Mathematics, 20.09.2019 02:30 miathegeek97

The scores of a high school entrance exam are approximately normally distributed with a given mean mc023-1.jpg = 82.4 and standard deviation mc023-2.jpg = 3.3. what percentage of the scores are between 75.8 and 89?

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The score corresponding to the random variable x is
z = (x - μ)/σ

given:
μ = 82.4, population mean
σ = 3.3, populaton standard deviation.

we want to determine the percentage of scores between 75.8 and 89.
for x₁ = 75..8, the z-score is
z₁ = (75.8 - 82.4)/3.3 = -2 (2 std. deviations to the left of the mean)

for x₂ = 89, the z-score is
z₂ = (89 - 82.4)/3.3 = 2 (2 std. deviations to the right of the mean)

from standard tables,
p(z < = z1) = 0.02275
p(z < = 2) = 0.9772

therefore,
p(75. < x < 89) = 0.9772 - 0.02275 = 0.9544 = 95.4%
this result is correct, because the bell curve contains about 95% of the total area within 2 standard deviatins to the lest and to the right of the mean.

answer: 95.4%

Answer from: Quest

image result for what is another name for consecutive interior angles?

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation:

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explanation:

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