Describe the steps you would follow to write a two-step inequality you can use to solve a real-world problem
1 answer:
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The perimeter of a figure is the distance all the way around the figure.
Area is how many units takes up the figure.
Example of perimeter: (attached)
Example of area: (attached, with squares in square)
In this case, the <em>area depends on the perimeter</em>. Count two sides of the rectangle. (Horizontal, and vertically.) Then write what the perimeter is for that. <u>Multiply</u> the two numbers and that will be your area.
Vertically, it is 11. Horizontally, it is 9. I would like you to try to see what to do next, if not, comment!
I hope this helped!
Answer:
11.51% probability that the sample average will be less than 182
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
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.
Central Limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that the sample average will be less than 182
This is the pvalue of Z when X = 182. So
By the Central Limit Theorem
has a pvalue of 0.1151
11.51% probability that the sample average will be less than 182