Use counting rules to determine the probability.Dave puts a collection of 15 books on a bookshelf in a random order. Among the books are 2 fiction and 13 nonfiction books. What is the probability that the 2 fiction books will be all together on the left side of the shelf and the 13 nonfiction all together on the right side of the shelf?

A. 0.01619
B. 0.01809
C. 0.01333
D. 0.00952


Answer: D

Mathematics

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Solve the problem.What is the closing price for CAP.GYR?

A. $1080.54 B. $1068.64 C. $1074.59 D. $1074.00

Mathematics

Two ships leave the same port at noon. Ship A sails north at 20 mph, and ship B sails east at 12 mph. How fast is the distance between them changing at 1 p.m.?

What will be an ideal response?

Mathematics

Refer to the following recipe to first estimate the answer and then use multiplication or division to find the exact answer. Simplify. Old Grandma's Fork Cookies 1 cups brown sugar 1 cups white sugar 1 cups shortening 1 pinch salt 3 eggs 2 tsp soda 2

/> tsp cream of tartar 1 tsp vanillaCream sugars and shortening. Beat in remaining ingredients. Add flour to stiffen like regular cookie dough. Roll into balls, then flatten with a fork. Cook until brown.If the recipe is tripled, how much soda will be needed?

A. Estimate: 9 tsp
Exact: 7 tsp
B. Estimate: 9 tbsp
Exact: 7 tbsp
C. Estimate: 6 tsp
Exact: 6 tsp
D. Estimate: 7 tsp
Exact: 9 tsp

Mathematics

Provide an appropriate response.Which of the following are not allowable operations when the Gaussian elimination method is used to solve a system of linear equations?(i)A multiple of elements of one row may be added to the corresponding elements of any other row.(ii)Any two columns may be interchanged.(iii)The elements of any row may be multiplied by the corresponding elements of another row.(iv)All of the elements of any row may be multiplied by any nonzero number.

A. (ii) B. (ii), (iii) C. (ii), (iii), (iv) D. (i), (iv)

Mathematics