<h2>
Coordinate Pairs</h2>
Coordinate pairs are organized like (x,y).
- x tells us the location of the point in relation to the x-axis, the axis that is horizontal.
- y tells us the location of the point in relation to the y-axis, the axis that is vertical.
To determine a coordinate pair, we can determine each coordinate individually, then put them together.
<h2>Solving the Question</h2>
Notice how the red point sits on the very edge of the graph.
When we look at the x-axis, we can see that it occurs at the number 0 on the x-axis. In other words, the red point occurs when x=0.
When we look at the y-axis, we can see that it lines up with the number 2. In other words, the red point occurs when y=2.
Therefore, when we put the two coordinates together like (x,y), we get (0,2).
<h2>Answer</h2>
(0,2)
Answer:
Bias for the estimator = -0.56
Mean Square Error for the estimator = 6.6311
Step-by-step explanation:
Given - A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and X2. The mean is estimated using the formula (3X1 + 4X2)/8.
To find - Determine the bias and the mean squared error for this estimator of the mean.
Proof -
Let us denote
X be a random variable such that X ~ N(mean = 4.5, SD = 7.6)
Now,
An estimate of mean, μ is suggested as

Now
Bias for the estimator = E(μ bar) - μ
= 
= 
= 
= 
= 
= 3.9375 - 4.5
= - 0.5625 ≈ -0.56
∴ we get
Bias for the estimator = -0.56
Now,
Mean Square Error for the estimator = E[(μ bar - μ)²]
= Var(μ bar) + [Bias(μ bar, μ)]²
= 
= 
= ![\frac{1}{64} ( [{3Var(X_{1}) + 4Var(X_{2})] }) + 0.3136](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B64%7D%20%28%20%5B%7B3Var%28X_%7B1%7D%29%20%2B%204Var%28X_%7B2%7D%29%5D%20%20%7D%29%20%2B%200.3136)
= ![\frac{1}{64} [{3(57.76) + 4(57.76)}] } + 0.3136](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B64%7D%20%5B%7B3%2857.76%29%20%2B%204%2857.76%29%7D%5D%20%20%7D%20%2B%200.3136)
= ![\frac{1}{64} [7(57.76)}] } + 0.3136](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B64%7D%20%5B7%2857.76%29%7D%5D%20%20%7D%20%2B%200.3136)
= ![\frac{1}{64} [404.32] } + 0.3136](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B64%7D%20%5B404.32%5D%20%20%7D%20%2B%200.3136)
= 
= 6.6311
∴ we get
Mean Square Error for the estimator = 6.6311
1 reflection, 2 rotation,
Answer:
y = 5/8x + 12
Step-by-step explanation:
Slope = change in y/change in x
slope = 5/8
Using y = mx + b find b.
y = 5/8x + b
-2 = 5/8(-4) + b
b = 1/2
y = 5/8x + 12
<em>good luck, i hope this helps :)</em>
Answer:
A. None of the answers are correct
Step-by-step explanation:
∠3 is a verticle angle to ∠1
linear pair means they add up to 180
complementary mean they add up to 90