Answer:
-20x.....
Step-by-step explanation:
–4(5x)
-20x
3/8 = 0,375
5/12 = 0,416
5/12 is bigger
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
A parallelogram's definition is a quadrilateral with two sets of parallel lines. This means lines MA and TH are parallel, and AT and MH are parallel. MA's slope is (2-(-3)/(-4-(-1)), or -5/3. TH's slope is (3-8)/(9-6) or -5/3 too. This means they are parallel, as they have the same slope. Do the same with AT and MH, and you get their slopes as 3/5 and 3/5. This means that the whole shape is a quadrilateral.
For the 2nd part, rectangles have sides that meet at right angles, which means that they are perpendicular, and perpendicular lines have slopes that are the negative reciprocals of each other. -5/3 and 3/5 are negative reciprocals of each other, so therefore it is a rectangle.
