What is the solution to the system of linear equations? −8x−7y=96 −3x+5y=−25
2 answers:
Answer:
solution set of the given system is (-5, -8)
Step-by-step explanation:
The system of the equation has been given as -8x - 7y = 96 -----(1)
and -3x + 5y = -25 -------(2)
Now we multiply equation 1 by 3 and equation 2 by 8
-24x - 21y = 288 ------(3)
-24x + 40y = -200 ------(4)
Now we subtract equation 3 from 4
(-24x + 40y) - (-24x - 21y) = -200 - 288
-24x + 40y + 24x + 21y = -488
61y = -488
y =
y = -8
Now we place y = -8 in the equation (2)
-3x + 5(-8) = -25
-3x - 40 = -25
-3x = 40 - 25
-3x = 15
x = -5
Therefore, solution set of the given system is (-5, -8)
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Answer:
82.5% Americans owned a TV also owned a DVD player .
Step-by-step explanation:
Formula
As given
Of the 114.2 million Americans who owned a TV, 94.2 million also owned a DVD player.
Here
Part value = 94.2 million
Total value = 114.2 million
Putting all the values in the formula
Percentage = 82.5 %
Therefore 82.5% Americans owned a TV also owned a DVD player .
Answer:
0
Step-by-step explanation:
given that we roll a fair die repeatedly until we see the number four appear and then we stop.
the number 4 can appear either in I throw, or II throw or .... indefinitely
So X = the no of throws can be from 1 to infinity
This is a discrete distribution countable.
Sample space= {1,2,.....}
b) Prob ( 4 never appears) = Prob (any other number appears in all throws)
=
where n is the number of throws
As n tends to infinity, this becomes 0 because 5/6 is less than 1.
Hence this probability is approximately 0
Or definitely 4 will appear atleast once.