Answer:
y = -1/3x + 1/3
Step-by-step explanation:
x+3y=2
3y = 2 - x
y = 2/3 - 1/3x
y = -1/3x +2/3
the slope is -1/3 and the equation that is parallel will have the same slope also
y = mx + b
y = -1/3x + b
0 = -1/3(1) + b
0 = -1/3 + b
1/3 = b
y = -1/3x + 1/3
<span>87 less than the quotient of an unknown number and 43 is -75
Converting that to mathematical equation:
87 - (x / 43) = -75
Evaluating the equation, we can the value of x.
87 - (x/43) = -75
-x/43 = -75 - 87
-x/43 = -162
-x = -6966
x = 6966</span>
Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have
. So



Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have
.



Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have
.



Due to the higher Z-score, Demetria should be offered the job.
Circle=27, triangle=18, and square=26
Start with the second question. If you divide 36 by 2, you get 18 which is the value for the triangle. Now since you know the value of the triange you subtract it from 45. (45-18=27) 27 is the value of the circle. Lastly, subtract 27 from 53 to get the value of the square (53-27=26). Hope this helps!