A secant is a line that intersects a circle in exactly two points. When a tangent and a secant, two secants, or two tangents intersect outside a circle than the measure of the angle is formed is one-half the positive difference of the measures of the intercepted arcs.
Answer:
You can decide where to put the first digit because you know 153 doesn't fit into 6 or 61. But you know it can fit into 613. You put it there.
The answer to question 3 is D. 15(4a+3). And the answer to question 4 is A. 90. Have a great day
Answer: 0.4758
Step-by-step explanation:
Given : Mean : ![\mu=137\text{ lb}](https://tex.z-dn.net/?f=%5Cmu%3D137%5Ctext%7B%20lb%7D)
Standard deviation : ![\sigma =28.9\text{ lb}](https://tex.z-dn.net/?f=%5Csigma%20%3D28.9%5Ctext%7B%20lb%7D)
Also, the new population of pilots has normally distributed .
The formula to calculate the z-score :-
![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x=130 lb .
![z=\dfrac{130-137}{28.9}=-0.2422145\approx-0.24](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B130-137%7D%7B28.9%7D%3D-0.2422145%5Capprox-0.24)
For x=171lb.
![z=\dfrac{171-137}{28.9}=1.1764705\approx1.18](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B171-137%7D%7B28.9%7D%3D1.1764705%5Capprox1.18)
The p-value =![P(-0.24](https://tex.z-dn.net/?f=P%28-0.24%3Cz%3C1.18%29%3DP%28z%3C1.18%29-P%28z%3C-0.24%29)
![=0.8809999-0.4051651=0.4758348\approx0.4758348\approx0.4758](https://tex.z-dn.net/?f=%3D0.8809999-0.4051651%3D0.4758348%5Capprox0.4758348%5Capprox0.4758)
Hence, the required probability : 0.4758