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3 years ago

Question 2 (2 points) Which point is the intersection of the graphs of this system of equations? 6x + 2y = -4 3x +2y = 8

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer:

(x, y) =(-4,10)

Step-by-step explanation:

6x+2y=-4

3x+2y=8 /*(-1)

6x+2y=-4 (1)

-3x-2y=-8 (2)

6x+2x=-4

(1)+(2) 3x=-12

6x+2x=-4

x=-12/3

6x+2y=-4

x=-4

6*(-4)+2y=-4

x=-4

-24+2y=-4

x=-4

2y=-4+24

x=-4

2y=20 y=20/2 y=10

(x,y)=(-4,10)

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Answer:

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P( X < 410) = 0.1151

Step-by-step explanation:

Step(i):-

Given mean of the population = 500

Given standard deviation of the Population = 75

Let 'X' be the variable in normal distribution

$Z = \frac{x-mean}{S.D}$

Given X = $410

$Z = \frac{410-500}{75} = - 1.2$

Step(ii):-

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

= 0.5 - A( -1.2)

= 0.5 - A(1.2)

= 0.5 - 0.3849 ( ∵from normal table)

= 0.1151

Final answer:-

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

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