<u>Given</u>:
The satang coin from Thailand has a radius of about 7 mm.
We need to determine the diameter and circumference of the coin.
<u>Diameter of the coin:</u>
The diameter of the coin can be determined by multiply the radius by 2.
Thus, we have;

Substituting r = 7, we get;


Thus, the diameter of the coin is 14 mm.
<u>Circumference of the coin:</u>
The circumference of the coin can be determined using the formula,

Substituting
and
, we get;


Thus, the approximate value of the circumference of the coin is 43.96 mm
Answer:
<u>Use Two sided t-test</u>
<u>Step-by-step explanation:</u>
Note that, there are other tools to test for significant difference such as simple regression or multiple regression<em> but when comparing the results of two groups in terms of which is higher or lower</em>, then a two sided t-test would be best appropriate.
Since we want to know if there is a significant difference between the number of tornadoes in August and the number of tornadoes in October on average we use the two sided t-test because a Two sided t-test can show the possibility of positive or negative differences.
Answer:
Domain [-5,∞)
Range [0,∞)
Step-by-step explanation:
Part 1) Find the domain
we have

we know that
The radicand must be greater than or equal to zero
so

solve for x
subtract 5 both sides

The solution for x is the interval [-5,∞)
All real numbers greater than or equal to -5
Remember that
The domain of a function is the set of all possible values of x
therefore
The domain of the function f(x) is the interval [-5,∞)
Part 2) Find the range
we have

Find the value of f(x) for the minimum value of x
For x=-5


The minimum value of f(x) is equal to zero
so
The solution for f(x) is the interval [0,∞)
All real numbers greater than or equal to 0
Remember that
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
therefore
The range of the function is the interval [0,∞)