North around, inc. stock is expected to return 22 percent in a boom, 13 percent in a normal economy, and −15 percent in a recession. the probabilities of a boom, normal economy, and a recession are 6 percent, 92 percent, and 2 percent, respectively. what is the standard deviation of the returns on this stock?

4.53%

Explanation:

Data provided in the question:

Expected return = ∑ (Return × probability)

Thus,

Expected return = (0.06 × 22) + (0.92 × 13) + (0.02 × (-15))

= 12.98%

Now,

Probability       Return        Probability × (Return-Expected Return)²

0.06                  22                   0.06 × (22% - 12.98%)² = 4.8816

0.92                  13                    0.92 × (13% - 12.98%)² = 0.000368

0.02                  -15                   0.02 × (-15% - 12.98%)² = 5.657608

========================================================

                                                                            Total = 20.5396%

Standard deviation =

= √(20.5396)

= 4.53%

there's 11 people for the 1st position. then, no matter who gets it, there's only 10 left for the second, and then 9 left for the third. 11 x 10 x 9 = 990.   the answer is there are 990 different ways the positions can be filled by these applicants

among other factors, composers started writing dynamic markings in their scores because "new instruments allowed for more dynamic ranges and contrast."

dynamics allude to the loudness or softness of music. dynamics offer an approach to demonstrate articulation in sheet music. they to drive the enthusiastic substance of music through volume and force. maybe you could alter both the volume and the shading profundity on your screen at the same time. we can likewise think about the force side of elements as the quality of a note. a few notes are intended to be played delicately and gently, while others are intended to be played all the more firmly.  

some dynamics markings have a letter 'm,' which remains for mezzo, signifying 'medium.' so a mezzo piano unique stamping resembles this (mp) and intends to play medium calm, while a mezzo specialty dynamic resembles this (mf) and intends to play medium loud.