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3 years ago

Solve for y: 2x-6y=12

Mathematics

2 answers:

borishaifa [10]3 years ago

8 0

Y=12-2x
_
6. not sure if this is the answer

Juliette [100K]3 years ago

3 0

Follow the steps in the picture!

Hope this helps!

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A manufacturing process produces integrated circuit chips. Over the long run the fraction of bad chips produced by the process i

Vitek1552 [10]

Answer:

0.0244 (2.44%)

Step-by-step explanation:

defining the event T= the chips passes the tests , then

P(T)= probability that the chip is not defective * probability that it passes the test given that is not defective + probability that the chip is defective * probability that it passes the test given that is defective = 0.80 * 1 + 0.20 * 0.10 = 0.82

for conditional probability we can use the theorem of Bayes. If we define the event D=the chip was defective , then

P(D/T)=P(D∩T)/P(T) = 0.20 * 0.10/0.82= 0.0244 (2.44%)

where

P(D∩T)=probability that the chip is defective and passes the test

P(D/T)=probability that the chip is defective given that it passes the test

5 0

3 years ago

How much greater is the value of the 6 in 4,786.53 than in 3,821.69?

zepelin [54]

Answer:

The 6 in 4,786.53, is 6 times greater than the 6 in 3,821.69.

Step-by-step explanation:

The value of 6 in 4,786.53, is in the ones. 6

The value of 6 in 3,821.69, is in the tenths. 0.6

6/0.6 = 10

The 6 in 4,786.53, is 6 times greater than the 6 in 3,821.69.

Hope that helps!

4 0

2 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

PLEASEEE ANSWERR

Vinvika [58]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Station City has a total assessed valuation of $200,000,000. The budget of the city is $5,000,000. What is the tax rate in perce

kaheart [24]

Divide 200k by 5k, assuming that the budget is equal to the tax rate, then 2.5%

6 0

3 years ago