Answer:
The 95% confidence interval is (29.54 - 53.46}
Step-by-step explanation:
given data:
![\hat X = 41.5](https://tex.z-dn.net/?f=%5Chat%20X%20%3D%2041.5)
Se = 6.1
n = 755
a) best estimate ![\hat x = 41.5](https://tex.z-dn.net/?f=%5Chat%20x%20%3D%2041.5)
b) at 95% confidence interval
![\alpha = 1- 0.95 = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%3D%201-%200.95%20%3D%200.05)
![\alpha /2 = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%2F2%20%3D%200.025)
![z_{\alpha/2} = z_{0.025} = 1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%20%3D%20z_%7B0.025%7D%20%3D%201.96)
at 95% confidence interval for [/tex]\mu[/tex]
![\hat x \pm z_{\alpha /2} \times Se](https://tex.z-dn.net/?f=%5Chat%20x%20%5Cpm%20z_%7B%5Calpha%20%2F2%7D%20%5Ctimes%20Se)
![41.5 \pm 1.96\times 6.1](https://tex.z-dn.net/?f=41.5%20%5Cpm%201.96%5Ctimes%206.1)
![41.5 \pm 11.96](https://tex.z-dn.net/?f=41.5%20%5Cpm%2011.96)
The 95% confidence interval is (29.54 - 53.46}
75 miles per hour.
all you have to do it convert the it to the mph
Answer:
y = 4.
Step-by-step explanation:
I suppose that this question relates to the image that can be seen below.
In the image, the green line represents the exponential function and the blue line represents the linear function.
The y-value after which the exponential function will always be greater than the linear function is the y-value where bot graphs intersect, such that after that point, the blue line starts increasing fast, and is always above the green line.
In this case, this point is the second intersection, and we can see that this intersection happens in the point (2, 4)
Remember that the usual notation for points is (x, y).
Then the y-value after which the exponential function will always be greater than the linear function is y = 4.
The interest is $58,760.84
The total is $133,760.84
Answer:
- amplitude: 3
- period: π
- axis: y = 0
- range: [-3, +3]
Step-by-step explanation:
The amplitude is the multiplier of the sine function: 3.
The period is 2π divided by the coefficient of x: 2π/2 = π.
The equation of the axis is any added constant: y = 0.
The range is the axis value ± the amplitude value: from -3 to +3.