Answer:
If we rent the same car from both companies it would take 8 days
Step-by-step explanation:
Johnson's 50+2x
Martinez 30+4x
Answer:
9° F
Step-by-step explanation:
We do 18 - 9 to get 9 ° F
Answer:
$40
Step-by-step explanation:
Let the original price of the item be x.
From the first statement, the price of the item was reduced 25% to $30. This means that new price of the item is now 75% (0.75) of the original price(x), and this new price is equal to $30. i.e
0.75x = 30
Now, let's solve for x.
0.75x = 30 [divide both sides by 0.75]
= ![\frac{30}{0.75}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B0.75%7D)
x = 40.
Therefore, the original price of the item was $40
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