The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%
<h3>How to determine the percentage frequency?</h3>From the pie chart of the dataset (see attachment for the pie chart), we have:
Consumer Staples = 8.2%
This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%
Read more about pie charts at:
#SPJ1
Answer:
a) Statistic.
b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.
Step-by-step explanation:
a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.
b) We can use the statistic to estimate a confidence interval for the parameter of the population.
The standard error for the proportion is calculated as:
The margin of error is 0.01. We can use this value to determine the level of confidence that represents.
The formula for the margin of error is:
This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.
The interval for this margin of error is:
Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.
Answer:
Answer choice D:
y - 6 = 2(x - 5)
Step-by-step explanation:
This question is basically asking you to find the point-slope form equation for a line going through the points (3, 2) and (5, 6).
As you can tell by the name, point-slope form needs both a point that the line goes through and the slope of the line.
You can find the slope of the line by using the slope formula since you have two points that the line goes through.
Slope formula:
Substitute in the points A and B into the formula.
The slope of this line is 2.
Now since we have the slope and a point of the line, we can plug this into the point-slope form equation, which is y - y1 = m(x - x1).
We will be using one of the points (I will be using point A) to substitute the coordinates into y1 and x1, and using the slope to substitute into m.
Substitute point A's coordinates and the slope of the line into the point-slope form equation.
y - (2) = 2(x - (3))
I always put parentheses around the numbers I substitute into an equation to see exactly what is being plugged in, but now you can remove them to find your answer.
y - 2 = 2(x - 3)
Now, since none of the answer choices do not fit with the answer we have found, we can use the other point coordinate-- point B.
Substitute point B and the slope 2 into the equation.
y - (6) = 2(x - (5))
Remove the parentheses.
y - 6 = 2(x - 5)
There is an answer choice for this answer we have found, answer choice D.
By the way, both of the equations we found: y - 2 = 2(x - 3) and y - 6 = 2(x - 5) will yield the same answer in the end so don't worry if one of the points don't work if you have a multiple choice like this question.