The table to the right gives the per capita gross national product and the per capita expenditure on defense for eight developed countries. Gross domestic product​ (GDP) is a measure of the total economic output of a country in monetary terms. Per capita GDP is the GDP averaged over every person in the country. Complete parts a though c.

H            45,758                          1700

A. Make a scatter diagram for the data.

A.

200005500002000GDPDefense Spending

A scatterplot with a horizontal axis labeled G D P from 20000 to 55000 in increments of 5000 and a vertical axis labeled Defense Spending from 0 to 2000 in increments of 200 contains 8 points. (37500, 900); (32500, 800); (35000, 500); (35000, 1300); (35000, 300); (47500, 1200); (35000, 1000); (45000, 1700). All coordinates are approximate.

B.

200005500002000GDPDefense Spending

A scatterplot with a horizontal axis labeled G D P from 20000 to 55000 in increments of 5000 and a vertical axis labeled Defense Spending from 0 to 2000 in increments of 200 contains 8 points. (32500, 800); (32500, 650); (35000, 600); (35000, 1450); (35000, 100); (35000, 1400); (35000, 1000); (35000, 1700). All coordinates are approximate.

C.

200005500002000GDPDefense Spending

A scatterplot with a horizontal axis labeled G D P from 20000 to 55000 in increments of 5000 and a vertical axis labeled Defense Spending from 0 to 2000 in increments of 200 contains 8 points. (37500, 1700); (32500, 500); (35000, 1000); (35000, 800); (35000, 900); (47500, 300); (35000, 1300); (45000, 1300). All coordinates are approximate.

D.

200005500002000GDPDefense Spending

State whether the two variables appear to be​ correlated, and if​ so, state whether the correlation is​ positive, negative,​ strong, or weak.

A.

The two variables appear to be correlated and the correlation is strong and positive.

B.

The two variables appear to be correlated and the correlation is weak and negative.

C.

The two variables appear to be correlated and the correlation is weak and positive.

D.

The two variables appear to be correlated and the correlation is strong and negative.

E.

The two variables do not appear to be correlated.

C. Suggest a reason for the correlation or lack of correlation.

A.

The higher a​ country's per capita​ GDP, the less it can spend on per capita national defense.

B.

The higher a​ country's per capita​ GDP, the more it can spend on per capita national defense.

C.

There is no correlation between a​ country's per capita GDP and spending on per capita national defense.

If

f left parenthesis x right parenthesis equals 5 x squared minus 7 x plus 9f(x)=5x2−7x+9​,

find f(0)=

A coffee distributor needs to mix a Terraza coffee blend that normally sells for $10.50 per pound with a Gazebo coffee blend that normally sells for $13.40 per pound to create 100 pounds of a coffee that can sell for $10.60 per pound. How many pounds of each kind of coffee should they mix? pounds of the Terraza Blend. pounds of the Gazebo Blend

Rosita wants to install a circular sink in her new triangular countertop.She wants to choose the largest sink that will fit.which point of concurrency must she locate? explain how to find the answer and make a sketch

A projector screen is 3.5 ft tall and 6 ft wide. You want to project a photo that is 4 in tall by 6 in wide. What are the dimensions of the image of the largest photo that will fit on the screen?

Square pyramids A and B are similar. In pyramid? A, each base edge is

99

cm. In pyramid? B, each base edge is

33

cm and the volume is

33

cmcubed3.

a. Find the volume of pyramid A.

b. Find the ratio of the surface area of A to the surface area of B.

c. Find the surface area of each pyramid.

A company surveyed 1000 people on their age and the number of jeans purchased annually. The results of the poll are shown in the table.

A person is selected at random. Compute the probability of the following.

(a) The person is over 25 and purchases 3 or more pairs of jeans annually.


(b) The person is in the age group 12-18 and purchases at most 2 pairs of jeans annually.


(c) The person is in the age group 19-25 or purchases no jeans annually.


(d) The person is older than 18 or purchases exactly 1 pair of jeans annually.

Discuss the differences and similarities in the analytic geometries developed by Fermat and Descartes.

Profit Parabolas: The baseball card shop is trying to sell limited baseball cards for $30, yet no one is interested in buying the cards. The owner of the baseball card shop, reduced the price of the cards to help sales. The baseball card owner found for every $1 that, the price was reduced, it created 8 more customers daily( per day). If the baseball card owner reduced the price to $ 20, how many people(customers) will be buying baseball cards each day? What will be the total profit? What should be the price of the baseball cards to create the greatest profit for the owner? Graph the function. Clearly label the graph.

What are some modern day applications of Pick's theorem? 

Prove that the axiomatic set for Fano's 7 point/line geometry is independent

Ali sails on a bearing of N20E for 18 km then S85E for 6 km . How far is he from his starting point?

A pilot flew a jet from City A to City B, a distance of 1600 mi. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 5 h 20 min. What was the speed from City A to City B?

It took a crew 3 h 44 min to row 7 km upstream and back again. If the rate of flow of the stream was 1 km/h, what was the rowing speed of the crew in still water?