## Show that if A,B, and C are sets, then A∩B∩C = A ˉ ∪ B ˉ ∪ C ˉ a) by showing each side is a subset of the other side. b) using a membership table

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# Mathematics

## Let A and B be sets. Show that a) (A ∩ B) ⊆ A. b) A ⊆ (A ∪ B). c) A − B ⊆ A. d) A ∩ (B − A) = ∅. e) A ∪ (B − A) = A ∪ B please show all your steps

## 8-56. Of 1000 randomly selected cases of lung cancer, 823

## A spin 1/2 particle is in an orbital angular momentum

Let A and B be sets. Show that: (A ∩ B) ⊆ A. A ⊆ (A ∪ B). A − B ⊆ A. A ∩ (B − A) = ∅. A ∪ (B − A) = A ∪ B. EXPERT ANSWER a) To show that (A ∩ B) ⊆ A, we need to prove that …

8-56. Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years. (a) Calculate a 95% two-sided confidence interval on the death rate from lung cancer. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true …

8-56. Of 1000 randomly selected cases of lung cancer, 823 Read More »

A spin 1/2 particle is in an orbital angular momentumstate. a) Starting with the total angular momentum state“>in terms of the eigenstatesforand, and the eigenstates