To get the constant of proportionality (unit rate) you must find the miles driven in 1 hour. To get this you simply divide 200 by 4...
200÷4=50
So, the constant of proportionality is 50 mph.
Answer:
180°
Step-by-step explanation:
Well we know that AB is 90° and considering CB is the exact same I guess it's 90° too so 90+90=180°
Answer:
There is no enough evidence that the viscosity is not 3000. The viscosity is not significantly different from 3000.
Step-by-step explanation:
We have to perform an hypothesis test on the mean.
The null and alternative hypothesis are:
![H_0: \mu=3000\\\\H_1:\mu\neq3000](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%3D3000%5C%5C%5C%5CH_1%3A%5Cmu%5Cneq3000)
The significance level is 0.05.
The mean of the sample is:
![M=(1/5)*(2781+2900+3013+2856+2888)=2887.6](https://tex.z-dn.net/?f=M%3D%281%2F5%29%2A%282781%2B2900%2B3013%2B2856%2B2888%29%3D2887.6)
The standard deviation of the sample is:
![s=\sqrt{\frac{1}{5-1}*[(2781-2887.6)^2 +(2900-2887.6)^2 +...]}=84.0](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B5-1%7D%2A%5B%282781-2887.6%29%5E2%20%2B%282900-2887.6%29%5E2%20%2B...%5D%7D%3D84.0)
The statistic t can be calculated as:
![t=\frac{M-\mu}{s} =\frac{2887.6-3000}{84} =-1.338](https://tex.z-dn.net/?f=t%3D%5Cfrac%7BM-%5Cmu%7D%7Bs%7D%20%3D%5Cfrac%7B2887.6-3000%7D%7B84%7D%20%3D-1.338)
The degrees of freedom are ![df=N-1=5-1=4](https://tex.z-dn.net/?f=df%3DN-1%3D5-1%3D4)
The P-value for t=-1.338 and df=4 is P=0.2519. The P-value is greater than the significance level, so it failed to reject the null hypothesis.
There is no enough evidence that the viscosity is not 3000.
The answer is a rectangle