Answer:
(C) 10% to 70%(
Step-by-step explanation:
Given that at least 40% of the students are learning German, the upper limit of those who might be enrolled in English but not in German is 60%. However, since a minimum of 70% study English, it leads to the conclusion that at least 10% of students must be taking both German and English.
If we consider that at least 30% of students are learning Italian, and assuming that no student is studying all three languages simultaneously, then there is a maximum of 70% of students who could potentially be registered in both English and German.
This means the possible percentage for students enrolled in both English and German ranges from 10% to 70%
Answer:
To summarize the answer:
Step-by-step explanation:
Given:
Here is the graph associated with this question:
The second function, denoted as 
, does not qualify as a function.
Keep in mind that the g(x) function is the inversion of the f(x) function. Recognizing this pattern indicates a reflection on the Y-axis.
Reflection on the axes:
In the x-axis:
Enhance the function by -1 to illustrate an exponential curve around the x-axis.
In the y-axis:
Decrease the input of the function by -1 to depict the exponential function around the y-axis.
Answer:
3876
Step-by-step explanation:
We have the following data:
Members of the fraternity = 20
Their attendance at five parties is organized into groups of four.
This indicates that each group consists of 4 individuals.
At least one brother will be present at exactly one of the gatherings. (The brothers are indistinguishable).
Thus, precisely one brother at a gathering leaves (20 - 1) = 19, due to their indistinct nature.
Group sizes are in fours.
Calculating 19C4:
From: nCr = n! /(n-r)! r!
19C4 = 19! / (19 - 4)! 4!
= 19! / 15! 4!
= (19 * 18 * 17 * 16) / (4 * 3 * 2)
= 93024 / 24
= 3876
8x²-8x+2-5+x reduces to 8x² - 7x - 3
Therefore, we find g = 7 and h = 3
The expression evaluates to 54.
