contestada

The diagram rerpesents responses to a survey that include statements p and q . Which statement is true?

The diagram rerpesents responses to a survey that include statements p and q Which statement is true class=

Respuesta :

frika

Answer:

C. The number of responces [tex]p\vee q[/tex] is also 46

Step-by-step explanation:

Note that:

  • [tex]p\wedge q[/tex] means both p and q must hold;
  • [tex]p\vee q[/tex] means either p or q must hold.

From the diagram,

  • the number of responses [tex]p\wedge q[/tex] is 46;
  • the number of responces [tex]p\vee q[/tex] is also 46;
  • the number of responces [tex]p\setminus q[/tex] is 0;
  • the number of responces which are neuther p nor q is 20.

So, you can state that the correct answer is C

lublana

Answer:

c.The number of responses for which [tex]p\wedge q[/tex] is 46.

Step-by-step explanation:

We are given that a diagram represents responses to a survey that includes statements p and q.

We have to find which statement is true in the given option.

From given diagram

[tex]p\wedge q=46[/tex]

[tex]p/q=0[/tex]

[tex](p\vee q)'=20[/tex]

Option A is false because [tex]p\wedge q=46[/tex].

[tex]p-q=p-p\wedge q=p-46[/tex]

[tex]0=p-46[/tex]

[tex]p=46[/tex]

[tex]p\vee q=p+q-p\wedge q[/tex]

[tex]p\vee q=46+46-46=46[/tex]

Because q=46

Hence, option c is true .

Answer:c.The number of responses for which [tex]p\wedge q[/tex] is 46.

Otras preguntas