The blueprints for a home are a 1/10 scale drawing.if the actual living room is 10feet by15 feet,what is the area of the room on the blueprint?

The area of the room on blueprint is 1.5 feet by 1 feet.

Step-by-step explanation:

The blue prints for a home are a scale drawing.

If the actual living room is 10 feet by 15 feet.

To find the area of the room on the blueprint, we have to calculate of the actual size.

Actual length of the room = 15 feet

On the blueprint = 15 × = 1.5 feet

Actual width of the room = 10 feet

On the blueprint  = 10 ×  = 1 feet.

The area of the room on blueprint is 1.5 feet by 1 feet.

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Step-by-step explanation:

For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

The phone lines to an airline reservation system are occupied 61% of the time.

This means that

If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

This is P(X = 5) when n = 11. So

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls