Step-by-step explanation: Since we have given, P(A) = 0.75 and P(A|B) =0.8 .
So, P(A∩B) = P(B|A)× P(A) = 0.8×0.75 =0.6 .
We have given P(B|A') = 0.6
P(A’∩B) = P(B|A')×P(A') = 0.6 × 0.25 = 0.15.
P(B) = P(A∩B) + P(A'∩B) = 0.6 + 0.15 = 0.75.
=> P(A|B) = (∩)()=0.60.75
P
(
A
∩
B
)
P
(
B
)
=
0.6
0.75
= 0.8 .
X is greater than or equal to 8
x is greater than or equal to 2
Answer:
Since their corresponding angles are congruent and the corresponding sides are in proportion
Step-by-step explanation:
For ABD,
Sin (B) = (AD ÷ AB) =1
∴ AD = AB
and if AD = AB
⇒ AD = AC (since AD 1 CB).
From triangle ACD,
Sin(C) = (AD ÷ AC)
Since AD = AC , Hence Sin (B) = Sin (C) = 1
Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)
Answer:
a. Concentration of nitrogen in water draining from fertilized lands
b. Quantitative
c. Water draining from fertilized lands
Step-by-step explanation:
a. Here we are evaluating the Concentration in miligrams of Nitrogen per liter of water, that drains from fertilized lands.. So thats what is defined as the variable.
b. When we talk about qualitative variblaes, we refer to variables that we can't define with numbers. For example the colour of a car, that's a qualitative variable. In this problem, can put a number on the nitrogen concetration. When we can measure the variable with numbers we consider it to be a quantitative variable. Therefore this is a quantitative variable
c. The implied population is the population where we want to interfer the analysis. In here we want to know the concentration of water draining from fertilized lands. So we are using random samples from a lake, and we extrapolate that analysis to a bigger universe, that it´s the water draining from fertilized lands