Oly(3-hydroxybutyrate) (phb), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. from a sustainability perspective, phb offers many attractive properties though it is more expensive to produce than standard plastics. the accompanying data on melting point (°c) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article. 180.5 181.7 180.8 181.5 182.6 181.7 181.2 182.2 182.2 180.2 181.7 180.5 compute the following. (round your answers to two decimal places.) (a) the sample range °c (b) the sample variance s2 from the definition [hint: first subtract 180 from each observation.] s2 = (c) the sample standard deviation s = (d) s2 using the shortcut method

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%

you first to choose the points and then move from then as the slope you have