The following spinner is used to play a board game. Expressing your answer as a fraction in simplest form, what is the probability that the spinner will land on the specified place?  Find the probability that the spinner points toward a number less than 5.

A.
B.
C.
D.


Answer: D

Mathematics

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Solve the problem.A sports store received a line of bicycles that had a net cost of $83 each. If the store was given a series discount of 40/20, find the list price.

A. $207.50 B. $33.20 C. $172.92 D. $39.84

Mathematics

Simplify the expression.5x + 8x

A. 26x B. 13x2 C. 40x D. 13x

Mathematics

Show that the function  is concave upward wherever it is defined. ?

A. The function  is defined for any value of x and  hence the function is concave upward for any x.
B. The second derivative of  is . It is positive for any value of x, hence the function is concave upward for any x.
C. The first derivative of  is . It is positive for any value of x, hence the function is concave upward for any x.

Mathematics

Provide an appropriate response.A company has two different locations to assemble three different models of PCs. The table below summarizes the daily production capacity, the minimum number of each type needed, and the daily operating costs for each location. Find the number of days that each location needs to operate in order to fill the orders at minimum cost.

What will be an ideal response?

Mathematics