Solve using the elimination method. Also determine whether each system is consistent or inconsistent and whether the equations a
1 answer:
Answer:
System is inconsistent and equations are mutually dependent.
Step-by-step explanation:
Let divide each linear equation by its smallest coefficient:
By using the elimination method on variable x, the following equivalence appears:
Since one of the equation is a multiple of the other one, there is not an unique solution and equations are mutually depedent. The system is inconsistent.
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Answer:
If we reject the null hypothesis based on the evidence, then our conclusion should be Option c.
If we do not reject the null hypothesis based on the evidence, then our conclusion should be Option a.
Step-by-step explanation:
We are given that the FDA wants to set up a hypothesis test to show that the new drug is safe before approving it by assuming it to be unsafe.
So, Null hypothesis, = New drug is unsafe
Alternate Hypothesis, = New drug is safe
<em>Now, if we reject the null hypothesis based on the evidence, then our conclusion should be that : </em>
There is sufficient evidence to believe that the new drug is safe because rejecting null hypothesis means that alternate hypothesis is accepted with required evidence.
<em>And If we do not reject the null hypothesis based on the evidence, then our conclusion should be that : </em>
There is insufficient evidence to believe that the new drug is safe because not rejecting null hypothesis means that we are not ready with enough evidence to assume that new drug is safe.
Answer:
3.706 liters
Step-by-step explanation:
Hello
assuming that these measures correspond to the internal measures of the thermos,
we can calculate the volume as, the volume of a cylinder, which is given by
where r is the radius of the base, and h the height
also
Diameter=2r
r=Diameter/2
Step 1
let
h=8 in
base = diameter = 6 inch
r=diameter/2
r=6/2 inch,r=3 inch
Step 2
Put the values into the equation
Step 3
Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing
1 inch = 2.54 cm
1 litro = 1000 cubic centimeters
1 cubic inch = 16.3870 cubic centimeters
Step 4
Finally, convert cubic centimeters into liters
I can put 3.706 liters in the thermos
Have a good day