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3 years ago

PLS HELP! I WILL MARK BRAINLIEST

Mathematics

1 answer:

drek231 [11]3 years ago

3 0

Answer:

Yes, if each window is 127.68.

Step-by-step explanation:

25.2 x 30.4 =766.08/6=127.68

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What is the value of n in the equation 1/2(n-4)-3=3-(2n+3) ?

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Answer:

Step-by-step explanation:

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3 years ago

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Cinema A can seat 2100 people. It can seat 1477 people more than cinema B find the total number of people that both cinemas can

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Answer:

5677

Step-by-step explanation:

2100 +1477 = 3577

2100+3577= 5677

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3 years ago

A quality-control engineer samples 100 items manufactured by a certain process, and finds that 15 of them are defective. True or

goldenfox [79]

Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Step-by-step explanation:

Given that:

Number of samples = 100

Number of defective samples = 15

Proportion =number defective samples / total samples

P = 15 / 100 = 0.15

Hence, the probability that an item produces is defective is 0.15.

However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

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2 years ago

The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

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2 years ago

A cube has a length of 8 in. What is the width and the height of the cube?

Triss [41]

Answer:

8 in

Step-by-step explanation:

In a cube, the length, width, and height are all the same.

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