Answer:
-60
Step-by-step explanation:
- 4-1=3
- 3-3=0
- 0-5=-5
- -5-7=-12
- -12-9=-21
- -21-11=-32
- -32-13=-45
- -45-15=<u>-60</u>
Answer:
since p-value (0.0801) is < 0.10, the result is significant
so, we reject Null hypothesis
Step-by-step explanation:
Given the data in the question;
Null Hypothesis H₀ : p = 0.27
Alternative Hypothesis H₁ : p ≠ 0.27
Test statistic
z = ( - p)/√()
we substitute
z = (0.25 - 0.27)/√()
z = -0.02 / √( 0.1971/1500)
z = -0.02 / 0.01146
z = -1.7452 ≈ -1.75
p-value;
for z = -1.75, the two tailed p value is 0.0801
Decision
since p-value (0.0801) is < 0.10, the result is significant
so, we reject Null hypothesis
Answer:
f(x)=3x+1 = (-1/3, 0)
g(x)=4x^2-4 = (1, 0), (-1, 0)
Step-by-step explanation:
Hope this helped!
Answer:
a)45/125
b)25/125
c)80/125
d)45/125
e)10/35
Step-by-step explanation:
hope it is correct
Answer:
(3/8) + (1/8)cos 4x - (1/2)cos 2x
Step-by-step explanation:
sin^(4) x = (sin² x ) (sin² x) ------ (1)
Recall double angle identity: cos 2x = 1 - 2 sin² x
or sin² x = (1/2) (1 - cos 2x)
substituting this into (1)
sin^(4) x = (sin² x ) (sin² x) = [ (1/2)(1-cos 2x) ]²
= (1/4) ( 1 - 2 cos 2x + cos²2x) ------(2)
Also recall double angle identiy : cos 2x = 2 cos² x - 1
or cos² x = (1/2) ( 1+ cos 2x)
or cos² 2x = (1/2) ( 1+ cos 4x)
substituting this into (2)
(1/4) ( 1 - 2 cos 2x + cos²2x)
= (1/4) [ 1 - 2 cos 2x + (1/2)(1 + cos 4x) ] (expand and reduce)
= (3/8) + (1/8)cos 4x - (1/2)cos 2x