Answer:
The margin of error will be "0.65". A further explanation is provided below.
Step-by-step explanation:
The given values are:
n = 343
x = 110
At 99% confidence level,
%


then,


or,


Now,
The point estimate will be:
⇒ 
⇒ 
⇒ 
or,
⇒ 
⇒
The margin of error will be:
⇒ 
On substituting the above values, we get
⇒ 
⇒ 
⇒ 
hence,
⇒ 
⇒ 
⇒ 
So there’s a flat fee of 2 and that’s like a standalone thing so our equation would be
2 + 1.50m
Assuming m = 9, it would be 2 + 13.50
And the two answers are-
A) $15.50
B) 2 + 1.50m
Answer:
(-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)
Step-by-step explanation:
Using x^2 = z, the equation can be rewritten as ...
z^2 -12z +10 > 0
(z -6)^2 -26 > 0
|z -6| > √26
This resolves to two equations.
This one ...
x^2 -6 < -√26 . . . . substitute x^2 for z
|x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|
-√(6-√26) < x < √(6-√26)
__
and this one ...
x^2 -6 > √26
|x| > √(6 +√26)
x < -√(6 +√26) ∪ √(6 +√26) < x
Answer:
The brother is likely wrong.
Step-by-step explanation:
The range of the vehicle with a full tank is ...
(13.5 gal/tank)(25 mi/gal) = 337.5 mi/tank
You have 1/4 tank, so your range is ...
(337.5 mi/tank)(1/4 tank) = 84.375 mi
If you make the 85 mile distance, it will be because you achieved gas mileage better than average and/or your gas gauge gives you some cushion.
Unit analysis says you do not have the necessary range.