Answer:

Step-by-step explanation:
we are given 8 songs
2 are <em>rock.</em><em> </em>4 are <em>reggae</em>, 2 are <em>country</em>
we want to figure out the probability of getting both reggae songs
notice that, they aren't replacing thus it's an independent probability
recall that,

P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time
let's figure out P(A)
we have 2 reggae songs
and total 8 songs
therefore

let's figure out P(B|A)
since we took a reggae song before now we have only a reggae song
and total 8-1=7
therefore

Altogether

simplify multiplication:

And we are done!
Answer:
0.000298 = 0.0298% probability that the system will collapse
Step-by-step explanation:
Number of possible ways the system can fail:
2 lines from a set of 3 fail, or all three fail.
Two from a set of 3:
Can be A and B, A and C, or B and C. Three possible outcomes then.
The probability of each is:
0.01*0.01*0.99
Two failling, each with 0.01 probability, and 1 working, with 0.99 probability.
All three:
Each with 0.01 probability.
a) What is the probability that the system will collapse
Both cases, so

0.000298 = 0.0298% probability that the system will collapse
Answer:
The width is 5 meters
Step-by-step explanation:
The rectangular field is 24 meaning adding just one width and length of the rectangle would be 12.
x = width
2x - 3 + x = 12
3x - 3 = 12
3x - 3 + 3 = 12 + 3
3x = 15
x = 5
Answer:
y=3/4x -2
Step-by-step explanation:
I know the last box has a plus sign in front of it but it's still -2 since the y- intercept is at -2. It's the same thing but I just wanted to make sure you knew that in the last box, you still put -2.
Sorry if what I just said above is confusing, i don't know how to explain it better...
5x+3y=12
Subtract 5x from both sides
3y=-5x+12
Divide by 3
Y=-5/3x +4