Answer:
x=8, y=4
Look up the 30-60-90 triangle rule
<span>$8.50/hr multiplied by 16 hours worked equals $136. $136 minus (7.65%)(136) equals $125.60. $125.60 minus (9.15%)(136) equals $113.16. Travel expenses of $6.00 multiplied by 4 equals $24. $113.16 minus 24 equals $89.16 net income.</span>
<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
Answer:
0.66
Step-by-step explanation:
What are you giving there is a confidence interval. You can obtain a confidence interval based on a sample you got. The length of the confidence interval is determined on how much confidence do you want for your interval (the probability of the real value being inseide the interval) and how big is the sample: the bigger the sample, the smaller the length of the confidence interval. Independently of the sample length, all intervals are centered on the average value you got for the sample, and that is your estimate. In this case, the center of the interval is 0.52+0.8/2 = 0.66.
