Answer:Part(a): 0.01134±0.0000961 in,
Part(b): Number of Decks=5
Explanation: Firstly we need to estimate the approximately the range of thickness of one card by using the thickness of 52 cards
D=0.590±0.005 in
thickness of one card=d
d=D/52
d=(0.590±0.005)/52
d=0.01134±0.0000961 in
the uncertainty of a single card is less due to using 52 card deck for measurement which cause the uncertainty to be divided by 52
for part b we can use the same principle i.e.
[tex]uncertainty =\frac{0.005}{Number of Cards}[/tex]
for uncertainty of 0.00002 inch we can find the number of cards
[tex]Number of Cards=\frac{0.005}{uncertainty} \\Number of Cards=\frac{0.005}{0.00002} \\Number of Cards=250\\Number of Decks=Number of Cards/52\\Number of Decks=4.8\\Number of Decks=5[/tex]
