As part of its eco-friendly campaign, a company has asked for your advice whether installing a wind turbine will generate enough electricity to be cost effective. To produce enough electricity, the average wind speed needs to be least 18 mph. Based on historical data from the past 5 years, 47 days were randomly chosen and their wind speed measurements were written down. This resulted in an average wind speed of 19 mph with a standard error of 0.6126 mph. A histogram of these wind speeds yielded a right-skewed shape. 1) Are the conditions met for constructing a confidence interval?
A) It is reasonable to assume that weather conditions on the various days were independent of each other.
B) The days were randomly chosen.
C) The Nearly Normal condition is met.
D) None of the conditions are met.
2) Find the 98% confidence interval for the true average wind speed.
3) Does the above confidence interval provide evidence that a wind turbine would be cost effective?
A) No, since the lower boundary is less than the required wind speed of 14 mph, it is possible the true average wind speed is less than 14 mph.
B) No, since the lower boundary is greater than the required wind speed of 14 mph, there is evidence the true average wind speed is greater than 14 mph.
C) Yes, since the lower boundary is greater than the required wind speed of 14 mph, there is evidence the true average wind speed is greater than 14 mph.
D) Yes, since the lower boundary is less than the required wind speed of 14 mph, it is possible the true average wind speed is less than 14 mph.

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

a and c

step-by-step explanation:

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c