Is the function linear or nonlinear?

When the decision maker must consider several possible outcomes for each alternative, each with a given probability of occurrenc

Ivenika [448]

This is considered as decision making under risk.

Decision Making Under Risk

A circumstance in which the implications of the chosen course of action and the likelihood that it will occur are understood is referred to as decision-making under risk . For instance, the lottery selection tasks are frequently employed to examine the nature of decision-making in risky situations.

We make the assumption that there are two or more choices and that each alternative's characteristics are explicitly specified. For each attribute, the CV (coefficient of variation) is configured in case of such decision under risks. And, since in the given question, decision maker is supposed to consider several possible outcomes for each alternative, each with a given probability of occurrence. Thus the decision made will be decision under risk.

Learn more about decision under risk here:

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3 0

2 years ago

F x is a prime number, then x + 1 is not a prime number.<br><br> A counterexample is x =

svlad2 [7]

Answer:

x=2

Step-by-step explanation:

x=2

x+1=3

and 3 is a prime

3 0

3 years ago

Read 2 more answers

In 2006 the average ticket price for a national football league game was 62.38. Since then the cost has increased an average of

monitta

Answer:

y = 2.54x + 62.38

Step-by-step explanation:

Let x represent the duration or stipulated years after the year 2006

Let y represent the amount of ticket that is sold

Let m represent the average increase in the price every year

y = mx + c

y = 2.54 × x + 62.38

y = 2.54x + 62.38

8 0

2 years ago

Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFractio

gtnhenbr [62]

9514 1404 393

Answer:

it is application of the multiplication property of equality

Step-by-step explanation:

You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.

For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.

$\dfrac{18}{5}=\dfrac{x}{100}\qquad\text{given}\\\\\dfrac{18\cdot5\cdot100}{5}=\dfrac{x\cdot5\cdot100}{100}\qquad\text{multiply by $5\cdot100$}\\\\18\cdot100=5\cdot x\qquad\text{cancel common factors; looks like cross product}$

__

Note that the next step here is to divide by the x-coefficient, the 5 that was in the left-side denominator.

$\dfrac{18\cdot100}{5}=x\qquad\text{divide by 5}$

Please also note that this is exactly the same result you would get by multiplying the original equation by the original denominator of x.

8 0

3 years ago

Evaluating more integrals

Greeley [361]

(a) The integral is equal to the area of the triangle; it has height 20 and base 10, so the area is 20*10/2 = 100.

(b) The integral is equal to the area of the semicircle with radius 10. It's also under the horizontal axis, so the area is negative. The semicircle has area $\frac{\pi10^2}2=50\pi$ , so the integral is -50π.

(c) First compute

$\displaystyle\int_{30}^{35}g(x)\,\mathrm dx$

which is the area of the triangle on the right. It has height and base 5, so its area is 25/2.

Then split up the desired integral as

$\displaystyle\int_0^{35}g(x)\,\mathrm dx=\int_0^{10}g(x)\,\mathrm dx+\int_{10}^{30}g(x)\,\mathrm dx+\int_{30}^{35}g(x)\,\mathrm dx$

and plug in the integral values you know:

$\displaystyle\int_0^{35}g(x)\,\mathrm dx=100-50\pi+\frac{25}2=\frac{225}2-50\pi$

4 0

3 years ago