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3 years ago

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SOLVE: 12x - 4y = 48 (For y in terms of x)

1 answer:

Anna71 [15]3 years ago

7 0

First, we subtract 12x from both sides. We then get -4y=-12x+48. We then divide this by -4 on both sides to get the y by itself. We then get that the equation is y=3x-12.

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2x-1/6 = 2(x-3)/3 + 1?

IceJOKER [234]

$2x-\frac{1}{6}=\frac{2(x-3)}{3}+1\ \ \ \ |multiply\ both\ sides\ by\ 6\\\\6(2x)-6(\frac{1}{6})=6\left(\frac{2x-6}{3}\right)+6(1)\\\\12x-1=2(2x-6)+6\\\\12x-1=2(2x)+2(-6)+6\\\\12x-1=4x-12+6\\\\12x-1=4x-6\ \ \ \ |add\ 1\ to\ both\ sides\\\\12x=4x-5\ \ \ \ \ |subtract\ 4x\ from\ both\ sides\\\\8x=-5\ \ \ \ |divide\ both\ sides\ by\ 8\\\\\boxed{\boxed{x=-\frac{5}{8}}}$

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3 years ago

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Anna11 [10]

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3 years ago

What is the expression in simplest radical form?<br><img src="https://tex.z-dn.net/?f=%285x%5E%7B4%7D%20y%5E%7B3%7D%29%5E%7B%5Cf

Vlad [161]

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3 years ago

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Cell phone users can obtain a clear signal when they are within a 42−mile radius of cell tower A. The radius that cell tower B c

Basile [38]

Answer:

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3 years ago

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Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.

goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

$\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75$

(b)

Compute the variance of X as follows:

$\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083$

(c)

Compute the value of P(X < 3.7) as follows:

$P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898$

Thus, the value of P(X < 3.7) is 0.4898.

5 0

3 years ago