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3 years ago

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If we divide the polynomial p by the factor x − c and we obtain the equation p(x) = (x − c)q(x) + r(x), then we say that x − c i

s the divisor, q(x) is the

1 answer:

Schach [20]3 years ago

6 0

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Joanna went school supply shopping. She spent $33.33 on notebooks and pencils. Notebooks cost

vodomira [7]

Answer:

Joanna bought 21 items that come out to a total of $33.33. She bought 9 notebooks and 12 pencils.

Step-by-step explanation:

Notebooks (N) = $1.85 Pencils (P) = $1.39

9N+12P= $33.33

9*1.85=16.65

12*1.39=16.68

16.65+16.68=33.33

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3 years ago

What is the common ratio of the sequence?

Murljashka [212]

6/-2 = -18/6 = -3

The appropriate choice is ...
A) -3

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3 years ago

One canned orange juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in orde

Cerrena [4.2K]

Answer:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

Using the concentration of orange juice we have:

$0.25 X + 0.05 Y = 20*0.08$ (1)

And for the water we have:

$0.75 X + 0.95Y = 20*0.92$ (2)

If we solve for X from equation (1) we got:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

7 0

3 years ago

A sport analyst wants to determine the mean salary of a Baseball player for 2015. He believes an estimate of this average salary

djyliett [7]

Answer:

<em>The large sample size 'n' = 199.6569≅ 200</em>

Step-by-step explanation:

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

Given Standard deviation of salary for all baseball players for 2015 is about $5,478,384.55

<em>Standard deviation of of salary for all baseball players for 2015 </em>

<em> (S.D ) σ = $5,478,384.55</em>

Given estimate of this average salary for all baseball players for 2015

= $497,000

<em>Given Margin of error of error is = $497,000 </em>

<em>Level of significance ∝ = 80% </em>

<em>The critical value Z₀.₂₀ = 1.282 </em>

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

<em>Margin of error of error is determined by</em>

<em> </em> $M.E = \frac{Z_{0.20} S.D}{\sqrt{n} }$ <em></em>

<em> </em> $497,000 = \frac{1.282 X 5,478,384.55}{\sqrt{n} }$ <em></em>

Cross multiplication , we get

$\sqrt{n} = \frac{1.282 X 5,478,384.55}{497,000 }$

On calculation , we get

√n = 14.13

<em>Squaring on both sides, we get</em>

n = 199.6569

<u><em>Conclusion</em></u><em>:-</em>

<em>The large sample size 'n' = 199.6569≅ 200</em>

<em> </em>

<em></em>

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3 years ago

During migration a butterfly can travel 30 miles in 1 hour. Which graph best represents y the number of miles a butterfly can tr

son4ous [18]

Answer:

y = 30m and x = 1 h

Step-by-step explanation:

mrsdoughty1 deserves the credit

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3 years ago