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1 answer:
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Answer:
Slope: 1/10
y-intercept: (0,3)
Step-by-step explanation:
Slope intercept form: y = mx + b
Slope: 1/10
y-intercept: (0,3)
Answer:
ΔDEF is not a right triangle because no two sides are perpendicular.
Step-by-step explanation:
The coordinates of the vertices of ΔDEF are given to be D(-4,1), E(3,-1) and F(-1,-4).
Now length of DE is given by units
length of EF is given by units
and length of FD is given by units.
Therefore, 53 ≠ 25+34
Hence, the length of the sides does not support the Pythagoras theorem.
So, ΔDEF is not a right triangle because no two sides are perpendicular. (Answer)
Answer:
5.48% of the people in line waited for more than 28 minutes
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 waiting time of 20 minutes with a standard deviation of 5 minutes.
This means that
What percentage of the people in line waited for more than 28 minutes?
The proportion is 1 subtracted by the p-value of Z when X = 28. So
has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
As a percentage:
0.0548*100% = 5.48%
5.48% of the people in line waited for more than 28 minutes