Answer:
0.06
Step-by-step explanation:
Answer:
a) -1.25
b) 0.2112
c) -1.96
Step-by-step explanation:
Data provided in the question:
Sample size, n = 400
H0 : p = 20
= 175
Now,
a) The test statistic is given as:
Z =
on substituting the respective values, we get
Z =
= -1.25
b) The p-value = 2 × P(Z <-1.25)
Now from the standard normal table
P(Z <-1.25) = 10.56% = 0.1056
Thus,
p-value = 2 × 1056 = 0.2112
c) for a = 0.05,
the critical value is i.e
Now from standard normal table
= -1.96
= because 4 times 3 minus 1 equals 11 and 5 times 3 minus 4 equals 11
Answer:
(2,-9)
Step-by-step explanation:
Multiply out the polynomial to get:
x^2-4x-5
the vertex formula is -b/2a (use the coefficients of the equation above)
-(-4)/2(1) = 4/2 = 2
we know the x value of the vertex is 2. Now we can plug that into the original equation to get the y value.
(2-5)(2+1)
(-3)(3) = -9
so the coordinate is (2,-9)