Answer: z= -2.35
Step-by-step explanation:
When the population variation is know, then we calculate the z-statistic.
Formula to calculate the z-test statistic is given by :-
where , n= sample size
= sample mean
= Population mean
=Population standard deviation.
As per given we have,
n= 270
Then, z-statistic will be
(Substitute all the values )
Hence, the value of the test statistic= z= -2.35
Step-by-step explanation:
taking common
F ` ( x ) = ( x² )` · e^(5x) + x² · ( e^(5x) )` =
= 2 x · e^(5x) + 5 e^(5x) · x² =
= x e^(5x) ( 2 + 5 x )
f `` ( x ) = ( 2 x e^(5x) + 5 x² e^(5x) ) ` =
= ( 2 x ) ˙e^(5x) + 2 x ( e^(5x) )` + ( 5 x² ) ` · e^(5x) + ( e^(5x)) ` · 5 x² =
= 2 · e^(5x) + 10 x · e^(5x) + 10 x · e^(5x) + 25 x² · e^(5x) =
= e^(5x) · ( 2 + 20 x + 25 x² )
The answer in standard form is (x+5/2)^2+(y-2)^2=1
Answer:
2 angles are shown one angle is 56 degrees and the other is 34 degrees
Step-by-step exp
complementary angle=90 degree
56+34=90
