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Answer:
-1
Step-by-step explanation:
We can find the slope by the change in y over the change in x
change in y = down 3 which is -3
change in x = to the right 3 = 3
change in y/ change in x = (-3/3) =-1
The first standard deviation covers about 68% of the distribution in a normal curve. (34% higher, 34% lower than the mean). the second standard deviation covers 28% (14% between 1st and 2nd SD above the mean, 14% between 1st and 2nd SD below the mean). In our case
1 Standard deviation = 27 hours (we will approximate to 25 hours)
Mean = 2,000
This means that 34% of the distribution is between 1975 and 2000 hours (within 1 standard deviation below the mean)
2,000- 2,050 covers the range within 50 hours above the mean.
50 hours is roughly 2 standard deviations. The second standard deviation (standard deviation between 1 and 2) covers around 14% on each side of the distribution.
50 hours is roughly 2 standard deviations, which means we add 34% + 14% = 48%.
The range of 1,975 - 2,050 hours covers 34% of the distribution below the mean and 48% of the distribution above the mean.
This means that the probability that the light bulb will last somewhere within this range is 34% + 48% = 82%
The closest answer is 79%. The difference can be explained by the fact that, for simplicity, we approximated the standard deviation to be ~25 hours instead of the real standard deviation of 27 hours.
Answer: 43/14
Step-by-step explanation: You take you 3 and times it by 14 and + 1 because the equation is saying 14/14 3 times plus the 1/14,
So 3 times 14=42
42+1=43 and then you take the 43 and put it over the 14 so now you have your answer: 43/14
