Answer:
x=-2
Step-by-step explanation:
2x+1=(-3)
-1 on both sides
2x=-4
÷2 on both sides
x=-2
Hope this helps =]
Answer:
a. The Venn diagram is explained in the attached word file.
0.61
b. Not independent
Step-by-step explanation:
a. The hypothetical 1000 table for given situation is
Adult(A) Not Adult (not A) Total
Travel outside (T) 610 170 780
Not Travel outside (not T) 110 110 220
Total 720 280 1000
P(Adult and travel outside)=P(A and T)=610/1000=0.61
b. Multiplication rule for independent events is
P(A and B)=P(A)*P(B)
P(A and T)=0.61
P(A)*P(T)=0.72*0.78=0.56
As P(A and T) is not equal to P(A)*P(T), so event "being an adult" and "travel outside" are not independent.
Answer:
0.3
Step-by-step explanation:
Answer:
<em>( </em>
<em> , </em>
<em> ) </em>
Step-by-step explanation:
( 
, 
)
( 
, 
)
Coordinates of midpoint are
( 
, 
)
~~~~~~~~~~~~~~~~~~~~
The figure is right triangle.
The circumcenter is the middle of the hypotenuse.
( - 2, 4 )
( 1 , - 1 )
<em>( </em><em> , </em><em> ) </em>
Answer:
48 ≥ 4x + 2y
44 ≥ 2x + 2y
First, we will look at assembling hours.
"The standard model requires 4 hours to assemble [<em>and</em>] the artisan model requires 2 hours to assemble"
We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.
48 = 4x + 2y
Lastly, they do not <em>need</em> to make that many, but they <em>can</em> so we will use greater than or equal to.
48 ≥ 4x + 2y
Now let us look at finishing hours.
"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."
We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.
44 = 2x + 2y
Again, they do not <em>need</em> to make that many, but they <em>can</em> so we will use greater than or equal to.
44 ≥ 2x + 2y
