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il63 [147K]
3 years ago
12

Point P(-5,2) is translated using the rule (x + 3, y - 1) What is the x - coordinate of P'​

Mathematics
2 answers:
expeople1 [14]3 years ago
7 0

Answer:

(-5 2) = (x + 3, y - 1) (since point p is translated using the rule (x + 3, y - 1))

Comparing each axis,

-5 = x + 3

2 = y - 1

so for x axis:

x = -5 - 3

x = -8

Also, for y axis:

y = 2 + 1

y = 3.

Brums [2.3K]3 years ago
4 0

Answer:

-2

Step-by-step explanation:

Since we are adding 3 to the x-coordinate and subtracting 1 from the y-coordinate, (-5, 2) becomes (-2, 1).

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A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What pe
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Answer:

(a) 5.48%

(b) 17.82 years

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Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

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For x = 16

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Probability value from Z-Table:

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Converting to percentage = 0.054799 × 100

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Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

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Cross Multiply

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5.815 = x - 12

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z = 10 - 12/2.5

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Probability value from Z-Table:

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Converting to percentage

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The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

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