<span>The one-way ANOVA or one – way analysis of
variance is used to know whether there are statistically substantial
dissimilarities among the averages of three or more independent sets. It
compares the means between the sets that is being examined whether any of those
means are statistically pointedly dissimilar from each other. If it does have a
significant result, then the alternative hypothesis can be accepted and that
would mean that two sets are pointedly different from each other. The symbol, ∑
is a summation sign that drills us to sum the elements of a sequence. The
variable of summation is represented by an index that is placed under the
summation sign and is often embodied by i. The index is always equal to 1 and
adopt values beginning with the value on the right hand side of the equation
and finishing it with the value over head the summation sign.</span>
Answer:
6 , 1
5 , 2
4 , 3
Step-by-step explanation:
Just swap the numbers.
Answer:
-5 =x
Step-by-step explanation:
3^(x-1) = 9^(x+2)
Replace 9 with 3^2
3^(x-1) = 3^2^(x+2)
We know that a power to a power means the powers are multiplied
a^b^c = a^(b*c)
3^(x-1) = 3^(2x+2)
When the bases are the same, the powers have to be the same
x-1 = 2x+4
Subtract x from each side
x-x-1 =2x-x+4
-1 =x+4
Subtract 4 from each side
-1-4 =x+4-4
-1-4 = x
-5 =x
Answer:
Second option: On a coordinate plane, rectangle A'B'C'D' prime has points 
(See the graph attached)
Step-by-step explanation:
For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.
In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image) are the following:
Therefore, to find the vertices of the rectangle A'B'C'D' (The Image) that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:
Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.
