Answer:
The top 20% of the students will score at least 2.1 points above the mean.
Step-by-step explanation:
When the distribution is normal, we use 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.
The mean of a certain test is 14 and the standard deviation is 2.5.
This means that 
The top 20% of the students will score how many points above the mean
Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.
Their score is:
16.1 - 14 = 2.1
The top 20% of the students will score at least 2.1 points above the mean.
If angle ec is a bisector then angles Bec and ced are the same making them both 4x+1. we know a line segment equals 180°. so if we take the 11x-12 and add it to 2(4x+1) we end up with 19x-10=180. you add 10 to both sides and get 19x=190 then you divide by both sides. you'll end up with x=10. you plug In the 10 with aeb and aec and add them together to get 139°. if you're looking for the equation, it's 15x-11.
Answer:
-2
Step-by-step explanation:
First, let's put this in slope-intercept form:
-5y-3x=10
5y = -3x - 10
y = (-3/5)x - 2
The y-intercept is -2.
Answer:
Step-by-step explanation:
First off, <em>B</em> is zero, so there is no <em>phase shift</em>, meaning that the vertex stays on the y-axis. Next, <em>A</em> is negative, so the parabola opens down, and whenever you have a parabola opening down, it does so at maximum. Finally, <em>C</em> represents our y-intercept, or in this case, our <em>vertical shift</em>. Our y-intercept is (0, −1), and so as our vertex, hence our answer.
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