Answer:
99.7% of the distribution will be between 600 hours and 900 hours.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 750
Standard deviation = 50
What percent of the distribution will be between 600 hours and 900 hours?
600 = 750 - 3*50
600 is 3 standard deviations below the mean
900 = 750 + 3*50
900 is 3 standard deviations above the mean
By the Empirical Rule, 99.7% of the distribution will be between 600 hours and 900 hours.
Domain is basically all of x values.
Range is basically all of y values.
That means if you want to find the domain, you can check from the coordinate-x and if you want to find the range, you can check from the coordinate-y.
As you can see in the graph, there are the colored and non-colored dot. Both present the inequality symbol. If it's a colored circle/dot then it's either ≤ or ≥ but if it is non-colored dot then it's either > or <
From the graph, we can say that the minimum value is at -4 when x = -5
and there is no maximum value considering the x = 1 then y = 7 isn't counted due to being uncolored dot.
As mentioned, Domain is the set of all x values. We check the coordinate-x plane and notice that it begins from x = -5 to x = 1. That means it is -5≤x<1
Remember that the x = 1 one is uncolored so it's either > or < but it is < because 1 has more value than -5. Now we know the domain.
About range, we check coordinate-y plane. It starts from -4 to 7. Therefore, the range is -4≤y<7.
Therefore, <em>Domain is -5≤x<1 and Range is -4≤y<7</em>
Answer:179.991
Step-by-step explanation:
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