<span>12x +3y = 12
y = -4x +5

We can convert the first equation to the same form as the second (y=mx+b, or slope-intercept).

12x +3y = 12
3y = -12x +12
y = -4x +4

Comparing the simplified first equation y = -4x +4 to the second equation y = -4x + 5, we see that both have the same slope (m = -4), but different y-intercepts (b = 4, b = 5). This means they are parallel lines, or an inconsistent system. There are no solutions.</span>

5 0

3 years ago

The answer to #1 a and if you can show the work

mojhsa [17]

X and 67° are supplementary (they equal 180) so to find x you do 180-67 which equals 113. So x=113°

6 0

2 years ago

Read 2 more answers

Three students were applying to the same graduate school. They came from schools with different grading systems. Student GPA Sch

stiv31 [10]

Answer:

Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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.

In this question:

Whichever student's GPA had the higher z-score had the best GPA compared to other students.

Thuy 2.5 3.2 0.8

This means that $X = 2.5, \mu = 3.2, \sigma = 0.8$