The distance between them is 9.
Answer:
P-value ≈ 0.3463
Step-by-step explanation:
Hypothesis test would be
:p=0.20
:p>0.20
We need to calculate the z-score of sample proportion and then the corresponding P-value.
z-score can be calculated as:
z=
where
- p(s) is the sample proportion of specimens yield before the theoretical point (
)
- p is the proportion assumed under null hypothesis. (0.20)
- N is the sample size (40)
Using the numbers
z=
=0.3953
and the P-value is then P(z)≈0.3463
Answer:
second option
Step-by-step explanation:
Given
x² - 6x - 33 = 0 ( add 33 to both sides )
x² - 6x = 33
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 33 + 9
(x - 3)² = 42 → second option
Answer:55mm
Explain:I know
1/4 because 6/24 can be simplified all the way down to 1/4