So to solve your question, we can use this:
So then
If we use the above formulas then:
And for
We will get:
And to simplify
Since we already calculated the individual parts, not put them together, so:
Now we have to add the like terms which are -6w and 3w. And also 1 and -12.
Rearranging the terms, we get:
And
And also
So combining that, we get:
Which is your final answer :)
Answer: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Answer:
The interval that contains the middle 68% of the heights is from 52 inches to 60 inches.
Step-by-step explanation:
The empirical rule states that, for a normally distributed variable:
The middle 68% of the measures are within 1 standard deviation of the mean.
The middle 95% of the mesures are within 2 standard deviations of the mean.
The middle 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Normally distributed with mean 56 inches and standard deviation 4 inches.
So the interval that contains the middle 68% of the heights is from 52 inches to 60 inches.
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