F(x) = ( x + 3 ) ^2 + 78 is your answer.
f(7)≈1.6666 Please mark me as brainliest
round
f(7)=1.67
The domain of the function is the set of all the values of x that would allow the function to have real values. Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number. Thus, the domain should be all numbers GREATER than or equal to 3.
Answer: Our required probability is 0.1695.
Step-by-step explanation:
Since we have given that
Number of male applicants = 4200
Number of female applicants = 3800
So, total number of applicants = 4200+3800 = 8000
Probability of male entered and subsequently enrolled is given by
![0.4\times 0.4=0.16](https://tex.z-dn.net/?f=0.4%5Ctimes%200.4%3D0.16)
Probability of female entered and subsequently enrolled is given by
![0.4\times 0.45\\\\=0.18](https://tex.z-dn.net/?f=0.4%5Ctimes%200.45%5C%5C%5C%5C%3D0.18)
Number of male entered and subsequently enrolled is given by
![0.16\times 4200\\\\=672](https://tex.z-dn.net/?f=0.16%5Ctimes%204200%5C%5C%5C%5C%3D672)
Number of female entered and subsequently enrolled is given by
![0.18\times 3800\\\\=684](https://tex.z-dn.net/?f=0.18%5Ctimes%203800%5C%5C%5C%5C%3D684)
So, Probability that a student who applied for admission will be accepted by the university and subsequently will enroll is given by
![\dfrac{672+684}{8000}\\\\=\dfrac{1356}{8000}\\\\=0.1695](https://tex.z-dn.net/?f=%5Cdfrac%7B672%2B684%7D%7B8000%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1356%7D%7B8000%7D%5C%5C%5C%5C%3D0.1695)
Hence, our required probability is 0.1695.
1/12 is the square root of 1/144
The answer is 28 sq. Units