Using z-scores, it is found that the value of z is z = 1.96.
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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
150 and the unknown angle next to it equal 180.
180 - 150= unknown angle
30 degrees= unknown angle
Then the triangle also equals 180 so we add the angles and solve for x
3x + 2x + 30= 180
5x + 30= 180
5x= 150
x= 30
3x= 3(30)= 90 degrees
2x= 2(30)= 60 degrees
Answer:
ANSWER
Step-by-step explanation: