Less than $3 because 25/7/2
Answer:
Variance =9.2983, 27.6927
Standard deviation = 3.0493, 5.2624
Step-by-step explanation:
n = 20
S = 14.75
X² = chisquare
N-1 = degree of freedom
Alpha = 0.1
Alpha/2 = 0.1/2 = 0.05
1-0.1/2 = 0.95
Using statistics table
X² 19,0.05 = 30.14
X² 19, 0.95 = 10.12
A. 19(14.75)/30.14 , 19(14 75)/10.12
= 9.2983, 27.6927 for the variance of the population
B. Standard deviation = square root of variance
= √9.2983, √27.6927
= 3.0493, 5.2624
Please use attachment for better understanding
Answer:
3:6
Step-by-step explanation:
8:24 and 24:72 reduce down to 1:3. 3:6 is 1:2.
Answer:
(a) ¬(p→¬q)
(b) ¬p→q
(c) ¬((p→q)→¬(q→p))
Step-by-step explanation
taking into account the truth table for the conditional connective:
<u>p | q | p→q </u>
T | T | T
T | F | F
F | T | T
F | F | T
(a) and (b) can be seen from truth tables:
for (a) <u>p∧q</u>:
<u>p | q | ¬q | p→¬q | ¬(p→¬q) | p∧q</u>
T | T | F | F | T | T
T | F | T | T | F | F
F | T | F | T | F | F
F | F | T | T | F | F
As they have the same truth table, they are equivalent.
In a similar manner, for (b) p∨q:
<u>p | q | ¬p | ¬p→q | p∨q</u>
T | T | F | T | T
T | F | F | T | T
F | T | T | T | T
F | F | T | F | F
again, the truth tables are the same.
For (c)p↔q, we have to remember that p ↔ q can be written as (p→q)∧(q→p). By replacing p with (p→q) and q with (q→p) in the answer for part (a) we can change the ∧ connector to an equivalent using ¬ and →. Doing this we get ¬((p→q)→¬(q→p))
