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
Answer:
111 is a great place to be your friend
Step-by-step explanation:
I am not it to 3rd or 3rd to be friends
To write 8.57 as a fraction you have to write 8.57 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
8.57 = 8.57/1 = 85.7/10 = 857/100
And finally we have:
8.57 as a fraction equals 857/100
Answer:
68 1/3, 111 2/3
Step-by-step explanation:
The sum of two supplementary angles is 180°, so ...
(x +10) +(2x -5) = 180
3x +5 = 180 . . . . . collect terms
x +5/3 = 60 . . . . . divide by 3
x = 58 1/3 . . . . . . . subtract 5/3
The first angle is ...
x +10 = 58 1/3 +10 = 68 1/3
The second angle is ...
2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3
The angles measure 68 1/3 and 111 2/3.
