Answer:
Step-by-step explanation:
The sample proportion 

The null hypothesis and the alternative hypothesis:

Thus; the test statistics is:





P-value = 2 × P(Z< - 1.768)
From the z tables
P-value = 2 × 0.03853
P-value = 0.07706
Thus, the p-value is 0.05 < P-value < 0.10
It’s not a function because the line folds over itself
Answer:
C (-6, 2)
Step-by-step explanation:
in order to solve this system of equation, we would say that let
y = 5x + 32................................equation 1
y = -4x - 22.........................................equation2
substitute equation 1 into equation 2
we have,
5x + 32 = -4x - 22
combine the like terms
5x +4x + 32 = -22
9x = -22-32
9x = - 54
divide both sides by the coefficient of x which is 9
9x/9 = -54/9
x = -6
put x =-6 into equation 1
y = 5x + 32................................equation 1
y = 5(-6) + 32
y = -30 + 32
y = 2
therefore the value of x and y is -6 and 2 respectively
Answer:
0.67
Step-by-step explanation:
The times that I choose a person and it claim english as its mother tongue is a random variable with geometric distribution (in this case, the parameter is p=0.82).
Then:
P(X=2) = (0.82) x (0.82) = 0.6724
The answer is b because is is the only one that matches