Answer:
34% of lightbulb replacement requests numbering between 47 and 52
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 = 52
Standard deviation = 5
Between 47 and 52:
52 is the mean and 47 is one standard deviation below the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.
Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).
So
34% of lightbulb replacement requests numbering between 47 and 52
it is the same denominator therefore only the numerators are added and the sign is maintained. The answer is -12/9 but it can be reduced to -4/3.
Answer:
75cm^2
Step-by-step explanation:
When you say a rectangular prism, it means it has the base has 4 sides of which opposite sides are equal as a rectangle. This sides substends so we have a total of 6 surfaces in this prism.
This 6 surfaces has 3 surface area the same.
The surface area = sum of area of all faces.
325= 50 + 50 + 37.5 + 37.5 + 2x; where X is the area of the surface unknown.
325= 100+ 75 + 2x
325-175= 150
150= 2x
X= 150/ 2 = 75 cm^2
