Answer:
No. A trapezoid is a shape with four sides, while a hexagon is a shape with six sides.
Step-by-step explanation:
Answer:
Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction.
Step-by-step explanation:
Answer:
Required Probability =0.421
Step-by-step explanation:
Let's first arrange the data given in a more presentable way: So, we have the following probabilities for different categories.
Underweight (UW) = 0.019
Healthy Weight (HW) = 0.377
Overweight but Not Obese (NO) = 0.35
Obese (O) = 0.254
<em>Now, let's calculate the probability that a randomly selected American adult who weighs more than the healthy weight range is obese:</em>
Required Probability = Probability(obese)/Probability(Overweight + Obese)
= P (O) /P(NO + O)
=0.254/(0.35+0.254)
Required Probability =0.421
where, O for Obese and NO for Not Obese or Overweight but Not Obese.
So, the correct answer = 0.421
Answer:
Step-by-step explanation:
Let us denote probability of spoilage as follows
Transformer spoilage = P( T ) ; line spoilage P ( L )
Both P ( T ∩ L ) .
Given
P( T ) = .05
P ( L ) = .08
P ( T ∩ L ) = .03
a )
For independent events
P ( T ∩ L ) = P( T ) x P ( L )
But .03 ≠ .05 x .08
So they are not independent of each other .
b )
i )
Probability of line spoilage given that there is transformer spoilage
P L/ T ) = P ( T ∩ L ) / P( T )
= .03 / .05
= 3 / 5 .
ii )
Probability of transformer spoilage but not line spoilage.
P( T ) - P ( T ∩ L )
.05 - .03
= .02
iii )Probability of transformer spoilage given that there is no line spoilage
[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )
= .02 / 1 - .08
= .02 / .92
= 1 / 49.
i v )
Neither transformer spoilage nor there is no line spoilage
= 1 - P ( T ∪ L )
1 - [ P( T ) + P ( L ) - P ( T ∩ L ]
= 1 - ( .05 + .08 - .03 )
= 0 .9
