Step-by-step explanation:
![F=ma\\\\F=(300kg)(4m/s^2)\\F=1200N](https://tex.z-dn.net/?f=F%3Dma%5C%5C%5C%5CF%3D%28300kg%29%284m%2Fs%5E2%29%5C%5CF%3D1200N)
Answer:
= -6
positive/negative= negative (the sign rule)
54/9=6
You can use the calculator too
Step-by-step explanation:
Answer: correlation = positive
the estimated score would be 61
Step-by-step explanation:
it’s right trust me
Answer:
The 95% confidence interval for population mean is (18.19, 23.81).
Step-by-step explanation:
The confidence interval for population mean using the Student's <em>t</em>-distribution is:
![CI=\bar x\pm t_{\alpha /2, (n-1)}\frac{s}{\sqrt{n} }](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20t_%7B%5Calpha%20%2F2%2C%20%28n-1%29%7D%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D)
Given:
![\bar x=21\\s=6\\n=20\\\alpha =1-0.95=0.05](https://tex.z-dn.net/?f=%5Cbar%20x%3D21%5C%5Cs%3D6%5C%5Cn%3D20%5C%5C%5Calpha%20%3D1-0.95%3D0.05)
The critical value of <em>t</em> for <em>α </em>= 0.05 and degrees of freedom, (<em>n</em> - 1) = 19 is:
![t_{\alpha /2, (n-1)}=t_{0.05/2, 19}=2.093](https://tex.z-dn.net/?f=t_%7B%5Calpha%20%2F2%2C%20%28n-1%29%7D%3Dt_%7B0.05%2F2%2C%2019%7D%3D2.093)
Compute the 95% confidence interval for population mean as follows:
![CI=\bar x\pm t_{\alpha /2, (n-1)}\frac{s}{\sqrt{n} }\\=21\pm2.093\times \frac{6}{\sqrt{20} }\\=21\pm2.81\\=(18.19, 23.81)](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20t_%7B%5Calpha%20%2F2%2C%20%28n-1%29%7D%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D%5C%5C%3D21%5Cpm2.093%5Ctimes%20%5Cfrac%7B6%7D%7B%5Csqrt%7B20%7D%20%7D%5C%5C%3D21%5Cpm2.81%5C%5C%3D%2818.19%2C%2023.81%29)
Thus, the 95% confidence interval for population mean is (18.19, 23.81).
Answer:
5.3 or (4217pi/2500)
Step-by-step explanation:
Create a right triangle with the coordinates provided.
We can ignore the negative sign and create the equation
![tan(x) = \frac{1.33}{2}](https://tex.z-dn.net/?f=tan%28x%29%20%3D%20%5Cfrac%7B1.33%7D%7B2%7D%20)
x = 33.624
We then add 270 and x together because the coordinates are in the 4th quadrant.
angle = 303.624
To convert to radians, we multiply this number by pi/180
5.3 radians