Aquarter back completes 29% of his passes. we want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. determine the probability that it takes more than 12 attempts before he completes a pass.

P12* = 0.0164 or 1.64%

Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%

Step-by-step explanation:

Given;

The quarterback's pass accuracy P= 29% = 0.29

The probability of not completing a particular pass P*

= 1 - 0.29 = 0.71

the probability that it takes more than 12 attempts before he completes a pass implies that the quarterback will not complete his first 12 pass attempts.

The probability that he will not complete the first 12 pass

P12* = (P*)^12

P12* = (0.71) ^12

P12* = 0.0164 or 1.64%

Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq