If you mean to find 4 cos(2<em>a</em>), then recall the double angle identity for cosine:
cos(2<em>x</em>) = 2 cos²(<em>x</em>) - 1
so that
4 cos(2<em>a</em>) = 4 (2 cos²(<em>x</em>) - 1) = 4 (√3 - 1)
Answer:
∠ B ≈ 53°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan B = = = , then
∠ B = ( ) ≈ 53° ( to the nearest degree )
28,800 seconds =3 workers
9,600=1
So
9,600(5)=48,000
48,000/60=800 minutes
Or
800/60=13.333 hours
Answer:
H0 : μ = 0.5
H0 : μ > 0.5
Kindly check explanation
Step-by-step explanation:
H0 : μ = 0.5
H0 : μ > 0.5
We perform a right tailed test :
Sample proportion :
Number of games won, x = 142
Number of games, n = 250
phat = x / n = 142 / 250 = 0.568 = 56.8%
Yes, it is consistent
Test statistic :
(phat - p) * √Phat(1-Phat)/n
1 -Phat = 1 -0.568 = 0.432
(0.568 - 0.5) /√(0.568*0.432)/250
0.068 / 0.0313289
= 2.17
The Pvalue using the z test statistic :
Pvalue = 0.015
α = 0.03
Since ;
Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.
if u can get a better picture I can help you