Equation of a line using 2 points. first find the slope
m= (y2-y1)/(x2-x1)= (3-3)/(-4-6)= 0/-10 = 0
m=0
using y-y1=m(x-x1)
we get
y-3=0(x-6)
y-3=0
y=3 is the equation of the line
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.
Step-by-step explanation:
5^2 + b^2 = 9^2
25 + b^2 = 81
b^2 = 56
square root both sides and b = 7.48 cm
Answer:
C
Step-by-step explanation:
x² - 6x + 13 = 0
x² - 2(x)(3) + 3² - 3² + 13 = 0
(x - 3)² = -4