Answer:
(cx)2-(dy) 2
Step-by-step explanation:
Formula a2-b2= (a+b) (a-b)
By given formula
(cx)2 - (dy) 2 = (cx+dy) (cx-dy)
Answer:
Sample mean =119.42
Median = 92
25% trimmed mean = 102.42
10% trimmed mean = 95.69
Step-by-step explanation:
Data in increasing order :
12 13 20 23 31 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249 262 289 323 388 513
Total no. of observations = 50
Sample mean = 
= 
= 119.42
Median: Since we have even number of observation
Median = 
= 
= 92
10% Trimmed Mean: We remove 5 values from each side
Trimmed set = 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249
Trimmed mean = 
= 
= 102.42
25% Trimmed Mean: We remove 12 values from each side.
Trimmed set = 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141
Trimmed mean = = 
= 95.69
Answer: 2y + 5x + 16 = 0
Step-by-step explanation:
To solve this you need to understand the principle/ conditions for parallelism and perpendicularity.
for two lines to be parallel to each other, their gradients or slopes (m) must be equal, that is m₁ = m₂
Now from the given equation,
5x + 2y = 14 , we need to rearrange it to conform to the equation of a straight line so that the gradient could be established. ie
y = mx + c where m is the gradient
2y = -5x + 14
y = -5x/2 + 14/2
y = ⁻⁵ˣ/₂ + 7 , therefore , m₁ = ⁻⁵/₂ and m₂ = ⁻⁵/₂ ( parallelism Rule )
The next step is to find the value of C using the coordinate ( -2, -3 )
-3 = ⁻⁵/₂ ˣ ⁻² + C,
-3 = ¹⁰/₂ + C
-3 = 5 + C
C = -8.
Now to find the equation of the line that passed through the coordinate
y = mx + c
y = ⁻⁵ˣ/₂ - 8
2y = -5x - 16
2y + 5x + 16 = 0.
Answer:
Center is the mean, an average of data. Spread is for range and standard deviation.
Step-by-step explanation:
Answer:
11.25pi units² or 35.3 units² (3 sf)
Step-by-step explanation:
½×r²×theta
½ × 5² × 0.9pi
11.25pi units²
Or, 35.3 units² (3 sf)
