Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-
, where 
= Population standard deviation.
n= sample size
= Sample mean
z* = Critical z-value .
Given : 
n= 49
Two-tailed critical value for 95% confidence interval = 
Then, the 95% confidence interval would be :-
Hence, the 95% confidence interval for estimating the population mean 
:
Answer:
C
Step-by-step explanation:
CB is congruent to AB because the both are 30 degrees
32^3/5 = 8
64^2/3 = 16
81^1/4 = 3
49^1/2 = 7
125^2/3 = 25
now just put them in order from the smallest value to the largest
1,360,720,000/24,151,500=56.34%(rounded)
Answer: 39.2Check out the attached image
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Explanation:
Draw out the triangle or use the diagram provided by your teacher. It should look something similar to what I've attached.
Let m = length of side XZ
We are given that
angle Y = 75 degrees
angle Z = 67 degrees
which are the green angles shown in the diagram
Use the fact that the three angles (X,Y,Z) add to 180 degrees to find angle X
X+Y+Z = 180
X+75+67 = 180
X+142 = 180
X+142-142 = 180-142
X = 38
Now use the law of sines to find m
sin(X)/YZ = sin(Y)/XZ
sin(38)/25 = sin(75)/m
m*sin(38) = 25*sin(75)
m = 25*sin(75)/sin(38)
m = 39.22309 <<<--- make sure your calculator is in degree mode
m =
39.2So
XZ is roughly 39.2 feet in length
