2x + 3y = 3 y = 8 – 3x
we have 2 equations
first equations: <span>2x + 3y = 3 y
</span>the second equation: 3y = 8 – 3x => <span>8-3x=3y
</span><span>------------------------------------------------------------
2x+3y=3y</span>2x=3y-3y
2x=0
x=0
8-3x=3y
8-0=3y
8=3y
y=8/3
S={x=0 ; y=8/3 }
The point estimate of the proportion of students who prefer the new schedule is 0.22.
Definition of Point Estimate
Point estimation is a technique used in statistics to determine a single value that will serve as the "best guess" or "best estimate" of an unidentified population characteristic, known as the point estimate. More precisely, in order to produce a point estimate, we apply a point estimator to the data.
For the confidence interval (0.195, 0.245), point estimate is calculated as follows,
p = (0.195 + 0.245) / 2
p = 0.44 / 2
p = 0.22
Hence, the point estimate of the proportion of students who prefer the new schedule comes out to be 2.2.
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Alright, so plugging it in, we get 2(-4)^2=2(2)^4+3^2-(-4)^2+2^4. Use PEMDAS with parenthesis and exponents to then get (2)(16)+9-16+16. Multiplying 1 and 16, we get 32+41-16+16=73