Answer:
Distance between points (5, -3) and (0, 2) is √50 or 7.07
Step-by-step explanation:
We need to find distance between two points (5,-3) and (0,2)
The distance formula used is:

here
x₁= 5, y₁=-3, x₂=0 and y₂=2
Putting values in the formula:

So, distance between points (5, -3) and (0, 2) is √50 or 7.07
(a+b)² can also be written as (a+b) (a+b). When you expand this you get a²+2ab+b²
(a-b)² can also be written as (a-b) (a-b). When expanded this gives a²-2ab-b2
As you can see, this leads to different coefficients of the 'ab' values: for (a+B) ² its 2 for (a-b) ² its - 2
29.10 for the first question radius
Answer:
The minimum sample size necessary is 2305.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The researcher wishes to be accurate within 2% of the true proportion. Find the minimum sample size necessary?
We need a sample size of n.
n is found when M = 0.02. So






Rounding up
The minimum sample size necessary is 2305.