Answer:
Step-by-step explanation:
<h3>
The complete exercise is attached.</h3>
For this exercise it is important to remember that, by definition, if an angle formed by two intersecting chords has its vertex on a circle, this is called an "Inscribed angle".
The following formula is used to calculate the measure of an Inscribed angle:
You can identify in the figure that:
Then you can substitute values into the formula and solve for "x":
Then, AC is:
Answer:
Step-by-step explanation:
Here, 3.2 centimeters on the map is equivalent to 4 kilometers. We can use unitary method to find, how many kilometer/kilometers each centimeter corresponds to. Using the unitary method: Therefore, the scale of map represents 1.25 kilometers for each centimeter.
4x^2-25= (2x)^2-5^2=(2x-5)(2x+5)
Used: a^2-b^2=(a+b)(a-b)
We use the simple rules of statistics to accept the null hypothesis
68% of the data falls within 1 sd of the mean95% of the data falls within 2 sd of the mean 99% of the data falls within 3 sd of the mean
20 falls between the range of -56 to 56 (from the given 95% c.i.), hence we accept the null hypothesis; else, if the mean falls outside the range, we reject the null hypothesis.