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disa [49]
3 years ago
9

If two orders are​ selected, find the probability that they are both from Restaurant D. a. Assume that the selections are made w

ith replacement. Are the events​ independent? b. Assume that the selections are made without replacement. Are the events​ independent?
Mathematics
1 answer:
Katena32 [7]3 years ago
8 0

Answer:

The probability is

nothing.

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PA is a tangent, PBC is a secant, AOC is a diameter, AD and DC are chords

Angle APC = 57, Angle DC = 34

<em>[measurements are in degrees]</em>

(A) Arc BA = 66

Since AOC is a diameter, Arc AC is 180. Angle APC is equal to half the difference between BA and AC.

APC = 1/2 (AC - BA)

57 = 1/2 (180 - BA)

114 = 180 - BA

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(B) Arc BD = 80

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BD = 360 - BA - AC - DC

BD = 360 - 180 - 66 - 34

BD = 80

(C) Angle ACD = 73

ACD is half of ABD, which is BA plus BD.

ACD = 1/2 (BA + BD)

ACD = 1/2 (66 + 80)

ACD = 1/2 * 146

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(D) Angle BED = 130

BED is the same as AEC, which is 180 minus ECA and EAC.

ECA is half BA, and EAC is half DC.

BED = 180 - 1/2 BA - 1/2 DC

BED = 180 - 1/2 * 66 - 1/2 * 34

BED = 180 - 33 - 17

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PCA = 1/2 BA

PCA = 1/2 * 66

PCA = 33

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PAD is half ABD, which is BA plus BD.

PAD = 1/2 (BA + BD)

PAD = 1/2 (66 + 80)

PAD = 1/2 * 146

PAD = 73

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viva [34]

Answer:

b

Step-by-step explanation:

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