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Oliga [24]
2 years ago
12

Find the mean absolute deviation of each data set. What do you notice about the means of the two data sets? About the mean absol

ute deviations of the two data sets?
Data Set 1: 47, 46, 51, 54, 57
Data Set 2: 15, 25, 51, 77, 87

The mean absolute deviation of data Set 1 is????
Mathematics
1 answer:
Anna007 [38]2 years ago
4 0
The mean of the data set is 51
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Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.
galina1969 [7]

Answer:

All potential roots are 3,3 and -\frac{5}{3}.

Step-by-step explanation:

Potential roots of the polynomial is all possible roots of f(x).

f(x)=3x^3-13x^2-3x+45

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

p=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45

q=\pm 1,\pm 3

All possible roots

\frac{p}{q}=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45,\pm \frac{1}{3},\pm \frac{5}{3}

Now we check each rational root and see which are possible roots for given function.

f(1)= 3\times 1^3-13\times 1^2-3\times 1+45\Rightarrow 32\neq 0

f(-1)= 3\times (-1)^3-13\times (-1)^2-3\times (-1)+45\Rightarrow \neq 32

f(-3)= 3\times (-3)^3-13\times (-3)^2-3\times (-3)+45\Rightarrow \neq -144

f(3)= 3\times (3)^3-13\times (3)^2-3\times (3)+45\Rightarrow =0\\\\ \therefore x=3\text{ Potential roots of function}

Similarly, we will check for all value of p/q and we get

f(-5/3)=0

Thus, All potential roots are 3,3 and -\frac{5}{3}.


5 0
2 years ago
Read 2 more answers
HELP PLEASE<br><br><br><br> ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST
fgiga [73]

Answer:

HI, IG, GH

Step-by-step explanation:

First, you need to find the missing angle; do this by subtracting 48 and 89 from 180. This means the missing angle is 43. The smallest side will be across from the smallest angle. So in order of least to greatest, the sides are HI, IG, GH.

6 0
2 years ago
F ∝ a If F = 48 when a = 3 find, a when F = 32
LenKa [72]

Answer:

2

Step-by-step explanation:

f = a

48 = 3

32 = x

48x= 98

<u>x=2</u>

<h2><u>Mark me as brainiest if i helped you </u></h2>
4 0
2 years ago
How can you analyze the numerator and/or the denominator in a rational expression to locate the x-intercepts?
andre [41]

Answer:

x=0 for f(x)=\frac{P(x)}{Q(x)}, with Q(x) \neq 0.

Step-by-step explanation:

To obtain x-intercepts, we need to give certain value, specifically x=0.

However, in case of a rational function, we must make sure that x=0 doesn't makes the denominator null, beacuse in that case the function is undefined.

Therefore, for x-intercepts we must say

x=0 for f(x)=\frac{P(x)}{Q(x)}, with Q(x) \neq 0.

7 0
2 years ago
Given a group of 17 people in a party, we consider the number of times a person shakes hand with someone else. Show that there i
aev [14]

Answer:

Step-by-step explanation:

Given that there is a group of 17 people in a party.  There takes place a number of hand shakes between them.

To show that there is always two people who shake hands with the same total number of people.

If possible let each person did a different number of handshake.

We know that since there are 17 people, there cannot be more than 16 hand shakes for any one in the group.

Hence if different hand shakes must be 0,1,2...16

Consider the last person having 16 hand shakes. He has shaken hand with each other person in the group thus making it clear that no one could have done 0 hand shakes.   Since we get a contradiction, our assumption was wrong. That is, there is always two people who shake hands with the same total number of people.

8 0
3 years ago
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