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Neporo4naja [7]
3 years ago
9

24% of 289 estimated using a rate per 100

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

Answer:

The answer would be 40!

Step-by-step explanation:

Estimating ~ rounding

I would round 24% (20%), and 289 (300).

using the formula:

is/of \\ = %/100,

I'm looking for "IS"

I multiply 20 (just 20, no percent) by 200 = 4000.

Then I divide by 100 to get the "IS".

That's how I got my answer!

Hope this helps!

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(1 point) If p(x) and (x) are arbitrary polynomials of degree at most 2, then the mapping =p(-1)q(-1) + p(070) +p(3)q(3) defines
Ainat [17]

If p(x) and q(x) are arbitrary polynomials of degree at most 2 then

||p||||q|| = 26(\sqrt{640}) and angle between p(x) and q(x) is 0.233.

Given that

<p,q> = p(-1)q(-1) + p(0) q(0) + p(3)q(3)

and p(x) = 2x²+ 6 , q(x)= 4x²-4x

then the values of p and q at x = -1,0,3 are given as;

x = -1,

p(-1) = 2(-1)² + 6 = 8   ,    q(-1) = 4(-1)² - 4(-1) = 8

x = 0,

p(0) = 2(0)² + 6 = 6   ,    q(0) = 4(0)² - 4(0) = 0

x = 3,

p(3) = 2(3)² + 6 = 24  ,  q(3) = 4(3)²- 4(3) = 24.

<p,q> = p(-1)q(-1) + p(0)q(0) + p(3)q(3)

         = (8)(8) + (6)(0) + 24(24)

         = 64 + 0 + 576

<p,q> = 640

Now we have to find ||p|| ||q||, for this we'll find ||p|| and ||q||

||p|| = \sqrt{ < p,p > }

     = \sqrt{8(8) + 6(6) + 24(24)}

     = \sqrt{676}

||p|| = 26

and

||q|| = \sqrt{ < q,q > }

      =\sqrt{8(8) + 0(0) + 24(24)}

||q||  =\sqrt{640}

∴||p||||q|| = 26(\sqrt{640\\)

Now we have to find angle between p(x) and q(x),

∴ α = cos⁻¹\frac{ < p,q > }{||p||||q||}

      = cos ⁻¹ \frac{640}{26(\sqrt{640}) }

      = cos ⁻¹ \frac{4\sqrt{10} }{13}

  α  = 13.34°

In radian

α = 0.233.

To know more about Inner product here

brainly.com/question/14185022

#SPJ4

5 0
1 year ago
Find the sum of the first 5 terms of the infinite series: 8 + 18 + 28 +
Anna007 [38]

Answer:

8 + 18+ 28+ 38+ 48= 140

Step-by-step explanation:

3 0
3 years ago
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you are considering 2 jobs. one job pays $250 per week, plus 4.5% commission on all sales. The second job pays $1,800 per month
Hoochie [10]
The correct answer is A. Not only does $250 a week equal $1000 a month but the commission is also higher.

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1,000,000 times .045 = $45000 
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3 years ago
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defon

Answer:

This shows that the mean increases by 2.95

Step-by-step explanation:

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Mean = 2 +5+6+8/4

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Mean = 5.25

If number 20 is added, the data becomes 2, 5, 6, 8, 20

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Taking the difference in the mean:

Difference = 8.2 - 5.25

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This shows that the mean increases by 2.95

<em>NB: The data used was assumed since we are not given any data in question</em>

<em></em>

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