Answer:
We need a sample size of at least 170.
Step-by-step explanation:
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 M as such
In which 
is the standard deviation of the population(square root of the variance) and n is the size of the sample.
How large of a sample would be required in order to estimate the mean per capita income at the 80%80% level of confidence with an error of at most $0.52$ 0.52?
A sample size of at least n, in which n is found when 
So
Rounding up
We need a sample size of at least 170.
Step-by-step explanation:
If there are 20 yellow marbles,
there must be 32 - 20 = 12 red marbles.
P(Red marble)
= 12/32
= 0.375.
Hello :
<span>g(n) = n2 − 16n + 69
=( n²-16n+64)-64 +69.....(</span><span> completing the square)
</span>g(n) = (n-8)² +5...... (<span>the vertex form)
the vertex is : (8,5)
</span><span>the axis of symmetry is the line : n = 1</span>
Answer:
Step-by-step explanation:
The given inequality is 3x-2>4 or 
We group similar terms to obtain: 3x>4+2 or 
Simplify to get:
3x>6 or 
x>2 or 
This implies that the solution set is all real numbers.
The solution in interval notation is
