Absolute deviation is 92.40
Rearrange numbers from least to greatest to avoid confusion.
108, 112, 122, 145, 160
Mean = (108 + 112 + 122 + 145 + 160) / 5
= 647 / 5
= 129.40
Absolute deviation : (number - mean)
*absolute means that a number is always treated as a positive number contrary to its actual value
108 - 129.40 = 21.40
112 - 129.40 = 17.40
122 - 129.40 = 7.40
145 - 129.40 = 15.60
160 - 129.40 = <u> 30.60</u>
total absolute deviation 92.40
Mean absolute deviation = 92.40 / 5 = 18.48
Answer:
- The area of a 17 in traditional TV is approximately 138.7 in².
- The area of a 17 in LCD TV is approximately 123.3 in²
- The 17 in LCD TV's screen is bigger
Explanation:
<u>1. What is the area of a 17in traditional tv screen? </u>
a) Measure of the diagonal = 17 in
b) The diagonal is the hypotenuse of a triangle.
c) Call x and y the length and the width of the screen. Then, by Pythagora's theorem:
d) Since the ratio of the length to the width of the screen is 4:3
e) Solve the system of equations:
- x = 10.2 × 4 / 3 = 13.6 in
f) Area = x × y = 10.2 in × 13.6 in = 138.72 in²
The area of a 17 inch traditional TV is approximately 138.7 in²
<u>2. What is the area of a 17in LCD TV whose screen is in 16:9 format? </u>
Solve the system of equations:
- x = 8.33 × 16 / 9 = 14.8 in
Area = x × y = 14.8 in × 8.33 in = 123.28 in²
The area of a 17 inch LCD TV is approximately 123.3 in²
<u>3. Which screen is bigger?</u>
The screen of the 17 in traditional TV is bigger, because its area (approximately 138.7 in²) is greater than the area of the LCD TV (approximatle 123.3 in²).
Answer:
y = 5/6x -2
Step-by-step explanation:
Subtract 5x and divide by -6:
-6y = -5x +12 . . . .subtract 5x
y = 5/6x -2 . . . . . divide by -6
So first we need to know this:
Two negative signs make a positive
Two positives make a positive
One positive and one negative makes a negative.
So we can turn the equation to -4 -44 - - 1
2 minuses make plus
-4 -44 +1 = -48 +1 = -47
Answer:
Step-by-step explanation:
Since the triangles are similar, the ratio of corresponding sides are same.
<u>ZX is the largest side and corresponding side is BC = 60, the shortest sides are BC = 40 and YZ = 20:</u>
- ZX / 60 = 20/40
- ZX / 60 = 1/2
- ZX = 60/2
- ZX = 30