Asystem is composed of 5 components, each of which is either working or failed. consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector (x1, x2, x3, x4, x5), where xi is equal to 1 if component i is working and is equal to 0 if component i is failed.
(a) how many outcomes are in the sample space of this experiment?

 32

Step-by-step explanation:

Given : A system is composed of 5 components, each of which is either working or failed.

We consider an experiment that consists of observing the status of each component, and let the outcome of the experiment be given by the vector

, where is equal to 1 if component i is working and is equal to 0 if component i is failed.

i.e. The total possible outcomes for each component = 2

Now by Fundamental counting principle , the total number of outcomes are in the sample space of this experiment =

[2 outcomes of each component and there area 5 component]

Hence, the number of outcomes in the sample space of this experiment is 32.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right