Our tendency to judge the likelihood of an event on the basis of how readily we can remember instances of its occurrence is called:
a) framing effect.
b) confirmation bias.
c) representativeness heuristic.
d) availability heuristic.

D - Availability heuristic.

Explanation:

As the exercese briefly explains, availability heuristic is the tendency  to judge the likelihood of an event on the basis of how readily we can remember instances of its occurrence. This is like a mental shortcut in which, for example, when asked about a person we will tend to weigh our judgments towards the most recent piece of information we gathered or, when evaluating a decision, the immediate examples that comes to mind. All in all, this explains how we tend to immediatly think of several examples when we think about something in particular.

x = 7

step-by-step explanation:

equating the expression for area to the given area

2x² - 7x - 4 = 45 ( subtract 45 from both sides )

2x² - 7x - 49 = 0 ← in standard form

to factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 49 = - 98 and sum = - 7

the factors are - 14 and + 7

use these factors to split the middle term

2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )

2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)

(x - 7)(2x + 7) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -

thus the positive value for x is x = 7

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