Answer: (29.35, 40.95)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-

, where
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
As per given , we have


n= 37
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, the confidence interval for the population mean will be :





Hence, a 95% confidence interval for the population mean = (29.35, 40.95)
Answer:
14/8 or 14:8
Step-by-step explanation:
blue:brown=14:8
Solution :
From the figure,
The coordinates of --
A = (-5,-3)
B = (-6,-1)
C = (-3,-1)
D = (-2,-3)
When it undergoes reflection about x-axis, we have the coordinates of the quadrilateral as
A' = (-5,+3)
B' = (-6,+1)
C' = (-3,+1)
D' = (-2,+3)
Now A'B'C'D' is translated 3 units to right, so the coordinates will be --
A" = (-2,3)
B" = (-3,1)
C" = (0,1)
D" = (1,3)
When the quadrilateral moves third and two units up, we get
A"' = (3,3)
B"' = (2,1)
C"' = (5,1)
D"' = (6,3)
Answer:
No x-intercept/Zero
Step-by-step explanation:
Substitute f (x)=0
Solve the equation
There is no x-intercept/zero