Answer:
C. Region B
Step-by-step explanation:
Since you already have the graphs of the lines, you only need to shade the proper area.
For the first equation, since y is less or equal than x-2 you have to shade the bottom part of the line.
For the second one, since y is more or equal to 1/4x+4 you have to shade the upper part of the line.
The answer is the region where the to shaded parts intersects each other.
Answer:
So the expression in simplified radical form will be
Step-by-step explanation:
We have have given the expression
We have to write this expression in simplest radical form
For writing in simplest radical form we have to rationalize first
So after rationalizing
So the expression in simplified radical form will be
Check the picture below, the height there uses feet, but nevermind that, we can simply let it be meters, like in this case.
how hight does it go? well, that'd be the y-coordinate of the vertex.
how long does it take? well, that'd be the x-coordinate of the vertex.
Answer:
792
Step-by-step explanation:
₁₂C₅ = (12!) / (5! (12-5)!)
₁₂C₅ = (12!) / (5! 7!)
₁₂C₅ = 792
Answer:
the probability that this employee belongs to group I is 0.2118
Step-by-step explanation:
Given the data in the question;
P( group 1 ) = 0.20
P( group 11 ) = 0.60
P( group 111 ) = 0.20
now
= 0.10
= 0.90
= 0.20
= 0.80
= 0.05
= 0.95
so
= [ × P( group 1 ) ] / [ × P( group 1 ) + × P( group 11 ) + × P( group 111 ) ]
we substitute
= [ 0.90×0.20 ] / [ 0.90×0.20 + 0.80×0.60 + 0.95×0.20
= 0.18 / [ 0.18 + 0.48 + 0.19 ]
= 0.18 / 0.85
= 0.2118
Therefore, the probability that this employee belongs to group I is 0.2118