hope it really helps......!!!!!
47 -14i
You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...
... = (6-i)(5 + 3-i)
... = (6 -i)(8 -i)
This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.
... = 6·8 -6i -8i +i²
... = 48 -14i -1
... =
_____
A suitable graphing calculator will work these complex number problems easily.
Answer:
percentage of professional professor are 75
Step-by-step explanation:
Given data
academic professors A = 60%
professors tenured P = 70%
professors at Paracelsus University = 90%
to find out
what percent of the professional professors
solution
we know 90% of the professors are academic professors or tenured or both so we can say percent of academic professors = 60 + 70 - 90 = 40
because here
total = A + P - both
90 = 60 + 70 - both
both = 40
so professors tenured will be here 70 - 40 = 30
so
percentage of professional professor are = 30 / 40 × 100
percentage of professional professor are 75
The slope is 2. slope is change in the y values divided by change in x values
240 homes in the county are between $175,000 and $225,000.
The image attached is associated with this question and m in it refers to the mean value which is $225000 here and d refers to the standard deviation which is $25000 here.
Now since m= $225000
and $175000= $225000-$50000= $225000-(2* $25000)= m-2d
Thus, as per the image area covered between m and m-2d= $225000
and $175000 is (34%+14%)of 500 homes= 68% of 500= 240 homes, is the answer.
A random variable X is said to follow a normal distribution if its parameters are mean and standard deviation. Every other distribution can be reduced to a normal distribution.
Learn to know more about normal distributions on brainly.com/question/4079902
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