Answer: Yes, the point (3,4) is a solution to the system.
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Proof of this:
Replace x with 3 and y with 4 in the first equation
x+y = 7
3+4 = 7
7 = 7
This confirms the first equation. Repeat for the second equation
x-2y = -5
3-2(4) = -5
3 - 8 = -5
-5 = -5
We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).
Answer:
s = 22t or 
, when s is students and t is teachers.
Step-by-step explanation:
I. Given t = teacher, s = student
When 1 teacher per 22 students so...
s = 22t
If there're 10 teachers
s = 22(10)
= 220 or
Hope that help :)
Answer:
We can be 95% confident that consumers spend between $4.04 and $15.96 less at Store A than the consumers spend at Store B.
Step-by-step explanation:
Confidence Intervals give an estimate as range of values for a statistic concerned at a <em>confidence level</em>.
In this case the statistic is the mean difference between Store A and Store B purchase amounts and the confidence level is 95%.
Confidence Interval can be calculated using M±ME where
- M is the sample mean difference between Store A and Store B purchase amounts
- ME is the margin of error from the mean
Hope this can help you ^_^
Step-by-step explanation:
4x -y =2
-y = -4x + 2
y = 4x -2
slope = 4
perpendicular slope is negative inverse
so -1/4
y- -2 = -1/4(x - 4)
y+2 = -1/4x +1
y = -1/4x -1
