Answer:
Due to the higher z-score, Jane did better in class.
Step-by-step explanation:
Z-score:
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 question:
Whoever's grade had the better z-score did better in class.
Mary's:
Mean of 85, standard deviation of 5, grade of 88. This means that
. So



Jane's
Mean of 80, standard deviation of 10, grade of 88. This means that
. So



Due to the higher z-score, Jane did better in class.
Sent a picture of the solution to the problem (s).
It will take one person for the venues to equal the same amount. This is simply done by multiplying 1 x the per person amount then adding it to the reservation cost.
Answer:
44
Step-by-step explanation:
6 times 3 is 18 so.. 18 minus 69 would be -36 plus 12 is a positive 1 times 14 would be 14 minus 7 would be 7 7 times 27 would 38 plus 7 would be 45 minus one would be 44
Answer:
See below
Step-by-step explanation:
I assume you mean 
The equation is already in vertex form
where
affects how "fat" or "skinny" the parabola is and
is the vertex. Therefore, the vertex is
.
The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as
for a parabola with a vertical axis. Hence, the axis of symmetry is
.
The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is
.
The interval where the function is decreasing is 
The interval where the function is increasing is