By definition, a regular polygon is equilateral and equiangular.
Based on that, the sides are congrent and the angles are congruent.
It’s 45cm
Step by stem explanation: I did that a few weeks ago and got it right!
Hope it helps! :)
Complete Question
Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test
Answer:
The p-value is
Step-by-step explanation:
From the question we are told that
The percentage of senior citizens is p = 0.10
The sample size is
The sample proportion is
The test statistics is
The null hypothesis is
The alternative hypothesis is
Generally the p-value is mathematically represented as
From the z-table
=>
=>
Answer:
Step-by-step explanation:
Please refer to the attached image.
Recall that in order to find the equation of a line parallel to another one, one needs to have the actual slope of the original line. This is because one will need to give the same slope in the equation for the new line.
Let's now try to extract the slope of the first line by looking at its graph. Recall as well that the formula for the slope uses information from two points on the plane through which the line passes. We then try to find two points with easily identifiable coordinates. Please find two such points marked with red dots in the attached image. Their coordinates are also shown: (0,4) and (10,9).
Now let's use the formula for the slope (m) given two points
If we assign , and the slope becomes:
Then the parallel line we are going to build should also have slope "1/2"
Now, the next step is to create the equation of the new line using the slope m = 1/2 and also using the point (4,1) where it should be passing. So we use the "point-slope" formula to create the line:
where is the coordinate pair of thepont we want the line to go through (in our case the point (4,1)). Then:
which is the third option among your list of answers.