Out of the 6 numbers, 3 of them are even: 4, 10, and 14. The probability that he will pick an even number is therefore 3/6 = 1/2 = .5
The answer to the question above is "not always". Only two lines with solution intersect. There are other two types of systems of linear equation. One of which are those which do not intersect because of they are parallel. Lastly, there are also systems of lines that intersect indefinitely because basically the equations represent the same line.
Answer:
A researcher is interested in comparing the usage of bank debit cards by consumers in rural (r) and urban (u) areas. Each year for the past five years, she has surveyed 500 individuals (one‑half urban, one‑half rural) randomly selected from across the United States. She is specifically interested in any differences that may exist between the two groups with regard to usage. The results of the current study indicate that people in urban areas use bank debit cards 12 times per month on average, while those in rural areas use bank cards 10 times per month on average. Which of the following is the null hypothesis that the researcher should use in comparing the usage rates?
Option C is the correct answer.
Step-by-step explanation:
The null hypothesis is the hypothesis of no difference. Therefore, the appropriate null hypothesis will be:
There is no difference in the average monthly usage of debit cards between urban and rural people.
Therefore, option C is the correct answer.
slope (m) = 1/2
y-intercept (b) = -3
You use the y-intercept first to find the first point of (0, -3). From there you can use the slope to find the other points.
Answer:

Step-by-step explanation:
we have

Find the zeros of the function
F(x)=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

square root both sides




so
The factors are
(x-11) and (x-3)
therefore
