Jacqueline’s girl scout troop is selling cookies. This year the cost of getting 4 boxes is $18. This is 12.5% more than the pric
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Answer:
Segments DE and BC have equal slopes, showing that segments DE and BC are parallel
Step-by-step explanation:
Here we have the coordinates as follows
The coordinates of A is (4, 6)
The coordinates of B is (2, -2)
The coordinates of C is (-2, -4)
Therefore, the coordinates of D the midpoint AB is ((4 + 2)/2, (6 - 2)/2) which gives;
The coordinates of D is (3, 2)
Similarly, the coordinates of E the midpoint AC is ((4 - 2)/2, (6 - 4)/2) which gives;
The coordinates of E is (1, 1)
To prove that segment DE is parallel to segment BC, e show that the slopes of the two segments are equal as follows;
Therefore, the slopes of segments DE and BC are equal, which shows that segment DE is parallel to BC.
Answer:
The minimum score required for an A grade is 88.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the minimum score required for an A grade.
Top 12%, which is at least the 100-12 = 88th percentile, which is the value of X when Z has a pvalue of 0.88. So it is X when Z = 1.175.
Rounding to the nearest whole number
The minimum score required for an A grade is 88.