Answer:
Enlargement by ratio of 3, shift 2 units right, shift 4 units down
Step-by-step explanation:
There isn't really a way how to do this step by step, its just common sense
Feel free to ask my questions in the comments
Using the Empirical Rule, the interval that contains 68% of the scores is [81.5, 90.5].
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
68% of the scores are within 1 standard deviation of the mean, hence the bounds of the interval are:
More can be learned about Empirical Rule at brainly.com/question/24537145
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Answer:
10724.29
Step-by-step explanation:
mean means average
so to find an average you add everything together then divide it by the amount of variables
m = (10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477)/7
m = 75070/7
m = 10724.2857143
m = 10724.29
Distance to the cabin is 'D' .
Distance = (speed) x (time)
Distance going = 30 H
Distance coming back = 36 (H - 1)
Distance is the same in both directions.
30H = 36(H - 1)
Eliminate parentheses: 30H = 36H - 36
Add 36 to each side: 30H + 36 = 36H
Subtract 30H from each side: 36 = 6H
Divide each side by 6 : 6 = H
It took 6 hours to go, 5 hours to come back,
and the trip was 180 miles each way.
6 x 30 = 180
5 x 36 = 180 yay !
Notice that 180 is the least common multiple (LCM)
of 30 and 36 . I'll bet that could have helped us if
we were all wide awake when we read the question.