 years ago

6 0

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.

dexar [7]4 years ago

3 0

An Irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction

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Write 4% as a reduced fraction and as a decimal

grandymaker [24]

The answer is 0.04
All you have to do is go to a calculator and type 4 then put %

5 0

4 years ago

Michael is running for president. The proportion of voters who favor Michael is 0.8. A random sample of 100 voters is taken.

Anton [14]

Answer:

Michael is running for president. The proportion of voters who favor him is 0.3. A simple random sample of 100 voters is taken.

a)

What is the expected value :: n*p = 100*0.8 = 80

standard deviation:: sqrt(n*p*q) = sqrt(80*0.2) = 16

where q is proportion of voters who do not favor Michael. (q=0.2)

and shape of the sampling distribution is binomial distribution which is approximately a bell shaped.

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

what is the probability that the number of voters in the sample who will not favor Michael will be more than 16

P(X < 16.0) = P((x - 20) / 4.0) < (16.0 - 20) / 4.0) = P(Z < -1.00) = .1587

P(X > 16.0) = 1 - 0.1587 = 0.8413

5 0

4 years ago

Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

<em> The rocket hit the ground at </em> $x = \frac{5}{4}$ <em></em>

<u><em>Step(ii):</em></u>-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

<em>The maximum height of the rocket = 12.468 feet</em>

4 0

3 years ago

Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that apply.

Vlada [557]

Answer:

The answer is B and C

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLEASE HELP BRAINLIESSSSTT

devlian [24]

For Scott

He is at 100km 30 degrees

For Spock

He is at 110km 62 degrees

So The difference between them is just algebraic subtraction of their positions

110km 62°-100km 30°
(110-100)km (62-30)°
10km 32° apart

4 0

2 years ago