Hi! The answer would be all real numbers!
Hope this helps! :)
For the first one :) x + 6, y - 10
He didn’t multiply by 4 first
let's firstly, convert the mixed fraction to improper fraction, and then subtract.
![\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{11}{4}-\cfrac{2}{3}\implies \stackrel{\textit{our LCD will be 12}}{\cfrac{(3)11-(4)2}{12}}\implies \cfrac{33-8}{12}\implies \cfrac{25}{12}\implies 2\frac{1}{12}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B11%7D%7B4%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Ccfrac%7B11%7D%7B4%7D-%5Ccfrac%7B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bour%20LCD%20will%20be%2012%7D%7D%7B%5Ccfrac%7B%283%2911-%284%292%7D%7B12%7D%7D%5Cimplies%20%5Ccfrac%7B33-8%7D%7B12%7D%5Cimplies%20%5Ccfrac%7B25%7D%7B12%7D%5Cimplies%202%5Cfrac%7B1%7D%7B12%7D)
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
H0 : μ = 1
H1 : μ > 1
Sample size, n = 20 ; xbar = 1.05; Standard deviation, s = 0.13
Test statistic;
t because sample size is < 30
(xbar - μ) ÷ (s/sqrt(n))
(1.05 - 1) ÷ (0.13 / sqrt(20))
0.05 ÷ 0.0290688
= 1.7200572
Using a p value calculator :
With alpha = 0.05 ; df = n - 1 = 20 - 1 = 19
P value = 0.05084
P value > alpha
We fail to reject H0
There is not sufficient evidence to support that the new personnel are producing loaves that are heavier than 1 pound
