<span>36x^2+60x+25 = (6x + 5)^2
A = (</span>6x + 5)(6x + 5)
answer
side length = 6x + 5
Answer:
4 [ ( x - 5) ( x + 5) ]
Step-by-step explanation:
4x²-100
4 (x²-25)
4 (x²-5²)
4 [( x - 5) ( x + 5)]
Answer:
![t _{critical} = 1.760](https://tex.z-dn.net/?f=t%20_%7Bcritical%7D%20%3D%201.760)
t = 2.2450
d. 0.264
Step-by-step explanation:
The null hypothesis is:
![H_o: \mu_1 - \mu_2 = 0](https://tex.z-dn.net/?f=H_o%3A%20%5Cmu_1%20-%20%5Cmu_2%20%3D%200)
Alternative hypothesis;
![H_a : \mu_1 - \mu_2 > 0\\](https://tex.z-dn.net/?f=H_a%20%3A%20%5Cmu_1%20-%20%5Cmu_2%20%3E%200%5C%5C)
The pooled variance t-Test would have been determined if the population variance are the same.
![S_p^2 = \dfrac{(n_1-1)S_1^2+(n_2-1)S^2_2}{(n_1-1)+(n_2-1)}](https://tex.z-dn.net/?f=S_p%5E2%20%3D%20%5Cdfrac%7B%28n_1-1%29S_1%5E2%2B%28n_2-1%29S%5E2_2%7D%7B%28n_1-1%29%2B%28n_2-1%29%7D)
![S_p^2 = \dfrac{(8-1)2.507^2+(8-1)2.8282^2}{(8-1)+(8-1)}](https://tex.z-dn.net/?f=S_p%5E2%20%3D%20%5Cdfrac%7B%288-1%292.507%5E2%2B%288-1%292.8282%5E2%7D%7B%288-1%29%2B%288-1%29%7D)
![S_p^2 = 7.14](https://tex.z-dn.net/?f=S_p%5E2%20%3D%207.14)
The t-test statistics can be computed as:
![t= \dfrac{(x_1-x_2)-(\mu_1 - \mu_2)}{\sqrt{Sp^2 ( \dfrac{1}{n} +\dfrac{1}{n_2})}}](https://tex.z-dn.net/?f=t%3D%20%5Cdfrac%7B%28x_1-x_2%29-%28%5Cmu_1%20-%20%5Cmu_2%29%7D%7B%5Csqrt%7BSp%5E2%20%28%20%5Cdfrac%7B1%7D%7Bn%7D%20%2B%5Cdfrac%7B1%7D%7Bn_2%7D%29%7D%7D)
![t= \dfrac{(9-6)-0}{\sqrt{7.14 ( \dfrac{1}{8} +\dfrac{1}{8})}}](https://tex.z-dn.net/?f=t%3D%20%5Cdfrac%7B%289-6%29-0%7D%7B%5Csqrt%7B7.14%20%28%20%5Cdfrac%7B1%7D%7B8%7D%20%2B%5Cdfrac%7B1%7D%7B8%7D%29%7D%7D)
![t= \dfrac{3}{1.336}](https://tex.z-dn.net/?f=t%3D%20%5Cdfrac%7B3%7D%7B1.336%7D)
t = 2.2450
Degree of freedom ![df = (n_1 -1) + ( n_2 +1 )](https://tex.z-dn.net/?f=df%20%3D%20%28n_1%20-1%29%20%2B%20%28%20n_2%20%2B1%20%29)
df = (8-1)+(8-1)
df = 7 + 7
df = 14
At df = 14 and ∝ = 0.05;
![t _{critical} = 1.760](https://tex.z-dn.net/?f=t%20_%7Bcritical%7D%20%3D%201.760)
Decision Rule: To reject the null hypothesis if the t-test is greater than the critical value.
Conclusion: We reject
and there is sufficient evidence to conclude that the test scores for contact address s less than Noncontact athletes.
To calculate r²
The percentage of the variance is;
![r^2 = \dfrac{t^2}{t^2 + df}](https://tex.z-dn.net/?f=r%5E2%20%3D%20%5Cdfrac%7Bt%5E2%7D%7Bt%5E2%20%2B%20df%7D)
![r^2 = \dfrac{2.2450^2}{2.2450^2 + 14}](https://tex.z-dn.net/?f=r%5E2%20%3D%20%5Cdfrac%7B2.2450%5E2%7D%7B2.2450%5E2%20%2B%2014%7D)
![r^2 = \dfrac{5.040025}{5.040025+ 14}](https://tex.z-dn.net/?f=r%5E2%20%3D%20%5Cdfrac%7B5.040025%7D%7B5.040025%2B%2014%7D)
![r^2 = 0.2647](https://tex.z-dn.net/?f=r%5E2%20%3D%200.2647)
54 x 1
2 x 27
3x 18
4 x 14
6 x 9
Answer: g = 10
Step-by-step explanation: 8g + 3 = –6g + 13g + 13
8g + 3 = (–6g + 13g) + (13)
8g + 3 = 7g + 13
8g + 3 - 7g = 7g + 13 - 7g
g + 3 = 13
g + 3 - 3 = 13 - 3
g = 10