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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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Test the series for convergence or divergence (using ratio test)​
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Answer:

    \lim_{n \to \infty} U_n =0

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given series is an alternating series

∑(-1)^{n} \frac{n^{2} }{n^{3}+3 }

Let   U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }

By using Leibnitz's rule

   U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }

 U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}

Uₙ-Uₙ₋₁ <0

<u><em>Step(ii):-</em></u>

    \lim_{n \to \infty} U_n =  \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }

                       =  \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }

                    = =  \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }

                       =\frac{1}{infinite }

                     =0

    \lim_{n \to \infty} U_n =0

∴ Given series is converges

                       

                     

 

3 0
2 years ago
A ream of paper contains 500 sheets of paper.Norm has 373 sheets of paper left from a ream.Express the protion of a norm has a f
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373/500
Divide both by 5:
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3 years ago
Y² - 11y + 21.25 = 0
Elodia [21]

Answer:

y=17/2 y=5/2

Step-by-step explanation:

...................

7 0
2 years ago
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A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what i
Usimov [2.4K]

Answer:

The area is: 77x^2 + 105x + 28, option b.

Step-by-step explanation:

Rectangular area:

The area of a rectangular space is given bt the multiplication of its measures.

Area of the roof:

Dimensions of 10x + 8 and 8x + 6. So

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Area of the skylight:

Dimensions of x + 5 and 3x + 4. So

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What is the area of the remaining roof after the skylight is built?

Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So

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The area is: 77x^2 + 105x + 28, option b.

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2 years ago
What is the factored form of x2 − 4x − 5?
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I hope this helps you


(x-5)(x+1)
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3 years ago
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