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EastWind [94]
3 years ago
14

Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer

in descending powers of x.
(x^5 - 8x^3 + 24x^2 + 12x + 40) divided by (x + 4)

Mathematics
2 answers:
MAXImum [283]3 years ago
8 0
-4 1. -8. 24. 12. 40 -4. 48. -288. 1104 1 -12. 72. -276. R1144 ANSWER: X^3-12x^2+72x-276+1144/x+4
Sholpan [36]3 years ago
7 0

Answer:

Step-by-step explanation:

Divide polynomial using synthetic division

(x^5-8x^3+24x^2+12x+40)\div (x+4)

First we write polynomial with all term.

(x^5+0x^4-8x^3+24x^2+12x+40)\div (x+4)

Using Synthetic Division:

First write -4 and coefficient of polynomial in order.

  -4  |  1      0       -8        24        12         40  |

                -4       16       -32        32      -172

          1     -4        8         -8        44     -136

Quotient: x^4-4x^3+8x^2-8x+44

Remainder: -136

Please find the attachment for grid entry.

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Umberto buys a game for $7.89 and some batteries for $5.49. He pays with a $20 bill. Which is the best estimate of change he sho
Anika [276]

The change is the remaining money that is needed to take from the seller so a change of Umberto will be $6.62.

<h3>What is subtraction?</h3>

To subtract in mathematics is to take something away from a group or a number of objects.

The group's total number of items decreases or becomes lower when we subtract from it.

Given that,

Umberto buys a game for $7.89 and some batteries for $5.49.

Total money of buying = 7.89 + 5.49 = $13.38

Now he gives a $20 bill.

Remaining (change) = 20 - 13.38

⇒ $6.62

Hence "The change of Umberto will be $6.62".

For more about subtraction,

brainly.com/question/1927340

#SPJ1

6 0
1 year ago
2. When a large truckload of mangoes arrives at a packing plant, a random sample of 150 is selected and examined for
kirza4 [7]

a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).

b) The margin of error is: 2.45%.

c) The 90% confidence is the level of confidence that the true population percentage is in the interval.

d) The needed sample size is: 271.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The variables are listed as follows:

  • \pi is the sample proportion, which is also the estimate of the parameter.
  • z is the critical value.
  • n is the sample size.

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of \frac{1+0.90}{2} = 0.95, so the critical value is z = 1.645.

The sample size and the estimate are given as follows:

n = 150, \pi = \frac{15}{150} = 0.1

The margin of error is of:

M = z\sqrt{\frac{0.1(0.9)}{150}} = 0.0245 = 2.45\%

The interval is given by the estimate plus/minus the margin of error, hence:

  • The lower bound is: 10 - 2.45 = 7.55%.
  • The upper bound is: 10 + 2.45 = 12.45%.

For a margin of error of 3% = 0.03, the needed sample size is obtained as follows:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.1(0.9)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.1(0.9)}

\sqrt{n} = \frac{1.645\sqrt{0.1(0.9)}}{0.03}

(\sqrt{n}})^2 = \left(\frac{1.645\sqrt{0.1(0.9)}}{0.03}\right)^2

n = 271 (rounded up).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

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Nooo please don’t put B. It’s A,C, and D
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AlekseyPX
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Answer:

It’s 3/2 mph

Step-by-step explanation:

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