Answer:
We need a sample size of at least 719
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 the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?
This is at least n, in which n is found when 
. So
Rouding up
We need a sample size of at least 719
Answer:
There are 36 green marbles, 24 red marbles and 16 blue marbles.
Step-by-step explanation:
Yes, because by the definition of function, for every single input there is one out put corresponding to that.
These are what I call the Two Tired Triangles of Trig, 30/60/90 and 45/45/90. If you learn these cold now you'll save yourself some hassle down the road. These are generally the only right triangles teachers use when they want 'exact' answers.
Here are the facts to remember:
The ratio of the sides of the 45/45/90 triangle are 1:1:√2
The ratio of the sides of the 30/60/90 triangle are 1:√3:2, with the smallest opposite the 30 degree angle.
OK, let's fill in the angles first. Where we have a right triangle with 30/60/90 we fill in the missing one. For the half squares, the acute angles are 45 degrees.
For the lengths we apply the ratios. Hypotenuse of 45 degree right triangle is 4, so sides are 4/√2 = 2√2. When that's opposite 30 degrees, the other two sides are 2√2×√3 = 2√6 and 2×2√2=4√2.
2√6 is one side of a square, so all sides. The diagonal is 2√6×√2=2√12=4√3.
Half the square side is the smallest leg of a 30/60/90, so √6, with other leg √6×√3=√18=3√2 and hypotenuse 2√6.
