Solve the following systems of linear equations using any algebraic method. If possible, check your solution.

Mathematics

1 answer:

julia-pushkina [17]3 years ago

5 0

-8x+18y=-12
24x-18y=18
16x=6
X=3/8
Y=3-12)/6
y=-3/2

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Motorola used the normal distribution to determine the probability of defects and the number

vovangra [49]

Answer:

a.P<x<9.85 orx>10.15)=0.3174, Total defects=317.4

b.p=0.0026,total defects=2.6

c.Less of the items produced will be classified as defects.

Step-by-step explanation:

a.The standard score,z, is esentially x reduced by process mean then divided my process standard deviation.

$\mu=10,\sigma=0.15\\Therefore:-\\z=\frac{x-\mu}{\sigma}=\frac{9.85-10}{0.15}\approx-1.0\\z=\frac{x-\mu}{\sigma}=\frac{10.15-10}{0.15}\approx+1.0\\P(x10.15)=P(Z+1.0)\\=2P(Z$

Total defects=Production*Probability

=0.3174*1000

$=317.4$

b. $\mu=10,\sigma=0.05$

therefore:-

$z=\frac{x-\mu}{\sigma}=\frac{9.85-10}{0.05}\approx-3.0\\z=\frac{x-\mu}{\sigma}=\frac{10.15-10}{0.05}\approx+3.0\\\\=P(x10.15)=P(Z+3.0)\\=2P(Z$

Defects=Probability*Production

=0.0026*1000

=2.6

c.Reducing process variation results in a significant reduction in the number of unit defects.

3 0

3 years ago

52= -5x -3 can you solve for x

Roman55 [17]

Answer:

x = -11

Step-by-step explanation:

First, add three to both sides on the equation. Then, your equation becomes 55= -5x. Finally, divide both sides by -5 to get -11 = x. So, x equals -11. Hope this helps!

4 0

3 years ago

Read 2 more answers

Can u please show me the work to 67,473 divided by 32

puteri [66]

This is the answer to 67,473 divided by 32. I hoped this helped. I used colors to hopefully help you more.