Consider the endothermic reactions in the table below. Final Temperature Conditions Heat Absorbed (cal)
Below Target Above Target
266 K 13 40
271 K 44 17
274 K 56 36
Let denote the event that a reaction's final temperature is 271 K or less. Let denote the event that the heat absorbed is above target. Determine the following probabilities.
A) P(AUB).
B) P(A'UB').
C) Use the total probability rule to determine P(A).

0.277

0.723

0.553

Step-by-step explanation:

Given the data:

Final temp condtn__ below target __above

266K 13 40

271 K 44 17

274 K 56 36

A = final temp ≤ 271K : {44, 40, 13, 17}

Total = {13 + 40 + 44 + 17 + 56 + 36}= 206

B = heat absorbed is above target : {40, 17, 36}

P(AuB) :

AuB = {40, 17} = (40 + 17) = 57

P(AuB} = (AuB) / total = 57 /206 = 0.277

A' = {36, 56,}

B' = {13, 44, 56}

(A'uB') = {36 + 56 + 13 + 44} = 149

P(A'uB') = 149 / 206 = 0.723

P(A) = (44 + 40 + 13 + 17) / 206 = 0.553

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: