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1. diginity
2.require
3.tuition
Equation = a² + b² = c²
a = 80
b = 39
c = Diagonal
a² + b² = c²
80² + 39² = c²
6400 + 1521 = c²
c² = 7921
c = √7921
c = 89
Answer = 89 units
Answer:

Step-by-step explanation:
Let be
, the range of the function corresponds to the set of values of
. The sine function is a bounded function between -1 and 1. Hence, the range of the function is:

Answer:
Null hypothesis is rejected. Standard deviation is > 8 miles per hour
Step-by-step explanation:
σ [Population standard deviation] = 8 , s [sample standard deviation] = s
n [no of items] = 8
H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8
χ2 = (n - 1) . s^2 / σ^2
= 49 x (10.5)^2 / 82 = 5402.25 / 64
χ2 = 84.410
df [degree of freedom] = n -1 = 50 - 1 = 49
P value (χ^2 49 > 84.410) = 0.00125
p = 0.0013
p < α ie 0.05
So, H0 is rejected
Hence we state that standard deviation is > 8 miles per hpur