Points A and B are on the different sides of a line 1, the distance between point A and the line lis 10 in, the distance between
point B and line l is 4 in. What is the distance between the midpoint O of the segment AB and the line l?
1 answer:
Answer: Distance between O and the line 1 is 3 inches.
Explanation:
Since we have given that
Distance between point A and the line 1 = 10 inches
Distance between point B and the line 1 = 4 inches
Total length of segment AB is given by
Since O is midpoint of the line segment AB.
so, AO is given by
Now, Distance between O and the line 1 is given by
Hence, Distance between O and the line 1 is 3 inches.
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Answer:
The price that is two standard deviations above the mean price is 4.90.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 3.22 and a standard deviation of 0.84.
This means that
Find the price that is two standard deviations above the mean price.
This is X when Z = 2. So
The price that is two standard deviations above the mean price is 4.90.
Answer:
1)
2)
3)
Step-by-step explanation:
Using negative exponent rule:
1) one -tenth of kilometer =.1 =
Using negative exponent rule:
2)
Using negative exponent rule:
3)