Answer:
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
They randomly survey 391 drivers and find that 319 claim to always buckle up.
This means that 
85% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
This is simple math, you know 60 minutes in 1 hour, so do 60 x 41 = 2,460
So it spins 2,460 times per hour.
Hope this helps!
Answer:
The person in the at-risk population is much more likely to actually have the disease
Step-by-step explanation:
The probability of a randomly selected doctor having the disease is 1 in 1,000 (P(I)=0.0001).
The probability that a doctor is infected with SARS, given that they tested positive is:

The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).
The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:

Therefore, the person in the at-risk population is much more likely to actually have the disease
For this case we must represent the following expression algebraically:
"eight more than the product of a number and two"
Let "x" be the variable that represents the unknown number
We have to:
the product of a number and two is represented as: 
Then, the full expression will be:

Thus, we use multiplication and addition.
ANswer:
Option C
The answer rounded to the nearest hundredth is 84.65.
Consider the number 84.647.
If we multiply this number by 1000, the result is 84647 which has 7 in its one's place.
Also, note that the value of the digit in the ones place is 4, which is half of 8, the value in the tenths place.
The remaining digit in the tenths place is 4.
Hence, the correct answer is 84.65 rounded to the nearest nundredth.