<u>Given</u>:
The given triangle has three equal sides. Thus, the given triangle is an equilateral triangle.
The measure of one angle is (4x - 20)°
Since, it is an equilateral triangle, then all the three sides will be equal.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the triangle sum property.
Thus, we have;
Simplifying, we have;
Adding the like terms, we have;
Thus, the value of x is 20
Answer:
Step-by-step explanation:
use the form to find the values of a, b, and c.
consider the vertex form of a parabola
substitute the values of a and b into the formula
simplify the right side.
find the value of e using the formula
Answer:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
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 z-score that has a p-value of .
The margin of error is:
From this, we have that the margin of error, and also the width, is inversely proportional to the sample size, that is, a larger sample size leads to a smaller margin of error and a narrower interval.
How would the width of the new confidence interval compare to the width of the confidence interval based on the 327 women in the armed forces?
New interval: 784
Old interval: 327
Sample size increased, so the new interval will be narrower, and the correct answer is:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
B to the power of two -30.