Answer:
Group II is correct
Step-by-step explanation:
4x + 3 = x
4x - x = -3
3x = -3
x = -1
Here, the coordinates (-1, -3/5) represent (x,y)
Group II was correct because the value of x is -1
ii) Group I was wrong because the algebra given, only provided one unknown variable which was x.
Answer:
54.80 MPa to 55.92 MPa
Step-by-step explanation:
Sample mean fracture strength (x) = 55.36 MPa
Sample standard deviation (s) = 3.99 MPa
Sample size (n) = 196.
The upper and lower bounds for a 95% confidence interval are given by:
The upper and lower bounds of the confidence interval are;
The 95% confidence interval for true average fracture strength is 54.80 MPa to 55.92 MPa
Answer:
5 shirts must be sold.
Step-by-step explanation:
First, set up the equation. Each shirt (x) is sold for $16:
For every amount (y) for x: (y)(x) = (16)(y)
The cost is $4, with the setup fee as $60.
(16)(y) = (4)(y) + 60
16y = 4y + 60
Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. First, subtract 4y from both sides.
16y (-4y) = 4y (-4y) + 60
16y - 4y = 60
12y = 60
Next, isolate the variable (y). Divide 12 from both sides.
(12y)/12 = (60)/12
y = 60/12
y = 5
5 shirts must be sold.
To check, plug in 5 for y in the equation:
16y = 4y + 60
16(5) = 4(5) + 60
Simplify.
16(5) = 4(5) + 60
80 = 4(5) + 60
80 = 20 + 60
80 = 80 (True).
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I'm not sure if I'm correct but I tried. :)
