Answer:
Step-by-step explanation:
From the information given:
let
be the men of the population 1 (Raymondville) and
be the mean of the population 2 (Rosenberg).
Here the Restaurateur wants to prove that Raymondville residents dine out more often than Rosenberg residents.
i.e ![\mu_1 > \mu _2](https://tex.z-dn.net/?f=%5Cmu_1%20%3E%20%5Cmu%20_2)
The null hypothesis and alternative hypothesis:
![H_o : \mu_1 \le \mu_2 \\ \\ H_a: \mu_1 > \mu_2](https://tex.z-dn.net/?f=H_o%20%3A%20%5Cmu_1%20%5Cle%20%5Cmu_2%20%5C%5C%20%5C%5C%20%20H_a%3A%20%5Cmu_1%20%3E%20%5Cmu_2)
![H_o : \mu_1 \le \mu_2\ \ vs \ \ H_a: \mu_1 > \mu_2 \implies \text{upper tailed test}](https://tex.z-dn.net/?f=H_o%20%3A%20%5Cmu_1%20%5Cle%20%5Cmu_2%5C%20%20%5C%20vs%20%5C%20%20%5C%20%20H_a%3A%20%5Cmu_1%20%3E%20%5Cmu_2%20%5Cimplies%20%5Ctext%7Bupper%20tailed%20test%7D)
The shows that this test is one-tailed with the rejection area on the right side.
The appropriate decision: is to reject
if the test statistics is greater than the critical value)
Answer:
Step-by-step explanation:
The given triangle ABC is an obtuse triangle because one of its angles it greater than 90 degrees. The sum of the angles in a triangle is 180 degrees. This means that
Angle A + Angle B + Angle C = 180 degrees
Looking at the triangle,
Angle A = 30 degrees
Angle C = 20 degrees
Therefore,
30 + angle B + 20 = 180
Angle B + 50 = 180
Subtracting 50 from the left hand side and the right hand side of the equation, it becomes
Angle B + 50 - 50 = 180 - 50
Angle B = 130 degrees
So, find x to complete
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20)
x =
![\frac{8}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B12%7D%20)
But, since 8/12 is already equal to 2/3, this means:
x=1
(5z+8)(4z+20) multiply like terms like 5z & 4z as well as multiply eight and 20 witch equals 20z+ 160