In a survey of 105105 resorts it was found that 3333 5858 42

In a survey of

105105

resorts, it was found that

3333

5858

4242

1616

99

1919

77

Complete parts a) through

e).

a) How many of the resorts surveyed had only a spa?

nothing

(Type a whole number.)

b) How many of the resorts surveyed had exactly one of these features?

nothing

(Type a whole number.)

c) How many of the resorts surveyed had at least one of these features?

nothing

(Type a whole number.)

d) How many of the resorts surveyed had exactly two of these features?

nothing

(Type a whole number.)

e) How many of the resorts surveyed had none of these features?

nothing

(Type a whole number.)

3333

had a spa.

5858

had a fitness center.

4242

had a children\'s club.

1616

had a spa and a fitness center.

99

had a spa and children\'s club.

1919

had a fitness center and children\'s club.

77

had all three features.

Solution

a) only spa = spa - spa and fitness centre - spa and children\'s club + all three

                  = 33 - 16 - 9 + 7

                   = 15

b) only fitness centre = fitness centre - fitness centre and spa - fitness centre and children\'s club + all three

                                   = 58 - 16 - 19 + 7

                                   = 30

only children\'s club = children\'s club - children\'s club and spa - children\'s club and fitness centre + alll three

                               = 42 - 9 - 19 + 7

                              = 21

So, exactly one of the feature = only spa + only fitness centre + only children\'s club

                                                = 15 + 30 + 21

                                                = 66 (ans)

c) at least one = spa + fitness centre + children\'s club - spa and fitness centre - apa and children\'s club - fitness centre and children\'s club + all three

                        = 33 + 58 + 42 - 16 - 9 -19 + 7

                         = 96

d) exactly two of the feature = only spa and fitness centre + only spa and children\'s club + only fitness centre and children\'s club

                                             = (spa and fitness centre - all three) + (apa and children\'s club - all three) + (fitness centre and children\'s club - all three)

                                            = 16 - 7 + 9 - 7 + 19 - 7

                                           = 23

e) none of these feature = 105 - 96

                                       = 9

In a survey of 105105 resorts, it was found that 3333 5858 4242 1616 99 1919 77 Complete parts a) through e). a) How many of the resorts surveyed had only a spa
In a survey of 105105 resorts, it was found that 3333 5858 4242 1616 99 1919 77 Complete parts a) through e). a) How many of the resorts surveyed had only a spa

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