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3 years ago

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45% of Ms. Stacey's students will go on a field trip to the museum. If 90 of Ms. Stacey's students went to the museum field trip

how many students does she have overall? A. 40.5 B. 50 C. 200

1 answer:

g100num [7]3 years ago

4 0

Answer:

c

Step-by-step explanation:

Number of students = number of students that went to the museum / percentage of students that went to the museum

90 / 0.45 = 200 students

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Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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$\mu = 999, \sigma = 199$

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This is X when Z has a pvalue of 0.62. So X when Z = 0.305.

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Rounding to the nearest whole number.

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The equivalent score is X when Z = 0.305.

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B. If a student gets an SAT score of 1563, find the equivalent ACT score

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$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1563 - 999}{199}$

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