You sell and service vacuum cleaners. your price on a particular model is $125. however, to get a service contract, you offer to sell it for $115. how much discount are you giving as a percentage of price (to the nearest tenth)?

The discount percent is 8%.

Step-by-step explanation:

The actual price of the model = $125

The offer price of the model = $115

So, the discount percent will be equal to the difference of both prices, divided by the actual price and multiplied by 100.

This becomes: %

Hence, the discount percent is 8.0%

0.647 = 64.7% probability that none of them has lost electricity in his/her household

Step-by-step explanation:

For each household, there are only two possible outcomes. Either they lost electricity, or they did not. The probability of a household losing electricity is independent of any other household. This means that the binomial probability distribution is used 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.

A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city.

This means that

6 members

This means that

What is the probability that none of them has lost electricity in his/her household?

This is P(X = 0). So

0.647 = 64.7% probability that none of them has lost electricity in his/her household