0.7 is 0.07 times ten, and 0.7 times 10 is 7 :)
Using the distance formula, you can determine the lengths of the sides of the shape. This will help determine if triangles are equilateral, isosceles or scalene; or if quadrilaterals are squares, rectangles, rhombi, or isosceles trapezoids; or if other polygons are regular polygons. The slope formula will tell help you determine if two sides are parallel. In a quadrilateral, this will help you determine if the figure is a parallelogram or a trapezoid.
Step-by-step explanation:
54 = 2 * 3³
72 = 2³ * 3²
To find the GCF of 54 and 72,
we find the highest common powers of their prime factors.
Highest common power for 2: 2
Highest common power for 3: 3²
Hence GCF of 54 and 72 = 2 * 3².
The answer is Option 2.
Answer:
The required sample size for the new study is 801.
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:

25% of all adults had used the Internet for such a purpose
This means that 
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
What is the required sample size for the new study?
This is n for which M = 0.03. So






Rounding up:
The required sample size for the new study is 801.
The fourth option would be the answer.