Which of the x-values are solutions to the following inequality
1 answer:
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Answer:
Approximately 10.2 inches
Step-by-step explanation:
The area of a square is given by the formula:
Where A is the area and s is the side length.
Since we already know that the area A is 105, substitute:
Now, take the square root of both sides:
Use a calculator:
So, the side length is approximately 10.2 inches.
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the Shear strength of a population, and for this case we know the distribution for X is given by:
Where and
And let represent the sample mean, the distribution for the sample mean is given by:
On this case
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability on this way:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.