Answer:
Distribute -4 to get -8x + 4 > 5 - 3x.
Step-by-step explanation:
Order of operations
Answer: -3/2
Step-by-step explanation: the slope is calculated by the formula:
(y2 - y1)/(x2-x1)
So, (-1-8)/(-3-(-9)) = -9/6 = -3/2
4 trillion pounds.
1 gigawatt-hour is equal to 1,000,000 kilowatt-hours.
Out of our 4,000,000 gigawatt-hours, 50% of it comes from coal; this is 2,000,000 gigawatt-hours.
2,000,000(1,000,000) = 2,000,000,000,000 (2 trillion) kilowatt-hours.
Since each kilowatt-hour is 2 lbs of carbon dioxide, 2 trillion * 2 = 4 trillion lbs of carbon dioxide.
Answer:
15, 18, 21
Step-by-step explanation:
3, 6, 9, 12, 15, 18, 21...
3 x 5 = 15
3 x 6 = 18
3 x 7 = 21
Hope this helps! :)
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