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3 years ago

Help please...........1. y = 3 x y = -8x2. y = - 7x y =-4x - 12

Mathematics

2 answers:

geniusboy [140]3 years ago

7 0

1. -8x = 3x

-11x = 0

x= 0

y= 3(0)= 0

(0, 0)

2. -7x = -4x - 12

-3x = -12

x = 4

y = -7(4)= -28

(4, -28)

Anna11 [10]3 years ago

4 0

(1)

both equations express y in term of x, hence equate the right sides

- 8x = 3x ( subtract 3x from both sides )

- 11x = 0 ( divide both sides by - 11 )

x = 0

substitute x = 0 into y = 3x → y = 0

solution is : (x, y ) → (0, 0)

(2)

both equations express y in terms of x, hence equate the right sides

- 4x - 12 = - 7x ( add 7x to both sides )

3x - 12 = 0 ( add 12 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

substitute x = 4 into y = - 7x → y = - 28

solution is : (x, y ) = (4, - 28 )

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Step-by-step explanation:

Question 1:

x = no. of mg of porphyrin per deciliter of blood.

μ = 40

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(a) We need to compute P(x<60). We need to find the z-score using the normal distribution formula:

z = (x - μ)/σ

P(x<60) = P((x - μ)/σ < (60 - 40)/14)

= P(z < 20/14)

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P(x>16) = 0.9564

(c) P(16<x<60) = P((16-40)/14) < x < (60-40)/14)

= P(-1.71 < z < 1.43)

This probability can be calculated as: P(z<1.43) - P(z<-1.71)

P(16<x<60) = 0.9236 - 0.0436

P(16<x<60) = 0.88

(d) P(x>60) = 1 - P(x<60)

we have calculated P(x<60) in part (a) so,

P(x>60) = 1 - 0.9236

P (x>60) = 0.0764

Question 2:

μ = 4.5 mm

σ = 1.0 mm

In this question, we will again compute the z-scores and then find the probability from the normal distribution table.

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= P(z<-1.5)

P(x<3) = 0.0668

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= 1 - P(z<(7-4.5)/1)

= 1 - P(z<2.5)

= 1 - 0.9938

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(c) P(3<x<7) = P(x<7) - P(x<3)

we have computed both of these probabilities in parts (a) and (b) so,

P(3<x<7) = 0.9938 - 0.0668

P(3<x<7) = 0.927

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