Is 11.5 rational or irrational
2 answers:
Answer:
11.5 is a rational number
Step-by-step explanation:
First let's see the definition of rational and irrational.
Rational number is a number that can be written in the form of , where q≠0.
There rational numbers have the terminating or non terminating decimals with repeating the pattern.
For example:
You can see that 3 is repeating non terminating decimals.
Irrational number is a number with non repeating decimals.
For example:
The given number is 11.5 which is terminating decimal number.
Therefore, 11.5 is a rational number.
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Answer:
A score of 150.25 is necessary to reach the 75th percentile.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.
This means that
What score is necessary to reach the 75th percentile?
This is X when Z has a pvalue of 0.75, so X when Z = 0.675.
A score of 150.25 is necessary to reach the 75th percentile.