Help find the value of x
2 answers:
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Answer: OPTION B
Step-by-step explanation:
The equation of a line that passes through the origin is the following:
Where "m" is the slope of the line.
By definition, Proportional relationships have the following form:
Where "k" is the Constant of proportionality.
Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.
Therefore, based on the explained above, you can conclude that the option that shows a function that represents a Proportional relationship is the Option B.
Then, this is:
Answer:
The inter-decile range of IQ is 40.96.
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this question, we have that:
First decile:
100/10 = 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.
Ninth decile:
9*(100/10) = 90th percentile, which is X when Z has a pvalue of 0.9. So it is X when Z = 1.28.
Interdecile range:
120.48 - 79.52 = 40.96
The inter-decile range of IQ is 40.96.