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Lera25 [3.4K]
3 years ago
6

What is the value of x? 20 35 60 70

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer:

20

Step-by-step explanation:

so we know x+40=3x because opposite angles are congruent so if you solve it out you get x=20

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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

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4 0
3 years ago
What is 20% by 37 decreased
Ghella [55]

Answer:

<u><em>37 decreased by 20% is </em></u><u><em>29.6.</em></u>

Step-by-step explanation:

<u><em>To do this, what we do is simply </em></u><u><em>take 20% of 37 and subtract it from 37.</em></u>

<u><em>20% of 37.</em></u><u><em> A trick to easily figure this out is </em></u><u><em>multipling 37 by 20 and dividing by 100.</em></u>

<u><em>37*20 = 740</em></u>

<u><em>740 / 100 = 7.40</em></u>

<u><em>37 - 7.40 = 29.6</em></u>

<u><em>37 decreased by 20% is </em></u><u><em>29.6.</em></u>

6 0
2 years ago
Read 2 more answers
which is the factorization of x3 8? (x 2)(x2 – 2x 4) (x – 2)(x2 2x 4) (x 2)(x2 – 2x 8) (x – 2)(x2 2x 8)
kobusy [5.1K]
Hello,
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Answer B

(x^3-2^3=(x-2)(x²+2x+4)
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3 0
3 years ago
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Which equation justifies why ten to the one third power equals the cube root of ten?
son4ous [18]

Answer:

B

Step-by-step explanation:

(a^{m})^{n}=a^{mn}.\ \text{Hence option b will be correct.}

6 0
3 years ago
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How many possible outcomes are there when flipping a coin 9 times?
otez555 [7]
Each time the coin is tossed, there are two possible outcomes. The total number of possible outcomes when 9 tosses are made is given by:
2^{9}=512\ outcomes
3 0
3 years ago
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