A company plans a major investment and the amount of profit is uncertain, but researchers
give the following estimate for the distribution.
1.5
10

Profit
(in
millions)
Probability

0.1
0.2
0.4
0.2
0.1
What is the expected value of the profit?
[ ? ] million dollars

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

The vertices of a triangle are a(7.5), b(4,2), and c19. 2). what is

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x,y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis