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3 years ago

Given a conditional statement p → q, which statement is logically equivalent?

2 answers:

7 0

(p -> q) <=> ( (~p) v q )

~p -> ~q <=> p v (~q) //not equivalent
~q -> ~p <=> (~(~q) v ~p) <=> ((~p) v q) //equivalent
q -> p <=> q v (~p) //not equivalent
p -> ~q <=> p v q //not equivalent

answer: ~q -> ~p logically equivalent to p -> q

svlad2 [7]3 years ago

3 0

Hello,
p=>q is equivalent to ~q → ~p

p-------q-------p=>q--~q ----- ~p----~q → ~p
0-------0-------1-------1 ------- 1------- 1
0-------1-------1-------0------- 1------- 1
1-------0-------0-------1------- 0-------0
1-------1-------1-------0------- 0-------1

Column 3= column 6 ==>equivalent

Answer B

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9.3.2 Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values of d

kotegsom [21]

Answer:

$\frac{}{d}$ = −0.26

$s_{d}$ = 0.4219

Step-by-step explanation:

Given:

Sample1: 98.1 98.8 97.3 97.5 97.9

Sample2: 98.7 99.4 97.7 97.1 98.0

Sample 1 Sample 2 Difference d

98.1 98.7 -0.6

98.8 99.4 -0.6

97.3 97.7 -0.4

97.5 97.1 0.4

97.9 98.0 -0.1

To find:

Find the values of $\frac{}{d}$ and $s_{d}$

d overbar ( $\frac{}{d}$ ) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5

$\frac{}{d}$ = ∑d/n

= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5

= −1.3 / 5

$\frac{}{d}$ = −0.26

s Subscript d is the sample standard deviation of the difference which is calculated as following:

$s_{d}$ = √∑( $d_{i}$ - $\frac{}{d}$ )²/ n-1