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yoongnzl
31.12.2020 •
Mathematics
A 14 gram sample of a substance that's
used to preserve fruit and vegetables has
a k-value of 0.1095.
-kt
N = Noe
No = initial mass (at time t = 0)
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Find half-life in days. Round to nearest tenth
Solved
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Ответ:
The half-life in days is 6.3 days
Step-by-step explanation:
Here, we want to get the half-life
From what we have in the question, we can see that we have a first order decay relation
For a first order decay relation;
t1/2 = ln 2/k
That will be;
t1/2 = ln2/0.1095
t1/2 = 6.33
To the nearest tenth, this is 6.3 days
Ответ:
confidence interval = ( -0.38 , 0.08 )
Step-by-step explanation:
Given data :
n1 = 55 , n2 = 60 ,
Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55
P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70
The Z-value at 99% confidence Interval = 2.58
Determine the 99% confidence interval for difference in proportion
applying the formula below
( P1 - P2 ) ± Z (![\sqrt{p1( 1-p1)/n1 + p2(1-p2)/n2}](/tpl/images/1348/2526/af1e4.png)
Input values above into equation
confidence interval = ( -0.38 , 0.08 )