Answer:
Option C. Stem Leaves 6 7 7 2 5 8 5 7 9 9 9 0 9 10 0
Option D.
Step-by-step explanation:
The data values are 67, 72, 85, 75, 89, 89, 87, 90, 99 and 100.
Arranging the data values in ascending order
67, 72, 75, 85, 87, 89, 89, 90, 99, 100
The stem and lead plot can be shown under and stem is denoted as "S" whereas leaves are denoted as "L".
S L
6 7
7 2 5
8 5 7 9 9
9 0 9
10 0
The longer row of stem indicates the higher frequencies and so the length of rows are similar to the heights of bars in histogram.
Answer:
The conclusion "T" logically follows from the premises given and the argument is valid
Step-by-step explanation:
Let us use notations to represent the steps
P: I take a bus
Q: I take the subway
R: I will be late for my appointment
S: I take a taxi
T: I will be broke
The given statement in symbolic form can be written as,
(P V Q) → R
S → (¬R ∧ T)
(¬Q ∧ ¬P) → S
¬R
___________________
∴ T
PROOF:
1. (¬Q ∧ ¬P) → S Premise
2. S → (¬R ∧ T) Premise
3. (¬Q ∧ ¬P) → (¬R ∧ T) (1), (2), Chain Rule
4. ¬(P ∨ Q) → (¬R ∧ T) (3), DeMorgan's law
5. (P ∨ Q) → R Premise
6. ¬R Premise
7. ¬(P ∨ Q) (5), (6), Modus Tollen's rule
8. ¬R ∧ T (4), (7), Modus Ponen's rule
9. T (8), Rule of Conjunction
Therefore the conclusion "T" logically follows from the given premises and the argument is valid.
