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maksim [4K]
4 years ago
7

17. What are the minimum, first quartile, median, third quartile, and maximum of the data set? 40, 7, 2, 35, 12, 23, 18, 28

Mathematics
1 answer:
Rzqust [24]4 years ago
6 0
First step!  Arrange the numerals {<span>40, 7, 2, 35, 12, 23, 18, 28} in ascending order:  {2, 7, 12, 18, 23, 28, 35, 40}

Count these numerals:  there are 8 (an even number)

To find the median of this set of numerals, take the middle 2 values {18, 23} and average them:  median = (18+23)/2 = 41/2

Now, on the left of 41/2, we have the subset {2, 7 , 12, 18}.  The median of this subset is found in the same way as was 41/2 (above):
(7+12)/2 = 19/2 (First quartile)

The median of the right subset {</span>23, 28, 35, 40} is (28+35)/2, or 63/2.  This is the 3rd quartile.

The max. is 40 (this is the largest numeral given).
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Answer:

(7,2)45 units sqrd

Step-by-step explanation:

45 units sqrd because its a 5x9

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3 years ago
A biologist studying the relationship between tilapia and catfish in a pond finds that the ratio of tilapia to catfish is 6:20.
Neko [114]

Answer: 9 tilapia

Step-by-step explanation:

The ratio of 6:20 for tilapia to catfish means that for every six tilapia, there are 20 catfish in the pond.

If there are 30 catfish, use direct proportion to find out the number of tilapia:

6     :      20

x     :       30

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5 0
3 years ago
Simplify by distributing<br> 7(36 – 2c + 4)
Nostrana [21]

Step-by-step explanation:

7(36-2c+4)

=252 - 14c + 28

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7 0
3 years ago
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
3 years ago
Read 2 more answers
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