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2 years ago

Solve the system by substitution. y = 3x y = -4x – 49

Mathematics

1 answer:

Alex787 [66]2 years ago

6 0

Answer:

Step-by-step explanation:

Substitute 3x into y=-4x-49

y=−4x−49

3x=−4x−49

3x+4x=−4x−49+4x(Add 4x to both sides)

7x/7=−49/7

(Divide both sides by 7)

x=−7

Step: Substitute−7forxiny=3x:

y=3x

y=(3)(−7)

y=−21(Simplify both sides of the equation)

Answer:

x=−7 and y=−21

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Consider the provided information.

The probability of a conservative candidate winning is p=0.6.

The probability of one progressive candidate will win is: 1-0.6=0.4

Part (a) What is the probability that the conservative party wins all three seats?

According to binomial distribution: $b(x; n, p) =^nC_xp^x(1- p)^{n-x}$

$P(x=3) =^3C_3(0.6)^3 (0.4)^{3-3}$

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Hence, the probability that conservative party wins all 3 seats is 0.216

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