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Kaylis [27]
3 years ago
7

What is y=2x divided by 4?

Mathematics
1 answer:
QveST [7]3 years ago
7 0
4
_   = y
2x

Let's solve for y.<span><span>4<span>2x</span></span>=y</span>Step 1: Multiply both sides by x.<span>2=<span>xy</span></span>Step 2: Flip the equation.<span><span>xy</span>=2</span>Step 3: Divide both sides by x.<span><span><span>xy</span>x</span>=<span>2x</span></span><span>y=<span>2x</span></span>Answer:<span>y=<span>2<span>x</span></span></span>
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An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and
Ahat [919]

Answer:

(0.4062, 0.5098)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

356 dies were examined by an inspection probe and 163 of these passed the probe. This means that n = 365 and \pi = \frac{163}{356} = 0.458

Assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975[tex], so [tex]z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.458 - 1.96\sqrt{\frac{0.458*0.542}{356}} = 0.4062

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.458 + 1.96\sqrt{\frac{0.458*0.542}{356}} = 0.5098

The correct answer is

(0.4062, 0.5098)

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3 years ago
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How do you round 65.0798 to the nearest tenth
Dmitry_Shevchenko [17]
65.0798 rounded to the nearest tenth is 65.1, if the number after the number you are rounding is 5 or over you will round up. If the number after it is under 5 then it will stay the same.
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Which is the correct label of the parallel lines
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The symbol to show that there are parallel lines is normally just a set of vertical lines. Although if these are being drawn on a page and need to be labelled as part of a shape or diagram, sometimes arrows will be used to show they are parallel - either one arrow in the middle of the line, or two arrows to show they are parallel but in different directions.
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Please sleep me helpppp
defon

Answer:

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Step-by-step explanation:

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3 years ago
What two rational expressions sum to 2x+3/x^2-5x+4
Anni [7]

Answer:

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

Step-by-step explanation:

Given the rational expression: \frac{2x + 3}{x^2 - 5x + 4}, to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

x^2 - 5x + 4

x^2 - 4x - x + 4

(x^2 - 4x) - (x + 4)

x(x - 4) - 1(x - 4)

(x- 1)(x - 4)

Thus, we now have: \frac{2x + 3}{(x- 1)(x - 4)}

Step 2: Apply the concept of Partial Fraction

Let,

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

Multiply both sides by (x - 1)(x - 4)

\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) = (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)

2x + 3 = A(x - 4) + B(x - 1)

Step 3:

Substituting x = 4 in 2x + 3 = A(x - 4) + B(x - 1)

2(4) + 3 = A(4 - 4) + B(4 - 1)

8 + 3 = A(0) + B(3)

11 = 3B

\frac{11}{3} = B

B = \frac{11}{3}

Substituting x = 1 in 2x + 3 = A(x - 4) + B(x - 1)

2(1) + 3 = A(1 - 4) + B(1 - 1)

2 + 3 = A(-3) + B(0)

5 = -3A

\frac{5}{-3} = \frac{-3A}{-3}

A = -\frac{5}{3}

Step 4: Plug in the values of A and B into the original equation in step 2

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

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3 years ago
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