Math Answers

State Debt and Per Capita Tax in USA. An economics student wisher to see if there is a relationship between the amount of state debt per capita and the amount of tax per capita at the state level. Based on the following data, can she or he conclude that per capita state debt and per capita state taxes are related? Both amounts are in dollars and represent five randomly selected states. a.Draw a scatter plot.

b. Compute the correlation coefficient.

c. State the hypotheses.

d. Test the hypotheses at a 0.05.

e. Determine the regression line equation.

f. Plot the regression line on the scatter plot.

g. Summarize the results.

Per capita debt (x )

1924 907 1445 1608 661

Per capita tax (y)

1685 1838 1734 1842 1317

Teachers’Salaries The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probability that a randomly selected teacher earns

a. Between $35,000 and $45,000 a year

b. More than $40,000 a year

c. If you were applying for a teaching position and were offered $31,000 a year, how would you feel

At Joe's pizzeria a pizza costs $5 with the first topping, and then an additional 75 cents for each additional topping.

If x represents the number of toppings on a pizza, what function represents the cost of a pizza with at least one topping? Illustrate the graph for the function.

1)find the perimeter of a circle with radius = 21cm

2)find the area and perimeter of akite with lengths 20cm and 14cm

. Prove the following statements (the symbols carry their usual meaning):

(a) 2F1(−n, 1, 1; x) = (1 − x)

n

(b) 2F1(−n, 1, 1; −x) = (1 + x)

n

(c) x 2F1(1, 1, 2; x) = log(1 − x)

(d) x 2F1(1, 1, 2; −x) = log(1 + x)

(e) x 2F1

MR=6+10x-18x^2

X=1

Sh 4000

Find total revenue

An athlete begins her normal practice for the next marathon during the evening. at 6.00 pm, she start to run and leave her house. at 7.30 pm she finishes her run at home and has a run total 7.5 mile. how fast the average speed over the courses of the run. illustrate the speed in the graph.

Find the appropriate distribution for this question. There 20 multiple choice questions in a Statistic class quiz. Each question has 4 possible answers then only 1 of them has correct answer. Find the probability of having 3 or less correct answer if a student has to answer every question in random. Give an explanation on the result.

Find rank, index, signature and nature of the Quadratic form by reducing it into

Canonical form by orthogonal transformation 2x2 + 2y2 + 322 + 2xy - 4y2 - 42x.

Larry and Curly decide to have a chess match. The probability of Larry winning is 0.4. Each time Larry wins, he gains confidence and the probability of winning the next game increases by 0.1. Each time he loses, his confidence goes down and his probability of winning the next game decreases by 0.05. Determine the probability that in a three game match Larry wins at least two games.