Based on the information given the unit price of the pairs of socks is $5.29.
Using this formula
Unit price=Costs price/Number of pairs of socks
Where:
Costs price=$31.74
Number of pairs of socks=6
Let plug in the formula
Unit price=$31.74/6
Unit price=$5.29
Inconclusion the unit price of the pairs of socks is $5.29.
Learn more about unit price here:brainly.com/question/14125148
Answer:
9108
Step-by-step explanation:
23^3+(-12)^3+(-11)^3 remove parentheses
= 23^3-12^3-11^3 group difference of two cubes
= (23-12)(23^2+23*12+12^2) + 11^3 factor difference of two cubes
= 11 (23^2+23*12+12^2-11^2) factor ou 11
= 11(23(23+12) + (12+11)(12-11)) apply difference of two squares
= 11 (23*35+23*1) factor out 23
= 11(23*(35+1)) simplify
= 11*23*36 convert 11*23 into difference of 2 squares
= (17^2-6^2)*6^2 expand parentheses
= 102^2-36^2 evaluate squares
= 10404 - 1296 subtraction
= 9108
(no calculator required)
Step-by-step explanation:
a. The mean can be found using the AVERAGE() function.
x = 272.7
b. The standard deviation can be found with the STDEV() function.
s = 39.9
c. The t-score can be found with the T.INV.2T() function. The confidence level is 0.04, and the degrees of freedom is 26.
t = 2.162
d. Find the lower and upper ends of the confidence interval.
Lower = 272.7 − 2.162 × 39.9 = 186.5
Upper = 272.7 + 2.162 × 39.9 = 358.9
Answer:
EY = 60
DW = 68
DE = 128
Step-by-step explanation:
Given
As YW is the perpendicular bisector of EF, then EY = FY
FY = √(FW² - YW²) = √(68² - 32²) = 60
⇒ EY = 60
As WX is the perpendicular bisector of DF, then DW = FW
As FW = 68, then DW = 68
As WZ is the perpendicular bisector of DE, then DZ = EZ = 64
Therefore, DE = DZ + EZ = 64 + 64 = 128
