199.
the z score for the 90th percentile is 1.28, so you can solve the equation
which gets you the 199
Answer: x=4
Step-by-step explanation:
Subtract 6x from both sides.
5x+3−6x=6x−1−6x
−x+3=−1
Step 2: Subtract 3 from both sides.
−x+3−3=−1−3
−x=−4
Step 3: Divide both sides by -1.
−x/−1 = −4/−1
x=4
Answer: The given logical equivalence is proved below.
Step-by-step explanation: We are given to use truth tables to show the following logical equivalence :
P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)
We know that
two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.
The truth table is as follows :
P Q ∼P ∼Q P⇔ Q ∼P ∨ Q ∼Q ∨ P (∼P ∨ Q)∧(∼Q ∨ P)
T T F F T T T T
T F F T F F T F
F T T F F T F F
F F T T T T T T
Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.
Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).