X+y=10, y+z=14,x+y+z=18. Find the values of x, y, and z
2 answers:
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Answer:
The numerical limits for a D grade is between 57 and 64.
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.
In this question:
D: Scores below the top 80% and above the bottom 7%
Between the 7th and the 100 - 80 = 20th percentile.
7th percentile:
X when Z has a pvalue of 0.07. So X when Z = -1.475.
So 57
20th percentile:
X when Z has a pvalue of 0.2. So X when Z = -0.84.
So 64
The numerical limits for a D grade is between 57 and 64.
Solve the second equation for 2y.
.. 2y = 9 -x
Substitute that into the first equation.
.. 3x -(9 -x) = 11
.. 4x -9 = 11
.. 4x = 20
.. x = 5
Using our expression for 2y above,
.. 2y = 9 - 5
.. y = 4/2 = 2
The solution is (x, y) = (5, 2).
.. 2y = 9 -x
Substitute that into the first equation.
.. 3x -(9 -x) = 11
.. 4x -9 = 11
.. 4x = 20
.. x = 5
Using our expression for 2y above,
.. 2y = 9 - 5
.. y = 4/2 = 2
The solution is (x, y) = (5, 2).
Answer:
See Below.
Step-by-step explanation:
Remember that:
- If c² > a² + b², then we have an obtuse triangle.
- If c² < a² + b², then we have an acute triangle.
- And if c² = a² + b², then we have a right triangle.
Where c is the longest side, and a and b are the two remaining sides.
(16 is less than 9 + 9 or 18.)
(25 is equal to 9 + 16 = 25.)