A statement is made about correlation. State whether the correlation is positive or negative and whether the correlation is most likely due to coincidence, a common underlying cause, or a direct cause.People who eat a lot of junk food are heavier, on the whole, than those who do not.
A. Negative correlation; direct cause
B. Positive correlation; coincidence
C. Positive correlation; direct cause
D. Positive correlation; common underlying cause
Answer: C
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Write the set in set-builder notation.{. . . -3, -2, -1, 0, 1, 2, 3, . . . }
A. {x|x is a rational number} B. {x|x is a whole number} C. {x|x is an integer} D. {x|x is a natural number}
The energy economy of an area is composed of four industries: gas, coal, hydroelectric, and nuclear. The three main consumers of energy are area residential consumers, a manufacturing plant, and a university. Assume that each consumer may use some of the energy produced by each industry, and also that each industry uses some of the energy produced by each of the other industries. The energy needs of each consumer and industry is represented by a demand vector whose entries, in order, give the amount of gas, coal, hydroelectric, and nuclear energy needed by each consumer or industry, in some convenient units. The demand vectors for the consumers are: src="https://sciemce.com/media/4/ppg__tttt0616191201__f1q139g2.jpg" alt="" style="vertical-align: -8.0px;" /> 
and the demand vectors for the industries are: 
The price of gas is 
per unit, the price of coal is 
per unit, the price of hydroelectric power is 
per unit, and the price of nuclear energy is 
per unit. These prices can be represented by the (column) price vector: P = 
Use the matrix operations on a graphing calculator to find the income earned by the hydroelectric industry and its cost for the other forms of energy it uses. Then calculate its profit.
What will be an ideal response?
Use the fundamental identities to simplify the expression.cos x (csc x - sec x) - cot x
A. 0 B. -1 C. cos2x - tan2x D. 1
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole.One day 90 office workers were sick with the flu. If this were 36% of the total number of office workers, how many office workers were there altogether?
A. 3240 office workers B. 250 office workers C. 32,400 office workers D. 2500 office workers