24 tenths+9 tenths+94 hundredths common core, showing work please
2 answers:
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Using the normal distribution, it is found that 1851 people would have an IQ less than 115.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:
Z = 1
Z = 1 has a p-value of 0.8413.
Out of 2200 people:
0.8413 x 2200 = 1851.
More can be learned about the normal distribution at brainly.com/question/27643290
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ANSWER
The correct answer is C .
<u>EXPLANATION</u>
We have
and
.
We solve the two equation simultaneously by elimination method. We need to be smart and eliminate y, since we are looking for .
We first multiply equation (2) by 2
.
We add equation (3) and (1).
.
Dividing through by 6 gives
.