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4 years ago

Helpppp!!! Can somebody give me 2 problems and solve them so I can do this assignment so I can pass , has to be before 12!!

Mathematics

1 answer:

tensa zangetsu [6.8K]4 years ago

6 0

3(2x+5)=3

3 • 2x] + [3 • 5] = 3

6x + 15 = 3

6x = –12

x = –2

2x – 2(3x – 2) = 2(x –2) + 20

2x – 6x + 4 = 2x – 4 + 20

– 4x + 4 = 2x + 16

–4x + 4 – 4 –2x = 2x + 16 – 4 -2x

–6x = 12

x = –2

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Step-by-step explanation:

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The thickness X of aluminum sheets is distributed according to the probability density function f(x) = 450 (x2 - x) if 6 < x

grandymaker [24]

Solution :

Given :

$f(x) = \left\{\begin{matrix}\frac{1}{450}(x^2-x) & \text{if } 6 < x < 12 \\ 0 & \text{otherwise}\end{matrix}\right.$

1. Cumulative distribution function

$P(X \leq x) = \int_{- \infty}^x f(x) \ dx$

$=\int_{- \infty}^6 f(x) dx + \int_{6}^x f(x) dx$

$=0+\int_6^x \frac{1}{450}(x^2-x) \ dx$

$=\frac{1}{450} \int_6^x (x^2-x) \ dx$

$=\frac{1}{450}\left[\frac{x^3}{3}-\frac{x^2}{2}\right]_6^x$

$=\frac{1}{450}\left[ \left( \frac{x^3}{3} - \frac{x^2}{2}\left) - \left( \frac{6^3}{3} - \frac{6^2}{2} \right) \right]$

$=\frac{1}{450}\left[\frac{x^3}{3} - \frac{x^2}{2} - 54 \right]$

2. Mean $E(x) = \int_{- \infty}^{\infty} \ x \ f(x) \ dx$

$=\int_{6}^{12}x . \left( \frac{1}{450} \ (x^2-x)\right)\ dx$

$=\frac{1}{450} \int_6^{12} \ (x^3 - x^2) \ dx$

$=\frac{1}{450} \left[\frac{x^4}{4} - \frac{x^3}{3} \right]_6^{12} \ dx$

$=\frac{1}{450} \left[ \left(\frac{(12)^4}{4} - \frac{(12)^3}{3} \right) - \left(\frac{(6)^4}{4} - \frac{(6)^3}{3} \right)$

$=\frac{1}{450} [4608 - 252]$

= 17.2857

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3 years ago

You give me answer=BRAINLIEST

mamaluj [8]

Answer:

A. 2

Step-by-step explanation:

Well let’s first graph the following,

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3 years ago

The original blueprint of a concrete patio has a scale of 2 inches = 3 feet.

lyudmila [28]

Answer:

Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)

Width of the new blueprint: 14.4 inches

Step-by-step explanation:

To solve this problem we can use rules of three to find each of the questions: blueprint's new scale and new width.

To find the new scale, we can find the real length of the patio first:

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Now we can use this value to create the new scale:

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So the new scale is 2 inches = 2.5 feet, or 4 inches = 5 feet

Now, to find the new width of the blueprint, we can do the following rule of three:

14 inches of length -> 16.8 inches of length

12 inches of width -> X inches of width

14/12 = 16.8/X

X = 12*16.8/14 = 14.4 inches

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4 years ago

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