Answer:
The Answers are
![\csc (-45) =-\sqrt{2} \\\\\sec (-45) = \sqrt{2}\\\\\cot (-45) = -1](https://tex.z-dn.net/?f=%5Ccsc%20%28-45%29%20%3D-%5Csqrt%7B2%7D%20%5C%5C%5C%5C%5Csec%20%28-45%29%20%3D%20%5Csqrt%7B2%7D%5C%5C%5C%5C%5Ccot%20%28-45%29%20%3D%20-1)
Step-by-step explanation:
Let we Know some Identities
cosec (-θ) = - cosec (θ)
sec (-θ) = sec (θ)
cot (-θ) = - cot (θ)
Also,
![\csc (45) =\sqrt{2} \\\\\sec (45) = \sqrt{2}\\\\\cot (45) = 1](https://tex.z-dn.net/?f=%5Ccsc%20%2845%29%20%3D%5Csqrt%7B2%7D%20%5C%5C%5C%5C%5Csec%20%2845%29%20%3D%20%5Csqrt%7B2%7D%5C%5C%5C%5C%5Ccot%20%2845%29%20%3D%201)
Therefore,
![\csc (-45) =-\csc (45)=-\sqrt{2} \\\\\sec (-45) =\sec (45) =\sqrt{2}\\\\\cot (-45) =-\cot (45)= -1](https://tex.z-dn.net/?f=%5Ccsc%20%28-45%29%20%3D-%5Ccsc%20%2845%29%3D-%5Csqrt%7B2%7D%20%5C%5C%5C%5C%5Csec%20%28-45%29%20%3D%5Csec%20%2845%29%20%3D%5Csqrt%7B2%7D%5C%5C%5C%5C%5Ccot%20%28-45%29%20%3D-%5Ccot%20%2845%29%3D%20-1)
You would divide the water bill by 2 to find two equal payments
A, She can buy from 0 to 12 bags, but no more.
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.