This is important because if you were to answer in complex fractions instead of its simplest form, you would have a tough time multiplying complex fractions together. You would get a HUGE denominator or numerator, which makes things difficult. It is important to write a fraction in its simplest form because of exactly that; making things simple. Would you rather multiply 64/132*64/132 or 1/2*1/2?
Answer:
test statistic.
Step-by-step explanation:
The chi-square (
) test is a non-parametric statistical test(also known as Goodness of fit test) which is used to determine if a distribution of observed frequencies differs from the expected frequencies.
Chi-square statistic uses either nominal (categorical) or ordinal level data.
Hence, When determining how well an observed set of frequencies fits an expected set of frequencies, the test statistic is
test statistic.
The volume of a box is equal to the product its width, length and height
V = whl
Since all of the sides are 4 inches, we end up with
V= 4*4*4
Simplify to V = 16*4 = 64.
If the volume of one box is 64:
V = 64
The volume of 12 boxes is 64 * 12.
12V = 768
Since the volume of 12 boxes is the same as the volume of the carton, the volume of the carton must be 768 cubic inches.
Answer:
(-1,-2)
Step-by-step explanation:
Generally, the absolute value function can be expressed like so:
f(x) = y = a|x-h|+k, where vertex: (h,k)
Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)
So the vertex is at (-1,-2)
Answer:

Step-by-step explanation:
A diagonal is defined in geometry as a line connecting to two non adjacent vertices.
Therefore, the minimum number of sides a polygon must have in order to have a diagonal n - 3 sides as the 3 comes from the originating vertex and the other two adjacent vertices
Given that the polygon has n sides, the number of diagonals that can be drawn from each of those n sides gives the total number of diagonals as follows;
Total possible diagonals = n × (n - 3)
However, half of the diagonals drawn within the polygon are the same diagonals drawn in reverse. Therefore, the total number of distinct diagonals that can be drawn in a polygon is given as follows;
