Answer:
x = 11
Step-by-step explanation:
Using Secants ad Segments Theorem we can say;
(x + 7) (7) = (15 + 6) (6)
7x + 49 = (21) (6)
7x + 49 = 126
7x = 77
x = 11
Hope this helps!
Answer: a) There are 42% chances that both units will meet their objectives.
b) There are 88% chances that one or the other but not both of the units will be successful.
Step-by-step explanation:
Since we have given that
Probability that the Red unit will successfully meet its objectives = 60% = P(R)
Probability that Blue unit will successfully meet its objectives = 70% = P(B)
Probability that only Red unit will be successful = P(only Red) = 18%
As we know that
![P(only\ red)=P(R)-P(R\cap B)\\\\0.18=0.60-P(R\cap B)\\\\0.18-0.60=-P(R\cap B)\\\\-0.42=-P(R\cap B)\\\\P(R\cap B)=42\%](https://tex.z-dn.net/?f=P%28only%5C%20red%29%3DP%28R%29-P%28R%5Ccap%20B%29%5C%5C%5C%5C0.18%3D0.60-P%28R%5Ccap%20B%29%5C%5C%5C%5C0.18-0.60%3D-P%28R%5Ccap%20B%29%5C%5C%5C%5C-0.42%3D-P%28R%5Ccap%20B%29%5C%5C%5C%5CP%28R%5Ccap%20B%29%3D42%5C%25)
Hence, there are 42% chances that both units will meet their objectives.
the probability that one or the other but not both of the units will be successful is given by
![P(R\cup B)=P(R)+P(B)-P(R\cap B)\\\\P(R\cup B)=0.60+0.70-0.42\\\\P(R\cup B)=0.88\\\\P(R\cup B)=88\%](https://tex.z-dn.net/?f=P%28R%5Ccup%20B%29%3DP%28R%29%2BP%28B%29-P%28R%5Ccap%20B%29%5C%5C%5C%5CP%28R%5Ccup%20B%29%3D0.60%2B0.70-0.42%5C%5C%5C%5CP%28R%5Ccup%20B%29%3D0.88%5C%5C%5C%5CP%28R%5Ccup%20B%29%3D88%5C%25)
Hence, there are 88% chances that one or the other but not both of the units will be successful.