Answer: If X = 5, z=<u>-3</u>
If X = 37, z= <u>3.4</u>
Step-by-step explanation:
We know that the formula to find the z-score for any random variable x is given by :-
, where = Population mean
= Population standard deviation.
As per given , we have
Then , the z-score for x =5
i.e. If X = 5, z=<u>-3</u>
When x =37,then
i.e. If X = 37, z= <u>3.4</u>
Step-by-step explanation:
Let the first angle be degrees
Let the second angle be degrees
Let the third angle be degrees
It is given that sum of angles is degrees.
so, ...(i)
It is given that sum of the measures of the second and third angles is two times the measure of the first angle.
...(ii)
It is given that the third angle is 26 more than the second.
...(iii)
using (ii) and (iii),
using (i),(ii) and (iii),