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Bogdan [553]
3 years ago
11

The mean height of a Clydesdale horse is 72 inches with a standard deviation of 1.2 inches. What is the probability that a Clyde

sdale is greater than 75 inches tall?
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:

0.0062

Step-by-step explanation:

Given that:

Mean (μ) = 72 inches, Standard deviation (σ) = 1.2 inches.

The z score is a measure in statistics is used to determine by how many standard deviation the raw score is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean, the z score is negative.

The z score is given as:

z=\frac{x-\mu}{\sigma}

For Clydesdale is greater than 75 inches tall, x = 75 inches, the z score is:

z=\frac{x-\mu}{\sigma}=\frac{75-72}{1.2} =2.5

The probability that a Clydesdale is greater than 75 inches tall = P(X > 75) = P(Z > 2.5) = 1 - P(Z < 2.5) = 1 - 0.9938 = 0.0062 = 0.62%

The probability that a Clydesdale is greater than 75 inches tall is 0.62%

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What is the awnser to this question
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Step-by-step explanation:

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where

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∵ f(x) = a(x - h)² + k

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∴ a = 1 , h = 2 , k = 1

∵ The axis of symmetry of f(x) is a vertical line passes through (h , 0)

∴ The axis of symmetry of f(x) is a vertical line passes through (2 , 0)

∵ Any vertical line is parallel to y-axis

∴ The axis of symmetry of f(x) is a vertical line parallel to y-axis and

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The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis

   

Learn more:

You can learn more about quadratic function in brainly.com/question/9390381

#LearnwithBrainly

6 0
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Answer:

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