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1 year ago

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each transformation is performed on the line with the equation y=2x-1. write the equation of the new line. vertical translation

down 3 units, slope increased by 4, slope divided in half, and shifted up 1 unit.

1 answer:

Phoenix [80]1 year ago

6 0

Answer:

y2= 2x-4

y3=6x-1

y4= x-1

y5=2x

Step-by-step explanation:

for y=2x-1

1) for a vertical translation down of 3 units

y2= y-3 =(2x-1)-3= 2x-4

y2= 2x-4

2) for a slope increased by 4

y3= y+ 4x = 2x-1 +4x = 6x-1

y3=6x-1

3) for sloped divided in half. slope of y : m=2 → slope of y4=2/2 =1

y4= x-1

4) shifted up (vertical translation) of 1 unit

y5= y+1 = 2x-1+1=2x

y5=2x

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d) The variance for the number of Chrome users is 3.2441.

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For each Internet browser user, there are only two possible outcomes. Either they use Chrome, or they do not. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

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In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

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This is P(X = 8).

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The expected number of Chrome users is 4.074.

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The variance for the number of Chrome users is 3.2441.

The standard deviation is the square root of the variance. So

$\sqrt{Var(X)} = \sqrt{3.2441} = 1.8011$

The standard deviation for the number of Chrome users is 1.8011.

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