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Mrrafil [7]
3 years ago
13

Which equation represents a line that passes through (4,1/3) and has a slope of 3/4? y – 3/4= 1/3(x – 4)

Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

y – 1/3 = 3/4 (x – 4)

Step-by-step explanation:

The equation of a line is given by  y-y_1=m(x-x_1)

Where

m is the slope, and

(x_1,y_1) is the coordinates of the point given

<em>It is giventhat the slope is 3/4, so m = 3/4. Also, the point is (4, 1/3) so this is (x_1,y_1)</em>

<em />

<em />

Plugging it into the formula, we get:

y-y_1=m(x-x_1)\\y-\frac{1}{3}=\frac{3}{4}(x-4)

Hence, 2nd option is the right answer.

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In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p
skelet666 [1.2K]

Answer:

\mathbf{P(X=5) =0.0888}    

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Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

\mathtt{P(X=x) =(^{n}_{x} )   \  \pi^x \  (1-\pi)^{n-x}}

\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} )   \  \pi^x \  (1-\pi)^{n-x}}

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\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} )  \times  \ 0.0060466 \  \times 0.262144}

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\mathtt{P(X=5) =0.0887645}

\mathbf{P(X=5) =0.0888}     to 4 decimal places

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The probability of P ( x ≤ 5)\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})

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