Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.
Step-by-step explanation:
Since we have given that
Sample size = 400
Mean = $357.75
Standard deviation = $37.89
At 95% confidence level, z = 1.96
We first find the margin of error.
Margin of error is given by

95% confidence interval would be

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.
Answer:
0.898
Step-by-step explanation:
The formula for the Coefficient of determination = ratio of explained variation to Total variation
From the above question, we have the following values
Explained variation = 18.592
Total variation = 20.711
The coefficient of determination = 18.592 : 20.711
= 18.592/20.711
= 0.8976872194
Approximately ≈ 0.898
Therefore, the coefficient of determination is 0.898
Just divide 40.25 by 3.5. You get 11.5. So his pay rate is 11.5 every hour.
I hope this helps :)
ANSWER

EXPLANATION
The given function is

We rewrite this function to obtain,

We now compare this function to

We have

This implies that,

The vertex is (2,-11).
The focus is



Answer:
x=22.5°
Step-by-step explanation:
∵it's a rhombus
∴each 2 opposite sides are parallel
∴the angel adjecent angle the angle 3x is equal to the angle 6x
∴ 3x+6x=180
8x=180
⇒x=22.5