Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 266 days
Standard deviation (s) = 16 days
A.) p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = - 1.96 (Z probability calculator)
x - 266 = - 31.36
x = - 31.36 + 266
x = 234.64
B.)
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = - 1.96 (Z probability calculator)
x - 266 = - 31.36
x = - 31.36 + 266
x = 234.64
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = 1.96 (Z probability calculator)
x - 266 = 31.36
x = 31.36 + 266
x = 297.36
Hence,
234.64 < x <297.36
C.)
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = 1.96 (Z probability calculator)
x - 266 = 31.36
x = 31.36 + 266
x = 297.36
from the diagram, we can see that the height or line perpendicular to the parallel sides is 8.5.
likewise we can see that the parallel sides or "bases" are 24.3 and 9.7, so
![\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=8.5\\ a=24.3\\ b=9.7 \end{cases}\implies \begin{array}{llll} A=\cfrac{8.5(24.3+9.7)}{2}\\\\ A=\cfrac{8.5(34)}{2}\implies A=144.5~in^2 \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20h%3D8.5%5C%5C%20a%3D24.3%5C%5C%20b%3D9.7%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20A%3D%5Ccfrac%7B8.5%2824.3%2B9.7%29%7D%7B2%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B8.5%2834%29%7D%7B2%7D%5Cimplies%20A%3D144.5~in%5E2%20%5Cend%7Barray%7D)
Factors are the numbers you multiply together to get given number.
All possible factorizations of number 18 by two factors are:
- 18=1·18;
- 18=2·9;
- 18=3·6.
Answer: 1 and 18, 2 and 9, 3 and 6.
Least Common Multiple is :
48
Calculate Least Common Multiple for :
12, 16 and 24
Factorize of the above numbers :
12 = 22 • 3
16 = 24
24 = 23 • 3
LCM = 24 • 3
Least Common Multiple is :
48
Please mark brainliest again because someone deleted my answer
