Answer:
There is a 98% confidence that the true proportion of voters who have voted in the last presidential election lies in this interval.
Step-by-step explanation:
The confidence interval for estimating the population proportion is:
The 98% confidence interval estimate for the proportion of voters who claimed to have voted in the last presidential election was (0.616, 0.681).
The sample taken was of size, <em>n</em> = 1050.
<u>Interpretation</u>:
The 98% confidence interval (0.616, 0.681) for the proportions of voters who claimed to have voted in the last presidential election implies that the true proportion of voters who have voted lies in this interval with 0.98 probability.
Or, there is a 98% confidence that the true proportion of voters who have voted in the last presidential election lies in this interval.
Or, if 100 such samples are taken and 100 such 98% confidence interval are made then 98 of these confidence intervals would consist of the true proportion of voters who have voted in the last presidential election.
Answer:
see below
Step-by-step explanation:
The equation for half life is
n = no e ^ (-kt)
Where no is the initial amount of a substance , k is the constant of decay and t is the time
no = 9.8
1/2 of that amount is 4.9 so n = 4.9 and t = 100 years
4.9 = 9.8 e^ (-k 100)
Divide each side by 9.8
1/2 = e ^ -100k
Take the natural log of each side
ln(1/2) = ln(e^(-100k))
ln(1/2) = -100k
Divide each side by -100
-ln(.5)/100 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/100 t)
Approximating ln(.5)/100 =-.006931472
n = 9.8 e^(-.006931472 t) when t is in years
Now changing to days
100 years = 100*365 days/year
36500 days
Substituting this in for t
4.9 = 9.8 e^ (-k 36500)
Take the natural log of each side
ln(1/2) = ln(e^(-36500k))
ln(1/2) = -36500k
Divide each side by -100
-ln(.5)/36500 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/36500 d)
Approximating ln(.5)/365=-.00001899
n = 9.8 e^(-.00001899 d) when d is in days
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so ...
11x +6 = -6x +125
17x = 119 . . . . . . . . . add 6x-6 to both sides
x = 7 . . . . . . . . divide by 17
Answer:
13/18
Step-by-step explanation:
- 6.5 · 1/9 = 6 5/10 · 1/9
- 6 5/10 · 1/9 = 6 1/2 · 1/9
- 6 1/2 · 1/9 = 13/2 · 1/9
- 13/2 · 1/9 = 13/18
Therefore, 6.5 · 1/9 = 13/18.
