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AVprozaik [17]
3 years ago
5

Find 2 consecutive even integers such that twice the larger integer is four more than half of the smaller integer

Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

0 and 2

Step-by-step explanation:

Let the two consecutive integers be 2x and 2x+2

We are given that twice the larger integer is four more than half of the smaller integer

2(2x+2)=\frac{1}{2}(2x)+4

4x+4=x+4

x=0

So, Two consecutive integers are 2(0)=0 and 2(0)+2=2

Hence the two consecutive integers are 0 and 2

You might be interested in
2 x<br>— = -----<br>7 x + 10<br><br>x = ???​
valentina_108 [34]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Maybe you want to find x such that ...

  2/7 = x/(x +10)

  2(x +10) = 7x . . . . . . multiply by 7(x+10)

  20 = 5x . . . . . . . . . . subtract 2x, simplify

  4 = x . . . . . . . . . . . . divide by 5

_____

<em>Additional comment</em>

You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.

6 0
2 years ago
High beam headlights must not be used within
faust18 [17]
What’s The Question Again ?
7 0
3 years ago
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $10,
Andreyy89

Answer:

1) the planning value for the population standard deviation is 10,000

2)

a) Margin of error E = 500, n = 1536.64 ≈ 1537

b) Margin of error E = 200, n = 9604

c) Margin of error E = 100, n = 38416

3)

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

Step-by-step explanation:

Given the data in the question;

1) Planning Value for the population standard deviation will be;

⇒ ( 50,000 - 10,000 ) / 4

= 40,000 / 4

σ = 10,000

Hence, the planning value for the population standard deviation is 10,000

2) how large a sample should be taken if the desired margin of error is;

we know that, n = [ (z_{\alpha /2 × σ ) / E ]²

given that confidence level = 95%, so z_{\alpha /2  = 1.96

Now,

a) Margin of error E = 500

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 500 ]²

n = [ 19600 / 500 ]²

n = 1536.64 ≈ 1537

b) Margin of error E = 200

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 200 ]²

n = [ 19600 / 200 ]²

n = 9604

c)  Margin of error E = 100

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 100 ]²

n = [ 19600 / 100 ]²

n = 38416

3) Would you recommend trying to obtain the $100 margin of error?

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

7 0
2 years ago
Which is the same as 10^-3<br>A. 0.0001<br>B.0.001<br>C.3<br>D.1000<br>​
pishuonlain [190]

Answer:

<h2>B. 0.001</h2>

Step-by-step explanation:

<h3 /><h3>Your answer is B. 0.001.</h3>

Thank you ☺️☺️

5 0
2 years ago
Read 2 more answers
Verify that the function <img src="https://tex.z-dn.net/?f=g%28x%29%3D2x%5E3-3x%2B1" id="TexFormula1" title="g(x)=2x^3-3x+1" alt
ch4aika [34]

Lets check if the three conditions hold.

<u>1 : Continuity of g on the interval [0,2]</u>

First, g(x) is a continuous function on R, as the sum of a cubic function wich is continuous on R, and a linear polynomial of the form ax + b which is also continuous on R. Finally g is also continuous on the interval [0,2]

<u>2 : Differentiable on the same interval</u>

Since the cubic function and the linear polynomial one are differentiable on R, g also is differentiable and particularly on the interval [0,2]

Also we have g'(x) = 2*3*x² - 3 = 6x² - 3

<u>3 : Do we have g(0) = g(2) ?</u>

Lets compute g(0) = 2*0^3 - 3*0 + 1 = 1

And g(2) = 2*2^3 - 3*2 + 1 = 2 * 8 - 6 + 1 = 16 - 6 + 1 = 11

Since g(0) ≠ g(2), Rolle's theorem is not applicable. Thus unfortunately, we can not conclude that there exist c ∈ (0,2) such that f'(c) = 0

5 0
2 years ago
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