The time at which the cost for the services of the two companies would be in exactly 6 days. If we would compare the two charges, we would see that company A just charges 40 per day while B has a charge of 60, which is a standard fee, and a rate of 30 per day. So if we compute 40 x 6, we will have a total cost now of 240. If we compute 30 x 6, we will have a total cost now of 180 plus 60 which is the standard fee, and we will get 240. So in 6 days, the rates of the two companies would both accumulate to 240.
Answer:
0.3891 = 38.91% probability that only one is a second
Step-by-step explanation:
For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So 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.
17% of its goblets have cosmetic flaws and must be classified as "seconds."
This means that 
Among seven randomly selected goblets, how likely is it that only one is a second
This is P(X = 1) when n = 7. So


0.3891 = 38.91% probability that only one is a second
Answer:
21 + 12i
Step-by-step explanation:
Given
(3 - 4i)(1 + 5i) - (2 - i) expand the product of factors
= 3 + 11i - 20i² - 2 + i
= 3 + 11i + 20 - 2 + i collect like terms
= 21 + 12i
Answer:
832
Step-by-step explanation:
If you have one group of 832, and put it into 1 group you get 832
1 inch= 2.54
6 inch= 15.24 becuase 2.54*6=15.24
Hope this helps!!