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ira [324]
3 years ago
12

A line passes through (3, -2) and (6,2). Write an equation for the line in point-slope form.

Mathematics
1 answer:
snow_lady [41]3 years ago
7 0

Answer:

4x - 3y -18 = 0 or y = 4x/3 - 6

Step-by-step explanation:

We will have to find the slope of the line first

The formula for slope:

m =\frac{y_{2}- y_{1} }{x_{2} -x_{1} } \\m= \frac{-2-2}{3-6}\\ =\frac{-4}{-3}\\ =\frac{4}{3}

The standard form of equation of a line is:

y = mx + b

We know m,

So the equation will be:

y= \frac{4}{3}x+b

We have to find the value of b, for that we will put any one of the point in the equation

So, putting (6,2)

2 = 4/3 * 6 + b

2 = 8 +b

b = -6

Putting the value of m and b in the standard form of equation of line,

y = mx + b\\y = \frac{4}{3}x+(-6)\\y = \frac{4}{3} x - 6\\Multiplying\ both\ sides\ by\ 3\\3y = 4x - 18\\4x - 3y -18 = 0 ..

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Answer:

16% of £50 = £8

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8. A music store sells used CDs for $9. They buy used CDs for $4. You have $50 to
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Assume the number of typo errors on a single page of a book follows Poisson distribution with parameter 1=3. Calculate the proba
asambeis [7]

Answer:

(i). 0.03981

(ii).0.0048

Step-by-step explanation:

The probability density function of Poisson distribution is:

P(X=x,\lambda)=\frac{e^{-\lambda}\lambda^x}{x!} \; \;\;\,\; x=0,1,2,...

Consider <em>X</em> is a number of typos error on a single page of a book and <em>X</em> follows the Poisson distribution with \lambda = \dfrac{1}{3}

(i) Exactly two typos:

            \begin{aligned}P(X = 2,\frac{1}{3})&=\frac{e^{-\frac{1}{3}}\frac{1}{3}^{2}}{2!}\\&=\frac{e^{-\frac{1}{3}}}{18}\\&=0.03981\end{aligned}

(ii) Two or more typos:

       \begin{aligned}P(X\geq2,\frac{1}{3})&=1-[P(X=0)+P(X=1)+P(X+2)]\\&=1-[0.7165+0.2388+0.03981]\\&=1-0.9952\\&=0.0048\end{aligned}

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