Answer:
(b)
Since we don't have prior estimation for the population proportion we can use the value
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=54
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 90% 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)
Since we don't have prior estimation for the population proportion we can use the value
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=54
Answer:
it depends on shape and object or how wide or tall the figure is.
Step-by-step explanation:
Answer:
67 degrees
Step-by-step explanation:
first find angle abc by subtracting 68 from 101 == 33
then add it to half of 68 (34) to get angle abe
we know it is half because if there is a bisector, both angles cbe and ebd are equal
Answer:
24 or 25, because of the max height it can reach on the graph, its reaching the maximum height it can go
-
Answer:
If
then
and 
a | b | a + b (answer)
0 | 0 | 0
0 | 1 | 1
0 | 2 | 2
1 | 0 | 1
2 | 0 | 2
1 | 1 | 2
2 | 1 | 3
Step-by-step explanation:
Considering the following conditions for the real numbers:

Following the rules of these in-equations, it is possible to deduce:

Then, if the proposed statement is:

The conditions above shall comply the requirements established, but first, analyzing the statement:
If
and
then
,
and
.
If
and b a non negative real number, then
, but because to
, then
. Due to the commutative property of sums, the same behavior will be presented if
and a a non negative real number.
According to that, if
, then
and
.