Answer: False.
Step-by-step explanation:
For any random variable x,
Formula to calculate the z-score :
, where = Mean
= Standard deviation
Let x be the data point has a corresponding z-score of -1.5.
Then , we have
i.e. x is one and a half standard deviations below the mean value.
( one and a half = )
Therefore , the given statement is false.
Answer:
m∠ABC = m∠BED; Corresponding Angles Theorem
Step-by-step explanation:
<u>Given:</u> line BC is parallel to line ED m∠ABC = 70° m∠CED = 30°
<u>Prove:</u> m∠BEC = 40°
Statement Justification
1. line BC is parallel to line ED - Given
2. m∠ABC = 70° - Given
3. m∠CED = 30° - Given
4. m∠BEC + m∠CED = m∠BED - Angle Addition Postulate
5. m∠ABC = m∠BED - Corresponding Angles Theorem
6. m∠BEC + 30° = 70° - Substitution Property of Equality
7. m∠BEC = 40° Subtraction Property of Equality
