Answer:
the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26
Step-by-step explanation:
Mean=sum of observation/ No. of observation
={5+8+ 10+ 15 + 22}/5
=60/5=12
Sum of deviations
= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|
= 7+4+2+ 3+ 10
= 26
Answer:
Option D
Step-by-step explanation:
In the first three options we can evaluate the values of x with the help of Sine Rule for all the triangles
The Rule says

Where a , b and c are the sides opposite to the angles A, B and C of any ΔABC.
Hence , in order to determine unknown values of sides or angles , we need any 3 values from all 3 sides and 3 angles in a triangle. First Three options give us three values but the last option gives only 2.
Example
in first option we can apply Sine Rule as





Answer:
D
Step-by-step explanation:
10/7 = 1.4285
9/y = 1.4285
Multiply both sides by y.
9 = 1.4285y
Divide both sides by y.
6.3 = y
Answer:
Z=1
Step-by-step explanation:
Answer:
x = 15
Therefore, the length and width are 31 and 47.
Step-by-step explanation:
Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156
Simplified,
10x + 6 = 156
Subtract 6 from both sides, then divide by 10.
10x = 150
x = 15
To find the length and width, substitute 15 (the value of x) into the individual equations.
2(15) + 1 = 31
3(15) + 2 = 47