The gardener will need to buy 60 feet of fencing. Because the square root of 225 if 15, and 15 times 4 is 60. So, 60 is the perimeter of the garden.
Answer:
The <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.
Step-by-step explanation:
The data provided is as follows:
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Compute the mean and standard deviation for the group "25 to 34" as follows:
![\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20x%3D%5Cfrac%7B1%7D%7B8%7D%5Ctimes%20%5B1329%2B1906%2B...%2B1454%5D%3D%5Cfrac%7B13631%7D%7B8%7D%3D1703.875%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%5Csum%20%28x-%5Cbar%20x%29%5E%7B2%7D%7D%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B8-1%7D%5Ctimes%201086710.875%7D%3D394.01)
Compute the <em>z</em>-score for the group "25 to 34" as follows:
Compute the mean and standard deviation for the group "45 to 54" as follows:
![\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20x%3D%5Cfrac%7B1%7D%7B8%7D%5Ctimes%20%5B2268%2B1965%2B...%2B2158%5D%3D%5Cfrac%7B14031%7D%7B8%7D%3D1753.875%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%5Csum%20%28x-%5Cbar%20x%29%5E%7B2%7D%7D%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B8-1%7D%5Ctimes%201028888.875%7D%3D383.39)
Compute the <em>z</em>-score for the group "45 to 54" as follows:
Thus, the <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.
Answer:
4 hours
Step-by-step explanation:
This equation represents the data:
2.5(12.75x + 24.50) = 188.75
31.875x +61.25 = 188.75 . . . . . eliminate parentheses
31.875x = 127.50 . . . . . . . . subtract 61.25
x = 4 . . . . . . . . . . . . . . . . . . . divide by 31.875
Big Time Movers worked 4 hours on New Year's Day.
If quarterly shrinkage (every 3 months) is 2.5%, then multiplying by $875,495 gives a value of 21887.38, or an average monthly shrinkage of 21887.38 / 3 = $7,295.79.For an employee to monitor the CCTV, it would cost ($7.5/h)(11 h/d)(30 d/m) = $2,475/month. Therefore, it is much cheaper (around 2/3 cheaper) to have an employee monitor CCTV rather than to allow the high shrinkage rate.
Answer:
Between 47 and 70
Step-by-step explanation:
Together, Anastasia and Elizabeth made 57 + 83 = 140 cups of tea. If each tea bag can make two to three cups of tea, there could be between 47 [140 ÷ 3 = 46.667 ≈ 47] and 70 [140 ÷ 2 = 70] tea bags in the box.
