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1 year ago

Is the difference of 18 and 3 a rational number? Explain

Mathematics

2 answers:

Zinaida [17]1 year ago

7 0

Answer:

Yes

Step-by-step explanation:

The difference of 18 and 3 is 15 which can be expressed as fraction, so its a rational number.

joja [24]1 year ago

5 0

Answer:

Yes, it is a rational number.

Step-by-step explanation:

A rational number is a number that can be expressed in fractional form. A rational number consists of:

Integers - they can be expressed in form of $\displaystyle{\dfrac{a}{1}}$ where a is an integer.

Fractions - obviously that they are in fractional form.
Repeating Decimals - they can be expressed in form of fractions as well.

Since the difference of 18 and 3 is 15 and the number 15 can be expressed as 15/1. Therefore, 15 or the difference of 18 and 3 is a rational number.

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Answer:

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Step-by-step explanation:

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3 years ago

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In-s [12.5K]

Answer:

$\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

$L^2 = y^2 + x^2$

$\implies L = \sqrt{y^2 + x^2}$ ,

Differentiating with respect to time (t),

$\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})$

$=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)$

$=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})$

$=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})$

Here,

$\frac{dy}{dt}=-6\text{ ft per sec}$

Also, $\frac{dL}{dt} = 0$ ( Ladder length = constant ),

$\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0$

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3 years ago

he production of pipes has a mean diameter of 3.25 inches and a standard deviation of .15 inches. The shape of the distribution

o-na [289]

Answer:

The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525

Step-by-step explanation:

$Mean = \mu = 3.25 inches$

Standard deviation = $\sigma = 0.15 inches$

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$P(Z \geq 3.5)=1-P(z$

Refer the z table for p value

$P(Z \geq 3.5)=1-0.0475\\P(Z \geq 3.5)=0.9525$

Hence the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525

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3 years ago

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Anna [14]

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