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Katyanochek1 [597]
3 years ago
14

The output value of a function is also known as the (dependent, independent) variable.

Mathematics
1 answer:
shutvik [7]3 years ago
3 0

A function works like this:

You put any number you want into the input, and
the output depends on the number you put it.

That's why the output is the dependent variable.
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Answer: Supplementary Angles

Step-by-step explanation:

Supplementary angles are a pair of angles whose sum is 180°. 45° and 135° add up to 180°. Therefore, the answer is supplementary angles.

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2 years ago
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The
Nezavi [6.7K]

ANSWER

As given in question

plant’s height = 37 centimeters

it grows at a rate of 0.004 centimeter per hour of sunlight

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the number of hours of sunlight = s

Than the equation become in the form

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3 years ago
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The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x
natulia [17]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

<em>Firstly we will calculate the general probability that of P(a < X < b) </em>

       P(a < X < b) =  \int_{a}^{b} \frac{2}{x^{3}} dx = 2\int_{a}^{b} x^{-3} dx

                            = 2[ \frac{x^{-3+1} }{-3+1}]^{b}_a   dx    { Because \int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a }

                            = 2[ \frac{x^{-2} }{-2}]^{b}_a = \frac{2}{-2} [ x^{-2} ]^{b}_a

                            = -1 [ b^{-2} - a^{-2}  ] = \frac{1}{a^{2} } - \frac{1}{b^{2} }

a) Now P(X < 5) = P(1 < X < 5)  {because x > 1 }

     Comparing with general probability we get,

     P(1 < X < 5) = \frac{1}{1^{2} } - \frac{1}{5^{2} } = 1 - \frac{1}{25} = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/8^{2} - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = \frac{1}{6^{2} } - \frac{1}{10^{2} } = \frac{1}{36} - \frac{1}{100 } = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

                                = (\frac{1}{1^{2} } - \frac{1}{6^{2} }) + (1/10^{2} - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

               ⇒  P(1 < X < x) = 0.75

               ⇒  \frac{1}{1^{2} } - \frac{1}{x^{2} } = 0.75

               ⇒  \frac{1} {x^{2} } = 1 - 0.75 = 0.25

               ⇒  x^{2} = \frac{1}{0.25}   ⇒ x^{2} = 4 ⇒ x = 2  

Therefore, value of x such that P(X < x) = 0.75 is 2.

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How to solve <br> 6x - 17
AveGali [126]

Answer:

you can

Step-by-step explanation:

they are not like terms because the number 6 has and x next to it and 17 doesn't

6 0
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