Answer:
c or d
Step-by-step explanation:
The coordinates of polygon ABCD are:
A(4,3) B(4,0) C(-1, 1) D(-1, 4)
and
The coordinates of the transformed polygon A'B'C'D' are:
A'(1, 1) B'(1, -2) C'(-4,-1) D'(-4, 2)
To understand the transformed rule, just remove the coordinates of the actual polygon from the transformed polygon.
A' - A = (1, 1) - (4, 3) = (1 - 4, 1 - 3) = (-3, -2)
Similarly,
B' - B = (1, -2) - (4, 0) = (1 - 4, -2 - 0) = (-3, 2)
The same result will be obtained from other points (C and D). Therefore, the first option (-3, 2) is correct.
Answer:
216 people
Step-by-step explanation:
Given:
2.5 feet² is occupied by 1 person
Dimension of room = 216 in × 360 in
Required:
No. of people that would occupy the room
SOLUTION:
Step 1:
Convert the dimensions of the room from in to ft
Note: 1 foot = 12 inches
216 inches = 
360 inches = 
Step 2: calculate area of the room.
Area of the room = 30*18 = 540 ft²
Step 3: calculate the no. of people the room will contain.
2.5 ft² will contain one person
Therefore, 540 ft² will contain: 
A = wl
Simply divide both sides by w. This is done to isolate the variable we are solving for.
A/w = (wl)/w
A/w = l
Answer: Choice C
The mean, median, and mode are equal to 1. So among the choices, the first one is correct - mean = mode
Mean - an <em>average </em>of the given set of number; to find this, add the numbers and divide it by 11 (the number of given data)
= (-1 + -1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3) / 11
= 1
Median - the <em>middle or center</em> of the given set; to find this, arrange the numbers in numerical order, then get the center or middle number as the median
= <span>-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
= [</span><span>-1, -1, 0, 1, 1,] <u>1</u>, [1, 2, 2, 2, 3]
Mode - is the value that occurs most of the time in the given set; so obviously <em>number 1 occurred four times</em> so 1 is our mode
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