Answer:
The required confidence inteval = 94.9%.
Step-by-step explanation:
Confidence interval: Mean ± Margin of error
Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).
i.e. Mean + Margin of error = 42.969 (i)
Mean - Margin of error = 36.191 (ii)
Adding (i) and (ii), we get
Margin of error = 42.969-39.58 [from (i)]
= 3.389
Margin of error =
here n= 25
i.e.
Using excel function 1-TDIST.2T(2.054,24)
The required confidence inteval = 94.9%.
Answer:
$4261.71
Step-by-step explanation:
Montesquieu's annual payment is ...
(12 mo) × ($124.30/mo) = $1491.60
This is the 35% of the cost that is not paid by his employer. So, the total cost can be found from ...
$1491.60 = 0.35 × annual premium
$1491.60/0.35 = annual premium ≈ $4261.71
Simplify
5 - 2i + 3 + 4i - (-6 + 2i)
Simplify brackets
5 - 2i + 3 + 4i + 6 - 2i
Collect like terms
(5 + 3 + 6) + (-2i + 4i - 2i)
Simplify
<u>= 14</u>
He will drink 6 5-gallon containers of juice in 30 days.