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bossybaby12
04.07.2020 •
Mathematics
A manufacturer is concerned over the diameter of rubber balls being produced. Too large and they don’t work for certain applications. Too small and they are subject to little children accidentally choking on them. If the balls are normally distributed with a mean diameter of 1.45 and a standard deviation of .08, what is the value of c , such that 98% of the balls fall between the limits of 1.45 +/- c?
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Ответ:
c = 0.1864
Step-by-step explanation:
To find c, we need to find the z-score where:
P(-z<Z<z) = 98%
Based on the properties of the normal distribution we can said that
P(-z<Z<z) = 98% is equal to:
2*P(Z>z) = 2% or P(Z>z)= 1%
So, using the standard normal table, the z score is 2.33
Then, we can calculated the value of c as:
Where s is the standard deviation and z is the z-score. Replacing the values, we get:
c = 2.33*0.08
c = 0.1864
Ответ:
The graph is a function
General Formulas and Concepts:
Algebra I
Vertical Line Test - each x-value must have its own y-valueStep-by-step explanation:
When we apply the Vertical Line Test to the parabola in the graph, we see that it passes it. Therefore, the graph shown is a function.