Using the z-distribution, it is found that the z-value is of z = -2.29.
<h3>How to find the critical value of Z?</h3>For a confidence level of , it is Z with a p-value of
.
We have a 97.8% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = -2.29.
More can be learned about the z-distribution at brainly.com/question/25890103
Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ± = ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )
Answer:
f(- 2) = 8
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 2 - 4(- 2)³ - 11(- 2)² +3(- 2) - 6
= 2(16) - 4(- 8) - 11(4) - 6 - 6
= 32 + 32 - 44 - 12
= 64 - 56
= 8