Answer:
The mode of the data set is 4.
Step-by-step explanation:
Hey there!
The <u>mode</u> of a data set is the most commonly occurring data value in that set.
To begin, we need to organize the data set in <u>increasing order</u>:
1, 1, 2, 3, 4, 4, 4, 6, 6, 10
Then, we can tally the <u>frequency</u> of each data value occurring in the data set:
1 - II
2 - I
3 - I
4 - III
6 - II
10 - I
We can see that there are three occurrences for the data value 4 — which is the most frequent occurrence — so 4 is our answer.
Learn more about <u>mode</u> here: brainly.com/question/11163338
Answer:
D. ASA
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.
Answer:
2(xy + 2)(x + 1) (C)
Step-by-step explanation:
2x^2y + 2xy + 4x + 4
= 2xy(x + 1) + 4(x + 1)
= (2xy + 4)(x + 1)
= 2(xy + 2)(x + 1)
Answer:
of fabric.
Step-by-step explanation:
-The amount of fabric needed is equivalent to the area of the two gardens.
-We calculate the combined areas as:
Hence, 5811.95 sq meters of fabric will be needed to cover the area of both gardens.
The answer is 21
By comparing the 4 vertices you can determine the rectangle x-length and y-length. The coordinate for the vertice is:
1,+4i
-2, +4i
-2, -3i
1, -3i
From the coordinate, you can see there are 2 x coordinate(1 and -2) and 2 y coordinate(4i and -3i) that used.
The x-length would be: 1 - (-2)= 3
The y-length would be: 4i- (-3i)= 7i
Then the area of the rectangle would be:
area= x-length * y-length= 3*7=21
