Answer:
2
Step-by-step explanation:
Allie answered 72% of the questions on her math test correctly. If she answered 18 questions correctly, how many questions were
1 answer:
Answer:
25 questions
Step-by-step explanation:
The answer to this question can be solved by setting up a proportion, or equivalent ratios (fractions). Since we know that 18 questions was equal to 72% correct on the test, we can set up a proportion to find the total number of questions:
, where 'x' represents the total number of questions (or 100%) of the questions on the test.
Cross-multiply and divide: 72x = 18(100) or 72x = 1800
Divide both sides by 72: 72x/72 = 1800/72
Solve for x: x = 25 questions
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Answer:
Both students scored in the top 10% of their classes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Top 10% = Above the 100 - 10 = 90th percentile.
The 90th percentile of scores is X when Z has a pvalue of 0.9, that is, Z = 1.28.
So, the student who had a z-score above 1.28 scored in the 90th percentile of their class.
In student A's class the mean was 78 and the standard deviation of 5. He scored 87.
We have that
Then
1.8 > 1.28, so student A scored in the top 10% of his/her class.
Student B's class the mean was 76 with a standard deviation of 4. Scored 87.
We have that
Then
2.75 > 1.28, so student B also scored in the top 10% of his/her class.
Both students scored in the top 10% of their classes.