Answer:10
Step-by-step explanation:
Each exterior angle is (3x + 6)°
A decagon has 10 sides
Each exterior angle=360/n
n=number of sides
3x+6=360/10
Cross multiply
10(3x + 6)=360
30x+60=360
Collect like terms
30x=360-60
30x=300
Divide both sides by 30
30x/30=300/30
x=10
A = pi(r)^2
a= pi (14)^2
a=196pi
B + f = 8
where b is the current bus fare and f the current ferry fare.
1.10b + 1.25f= 9.25. Replace f with 8- b:
1.10b + 1.25(8-b) = 9.25
Then:
1.10b-1.25b + 10 = 9.25, and so
-0.15b = -0.75. Then b = -0.75 / (-0.15) = 5
The bus fare is current $5, and so the ferry fare is $3.
Answer:
Step-by-step explanation:
a) A test of H0: p = 0.6 vs. HA: p < 0.6 fails to reject the null hypothesis. Later it is discovered that p = 0.7.
Answer: No error has been made since there is not enough statistical evidence to reject the null.
b) A test of H0: μ = 30 vs. HA: μ > 30 rejects the null hypothesis. Later it is discovered that μ = 29.9.
A type I error has been made. Rejecting the null hypothesis when it is actually true.
c) A test of H0: p = 0.4 vs. HA: p /= 0.4 rejects the null hypothesis. Later it is discovered that p = 0.55.
A type I error has been made since the p value was greater than 0.4, one will fail to reject the null but in the case the null was rejected.
d) A test of H0: p = 0.7 vs. HA: p < 0.7 fails to reject the null hypothesis. Later it is discovered that p = 0.6.
A type II error has been made since the p value is less than 0.7 and it was expected that the null should be rejected but that ws not the case.