Solve the problem.There are three children in a family. Are the events "there are more boys than girls" and "the first child is a girl"(a) mutually exclusive?(b) independent?

Fill in the blank(s) with the appropriate word(s).


(a) no
(b) no

Mathematics

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Solve the problem.Jon has 799 points in his math class. He must have 80% of the 1100 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

A. 81 points B. 880 points C. 639 points D. 301 points

Mathematics

Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 9x2 - 5y2

A. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: ellipses 
B. Domain: all points in the xy-plane; range: all real numbers; level curves: hyperbolas 
C. Domain: all points in the first quadrant of the xy-plane; range: all real numbers; level curves: hyperbolas 
D. Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses  

Mathematics

Use either the binomial theorem or Pascal's Triangle to expand the binomial.(3x + 4)5

A. 243x5 + 1620x4 + 4320x3 + 5760x2 + 3840x + 1024 B. (9x2 + 24x + 16)5 C. 243x5 + 324x4 + 432x3 + 576x2 + 768x + 1024 D. 243x5 + 3840x4 + 5760x3 + 5760x2 + 3840x + 1024

Mathematics

Nancy bought a 20-year term life insurance policy with a face value of $200,000. Her monthly premium is $66. She dies after 2 years. Her beneficiaries will receive $200,000 ÷ 2 or $100,000.

Answer the following statement true (T) or false (F)

Mathematics