Answer:
![y=\frac{4}{3}x+\frac{4}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B3%7Dx%2B%5Cfrac%7B4%7D%7B3%7D)
Step-by-step explanation:
Let
and
:
<u>Determine slope</u>
![m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{4-(-4)}{2-(-4)}\\ \\m=\frac{4+4}{2+4}\\ \\m=\frac{8}{6}\\ \\m=\frac{4}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%20%5C%5Cm%3D%5Cfrac%7B4-%28-4%29%7D%7B2-%28-4%29%7D%5C%5C%20%5C%5Cm%3D%5Cfrac%7B4%2B4%7D%7B2%2B4%7D%5C%5C%20%5C%5Cm%3D%5Cfrac%7B8%7D%7B6%7D%5C%5C%20%5C%5Cm%3D%5Cfrac%7B4%7D%7B3%7D)
<u>Use either coordinate point to find "b", the y-intercept</u>
![y=mx+b\\\\4=\frac{4}{3}(2)+b\\ \\4=\frac{8}{3}+b\\ \\\frac{4}{3}=b](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C%5C%5C4%3D%5Cfrac%7B4%7D%7B3%7D%282%29%2Bb%5C%5C%20%5C%5C4%3D%5Cfrac%7B8%7D%7B3%7D%2Bb%5C%5C%20%5C%5C%5Cfrac%7B4%7D%7B3%7D%3Db)
<u>Final Equation</u>
![y=\frac{4}{3}x+\frac{4}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B3%7Dx%2B%5Cfrac%7B4%7D%7B3%7D)
Answer:
Have them solve mathematical problems and those with the top two scores can go
Step-by-step explanation:
Fair game
Answer:
0.2241 ; 0.9437
Step-by-step explanation:
Number of independent normal observations = 55
Mean(m) = 100
Variance of first 50 = 76.4
Variance of last five = 127
Probability that first observation is between 98 and 103
Zscore = x - m / sqrt(v)
For x = 103
Zscore = (103 - 100) /sqrt(76.4) = 0.34
For x = 98
Zscore = (98 - 100) / sqrt(76.4) = - 0.23
P(Z < - 0.23) = 0.4090
P(Z < 0.34) = 0.6331
0.6331 - 0.4090 = 0.2241
B) 1/n²Σ[(X1.V1) + (X2. V2)]
1/55²[(50*76.4) + (5*127)]
1/55² [3820 + 635]
1/55² [4455]
4455/3025
= 1.4727
Hence, variance of entire sample = 1.4727
X = 98 and 103
Zscore = x - m / sqrt(v)
For x = 103
Zscore = (103 - 100) /sqrt(1.4727) = 2.47
For x = 98
Zscore = (98 - 100) / sqrt(1.4727) = - 1.65
P(Z < - 1.65) = 0.0495
P(Z < 2.47) = 0.9932
0.9932 - 0.0495 = 0.9437