Answer:
Step-by-step explanation:
a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.
b) For 95% confidence level, z* = 1.96.
\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).
We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.
c)
\\np=1578(0.61)=962.58
\\n(1-p)=1578(1-0.61)=615.42
Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.
d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.
Step-by-step explanation:
OA=AC=OC=2 (equal triangle)
which means angle O =60 degree
tan 60 = AB / 2
AB = 2 tan 60 =
The nth term is 6n^2-11n+16
A mixed number is a whole number plus a fraction.The smallest whole number is 1.So no mixed number can be less than 1.
Mixed numbers that are 1/3 apart and are between 0 and 2
could be (1-1/3) and (1-2/3).
They could also be (1-1/6), (1-1/2), and (1-5/6) .
Answer:
$29619.13
Step-by-step explanation:
a. Tara has $14375 in credit card debt and the interest rate is 5.3%.
Now, if f(t) represent the amount of money Tara have in credit card debt, where t is the number of years after after interest begins to accrue, then
......... (1)
Again Tara borrows $570 each month for rent from her parents without any interest.
If g(x) represent the amount of money Tara owes to her parents, where t represents the number of years passed,then we can write
g(t) = 570 × 12t = 6840t ........ (2)
Therefore,
b. So, for t = 2 years,
= $29619.13
So, Tara has to repay $29619.13 if she continues this way without any repayment for 2 years. (Answer)
