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
We have the following functions:
f (x) = 1 / (x-5)
g (x) = 7 / x
Multiplying the functions we have:
f · g = (1 / (x-5)) * (7 / x)
Rewriting:
f · g = (7 / x (x-5))
f · g = (7 / (x ^ 2-5x))
The domain of the function is:
All reals less:
x = 0
x = 5
Answer:
f · g = (7 / (x ^ 2-5x))
The domain of the function is:
All reals less:
x = 0
x = 5
Answer:
A .25
Step-by-step explanation:
Answer:
sec(- θ ) = secθ
Step-by-step explanation:
The relationship between sec and cos is
sec x = 
Now cos(- x) = cosx
Thus
sec(- θ ) = secθ
