Choices:
(7, 44)
(8, 48)
(9, 52)
(12, 74)
<span>(13, 78)
r = 6t
(7,44) : r = 6(7) = 42 incorrect
(8,48) : r = 6(8) = 48 CORRECT
(9,52) : r = 6(9) = 54 incorrect
(12,74) : r = 6(12) = 72 incorrect
(13,78) : r = 6(13) = 78 CORRECT
The points that lie on the resulting line are (8,48) and (13,78)</span>
Where are the answer choices?
By the binomial theorem,

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.
The buyer will be paying taxes for 185 days, so will pay
... (185/365)·$8200 = $4156
Your most appropriate choice seems to be $4178, which corresponds to 186 days' taxes.
_____
There are 30 days in each month in the last half of the year, plus 1 additional day in each of July, August, October, and December. The 30th of June also belongs to the buyer (but the 29th, closing day, does not), so there are 180+5 = 185 days for which the buyer must pay taxes. The answer choices don't include that value.
Answer:
95% of the text messages have length between 23 units and 47 units.
Step-by-step explanation:
We are given the following in the question:
The lengths of text messages are normally distributed.
95% confidence interval:
(23,47)
Thus, we could interpret the confidence interval as:
About 95% of the text messages have length between 23 units and 47 units.
By Empirical rule for a normally distributed data, about 95% of data lies within 2 standard deviations of mean , thus we can write:

Thus, the mean length of text messages is 23 units and standard deviation is 6 units.