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:
COMMUTATIVE PROPERTY
a+b=b+a
so with given numbers
5+3=3+5 is the answer.
Step-by-step explanation:
hope it will help :)
Answer:
Slope =
y-intercept = 2
Equation of the line 't':
Step-by-step explanation:
Slope of a line passing through two points and is represented by,
Slope 'm' =
Since line 't' is passing through two points (0, 2) and (8, -4),
Slope of the line 't' =
m =
m =
Since y-intercept of a line is the value of 'y' for x = 0 [from point (0, 2) lying on this line]
Therefore, Y-intercept of line 't' = 2
Slope intercept of an equation is,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, equation of the line 't' will be,
Answer:
a d e
Step-by-step explanation:
i think thats it sorry if im wrong
Answer:
<h2><em><u>-2x</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>7y</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
5x– 4у + 3y+8y – 7х
<em>[Bringing like terms together]</em>
= 5x - 7x - 4y + 3y + 8y
<em>[</em><em>Adding</em><em> </em><em>and</em><em> </em><em>subtracting</em><em> </em><em>the</em><em> </em><em>like</em><em> </em><em>terms</em><em>]</em>
= <em><u>- 2x + 7y (Ans)</u></em>