Answer:
0.2x² - 0.2x - 42 = 0
Step-by-step explanation:
Number of counters = x
Number of blue counters =7
Probability, p = required outcome / Total possible outcomes
P(Sam picks blue ) : = 7/x
P(jill picks blue) = 6/(x - 1)
P(Sam picks blue) * P(Jill picks blue) = 0.2
7/x * 6/(x-1) = 0.2
42/x(x - 1) = 0.2
42 / x² - x= 0.2
42 = 0.2(x² - x)
42 = 0.2x² - 0.2x
0.2x² - 0.2x - 42
Answer:
4 is the answer to the question
Step-by-step explanation:
-7 + 4 = - 3
Answer:
See below
Step-by-step explanation:
Let P(x) be a predicate over the variable x. Rules from logic tell us that the negation of ∀xP(x) is ∃x(¬P(x)). That is, the negation operator ¬ satisfies ¬(∀xP(x))≡∃x(¬P(x)). Similarly, ¬(∃xP(x))≡∀x(¬P(x)).
Apply these rules to each statement to obtain:
a) ∃ a fish x, x does not have gills.
b) ∃ a computer c, c does not have a CPU.
c) ∀ movie m, m is not over 6 hours long. ⇔ ∀ movie m, m is under 6 hours long.
d) ∀ band b, b has not won at least 10 Grammy awards. ⇔ ∀ band b, b has won less than 9 Grammy awards.