Answer:
67
Step-by-step explanation:
X - 5 = 27
Isolate the x, add 5 to both sides (because of equal sign)
x - 5 = 27
x - 5 (+5) = 27 (+5)
x = 27 + 5
x = 32
x = 32 is your answer
hope this helps
Answer:
a)S= (1,2,3,4,5,6)
b) 1/6 or 16.67%
c) 1/3 or 33.33%
d) 5/6 or 83.33%
Step-by-step explanation:
a) Sample space is the list of all the possible sample in this its either tool 1,2,3,4,5 or 6
b) probability of selecting from tool 1 is equally likely to picking from any cutting tool therefore it
1/6 or 16.7%
c) probability of selecting from any tool is 16.7% so probability of selecting from 3 or 5 = 16.67% + 16.67% = 33.3%
d) if the part is not from tool 4 then its from tool 1, or tool 2 or tool 3 or tool 5 or tool 6 therefore its
1/6+1/6+1/6+1/6+1/6 = 5/6 or 8.33%
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.
To find the miles for 3rd day, we take away the miles she biked for the first two day from the total.




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Answer: She traveled 13 23/56 miles on the third day.-----------------------------------------------------------------------------------