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nikklg [1K]
2 years ago
10

Alek is using synthetic division to divide x3+4x2−43x−10 by x−5 . Which answer is correct? Synthetic division. First line. 5 in

the box, followed by the numbers 1, negative 4, 43 and negative 10. Second line. Starting under negative 4 in the top row, the numbers are 5, 5 and 240. Third line. Starting under 1 in the top row, the numbers are 1, 1, 48 and 230. Synthetic division. First line. negative 5 in the box, followed by the numbers 1, 4, negative 43 and negative 10. Second line. Starting under 4 in the top row, the numbers are negative 5, 5 and 190. Third line. Starting under 1 in the top row, the numbers are 1, negative 1, negative 38 and 180. Synthetic division. First line. 5 in the box, followed by the numbers 1, negative 4, negative 43 and negative 10. Second line. Starting under negative 4 in the top row, the numbers are 5, 5 and negative 190. Third line. Starting under 1 in the top row, the numbers are 1, 1, negative 38 and negative 200. Synthetic division. First line. 5 in the box, followed by the numbers 1, 4, negative 43 and negative 10. Second line. Starting under 4 in the top row, the numbers are 5, 45 and 10. Third line. Starting under 1 in the top row, the numbers are 1, 9, 2 and 0.
Mathematics
1 answer:
kari74 [83]2 years ago
5 0

Answer:


last set of numbers will be<em><u>  1 9 2 0</u></em>

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Inessa [10]

Answer:

Original sum of money = $2246.51

Step-by-step explanation:

Interest = $96.60

Interest is compounded 6 times in a year ; n = 6

time = 1 year ; Rate of interest (r) = 4.2%

Interest = Future Value - Principal Value ...........(1)

\text{Future Value = }Principal\cdot (1+\frac{r}{100\times n})^{n\cdot t}\\\\\text{Substituting this value in equation (1) , We get }\\\\Interest=Principal\cdot (1+\frac{r}{100\times n})^{n\cdot t}-Principal\\\\\implies 96.60=Principal[\cdot (1+\frac{4.2}{100\times 6})^{6\cdot 1}-1]\\\\\implies Principal=\$2246.51

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4 0
2 years ago
1.17 A study of the effects of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it tak
bearhunter [10]

Answer:

a.

\bar X_F=43.7

\bar X_{NF}=30.32

b.

S_F=16.9278

S_{NF}=7.12783

c.

Attached file

d.

Apparently the practice of smoking reduces the ability to fall asleep, demanding much more time in individuals who smoke, than in those who do not smoke.

Step-by-step explanation:

a, b) For the group of smoking individuals, the average time it takes to fall asleep and the standard deviation of those times is:

\bar X_F={\frac{1}{n} \sum_{i=1}^n x_i = 43.7

S_F=\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2}=16.9278

a, b) For the group of non-smoking individuals, the average time it takes to fall asleep and the standard deviation of those times is:

\bar X_{NF}={\frac{1}{n} \sum_{i=1}^n x_i = 30.32

S_{NF}=\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2}=7.12783

c. In the attached file you can see the diagram of points for the times, in the smoking and non-smoking groups.

d. Apparently the practice of smoking reduces the ability to fall asleep, demanding much more time in individuals who smoke, than in those who do not smoke.

Download pdf
6 0
2 years ago
Which value of x is in the solution set of 2x-3&gt;11-5x
Ierofanga [76]

7x>14,x=2። is right answer i think

3 0
2 years ago
Read 3 more answers
A certain organization recommends the use of passwords with the following​ format: vowel commavowel, consonant comma consonant c
zimovet [89]

The password format is = inpray93

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Passwords are not case sensitive which means upper case and lower case letters are same.

So, the number of passwords can be =

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This means all the letters are different.

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4 0
2 years ago
The perimeter of a rectangle is 13cm and its width is 11/4. find its length.
enyata [817]
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13 = 2l + \frac{2}{1} * \frac{11}{4}

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13 -\frac{22}{4} = 2l

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\frac{15}{2}} = 2l

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7.5 ÷ 2 = l

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The answer is 3.75 or 3 \frac{3}{4}


6 0
2 years ago
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