Answer:
Step-by-step explanation:
Meg makes a dot plot for the data 9, 9, 4, 5, 5, 3,<br>
4,5, 3, 8, 8, 5. Where does a gap occur?
Papessa [141]
The gap consists of the values 6 and 7.
Check out the dot plot below to see what I mean. We have one cluster on the left from 3 to 5. Then another cluster on the right from 8 to 9.
Step-by-step explanation:
the cost per ounce at target would be .2688 and the cost per ounce ot walmart would be .28 so target would be the better buy.
Answer:
7 pages
Step-by-step explanation:
Given the total number of pages in the book are 16
The number of pages esteban already read are 9
Let the number of pages left out to read be x
Total number of pages = number of pages read + number of pages to be read
16=9+x
x=16-9
x=7 pages
Therefore There are 7 pages left out to be read.
L=2W, V=LWH using L=2W in the Volume equation we get:
V=2W^2H and V=10 so
10=2W^2H now we can solve this for H
H=5/W^2 and L=2W we'll need these later :)
C=20LW+12*2LH+12*2WH
C=20LW+24LH+24WH using our H and L found earlier...
C=20(2W^2)+24(2W*5/W^2)+24(W*5/W^2)
C=40W^2+240/W+120/W making a common denominator...
C=(40W^3+240+120)/W
C=(40W^3+360)/W
dC/dW=(120W^3-40W^3-360)/W^2
dC/dW=(80W^3-360)/W^2
d2C/dW2=(240W^4-160W^4+720W)/W^4
d2C/dW2=(80W^3+720)/W^3
Since d2C/dW2 is positive for all possible values of W (as W>0), when dC/dW=0, C(W) will be at an absolute minimum value...
dC/dW=0 only when 80W^3-360=0
80W^3=360
W^3=45
So our minimum cost is:
C(45^(1/3))=(40W^3+360)/45^(1/3)
C(45^(1/3))=(40*45+360)/45^(1/3)
C(45^(1/3))=2160/45^(1/3)
C≈$607.27 (to the nearest cent)
