Katie purchased a box of greeting cards with assorted designs. The box contains two cards of each design: landscape, candles, bells, flowers, birds, and butterflies. She selects one card at random from the box, records the outcome, and puts it back in the box. Select the correct probability model that represents the situation.
A.
S = {landscape, candles, bells, flowers, birds, butterflies}
P(landscape) = , P(candles) = , P(bells) = , P(flowers) = , P(birds) = , P(butterflies) =

B.
S = {landscape, candles, bells, flowers, birds, butterflies}
P(landscape) = , P(candles) = , P(bells) = , P(flowers) = , P(birds) = , P(butterflies) =

C.
S = {landscape, candles, bells, flowers, birds, butterflies}
P(landscape) = , P(candles) = , P(bells) = , P(flowers) = , P(birds) = , P(butterflies) =

D.
S = {landscape, candles, bells, flowers, birds, butterflies}
P(landscape) = , P(candles) = , P(bells) = , P(flowers) = , P(birds) = , P(butterflies) =

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

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step-by-step explanation:

lele

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