The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms
Answer:
$2,475
Step-by-step explanation:
Given that :
Worth of IRA retirement = $9900
Alonzo's tax bracket = 25%
Amount to be paid as tax upon withdrawal :
25% * $9900
0.25 * $9900
= $2,475
It would be X=12 or -12, because when a number positive or negative is inside the absolute value sign it becomes positive. So 12 - 5 is 7
Answer: 0.6915
Step-by-step explanation:
Given : 

Since , the distribution follows a Normal distribution.
The formula to calculate the z-score is given by :-

For x=

The p-value = 
Hence, the required probability : 0.6915