There are exactly three colors of socks in lamont's drawer: red, blue, and green. the current ratio of red to blue to green sock
s is 2:3:7. of lamont where to purchase n new red socks, the new ratio of red to blue to green socks would be 8:9:21. if lamont were to instead purchase n + 2 blue socks, the new ratio of red to blue to green socks would be 2:4:7. what is the value of n
If the current ratio of red to blue to green socks is 2:3:7, then t<span>here are exactly 2x red socks, 3x blue socks and 7x green socks. </span> 1. If amount of red socks are increased by n new socks, then t<span>here are exactly 2x+n red socks, 3x blue socks and 7x green socks and (2x+n):3x:7x=8:9:21. This means that 2x+n=8y, 3x=9y, 7x=21y. You have that x=3y and 6y+n=8y, n=2y. </span> 2. If amount of blue socks are increased by n+2 new socks, then t<span>here are exactly 2x red socks, 3x+n+2 blue socks and 7x green socks and 2x:(3x+n+2):7x=2:4:7. This means that 2x=2t, 3x+n+2=4t, 7x=7t. Now you have that x=t and 3t+n+2=4t, n=t-2. </span><span> </span><span>3. Solve x=3y, n=2y, x=t, n=t-2. You obtain that t=3y, t-2=2y. Then 3y-2=2y and y=2. Hence, x=6=t, n=6-2=4. </span><span> </span><span>Answer: n=4 </span>
<span>To find the confidence interval, add and subtract the margin of error from the mean.
With mean 18.7 and margin of error 5.9, you have 95% confidence the answer is between 12.8 and 24.6.</span>
His conclusion wouldn't be valid because he didn't apply them on the same day. So, Brand A if applied first would be ahead of brand B which was applied 5 days later. Hope this helped!
