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lukranit [14]
3 years ago
13

According to a survey of​ workers,6/50 of them walk to​ work,1/50 ​bike, ​10/50 carpool, and 33/50 drive alone. What percent of

workers walk or bike to​ work? From the​ survey, nothing​% of workers walk or bike to work.
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

Answer:

14%

Step-by-step explanation:

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Prove that if {x1x2.......xk}isany
Radda [10]

Answer:

See the proof below.

Step-by-step explanation:

What we need to proof is this: "Assuming X a vector space over a scalar field C. Let X= {x1,x2,....,xn} a set of vectors in X, where n\geq 2. If the set X is linearly dependent if and only if at least one of the vectors in X can be written as a linear combination of the other vectors"

Proof

Since we have a if and only if w need to proof the statement on the two possible ways.

If X is linearly dependent, then a vector is a linear combination

We suppose the set X= (x_1, x_2,....,x_n) is linearly dependent, so then by definition we have scalars c_1,c_2,....,c_n in C such that:

c_1 x_1 +c_2 x_2 +.....+c_n x_n =0

And not all the scalars c_1,c_2,....,c_n are equal to 0.

Since at least one constant is non zero we can assume for example that c_1 \neq 0, and we have this:

c_1 v_1 = -c_2 v_2 -c_3 v_3 -.... -c_n v_n

We can divide by c1 since we assume that c_1 \neq 0 and we have this:

v_1= -\frac{c_2}{c_1} v_2 -\frac{c_3}{c_1} v_3 - .....- \frac{c_n}{c_1} v_n

And as we can see the vector v_1 can be written a a linear combination of the remaining vectors v_2,v_3,...,v_n. We select v1 but we can select any vector and we get the same result.

If a vector is a linear combination, then X is linearly dependent

We assume on this case that X is a linear combination of the remaining vectors, as on the last part we can assume that we select v_1 and we have this:

v_1 = c_2 v_2 + c_3 v_3 +...+c_n v_n

For scalars defined c_2,c_3,...,c_n in C. So then we have this:

v_1 -c_2 v_2 -c_3 v_3 - ....-c_n v_n =0

So then we can conclude that the set X is linearly dependent.

And that complet the proof for this case.

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Mrrafil [7]
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QUICKK EXPERTS/ACE/GENIUSES
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The answer is A because in a triangle, the angles need to add up to 180 degrees. In the triangle, the missing angle would be 65 because 180 - (75 + 40) = 65. Now you know the missing angle in the triangle is 65. But you’re trying to find the other angle that would make this pair supplementary (180 degrees). You would do 180 - 65 to get your answer to the problem of 115 or A.
4 0
3 years ago
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Which strategies can be used to find the product of 629 x 100? Check all that apply.
dolphi86 [110]

Answer:

The strategies (2), (3) and (5) can be applied.

Step-by-step explanation:

In this case we need to compute the product of 629 × 100.

The product can be found in the following ways:

  • multiplying (600 + 20 + 9) x 100

       (600 + 20 + 9) \times 100=(600\times 100)+(20\times 100)+(9\times 100)\\=60000+2000+900\\=62900

  • putting 2 zeros on the end of 629

        629\times 100=62900

  • multiplying (6,000 + 200 +90) x 10

       (6000 + 200 + 90) \times 10=(6000\times 10)+(200\times 10)+(90\times 10)\\=60000+2000+900\\=62900

Thus, the strategies (2), (3) and (5) can be applied.

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