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Leni [432]
3 years ago
12

Create a table of some number pairs that satisfy the equation 3x+y=9

Mathematics
1 answer:
olga55 [171]3 years ago
8 0
X y
0 9
1 6
2 3
3 0
4 -3
5 -6
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Suppose that contamination particle size (in micrometers) canbe modeled as
asambeis [7]

Answer:

c) 2

d) 0.96

Step-by-step explanation:

We are given the following in the question:

f(x) = 2x^{-3}, x > 1\\~~~~~~~= 0, x \leq 1

a) probability density function.

\displaystyle\int^{\infty}_{\infty}f(x) dx = 1\\\\\displaystyle\int^{\infty}_{-\infty}2x^{-3}dx = 1\\\\\displaystyle\int^{\infty}_{1}2x^{-3}dx\\\\\Rightarrow \big[-x^{-2}\big]^{\infty}_1\\\\\Rightarrow -(0-1) = 1

Thus, it is a probability density function.

b) cumulative distribution function.

P(X

c) mean of the distribution

\mu = \displaystyle\int^{\infty}_{-\infty}xf(x) dx\\\\\mu = \int^{\infty}_12x^{-2}dx\\\\\mu = (-\frac{2}{x})^{\infty}_{1}\\\\\mu = 2

d) probability that the size of random particle will be less than 5 micrometers

P(X

4 0
2 years ago
1 2/12 - 2/12 - 1/12=
aleksley [76]

Answer:

11/12

Step-by-step explanation:

1 2/12 = 14/12

14/12 - 2/12 - 1/12

since they all have 12, it doesn't matter until the end

14 - 2 = 12 - 1 = 11

put the /12 behind the 11 and you have an answer

7 0
3 years ago
a basketball player has a 60% chance of making each free throw. what is the probability that the player makes exactly 8 out of 1
patriot [66]
8/10
Might be wrong tho
4 0
3 years ago
2/5 + 1/4 + 7/10 = what's the answer ​
kotegsom [21]

Convert 2/5, 1/4 and 7/10 to fractions with like denominators.

\bf{\dfrac{2\times4}{5\times4}+\dfrac{1\times5}{4\times5}+\dfrac{7\times2}{10\times2} \ \ \to \ \ \ Multiply }

\bf{\dfrac{8}{20}+\dfrac{5}{20}+\dfrac{14}{20}    }

Since 8/20,5/20 and 14/20 have the same denominator, add their numerators to add them up.

\bf{\dfrac{8+5+14}{20} \ \ \to \ \ \ Add. }

\green{\underbrace{\red{\boxed{\purple{\boxed{\bf{\blue{\frac{27}{20}  }}}}}} \ \ \to \ \ \bf{\red{Answer}}}}

4 0
2 years ago
PLEASE HELP!
Studentka2010 [4]
X > 50/-5
X>-10
The answer is B. :)
7 0
3 years ago
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