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natka813 [3]
3 years ago
12

Suppose ACT Science scores are normally distributed with a mean of 20.8 and a standard deviation of 5.2. A university plans to s

end letters of recognition to students whose scores are in the top 12%. What is the minimum score required for a letter of recognition? Round your answer to the nearest tenth, if necessary.
Mathematics
2 answers:
erik [133]3 years ago
3 0

Answer:

20.854

Step-by-step explanation:

Pachacha [2.7K]3 years ago
3 0

Answer:

Hello,

Answer 26.9

Step-by-step explanation:

z=\dfrac{x-m}{\sigma} \\m=20.8\\\sigma=5.2\\\\p(z>?)\geq 0.12\ \longrightarrow 1-p(z\leq ?)=(1-0.12))\\\\Using\ table\ of\ normal\ reduce\ with\ 4 \decimals : ?=1.175\\\\x=1.175*5.2+20.8=26.91\approx{26.9}

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