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2 years ago

What property is (C+2+0=c+2

Mathematics

1 answer:

frosja888 [35]2 years ago

6 0

Answer:

Communitive Property of Addition

Step-by-step explanation:

Example of Comunitive Property of Multiplecation:

a+b = b+a

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What is the slope of the line whose equation is -48 = 2x - 8y?<br> Enter your answer in the box.

aleksandr82 [10.1K]

Answer:

The slope is $\frac{2}{8}$

Step-by-step explanation:

Take the general equation of a straight line $y = mx+c$

Here $m$ is the slope of the line.

So let's get the equation of the line in the question in the same form.

$-48 = 2x-8y$

Add $8y$ to both sides: $8y - 48 = 2x$

Add $48$ to both sides: $8y = 2x + 48$

Divide by $8$ to get it into the general equation: $y = \frac{2}{8} x + 6$

Now compare it to the general equation to find the value of $m$ . The value of $m$ is the coefficient of $x$ which we can see is $\frac{2}{8}$

3 0

2 years ago

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.

8 0

2 years ago

Rob mixed 3.7 grams of salt into a pot of soup he was cooking. Before he served the soup, Rob added 0.5 grams of salt. How much

saul85 [17]

Answer:

4.2 grams in total

Step-by-step explanation:

<h2>Remember to line up the decimal point when adding numbers that contain decimals.</h2>

3.7

+0.5

_______

4.2

5 0

3 years ago

In two common species of flowers, A and B, the proportions of flowers that are blue are and , respectively. Suppose that ind

Juliette [100K]

Answer:

Pa - Pb

Step-by-step explanation:

The mean of the distribution of sample differences will always be the difference between the population proportion, That is ; Pa - Pb ; This is because according to the central limit theorem which says the sampling distribution of sample means approaches a normal distribution as sample size gets larger irrespective if the shape of the Population distribution. Hence, the distribution of sample differences will follow a normal distribution and the mean will Hence be the difference in the population mean.

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2 years ago

What is the slope-intercept equation of the line that includes (0,7) and (3,10)?

maksim [4K]

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-7}{3-0}\implies \cfrac{3}{3}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=1(x-0)\implies y-7=x\implies y=x+7$

5 0

3 years ago

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