The relation that is a function is relation (b)
<h3>How to determine the
relation that is a
function?</h3>
The ordered pairs in the option represent the given parameters
For a relation (i.e. the ordered pairs) to be a function, the following must be true:
Each y value on the ordered pair must have exactly one x value
i.e. no x value must point to the different y value
Having said that the relation that is a function is relation (b)
Hence, the the relation that is a function is relation (b)2
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The estimated area of the figure is 36 square foot.
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:
angle C, D, E = 46, 46, 88
Step-by-step explanation:
sum of angles in a triangle = 180
5x + 38 + 3x + 16 + 3x + 16 = 180
11x + 70 = 180
11x = 180 - 70
11x = 110
x = 110/11
x = 10
angle C = D = 3x + 16 = 3(10) + 16 = 30 + 16 = 46
angle E = 5x + 38 = 5(10) + 38 = 50 + 38 = 88
The point-slope form of the equation of a line of slope m through point (h, k) is given by
... y - k = m(x - h)
Substituting your given values, you have ...
... B. y - 5 = 3(x - 2)
