Answer:
Explanation:
In a right triangle the angle between the hypotenuse and the adjacent leg to the angle are related by the trigonometric ratio cosine.
Cosine is the ratio of the adjacent leg to the hypotenuse:
In the right triangle ART, AT is the hypotenuse, AR is the ajacent leg to the angle 66º, and RT is the opposite leg to the angle 66º.
Then, the length of AT and 12.5 is related by the cosine ratio:
Multiplying both sides of the equation by 12.5in:
← answer
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:
0.4
Step-by-step explanation:
you just have to divide
2÷5=0.4
Answer:7
Step-by-step explanation:
N=8
Divide:56/8=7
Answer:
10 g^4 h^9
Step-by-step explanation:
-5gh^4 * (-2g^3 h^5)
Rewriting
-5*-2 g*g^3 h^4*h^5
When the bases are the same, we add the exponents (x^a * x^b = x^ (a+b)
There is an implied 1 if there is no exponent
-5*-2 g^1*g^3 h^4*h^5
10 * g^(1+3) h^(4+5)
10 g^4 h^9
