Answer: Explanatory variable = " number of times the owner has an advertisement played on the radio"
Response variable = "number of new customers who will visit a shop"
Step-by-step explanation:
- An explanatory variable is a kind of independent variable that can be manipulated by researcher in a study to check the response of the response variable.
In the given situation , the business owner is predicting the number of new customers who will visit a shop based on the number of times the owner has an advertisement played on the radio.
Here , He is controlling the advertisement played on the radio to see the response of customers.
Therefore ,
Explanatory variable = " number of times the owner has an advertisement played on the radio"
Response variable = "number of new customers who will visit a shop"
which means there is some integer
for which
.
Because
and
, there are integers
such that
and
, and
We have
, which means there are four possible choices of
:
1, 42
2, 21
3, 14
6, 7
which is to say there are also four corresponding choices for
:
9, 378
18, 189
27, 126
54, 63
whose sums are:
387
207
153
117
So the least possible value of
is 117.
8 wings / $10 = 0.8 wing per dollar
Hope it helps
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))
Answer:
f = 8
Step-by-step explanation:
9f = 8f + 8
9f - 8f
= f
So, f = 8
9(8) = 8(8) + 8
72 = 72
