Answer:
62.73%
Step-by-step explanation:
The mean of the data is 15 and the standard deviation is 0.2. The range of data we want is 14.7 - 15.1. We need to change the range into mean +/- SD. The bottom range is 14.7, its lower than the mean(15) by 0.3, so it's mean - 1.5SD. The top limit is 15.1 which higher than 15 by 0.1, so it's mean + 0.5 SD.
The range of data we want is -1.5 SD to + 0.5 SD
The z-score for -1.5 is 0.06681 and the z-score for +0.5 SD is 0.69416. The proportion will be 0.69416-0.06681 =0.62735= 62.73%
Answer:
Unable to be determined.
Step-by-step explanation:
AA postulate : 2 corresponding angles that are congruent.
SSS theorem : 3 sides of a triangle that are equal to another triangle's 3 sides.
SAS postulate: 2 sides and their included angle are congruent to another triangle's 2 sides and their included angle.
This would seem to follow the SAS postulate at first, but the angle we are provided is not the included angle of the sides. In triangle ABC, we are analyzing lines AB and AC. Their included angle is A, but we are given the measure for angle B.
Same with DEF; we analyze DE and DF, who share angle A, but we are given angle E as a measure.
Therefore, we cannot determine if the triangles are similar or not.
Answer:-4
Step-by-step explanation: 2 x 4 = 8 so 2 x -4 = -8