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2 years ago

On the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH

Mathematics

1 answer:

Kipish [7]2 years ago

6 0

The equation y = 3x - 2 is a linear equation

Points (0,2), (1,1) and (2,4) are on the line y = 3x - 2

<h3>How to determine the points?</h3>

The rule is given as:

y = 3x - 2

Set x = 0

y = 3(0)- 2 = -2

Set x =1

y = 3(1)- 2 = 1

Set x = 2

y = 3(2)- 2 = 4

The above means that (0,2), (1,1) and (2,4) are on the line y = 3x - 2

See attachment for the graph of the line y = 3x - 2

Read more about linear equations at:

brainly.com/question/1884491

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Answer:

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$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{210-260}{35/\sqrt{49} } =-10$

From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001

b) For x > 205:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{205-260}{35/\sqrt{49} } =-11$

For x < 215:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{215-260}{35/\sqrt{49} } =-9$

P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009

c) For x < 200:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{200-260}{35/\sqrt{49} } =-12$

From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001

d) For x > 222:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{222-260}{35/\sqrt{49} } =-7.6$

From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999

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