Divide both sides of the inequality by 4
Move the constant to the right-hand side and change its sign
Calculate the difference
And we are done solving!!~
M∠GHI = 3x° and m∠LMN = 17x°. If ∠GHI and ∠LMN are supplementary, find the measure of each angle.
2 answers:
Answer:
The answers are:
m∠GHI=27
m∠LMN=153
Step-by-step explanation:
In order to determine the answer, we have to know about supplementary angles.
Two angles are supplementary when the sum of them is 180 degrees.
So, with this information, we can build an equation. This equation will be useful to determine the value of "x" variable. Then, with this value, we will determine the value of each angle.
m∠GHI+m∠LMN=3x+17x=180
Then, we can determine each angle:
m∠GHI=3*9=27
m∠LMN=17*9=153
Finally, the measure of each angle is:
m∠GHI=27
m∠LMN=153
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Using z-scores, it is found that the value of z is z = 1.96.
-----------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean and standard deviation
, is given by:
- It measures how many standard deviations the measure is from the mean.
- Each z-score has an associated p-value, which is the percentile.
- The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
- The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
- The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
- Thus, the value of Z is 1.96.
A similar problem is given at brainly.com/question/16965597