Two groups separately performed an experiment by tossing a coin in the air. Group X performed 50 trials and group Y performed 100 trials. Each group recorded the results in the table below: Group Heads Tails X 33 17 Y 53 47 What conclusion can be drawn about the number of trials and the probability of the coin landing on heads or tails? The experimental probability is closer to the theoretical probability for group Y than group X. The experimental probability and the theoretical probability for group X is the same. The experimental probability and the theoretical probability for group Y is the same. The experimental probability is closer to the theoretical probability for group X than group Y.

D. The experimental probability is closer to the theoretical probability for group H than group G.

With any experimental probability, the more trials that are done will make the experiment move more likely to be the theoretical probability. in this case, the theoretical probability for flipping a coin is 50 heads 50 tails which H is closer to. any statistical data the more data collected the more close to reality it is.

Step-by-step explanation:

B. The experimental probability and the theoretical probability for group X is the same.

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9