Answer:
0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is the probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random?
There are 5 freshman non-Statistics majors out of 102 students.
Then, there will be 18 junior statistics majors out of 101 students(1 will have already been chosen). So
0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random
The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles
<h3>What is a Pythagoras theorem?</h3>
The square of the longest side is equal to the square of the sum of the othersides.
Before we can calculate the total distance, we will need to get the hypotenuse on both sides using the Pythagoras theorem as shown:
H^2= 12^2 + 9^2
H² = 144 + 81
H² = 225
H = 15
For the other hypotenuse
h² = 12² + 5²
h² = 144 + 25
h² = 169
h = 13 mils
The total distance = 5 + 15 + 9 + 13
The total distance = 42 miles
The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles
Learn more on Pythagoras theorem here: brainly.com/question/12306722
All i know is that if the radius of a circle is 4 feet, the the diameter is 8 feet. Sorry, I don't know the rest.
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.