Answer:
And rounded up we have that n=99
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We assume the value for
since we don't have previous info. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=99
Answer:
Step-by-step explanation:
it is given that Square contains a chord of of the circle equal to the radius thus from diagram

If Chord is equal to radius then triangle PQR is an equilateral Triangle
Thus 
In triangle PQO applying Pythagoras theorem




Thus length of Side of square 
Area of square
Area of Circle
Ratio of square to the circle
Answer:
7
Step-by-step explanation:
Reflection is a rigid transformation, so the side length does not change.
A'B' = 7
Mr. Valentino can`t go over his budget of $25. The amount of money times the amount of boxes needs to be less than or equal to $25:
Answer: A ) $1.75 x ≤ $25,
where x is the amount of boxes he bought.