They intersect at a right angle
can I have brainliest if I answer
Answer:
C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97
Step-by-step explanation:
The given data is
x` Std. Dev
R. disagrees 4.16 0.854
P. disagrees 3.82 0.967
From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854
while
the P. disagrees has a mean of 3.82 and standard deviation of 0.967.
Same figures are given only in option C because
Rounding 0.854 gives 0.85
Rounding 0.967 gives 0.97
So only option C is the best choice.
C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97
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.
Hi!
We can see the river is a straight line.
This means that the angles that fall upon it are supplementary angles, and will add up to 180 degrees.
Therefore:

Combine like terms:

Subtract 21 from both sides:

Divide both sides by 3:

Therefore, the value of x is 53 degrees.