Answer:
m∠ACD=124°
Step-by-step explanation:
∠mACD +m∠DCB=180°
2x+8+x-2=180
3x+6=180
3x=174
x=58
m∠ACD=2x+8=2*58+8=124
m∠ACD=124°
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Answer:
a) 0.623 (62.3%)
b) 0.764 (76.4%)
c) 0.6 (60%)
Step-by-step explanation:
a) defining the event F= the product is favorable , then the probability is
P(F) = probability that the study was sponsored by food industry * probability that the product is favorable given that it was sponsored + probability that the study had no corporate ties * probability that the product is favorable given that it was not sponsored = 0.70 * 0.68 + 0.30 * 0.49 = 0.623
b) for conditional probability we use the theorem of Bayes , then defining the event S= the study was sponsored by the food industry , we have:
P(S/F)=P(S∩F)/P(F)= 0.70 * 0.68/0.623 = 0.764 (76.4%)
where
P(S∩F)=probability that the study was sponsored by food industry and the product was found favorable
P(S/F)=probability that the study was sponsored by food industry given that the product was found favorable
c) for U= the product was found unfavourable , doing the same procedure as in a)
P(U)= 0.70 * 0.10 + 0.30 * 0.35 = 0.175
and the corresponding conditional probability is
P(N/U)=P(N∩U)/P(U)= 0.30 * 0.35 / 0.175 = 0.6 (60%)
where N represents the event = the study had no industry funding
Answer:
300 in³
Step-by-step explanation:
Hello There!
The prism shown is a rectangular prism
The formula for volume of a rectangular prism is
where l = length w = width h = height
so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula
so
Answer:
d
Step-by-step explanation:
