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____ [38]
3 years ago
11

A window measures 33 inches. The scale factor to draw the dimensions of this window in a scale drawing is 1/3. What is the measu

re in the scale drawing?
Mathematics
1 answer:
Vsevolod [243]3 years ago
6 0

33 \: inches \times  \frac{1}{3} = 11 \: inches

The measure in the scale drawing would be 11 inches.

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Mathematical Statistics with Applications Homework Help
photoshop1234 [79]

7.37:

a. <em>W</em> follows a chi-squared distribution with 5 degrees of freedom. See theorem 7.2 from the same chapter, which says

\displaystyle \sum_{i=1}^n\left(\frac{Y_i-\mu}{\sigma}\right)^2

is chi-squared distributed with <em>n</em> d.f.. Here we have \mu=0 and \sigma=1.

b. <em>U</em> follows a chi-squared distribution with 4 degrees of freedom. See theorem 7.3:

\displaystyle \frac1{\sigma^2}\sum_{i=1}^n (Y_i-\overline Y)^2

is chi-squared distributed with <em>n</em> - 1 d.f..

c. <em>Y₆</em>² is chi-square distributed for the same reason as <em>W</em>, but with d.f. = 1. The sum of chi-squared distributed random variables is itself chi-squared distributed, with d.f. equal to the sum of the individual random variables' d.f.s. Then <em>U</em> + <em>Y₆</em>² is chi-squared distributed with 5 + 1 = 6 degrees of freedom.

7.38:

a. Notice that

\dfrac{\sqrt 5 Y_6}{\sqrt W} = \dfrac{Y_6}{\sqrt{\frac W5}}

and see definition 7.2 for the <em>t</em> distribution. Since <em>Y₆</em> is normally distributed with mean 0 and s.d. 1, it follows that this random variable is <em>t</em> distributed with 5 degrees of freedom.

b. Similar manipulation gives

\dfrac{2Y_6}{\sqrt U} = \dfrac{\sqrt4 Y_6}{\sqrt U} = \dfrac{Y_6}{\sqrt{\frac U4}}

so this r.v. is <em>t</em> distributed with 4 degrees of freedom.

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3 years ago
How do you know that 361 + 283 is greater than 500 without finding<br>the sum?​
GarryVolchara [31]

Answer:

Because you already see that the 3 plus 2 is 5 plus some numbers

Step-by-step explanation:

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3 years ago
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476 divide by 17 using partial quotient
Temka [501]

Answer:

Perform the following division using partial quotients: 476 ÷ 17:

To reduce the numerator, we will be multiplying the denominator by factors of 10, 5, 2, and 1

1 7| 4 7 6

| 3 4 0|20 <---- 20 x 17 = 340

| 1 3 6 <---- 476 - 340 = 136

1 7| 4 7 6

| 3 4 0| 20

| 1 3 6|

| 8 5 | 5 <---- 5 x 17 = 85

| 5 1 <---- 136 - 85 = 51

1 7 |4 7 6

3 4 0 20

1 3 6

8 5 5

5 1

3 4 2 <---- 2 x 17 = 34

1 7 <---- 51 - 34 = 17

1 7 |4 7 6

3 4 0 |20

1 3 6

8 5 |5

5 1

3 4 |2

1 7

1 7 |1 <---- 1 x 17 = 17

0 <---- 17 - 17 = 0

Our partial quotients add up as follows:

20 + 5 + 2 + 1 = 28

Step-by-step explanation:

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How do I solve (a+b)(3a-b)(2a+7b)<br> Please help
mash [69]

Answer:

Simplifying

-5 + -1(3a + b) + (2a + -7b) = 0

-5 + (3a * -1 + b * -1) + (2a + -7b) = 0

-5 + (-3a + -1b) + (2a + -7b) = 0

Remove parenthesis around (2a + -7b)

-5 + -3a + -1b + 2a + -7b = 0

Reorder the terms:

-5 + -3a + 2a + -1b + -7b = 0

Combine like terms: -3a + 2a = -1a

-5 + -1a + -1b + -7b = 0

Combine like terms: -1b + -7b = -8b

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Solving

-5 + -1a + -8b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + -1a + 5 + -8b = 0 + 5

Reorder the terms:

-5 + 5 + -1a + -8b = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1a + -8b = 0 + 5

-1a + -8b = 0 + 5

Combine like terms: 0 + 5 = 5

-1a + -8b = 5

Add '8b' to each side of the equation.

-1a + -8b + 8b = 5 + 8b

Combine like terms: -8b + 8b = 0

-1a + 0 = 5 + 8b

-1a = 5 + 8b

Divide each side by '-1'.

a = -5 + -8b

Simplifying

a = -5 + -8b

Step-by-step explanation:

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3 years ago
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