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3 years ago

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A website offers a coupon such that each customer has a 15% chance of getting the coupon every day they visit. Aya visits the we

bsite 6 consecutive days. What is the probability that aya will offered a coupon on at least one of the days she visit the website

1 answer:

Advocard [28]3 years ago

5 0

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What are the points on y-axis which are at a distance of 4 units from 4x+3y=12

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Given:

The equation of line is

$4x+3y=12$

To find:

The points on y-axis which are at a distance of 4 units from the given line.

Solution:

The point lie on the y-axis. So, their x-coordinate must be zero.

Let the points are in the form of (0,k).

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$d=\dfrac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}$

The given equation can be written as

$4x+3y-12=0$

The distance between (0,k) and $4x+3y-12=0$ is 4 units.

$4=\dfrac{|4(0)+3(k)-12|}{\sqrt{4^2+3^2}}$

$4=\dfrac{|0+3k-12|}{\sqrt{16+9}}$

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$\pm 20=3k-12$

$12\pm 20=3k$

$\dfrac{12\pm 20}{3}=k$

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