Sterling has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is trying to prove that OL ≅ ON.
Sterling made one error in the proof as indicated by the gold highlighted cell. Rewrite the one cell in the space provided to show the correction. (no need to rewrite the whole proof) (5 points)
Triangle OLN, where angle OLN is congruent to angle LNO
Step Statement Reason
1 ∠OLN ≅ ∠LNO Given
2 Draw OE as a perpendicular bisector to LN by Construction
3 m∠LEO = 90° Definition of a Perpendicular Bisector
4 m∠NEO = 90° Definition of a Perpendicular Bisector
5 LE ≅ EN Definition of a Perpendicular Bisector
6 ΔOLE ≅ ΔONE Hypotenuse-Leg (HL) Postulate
7 OL ≅ ON CPCTC
Triangle OLN, where angle OLN is congruent to angle LNO
Step Statement Reason
1 ∠OLN ≅ ∠LNO Given
2 Draw OE as a perpendicular bisector to LN by Construction
3 m∠LEO = 90° Definition of a Perpendicular Bisector
4 m∠NEO = 90° Definition of a Perpendicular Bisector
5 LE ≅ EN Definition of a Perpendicular Bisector
6 ΔOLE ≅ ΔONE Hypotenuse-Leg (HL) Postulate
7 OL ≅ ON CPCTC
1 answer:
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We'll start with the expression for the quotient of and
, which means we'll use division:
Now we find less than that, meaning we'll use subtraction:
Answer:
The probability of selling two units is 0.7.
Step-by-step explanation:
It is given that in a single-period inventory situation, the probabilities of demand being 1, 2, 3, or 4 units are 0.3, 0.3, 0.2, and 0.2, respectively.
It means,
If two units are stocked, both of them are sold. It means the demand must be 2 or greater than 2.
The probability of selling two units is
Substitute the given probabilities in the above formula.
Therefore the probability of selling both of them is 0.7.