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Artist 52 [7]
2 years ago
10

Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard devi

ation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.084°C.
P(Z>-0.084)
Mathematics
1 answer:
kolezko [41]2 years ago
8 0

Answer:

0.53347

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = -0.084 °C

μ is the population mean = 0 °C

σ is the population standard deviation = 1°C

Z score =x - μ/σ

= -0.084 - 0/1

= -0.084

Probability value from Z-Table:

P(x<-0.084) = 0.46653

P(x>-0.084) = 1 - P(x<-0.084) = 0.53347

The probability of obtaining a reading greater than -0.084°C = P(x > -0.084) =

is 0.53347

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Since both equations equal y, set the equations equal to each other and solve for x.

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Which value of x makes the equation -5x-(-7-4x) =-2(3x-4 true?
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Answer:

x = 1/5

Step-by-step explanation:

Step 1: Write equation

-5x - (-7 - 4x) = -2(3x - 4)

Step 2: Solve for <em>x</em>

  1. <u>Distribute:</u> -5x + 7 + 4x = -6x + 8
  2. <u>Combine like terms:</u> -x + 7 = -6x + 8
  3. <u>Add 6x to both sides:</u> 5x + 7 = 8
  4. <u>Subtract 7 on both sides:</u> 5x = 1
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Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)

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34/5 = 34/5

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3 years ago
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