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Yuki888 [10]
2 years ago
15

What is the intersection of the lines given by y=-3x+5 and y=2x-6? Express your answer as an ordered pair.

Mathematics
1 answer:
shepuryov [24]2 years ago
5 0
Since both equations are set = y you can set them equal to each other and solve.
-3x + 5 = 2x -6
Subtract 2x from both sides.
-5x + 5 = -6
Subtract 5 from both sides
-5x = -11
Divide both sides by-5
x = 11/5
Substitute 11/5 in for x in either equation and solve for y.
y = -3(11/5) + 5
y = -33/5 + 5
y = -33/5 + 25/5
y = -8/5
(11/5, -8/5)
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\mathbb P(X>600)=\mathbb P\left(\dfrac{X-510}{85}>\dfrac{600-510}{85}\right)=\mathbb P(Z>1.059)\approx0.145

So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see 0.145\times7500\approx10.86 scores above 600.
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3 years ago
Joe buys 2 shirts for $18.50 each and a belt for $12.36. He pays tax at a rate of 5.5% on his purchase. How much tax does he pay
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Answer:37$ for the shirt Sales tax: $2.04

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Total Cost/Price including ST: $39.04

for the belt

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■ Total Cost/Price including ST: $13.04

Step-by-step explanation:

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3 years ago
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Find the angle between the given vectors to the nearest tenth of a
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Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

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U.V = (2x13) + (-8×9)

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|U| = sqrt ( 13^2 + 8^2)

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|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

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Answer: -6 Your welcome

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