Answer:
![t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%20x_1-%20%5Cbar%20x_2%7D%7B%5Csqrt%7B%5Cfrac%7Bs_1%5E2%7D%7Bn_1%7D%20%2B%5Cfrac%7Bs_2%5E2%7D%7Bn_2%7D%20%7D%20%7D)
Step-by-step explanation:
H0: µ1 – µ2 = 0
HA: µ1 – µ2 ≠ 0
We have given,
The population variances are not known and cannot be assumed equal.
The test statistic for the test is
![t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%20x_1-%20%5Cbar%20x_2%7D%7B%5Csqrt%7B%5Cfrac%7Bs_1%5E2%7D%7Bn_1%7D%20%2B%5Cfrac%7Bs_2%5E2%7D%7Bn_2%7D%20%7D%20%7D)
Where,
= sample meaan of population 1
= sample mean of population 2
= sample size of population 1
= sample size of population 2
Therefore, this is the test
![t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%20x_1-%20%5Cbar%20x_2%7D%7B%5Csqrt%7B%5Cfrac%7Bs_1%5E2%7D%7Bn_1%7D%20%2B%5Cfrac%7Bs_2%5E2%7D%7Bn_2%7D%20%7D%20%7D)
Answer:
a. y=x+1
b. x=-3
Step-by-step explanation:
a. slope= (6-4)/(5-3)=1
substitute (5,6) to y=1x+b; b=1
therefore, y=x+1
b. x=-3
The probability that it strikes Texas given that it strikes the US will be "0.071".
Given that,
The total area of US,
- P(U) = 3.79 million square miles
Area covered be Taxes,
- P(T) = 0.27 million square miles
According to the Baye's theorem,
→ ![P(\frac{T}{U} ) = \frac{P(T)\times P(\frac{U}{T} )}{P(U)}](https://tex.z-dn.net/?f=P%28%5Cfrac%7BT%7D%7BU%7D%20%29%20%3D%20%5Cfrac%7BP%28T%29%5Ctimes%20P%28%5Cfrac%7BU%7D%7BT%7D%20%29%7D%7BP%28U%29%7D)
By substituting the values, we get
→ ![\frac{P(T)}{P(U)} = \frac{0.27}{3.79}](https://tex.z-dn.net/?f=%5Cfrac%7BP%28T%29%7D%7BP%28U%29%7D%20%20%3D%20%5Cfrac%7B0.27%7D%7B3.79%7D)
→ ![=0.071](https://tex.z-dn.net/?f=%3D0.071)
Thus the above answer is correct.
Learn more about probability here:
brainly.com/question/16426250
Answer:
e
Step-by-step explanation:
6*4*6 = 144
Answer:
6
Step-by-step explanation:
sqrt(36) = 6