Answer:
A. -68
B. 37
C. -61
D. 171
Step-by-step explanation:
Rule for A, B, D: 2 negatives is the same as addition
(how I did C: add them together then add the negative)
Given that the metal strip is being installed around a bench that 6ft long 2ft wide. The metal required will be given by:
P=4(L+W)
=4(6+2)
=4(8)
=32 ft
Therefore we conclude that we need a metal strip that is 32ft long
Answer:
For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis:
Or equivalently:
Null hypothesis: 
Alternative hypothesis:
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis:
Or equivalently:
Null hypothesis: 
Alternative hypothesis:
Answer:
; minimum
Step-by-step explanation:
Given:
The function is, 
The given function represent a parabola and can be expressed in vertex form as:

The vertex form of a parabola is
, where,
is the vertex.
So, the vertex is
.
In order to graph the given parabola, we find some points on it.
Let 




So, the points are
.
Mark these points on the graph and join them using a smooth curve.
The graph is shown below.
From the graph, we conclude that at the vertex
, it is minimum.
Answer:
Step-by-step explanation:
you have a special triangle 30-60-90
the ration in this traingle is x, x
, 2x, where 2x is the hypothenuse
the hypothenuse is 12
x=12/2=6
the other leg is 6
=10.39