Mode is the number that occurs the most so here the mode is 56
Hello from MrBillDoesMath!
Answer:
(1/8) ( 7 + sqrt(481) )
(1/8) ( 7 - sqrt(481) )
Discussion:
The equation is equivalent to 4x^2 - 7x -27 = 0 (as 3 + 24 = 0), Using the quadratic formula:
x = ( - (-7) +\- sqrt ((-7)^2- 4*4*(-27)) )/ (2*4)
= (1/8) ( 7 +\- sqrt(49+ 432) ) =
= (1/8) ( 7 +\- sqrt(481))
Regards,
MrB
Answer:
b) 24
Step-by-step explanation:
We solve building the Venn's diagram of these sets.
We have that n(S) is the number of succesful students in a classroom.
n(F) is the number of freshmen student in that classroom.
We have that:
In which n(s) are those who are succeful but not freshmen and 
are those who are succesful and freshmen.
By the same logic, we also have that:
The union is:
In which
So
So the correct answer is:
b) 24
Answer:
The expression in simplified radical form is:
√ 25 –2√3 + √27 +2√ 9 = 11 + √3
Step-by-step explanation:
Given the expression
√ 25 –2√3 + √27 +2√ 9
as
√ 25 = 5
√27 = 3√3
2√9 = 6
so the expression becomes
√ 25 –2√3 + √27 +2√ 9
= 5 - 2√3 + 3√3 + 6
= 11 + √3
Thus, the expression in simplified radical form is:
√ 25 –2√3 + √27 +2√ 9 = 11 + √3
