Answer:
The null hypothesis is: 
The alternative hypothesis is: 
Step-by-step explanation:
At the null hypothesis, we test if the mean is equal to a certain value.
At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.
This means that the null hypothesis is:
Could it be that the average tuft strength is above 100 lb?
The world above means that the appropriate alternative hypothesis is:
Answer:
Step-by-step explanation:
The directrix y=-6 is parallel to the x axes, so parabola has equation of the form
where 
is the vertex of parabola and p is parabola's parameter.
By the definition, 
is the distance from the vertex to the directrix, so
Hence, the equation of parabola is
See attached diagram for the graph of parabola and its directrix.
In vertex form this equation is
Answer:
the answer is 144 feet
Step-by-step explanation:
to find the how long each sides of the square is divide 48 by 4 (because that's how many sides there are on a square). by doing that you get 12
to find the area of the square you do A= lw which in this case it would look something like this:
A= 12(12) you use 12 twice because square sides are always equal
then you multiply which gives you A= 144
Answer:
x = 4
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2)
Distributive property
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
1.5x - 4.5x = -9 -3
-3x = -12
x = 4
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