Answer:
Yes, he will have enough 3 over 8 ft pieces for his class.
Step-by-step explanation:
Given:
Number of wood required = 22
Length of each wood, ![l=\frac{3}{8}\textrm{ ft}](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B3%7D%7B8%7D%5Ctextrm%7B%20ft%7D)
Total length of the board, ![L=9\textrm{ ft}](https://tex.z-dn.net/?f=L%3D9%5Ctextrm%7B%20ft%7D)
Therefore, the number of woods that can be made using the given board is given as:
![\textrm{Number of woods made}=\frac{\textrm{Total length of board}}{\textrm{Length of each wood}}\\\textrm{Number of woods made}=\frac{L}{l}=\frac{9}{\frac{3}{8}}=9\times \frac{8}{3}=\frac{72}{3}=24](https://tex.z-dn.net/?f=%5Ctextrm%7BNumber%20of%20woods%20made%7D%3D%5Cfrac%7B%5Ctextrm%7BTotal%20length%20of%20board%7D%7D%7B%5Ctextrm%7BLength%20of%20each%20wood%7D%7D%5C%5C%5Ctextrm%7BNumber%20of%20woods%20made%7D%3D%5Cfrac%7BL%7D%7Bl%7D%3D%5Cfrac%7B9%7D%7B%5Cfrac%7B3%7D%7B8%7D%7D%3D9%5Ctimes%20%5Cfrac%7B8%7D%7B3%7D%3D%5Cfrac%7B72%7D%7B3%7D%3D24)
So, he can make 24 woods of length
using the 9 ft board. But he has to make only 22 pieces.
Therefore, he has enough of the wood to make the required number of pieces.
15^15. Answer is 15 to the 15th power because by laws of exponents when you have a base with power m over same base with power n it is base to the m-n power. Simply you subtract the exponents when dividing with same base.
Answer:
A) Mean = 1264
Standard deviation = 37
B) CI ≈ (1241, 1287)
Step-by-step explanation:
A) Mean = Σx/n
Σx = 1229 + 1257 + 1243 + 1194 + 1268 + 1316 + 1275 + 1317 + 1275
Σx = 11374
Mean(x¯) = 11374/9
Mean(x¯) ≈ 1264
Standard deviation = √(∑(x - x¯)²/(n)
From online calculator;
Standard deviation; s ≈ 37
B) Our distribution factor is; DF = n - 1 = 9 - 1 = 8
From t-table attached, our critical value at 90% Confidence interval is t = 1.86
Formula for confidence interval is;
CI = x¯ ± t(s/√n)
CI = 1264 ± 1.86(37/√9)
CI = 1264 ± 22.94
CI ≈ (1241, 1287)
Step-by-step explanation:
plase see it my step work solution
I believe something like: 3∗3∗3∗3 is the farthest you can go