the central angle of sector g is 54°. the central angle of sector h is 27°. what is the probability that the…

the central angle of sector g is 54°. the central angle of sector h is 27°. what is the probability that the spinner does not land on either sector g or sector h? write your answer as a fraction or decimal. do not round.

the central angle of sector g is 54°. the central angle of sector h is 27°. what is the probability that the spinner does not land on either sector g or sector h? write your answer as a fraction or decimal. do not round.

Answer

Explanation:

Step1: Calculate the sum of central angles of (G) and (H)

The central angle of (G) is (54^{\circ}), and the central angle of (H) is (27^{\circ}). So the sum is (54 + 27=81^{\circ}).

Step2: Calculate the total central angle of the circle

The total central angle of a circle is (360^{\circ}).

Step3: Calculate the central angle of non - (G) and non - (H) regions

Subtract the sum of (G) and (H) from the total central angle: (360 - 81 = 279^{\circ}).

Step4: Calculate the probability

Probability (P=\frac{\text{Central angle of non - }G\text{ and non - }H}{\text{Total central angle}}). So (P=\frac{279}{360}=\frac{31}{40}=0.775).

Answer:

(0.775) (or (\frac{31}{40}))