We will use l´Hopital´s rule for calculating limits involving indeterminate form (in this case: ∞ / ∞ ) using the derivative of the numerator and denominator:
This is still form ∞/∞ and we will use the derivative again:
=1/∞ =
0The sequence converges.
Answer:
The z-scores are 
and 
Step-by-step explanation:
From the question we are told that
The middle of the distribution area considered is 48%
Now the rest of the area under the standard normal distribution area is mathematically evaluated
Now to obtain the area occupied by this proportion at the two tails we divide by 2 i.e
Now the z-score is obtained from the normal distribution table and the value is
The 
shows that we are considering the two-talil
Answer:
y= 10
Step-by-step explanation:
2.8y+0.2y-5y = -14-16
-2y/-2 = -20/-2
y = 10
The Atlantic Ocean haas an average depth of 12,000 ft.
If you know the rules, you don't actually have to graph these to check if they're perpendicular, parallel, or neither.
parallel slopes are the same
perpendicular slopes are the opposite reciprocals
"neither" slopes fall into neither category
you should still follow directions and graph them if your teacher expects it, but with that knowledge:
13. y = 4x+7 and y = (-1/4)x-3
the slopes here, 4 and -1/4, are opposite reciprocals, so these lines are perpendicular
14. y = 3x-4 and y = 3x+1
the slopes here, 3 and 3, are the same, so these lines are parallel
15. y = x+5 and y = -5x-1
the slopes here, 1 and -5, have no relation in this case, so these lines are neither
