Answer:
The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.
Step-by-step explanation:
We have the standard deviation for the population, so we can use the normal distribution. If we had the standard deviation for the sample, we would have to use the t-distribution.
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 30 - 1.68 = 28.32 characters.
The upper end of the interval is the sample mean added to M. So it is 30 + 1.68 = 31.68 characters.
The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.
Answer:
y = -2sin(x) + 2
Step-by-step explanation:
The sin(x) function is zero at x=0, so you want a sine function of some sort. The slope of your graph at x=0 is negative so you want a sine function with a negative multiplier. The appropriate choice is the one shown above.
__
The cos(x) function is 1 at x=0, so any graph involving the cosine will not go through the point (0, 2) the way your graph does.
Multiply 5 by 5 to get 25
25ab
4,9 equals 17 triven - 3 sued secton, 2 blue suction
And I Purple section
To Find - probability
Solutions:
P
=
Favarable out comes
Total Outcomes
• P/ Land on ried).
3
-N
3+2+1
And p (Lands on blue) = SAT
I
3
And p/Lands on Purple)=
Hence, Answer aol
P(red).
=
P (blue)
=
3
P / Purple :
=-
There have to be at least 4 ducks recovered
