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Lady_Fox [76]
3 years ago
15

Solve by factorising x^2+5x-6>0

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

x > -6

x > 1

Step-by-step explanation:

Step 1: Write out inequality

x² + 5x - 6 > 0

Step 2: Factor

(x + 6)(x - 1) > 0

Step 3: Find roots

x + 6 > 0

x > -6

x - 1 > 0

x > 1

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A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 42 states. What is the probability that sh
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Answer:

P (She selects the route of four specific capitals) = \frac{1}{2686320}=(3.7226)10^{-7}

D. No,it is not practical to list all of the different possible routes because the number of possible permutations is very large.

Step-by-step explanation:

Let's start assuming that each route is equally likely to be chosen.

Assuming this, we can calculate P(A) where the event A is ''She selects the route of four specific capitals'' doing the following :

P(A) = Favourable cases in which the route of four specific capitals is selected / Total number of ways in 4 of 42 states

The favourable cases in which the route of four specific capitals is selected is equal to 1 .

For the denominator we need the permutation number of 4 in 42.

The permutation number is defined as :

nPr=\frac{n!}{(n-r)!}

42P4=\frac{42!}{(42-4)!}=\frac{42!}{38!}=2686320

The probability of event A is : \frac{1}{2686320}=(3.7226)10^{-7}

Finally for the other question : The option D is the correct because the number of possible permutations is 2686320 and is very large to be listed.

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