For a smoothing constant of 0.2
Time period – 1 2 3 4 5 6 7 8 9 10
Actual value – 46 55 39 42 63 54 55 61 52
Forecast – 58 55.6 55.48 52.18 50.15 52.72 52.97 53.38 54.90
Forecast error - -12 -.6 -16.48 – 10.12 12.85 1.28 2.03 7.62 -2.9
The mean square error is 84.12
The mean forecast for period 11 is 54.38
For a smoothing constant of 0.8
Time period – 1 2 3 4 5 6 7 8 9 10
Actual value – 46 55 39 42 63 54 55 61 52
Forecast – 58 48.40 53.68 41.94 41.99 58.80 54.96 54.99 59.80
Forecast error - -12 6.60 -14.68 0.06 21.01 -4.80 0.04 6.01 -7.80The mean square error is 107.17
The mean forecast for period 11 is 53.56
Based on the MSE, smoothing constant of .2 offers a better model since the mean forecast is much better compared to the 53.56 of the smoothing constant of 0.8.
Answer:
(x+10)+(×+50)=180(exterior co- interior angel
2x+60=180
2×=180-60
×=120/2
×=60
(6x+3)=(7x-12)(corresponding angle )
3+12=7×-6×
x=15
4x-2=3x-19(vertically opposite angle)
4x-3×=-19+2
x=-17
Answer:
E: 2.00 + 0.75 [ 2r]
Step-by-step explanation:
r represents the number of miles. For each 1/2 mile the taxi will charge and extra free of $0.75. Then, for each mile, the taxi will charge $0.75*2. For example:
For a trip of 1 mile the taxi will charge:
$2.00+$0.75*2
For a trip of 2 miles, the taxi will charge:
$2.00+0.75*4
For a trip of 10 miles, the taxi will charge:
$2.00+$0.75*20
Notice that the variable fee (the one that depends on the number of miles) is $0.75 times the double of miles. In each case the number of miles is multiplied by two. Then the correct answer is E: 2.00 + 0.75 [ 2r]
Answer:
0.184
Step-by-step explanation:
There are 38 seniors, of which 7 prefer evening classes.
7/38 ≈ 0.184
