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Allushta [10]
2 years ago
10

The accompanying specific gravity values describe various wood types used in construction. 0.34 0.35 0.36 0.36 0.37 0.38 0.40 0.

40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.42 0.43 0.44 0.45 0.46 0.46 0.47 0.48 0.48 0.49 0.51 0.54 0.54 0.55 0.58 0.61 0.66 0.66 0.67 0.68 0.76
Construct a stem-and-leaf display using repeated stems.
Comment on any interesting features of the display.
a. The display is symmetric.
b. The display is not symmetric and appears to be positively skewed.
c. There is a small amount of variation in the data.
d. The stem-and-leaf display shows that 0.45 is a good representative value for the data.
e. There is a reasonably large amount of variation in the data.
f. The data value 0.33 is a possible outlier.
g. The stem-and-leaf display shows that 0.55 is a good representative value for the data.
h. The data value 0.76 is a possible outlier.
Mathematics
1 answer:
Delicious77 [7]2 years ago
4 0

Answer:

h. The data value 0.76 is a possible outlier.

b. The display is not symmetric and appears to be positively skewed.

d. The stem-and-leaf display shows that 0.45 is a good representative value for the data.

Step-by-step explanation:

STEM | LEAF

3 ___ | 4

3 ___ | 5, 6, 6, 7, 8

4 ___ | 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 4

4 ___ | 5, 6, 6, 7, 8, 8, 9

5 ___ | 1, 4, 4

5 ___ | 5, 8

6 ___ | 1

6 ___ | 6, 6, 7, 8

7 ___

7 ___ | 6

The data point which seems a bit further out from the rest of the values : 0.76

0.45 is the median value and gives a reasonable representative value of the data.

Majority of the data accumulates on the left and this makes distribution positively skewed.

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Find the area of the surface the part of the plane y=x^2 y^2 cylinder x^2 z^2=16
Anestetic [448]

The area of the surface is 144.708

The equation of the given surface is,

z=g(x,y)=xy

Solving the partial derivatives,

∂g∂x=y,∂g∂y=x

Substituting to the formula

S=∬√1+( ∂g∂x)2+(∂g∂y)2dA

Thus,

S=∬√1+(y)2+(x)2dAS=∬√1+x2+y2dA

The region in the XY-plane is defined by the intervals  0≤θ≤2π,0≤r≤4

Converting the integral into polar coordinates,

S=∫2π0∫40√1+r2rdrdθ

Integrating with respect to r

S=∫2π0[13(1+r2)32]40dθ

S=∫2π0(17√173−13)dθ

Integrating with respect to θ

S=(17√173−13)[θ]2π0

S≈144.708

For more information about areas, visit

brainly.com/question/22972014

#SPJ4

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5
Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

(a-b)^2=a^2-2ab+b^2

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

6 0
2 years ago
You have returned from a trip to Europe and still have $100 euro. How much in U.S. dollars should you receive if the exchange ra
Zina [86]
The answer to the question would be B which is 169.91 dollars
8 0
3 years ago
Read 2 more answers
today only, a sofa is being sold at a 36% discount. The sale price is $560. what was the price yesterday?
pashok25 [27]

Answer:

Step-by-step explanation:

Let yesterday's price  be x

Discount percentage = 36%

Sale price = $ 560

(100-36)% of x = 560

64 % *x = 560

\frac{64}{100}*x=560\\\\x=560*\frac{100}{64}\\\\x=875

Yesterday's price = $ 875

8 0
3 years ago
List the next four multiples of fraction 7/12
Sidana [21]
<h2>Hello!</h2>

The answer is:

\frac{14}{12}=\frac{7}{12}*2\\\\\\\frac{21}{12}=\frac{7}{12}*3\\\\\\\\\frac{28}{12}=\frac{7}{12}*4\\\\\\\\\frac{35}{12}=\frac{7}{12}*5

<h2>Why?</h2>

A multiple of a number is the repeated sum of itself, for example:

Multiple of the number 1 are: 1, 2, 3, 4, 5 and so...

Multiple of the number 3 are: 3, 6, 9, 12, 15 and so...

From the example we have:

Multiple of the number 3 are: Itself, (3+3), (3+3+3), (3+3+3+3), (3+3+3+3+3) and so...

So,

Multiple of \frac{7}{12} are:

\frac{14}{12}=\frac{7}{12}*2=\frac{7}{12}+\frac{7}{12}\\\\\\\frac{21}{12}=\frac{7}{12}*3=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{28}{12}=\frac{7}{12}*4=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{35}{12}=\frac{7}{12}*5=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}

Have a nice day!

6 0
3 years ago
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