A survey of households in the United States reveals that 96% have at least one television set, 98% have telephone service, and 95% have telephone service and at least one television set. What percentage of households in the United States have neither telephone service nor a television set?

Question

Mathematics

Andrew Douglas

23 August, 20:55

A survey of households in the United States reveals that 96% have at least one television set, 98% have telephone service, and 95% have telephone service and at least one television set. What percentage of households in the United States have neither telephone service nor a television set?

+1

Answers (1)

Know the Answer?

Anne Harris · Answer 1

1% of households in the United States have neither telephone service nor a television set

Step-by-step explanation:

According to the survey;

96% have at least one television set 98% have telephone service 95% have telephone service and at least one television set.

Using this,

98% who have telephone service - 95% who have telephone service and at least one television set

= 3% who have telephone service but not any television set.

Similarly,

96% have at least one television set - 95% who have telephone service and at least one television set

=1% who have at least one television set but not telephone service

Then,

3% who have telephone service but not any television set

+1% who have at least one television set but not telephone service

+95% who have telephone service and at least one television set

=99% who have either at least one television set or telephone service.

Finally

100% - 99% who have either at least one television set or telephone service

=1% who have neither telephone service nor a television set