Answer:
2(n-12)
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
×
= ![a^{b+c}](https://tex.z-dn.net/?f=a%5E%7Bb%2Bc%7D)
= ![a^{b-c}](https://tex.z-dn.net/?f=a%5E%7Bb-c%7D)
×
= ![(ab)^{c}](https://tex.z-dn.net/?f=%28ab%29%5E%7Bc%7D)
<em>Answer</em>
the <u>triangle on the bottom left</u> has the greatest area
<em>Step-by-step explanation</em>
first one has an area of 24.5
second one has an area of 19.6
the third one has an area of 27.6 (greatest area)
19.6>24.5>27.6
<em>hope this helped!</em>
<em>have an awesome day :D</em>
Answer:
![0.071,1.928](https://tex.z-dn.net/?f=0.071%2C1.928)
Step-by-step explanation:
Downtown Store North Mall Store
Sample size n 25 20
Sample mean
$9 $8
Sample standard deviation s $2 $1
![n_1=25\\n_2=20](https://tex.z-dn.net/?f=n_1%3D25%5C%5Cn_2%3D20)
![\bar{x_1}=9\\ \bar{x_2}=8](https://tex.z-dn.net/?f=%5Cbar%7Bx_1%7D%3D9%5C%5C%20%5Cbar%7Bx_2%7D%3D8)
![s_1=2\\s_2=1](https://tex.z-dn.net/?f=s_1%3D2%5C%5Cs_2%3D1)
![x_1-x_2=9-8=1](https://tex.z-dn.net/?f=x_1-x_2%3D9-8%3D1)
Standard error of difference of means = ![\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bs_1%5E2%7D%7Bn_1%7D%2B%5Cfrac%7Bs_2%5E2%7D%7Bn_2%7D%7D)
Standard error of difference of means = ![\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B2%5E2%7D%7B25%7D%2B%5Cfrac%7B1%5E2%7D%7B20%7D%7D)
Standard error of difference of means = ![0.458](https://tex.z-dn.net/?f=0.458)
Degree of freedom = ![\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B%28%5Cfrac%7Bs_1%5E2%7D%7Bn_1%7D%2B%5Cfrac%7Bs_2%5E2%7D%7Bn_2%7D%7D%29%5E2%7D%7B%5Cfrac%7B%28%5Cfrac%7Bs_1%5E2%7D%7Bn_1%7D%29%5E2%7D%7Bn_1-1%7D%2B%5Cfrac%7B%28%5Cfrac%7Bs_2%5E2%7D%7Bn_2%7D%29%5E2%7D%7Bn_2-1%7D%7D)
Degree of freedom = ![\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B%28%5Cfrac%7B2%5E2%7D%7B25%7D%2B%5Cfrac%7B1%5E2%7D%7B20%7D%7D%29%5E2%7D%7B%5Cfrac%7B%28%5Cfrac%7B2%5E2%7D%7B25%7D%29%5E2%7D%7B25-1%7D%2B%5Cfrac%7B%28%5Cfrac%7B1%5E2%7D%7B20%7D%29%5E2%7D%7B20-1%7D%7D)
Degree of freedom =36
So, z value at 95% confidence interval and 36 degree of freedom = 2.0280
Confidence interval = ![(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)](https://tex.z-dn.net/?f=%28x_1-x_2%29-z%20%5Ctimes%20SE%28x_1-x_2%29%2C%28x_1-x_2%29%2Bz%20%5Ctimes%20SE%28x_1-x_2%29)
Confidence interval = ![1-(2.0280)\times 0.458,1+(2.0280)\times 0.458](https://tex.z-dn.net/?f=1-%282.0280%29%5Ctimes%200.458%2C1%2B%282.0280%29%5Ctimes%200.458)
Confidence interval = ![0.071,1.928](https://tex.z-dn.net/?f=0.071%2C1.928)
Hence Option A is true
Confidence interval is ![0.071,1.928](https://tex.z-dn.net/?f=0.071%2C1.928)
$137.5 is left from spending 45% of $250