Answer:
Step-by-step explanation:
<u>The center is given:</u>
<u>Find the radius, the distance from the center to a point (2, 6)</u>
- r² = (2 - (-1))² + (6 - 2)² = 3² + 4² = 25
- r = √25 = 5
<u>Use circle formula:</u>
- (x - h)² + (y - k)² = r²
- (x - (-1))² + (y - 2)² = 5²
- (x + 1)² + (y - 2)² = 25
Answer:
Step-by-step explanation:
Value of the edge of the square=d
Answer:
Any more info?
Step-by-step explanation:
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
