Answer:
4a^2 - 15b + 9b^2
Step by step explanation:
If you are factoring then the answer is 1/7 x (14z-97) but if your simplifying then it’s 2z- 97/7
For complex number, the magnitude is pretty straight forward:
sqrt(6^2 + 2^2) = sqrt(40)
For any a + bi, the magnitude will be sqrt(a^2 + b^2)
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

Probability of female entered and subsequently enrolled is given by

Number of male entered and subsequently enrolled is given by

Number of female entered and subsequently enrolled is given by

So, Probability that a student who applied for admission will be accepted by the university and subsequently will enroll is given by

Hence, our required probability is 0.1695.
Answer:
Step-by-step explanation:
From the question attached,
Given:
RT and PQ intersect at a point S.
RS = PS and ST = SQ
To prove :
RT = PQ
Statements Reasons
1). RS = PS and ST = SQ 1). Given
2). RS + ST = PS + SQ 2). Addition property
3). RS + ST = RT ; PS + SQ = PQ 3). Pair of line segments
4). RT = PQ 4). Substitution property