one of the Interior angles of a triangle is equal to 30 degrees and one of the exterior angles is equal to 40 degrees find the r
2 answers:
Answer:
Remaining interior angles are 10 degree and 140 degree
Step-by-step explanation:
One of the exterior angles is equal to 40
Angles in a straight line is 180 degree.
The interior angle adjacent to the exterior angle is 180-40=140
Given: one of the Interior angles of a triangle is equal to 30 degrees
So two interior angles are 30 and 140 degrees
Sum of angles in a triangle is 180 degree
To find the remaining interior angle we subtract the two interior angles from 180 degree
Remaining interior angles are 10 degree and 140 degree
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Answer:
B.The score on Exam A is better, because the percentile for the Exam A score is higher.
Step-by-step explanation:
Problems of normally distributed samples can be solved using 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 problem, we have that:
Two exams. The exam that you did score better is the one in which you had a higher zscore.
The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.
This means that .
You scored 24 on Exam A. So
The composite score on Exam B is approximately normally distributed with mean 1031 and standard deviation 215.
This means that .
You scored 1167 on Exam B, s:
You had a better Z-score on exam A, so you did better on that exam.
The correct answer is:
B.The score on Exam A is better, because the percentile for the Exam A score is higher.
Answer:
There present ages are
Drex age = 17 years
Max age = 12 years
Step-by-step explanation:
Given as ,
The sum of age of Drex and Max = 29 years
And seven years ago Drex was twice as old as max
So , Let the Age of Drex = D and Max age = M
I.e (D - 7 ) = 2 (M - 7)
Or, D - 7 = 2M - 14
Or, 2M - D = 7
And Also D + M = 29
So , from both equations
(2M - D ) + (D + M) = 29 +7
Or, 3M = 36
I.e M = = 12 years
∴ The Age of Drex = 29 - M
The Age of Drex = 29 - 12 = 17 years
Hence there present ages are
The Age of Drex = 17 years
The Age of Max = 12 years Answer