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
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(b) is the answer.
Step-by-step explanation:
By the Pythagorean Theorem,
A² + B² = C²
Where:
A = Length of side 1
B = Length of side 2
C = Hypotenuse
This rule applies to all right-angled triangles.
The length of the hypotenuse of a right-angled triangle is always the largest value.
Therefore, we can test the answers with the equation above.
(a)
8² + 18² = 20²
64 + 324 = 400
388 ≠ 400
The rule of Pythagorean theorem doesn't work on a, so (a) is not a right-angled triangle.
(b)
12² + 35² = 37²
144 + 1225 = 1369
1369 = 1369
The rule of Pythagorean theorem works here, so (b) is a right-angled triangle.
Answer:
The reflected point would be (3,-7)
