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
Answer: C
Step-by-step explanation:
They are alternate interior angles.
Answer:
2, 3, 5, 7 and 11 are the first few prime numbers.
Step-by-step explanation:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
Answer:
Rate or speed=3 Miles per hour
Step-by-step explanation:
Brad walked 2.5 miles in 5/6 of an hour.
Distance covered by Brad = 2.5 miles
Distance covered by Brad= 2 1/2 miles
Distance covered by Brad= 5/2 miles
Time taken to cover the distance = 5/6 of an hour
His rate of walking or how fast he walks is determined by the formula
Rate or speed= distance/time
Rate or speed=( 5/2)/(5/6)
Rate or speed= (5/2)*(6/5)
Rate or speed=6/2
Rate or speed=3 Miles per hour
Answer:
Step-by-step explanation:
The solution of the given functions would be the point of intersection of the two functions, then by graphing linear functions.
For the given function:
