You roll a die, winning nothing if the number of spots is odd, $5 for a 2 or a 4, and $20 for a 6. a) Find the expected va
lue and standard deviation of your prospective winnings. b) You play five times. Find the mean and standard deviation of your total winnings. c) You play 50 times. What is the probability that you win at least $270?
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Answer:
The Two Column Proof is given below.
Step-by-step explanation:
Given:
To Prove:
∠ P ≅ ∠ N
Proof:
In Δ MPO and Δ MNO
STATEMENT REASONS
1. MP ≅ MN 1. Given
2. PO ≅ NO 2. Given
3. MO ≅ MO 3. Reflexive property
4. ΔMPO ≅ ΔMNO 4. Side-Side-Side congruence test}
5. ∠MPO ≅∠MNO 5. Corresponding parts of congruent Triangles
i.e ∠ P ≅ ∠ N ..................Proved
When you write a function in the form , y is the dependent variable, and x is the independent variable.
So, if b is the independent variable, it means that we have to solve the expression for r.
To do so, we perform the following steps: start with
Add 12 to both sides
Divide both sides by 4:
So, we wrote the expression in the form , which means that r is the dependent variable and b is the independent variable, as requested.