Answer:
Constant of proportionality(X:Y) = 1:6
Step-by-step explanation:
Given:
X- 5, 6, 7, 8, 9
Y- 30, 36, 42, 48, 54
Find:
Constant of proportionality
Computation:
X/Y = 5/30 = 6/36 = 7/42 = 8/48 = 9/54
X/Y = 1/6 = 1/6 = 1/6 = 1/6 = 1/6
So;
Constant of proportionality(X:Y) = 1:6
Answer:
-2x^2-11x^3
Step-by-step explanation:
Answer: (6.4005, 4.925)
Step-by-step explanation: n = sample size = 68
σ = population standard deviation = 0.35 hours
x = sample mean = 5.8
We are to construct a 95% confidence level for population mean.
This is given below as
Confidence interval = x ± Zα/2 × σ/√n
Where Zα/2 = critical value for a 2 tailed with 5 percent level of significance (that's α=5%) = 1.96
Note that level of significance + confidence level = 100, hence a 95% confidence level will give a 5% level of significance
For the upper limit of the 95% confidence interval, we have that
x + Zα/2 × σ/√n
5.8 +1.96(0.38/√68)
5.8 + 1.96 (0.046)
5.8 + 0.0875
= 6.4005
For the lower limit of the 95% confidence interval, we have that
x - Zα/2 × σ/√n
5.8 - 1.96(0.38/√68)
5.8 - 1.96 (0.046)
5.8 - 0.0875
=4.925
