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Answer:
( 19/3 , 2 )
Step-by-step explanation:
Given in the question,
point D(7,1)
x1 = 7
y1 = 1
point F(5,4)
x2 = 5
y2 = 4
Location of point E which is 1/3 of the way from D to F
which means ratio of point E from D to F is 1 : 2
<h3>a : b</h3>
1 : 2
xk = 
yk = 
Plug values in the equation
xk = 7 + (1)/(1+2) (5-7)
xk = 19/3
yk = 1 + (1)/(1+2)(4-1)
yk = 2
Answer
given,
mean = 12 Kg
standard deviation = 0.5 Kg
assume the observed statistic is = 11.1
now, 
assuming the number of sample = 4
n = 4
Hypothesis test:
H₀ : μ≥ 12
Ha : μ < 12
now,
significant level α = 0.05


z* = -3.60
Test statistics, Z* = -3.60
P-value
P(Z<-3.60) = 0.002 (from z- table)
P- value = 0.002
now,
reject the value of H₀ when P-value < α
0.002 < 0.05
since, it is less P-value < α , we have to reject the null hypothesis
Slope is undefined as the answer is 6/0