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jeka94
4 years ago
6

Determine whether the quantitative variable is discrete or continuous weight of gravel in pile is the variable of gravel in a pi

le
Mathematics
1 answer:
MAVERICK [17]4 years ago
8 0
I will define or explain about discrete and continuous data. Discrete data is the data that can count or data that have finite values or buckets while continuous is the data that cannot count or the data that have infinite number of steps, which form  continuum. In your example, we can include that gravel in pile as a continuous data because we cannot count it just like the sand. The answer is continuous.
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alex41 [277]

Answer:

2 feet would be the answer i believe

Step-by-step explanation:

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3 years ago
Which expression has the sum of twenty six twentieths? (4 points) Selected:a. two fifths plus four tenthsThis answer is incorrec
patriot [66]

Answer: b. four fifths plus two fourths

Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.

Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.

4/5  <em>20/5 = 4    4×4 = 16   so 4/5 is equivalent to 16/20</em>

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3 years ago
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3 years ago
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Select all statements below which are true for all invertible n×n matrices A and B
Mekhanik [1.2K]

Answer:

a. False

b. False

c. True

d. True

e. False

f. False

Step-by-step explanation:

Hi,

We have certain properties for matrices,<em> (where A and B are nxn matrices and I is the identity matrix) </em>:

{(A^{-1})}^{-1} = A

(AB)^{-1} = B^{-1}A^{-1}

(A')^{-1} = (A^{-1})'

(A^{n})^{-1} = (A^{-1})^{n} = A^{-n}

AA^{-1} = A^{-1}A = I

AI = IA = A

Using these properties, we verify the provided statements:

A. False.

None of the properties help verify this statement. We ca use an example for counter:

Let  A =\left[\begin{array}{cc}1&2\\2&0\\\end{array}\right] and  B = \left[\begin{array}{cc}5&1\\3&2\end{array}\right] , we calculate the L.H.S:

A+B = \left[\begin{array}{cc}1+5&2+1\\2+3&0+2\end{array}\right]\\= \left[\begin{array}{cc}6&3\\5&2\end{array}\right]

The square of (A+B):

(A + B)^{2} = \left[\begin{array}{cc}36&9\\25&4\end{array}\right]

Lets calculate the R.H.S:

A^{2} =\left[\begin{array}{cc}1&4\\4&0\\\end{array}\right]\\B^{2} = \left[\begin{array}{cc}25&1\\9&4\end{array}\right]\\2AB = \left[\begin{array}{cc} (1 \times 5) + (2 \times 3)  &(1 \times 1) + (2 \times 2)\\(2 \times 5) + (0 \times 3)& (2 \times 1) + (0 \times 2)\end{array}\right]\\= \left[\begin{array}{cc} 11 &5\\10& 2\end{array}\right]

A^{2} + B^{2} + 2AB = \left[\begin{array}{ccc}1+25+11&4+1+5 \\4+9+10&0+4+2\\\end{array}\right] \\= \left[\begin{array}{ccc}37&10 \\23&6\\\end{array}\right]

This proves that: L.H.S ≠ R.H.S

Hence, A is false.

B. False

This can only hold when the eigenvalues for A are real.

trace (A^{2}) > 0, det (A^{2}) > 0 : \\(A + A^{-1}) = ( I + A^{2} ) A^ {- 1} = ( A ( I + A ^{2} )^ {-1})^ {-1}

C. True

This is a simplification of the distribution property of matrices.

D. True

The property that inverse is possible for any "n" value of the matrix.

E. False

Similar to part A, we can show that this property is invalid for any nxn matrix. Let:

A = \left[\begin{array}{cc}1&2\\0&1\end{array}\right] \\A^{-1} = \left[\begin{array}{cc}1&-2\\0&1\end{array}\right]

L.H.S:

A + A^{-1} = \left[\begin{array}{cc}1+1&2-2\\0+0&1+1\end{array}\right]  = \left[\begin{array}{cc}2&0\\0&2\end{array}\right]

(A + A^{-1})^{9} = \left[\begin{array}{cc}512&0\\0&512\end{array}\right]

R.H.S:

A^{9} = \left[\begin{array}{cc}1&512\\0&1\end{array}\right] \\A^{-9}= \left[\begin{array}{cc}1&-0.001953125\\0&1\end{array}\right]\\\\\\A^{9} + A^{-9} = \left[\begin{array}{cc}2&512\\0&2\end{array}\right] \\

Since, L.H.S ≠ R.H.S, the statement is false.

F. False

This is a basic matrix rule, that commutative property does not apply on matrices.

3 0
3 years ago
Please help me with this geometry question :((
Mumz [18]

Step-by-step explanation:

the proportion that contains BC and FI :

BC / FG = proportion

8/4= proportion

2= proportion

BC/FI=8/3

6 0
4 years ago
Read 2 more answers
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