A poll asked a sample of voters if marijuana should be legalized. Voters' responses and political party affiliation are in the table. Complete parts (a) through (e) below. Favor Legalization of
Marijuana
Political Affiliation Yes No
Total
Republican
140
128
Democrat
213
85 298
Independent
281 151 432
Total
364 998
0
268
634
a. If a person is randomly selected from this group, find the probability that the person is a Republican.
(Type an integer or decimal rounded to one decimal place as needed)
b. If a person is randomly selected from this group, find the probability that the person is a Democrat
(Type an integer or decimal rounded to one decimal place as needed)
c. If a person is randomly selected from this group, find the probability that the person is a Republican or Democrat
(Type an integer or decimal rounded to one decimal place as needed)
d. Are "Republican" and "Democrat" mutually exclusive events? Give a reason for your answer. Choose the correct answer below.
O A. "Republican" and "Democrat" are mutually exclusive because if a voter is "Republican" they could also be "Democrat."
OB. "Republican" and "Democrat" are mutually exclusive because if a voter is "Republican" they cannot be "Democrat."
OC. "Republican" and "Democrat" are not mutually exclusive because if a voter is "Republican" they cannot be "Democrat."

Jabari is power washing houses for a summer job. for every job, he charges an initial fee plus $30 for each hour of work. his total fee for a 4 -hour job, for instance, is $170 . jabari's total fee, f, for a single job is a function of the number, t, of hours it takes him to complete the job. write the function's formula.

Overproduction of uric acid in the body can be an indication of cell breakdown. this may be an advance indication of illness such as gout, leukemia, or lymphoma.† over a period of months, an adult male patient has taken nine blood tests for uric acid. the mean concentration was x = 5.35 mg/dl. the distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.87 mg/dl. (a) find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. what is the margin of error? (round your answers to two decimal places.) lower limit upper limit margin of error (b) what conditions are necessary for your calculations? (select all that apply.) σ is unknown n is large σ is known normal distribution of uric acid uniform distribution of uric acid (c) interpret your results in the context of this problem. there is not enough information to make an interpretation. the probability that this interval contains the true average uric acid level for this patient is 0.05. the probability that this interval contains the true average uric acid level for this patient is 0.95. there is a 95% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. there is a 5% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. (d) find the sample size necessary for a 95% confidence level with maximal margin of error e = 1.10 for the mean concentration of uric acid in this patient's blood. (round your answer up to the nearest whole number.) blood tests

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? check the angles used in the construction with a straightedge to ensure consistency. check the distance along the lines at several places with a compass to ensure they are the same length. check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. check the distance between the lines at several places with a compass to ensure they are equidistant. question 2(multiple choice worth 1 points) (01.03 lc) which of the following steps is included in the construction of a perpendicular line through a point on a line? connect arcs that are above and below the given line with a straightedge. connect arcs that are above the original line with a straightedge. create arcs on either side of a point that is off the given line. create a copied angle by using the first two lines as the original angle.