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Anastaziya [24]
3 years ago
10

URGENT graph the image of the given triangle after the transformation that has the rule (x, y) 》(x, -y)

Mathematics
2 answers:
patriot [66]3 years ago
8 0

Answer:

The required graph of the image is shown below

Step-by-step explanation:

Consider the provided figure.

The coordinates for the given triangle are:

(2,7), (4,-3) and (-5,-2)

Now we need to transformation that has the rule (x, y) 》(x, -y)

So change the sign of y coordinate by using the above rule:

(2,-7), (4,3) and (-5,2)

Now plot the points and join them.

The required graph of the image is shown below

crimeas [40]3 years ago
3 0

Answer:

See Below

Step-by-step explanation:

That rule is a transformation across the x-axys.

Assigne a letter to each point:

A = (2, 7) => A' = (2, -7)

B = (-5, -2) => B' = (-5, 2)

C = (4, -3) => C' = (4, 3)

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We are throwing darts on a disk-shaped board of radius 5. We assume that the proposition of the dart is a uniformly chosen point
Vlad1618 [11]

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the probability that we hit the bullseye at least 100 times is 0.0113

Step-by-step explanation:

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Binomial distribution

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⇒ πR₁² / πR₂²

given that; disk-shaped board of radius R² = 5, disk-shaped bullseye with radius R₁ = 1

so we substitute

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Since we have to hit the disk 2000 times, we represent the number of times the smaller disk ( BULLSEYE ) will be hit by X.

so

X ~ Bin( 2000, 0.04 )

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np = 2000 × 0.04 = 80

Using central limit theorem;

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we substitute

X ~ N( 80, 80( 1 - 0.04 ) )

X ~ N( 80, 80( 0.96 ) )

X ~ N( 80, 76.8 )

So, the probability that we hit the bullseye at least 100 times, P( X ≥ 100 ) will be;

we covert to standard normal variable

⇒ P( X ≥  \frac{100-80}{\sqrt{76.8} } )

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P( X ≥ 2.28217 ) = 0.0113

Therefore, the probability that we hit the bullseye at least 100 times is 0.0113

3 0
3 years ago
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