Answer:
A) 277 million years
Step-by-step explanation:
Here, decay of U-238 is first order reaction. (since most of the nuclear decays are first order).
so, the equation t = 
× ln(
)
where, t = time from start of reaction
k = reaction constant
A(0) = initial concentration; A = present concentration.
⇒ 4.5 billion = 4500 million years = × ln2.
Now, given 95.82% of parent U-238 isotope is left.
⇒ t = × ln()
t = 
× ln(
)
⇒ t ≅ 277 million years.
p(x)=2x^6+123.5x^4+389x^2−25x^5−304.75x^3−237.25x+53.5
put in decreasing order
p(x)=2x^6−25x^5+123.5x^4−304.75x^3+389x^2−237.25x+53.5.
the leading coefficient is the number in front of the largest exponent
leading coefficient:2
degree is the power on the largest exponent
degree:6
The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time
z-score is the number of standard deviations from the mean value of the reference population
99%=0.99
The z-value associate with 0.99 is 2.33:
2.33 = (X - 12425) / 595:
X - 12425 = 2.33 * 595
X = (2.33 * 595) + 12425
X = 138111
Therefore, The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time
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Answer:
-11
Step-by-step explanation:
Substarct 2 from -9.
