The set of life spans of an appliance is normally distributed with a mean Mu = 48 months and a standard deviation Sigma = 8 mont
1 answer:
To solve the problem we must know about Z-Score.
<h3>What is Z-score?</h3>A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
The life span of an appliance that has a z-score of –3 is 24 months.
Given to us
- Mean, μ = 48 months,
- standard deviation, σ = 8 months,
- Z-Score = -3
The life span of the appliance can be calculated using the Z-score formula,
Substitute the values,
Hence, the life span of an appliance that has a z-score of –3 is 24 months.
Learn more about Z-score:
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Answer:
Equation:
Step-by-step explanation:
By definition, the perimeter of a figure can be calculated by adding the lenghts of its sides.
Knowing this, you can write the following equation:
<em> [Equation 1]</em>
According to the data given in the exercise, the perimeter in feet of the fighter is:
Therefore, you can substitute this values into<em> [Equation 1]:</em>
Finally, you must solve for "x" in order to find its value. This is:
The area of square LMNP is 50
<h3>What is a circle?</h3>A circle is the locus of points equidistant from a fixed point which is known as the center of the circle.
A circle is defined if the center and the radius is known.
Analysis:
Perimeter of a circle = 2πr
Given perimeter = 10π
2πr = 10π
2r = 10
r = 10/2 = 5
r = MO
so the diagonal of the square is actually the diameter of the circle = 5+5 = 10
To find the side, x of the square the diagonal and the sides form a right-angled triangle, by Pythagoras, =
+
2 = 100
= 100/2 = 50
Also area of square is = 50
In conclusion, the area of square LMNP is 50
Learn more about circles: brainly.com/question/24375372
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