Apsychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. in the experiment, 300 people were presented with a set of five pictures arranged in random order. each person was asked to choose the most appealing picture. of the first 150 participants, 36 chose the first picture in the set. among the remaining 150 participants, p people chose the first picture in the set. if more than 20%of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p ?

a. p is greater than, 0.20 times, open parenthesis, 300 minus 36, close parenthesis, where p is less than or equal to 150
b. p is greater than, 0.20 times, open parenthesis, 300 plus 36, close parenthesis, where p is less than or equal to 150
c. p minus 36 is greater than, 0.20 times 300, where p is less than or equal to 150
d. p plus 36 is greater than, 0.20 times 300, where pis less than or equal to 150

Option D.

Step-by-step explanation:

First, let's do a little review of this excersice. Of the first 150 participants, 36 chose the first picture, and of the other 150 participants, p chose the first picture in the set.

Hence, the proportion of the participants who chose the first picture in the set is 36 300 p. Since more than 20% of all the participants chose the first picture, it follows that 36 0.20 300 !p . This inequality can be rewritten as p + 36 > 0.20(300). Since p is a number of people among the remaining 150 participants, p ≤ 150.  

Choices A, B, and C are incorrect and may be the result of some incorrect interpretations of the given information or of computational errors.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

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: