Answer:
0.0906
Step-by-step explanation:
Given that the prevalence of a certain type of tree allergy is 0.26 in the general population
X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.
Here n = 100
Required probability = the probability that exactly 26 of them will have this allergy
=
The proportion of production that is defective and from plant A is
... 0.35·0.25 = 0.0875
The proportion of production that is defective and from plant B is
... 0.15·0.05 = 0.0075
The proportion of production that is defective and from plant C is
... 0.50·0.15 = 0.075
Thus, the proportion of defective product that is from plant C is
... 0.075/(0.0875 +0.0075 +0.075) = 75/170 = 15/34 ≈ 44.12%
_____
P(C | defective) = P(C&defective)/P(defective)
45/60 and 10/60 because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10
Answer:
6.33... and 0.333...
Step-by-step explanation:
The quadratic formula is
.
It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

We will now solve for the plus and the minus.
The plus,,,
and the minus...
