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Kay [80]
2 years ago
8

I need help with the work of the math

Mathematics
1 answer:
8_murik_8 [283]2 years ago
7 0

Answer:

13) (-2,-3)  14) (7,-4)   15) (-8,7)

Step-by-step explanation:

13) y=8x+13

   -4x-5y=23

use substitution

-4x-5(8x+13)=23

distribute -5 in the parenthesis

-4x-40x-65=23

-44x-65=23

add 65 on both sides

-44x=88

divide both sides by -44

x=-2

for y...

y=8(-2)+13

y=-16+13

y=-3

answer is (-2,-3)

14) -3x-y=-17

y=-4x+24

use substitution

-3x-1(-4x+24)=-17

distribute the -2 in the parenthesis

-3x+4x-24=-17

x-24=-17

add 24 on both sides

x=7

for y...

y=-4(7)+24

y=-28+24

y=-4

answer is (7,-4)

15)5x+4y=-12

   y=-2x-9

use substitution

5x+4(-2x-9)=-12

distribute 4 in the parenthesis

5x-8x-36=-12

-3x-36=-12

add 36 on both sides

-3x=24

divide both sides by -3

x=-8

for y...

y=-2(-8)-9

y=16-9

y=7

answer is (-8,7)

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Answer:

a) 4.9 % of all parts is defective or 0.049 of the total parts.

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Step-by-step explanation:

N is the total number of parts from supplier S1, S2 and S3.

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a) if Nd1 is the number of defective parts from supplier S1, Nd2 is the number of defective parts from supplier S2 and Nd3 is the number of defective parts from supplier S3, the the total defective parts Nd is:

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Nd2 = 0.03*N2 = 0.03*0.2*N = 0.006*N,

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see at https://en.wikipedia.org/wiki/Bayes%27_theorem

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