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Usimov [2.4K]
3 years ago
8

What is the median of the following numbers? 6, 4, 1, 9, 3, 8, 3, 5, 10

Mathematics
2 answers:
svetlana [45]3 years ago
6 0

Answer:

5

Step-by-step explanation:

5 is in the middle when you put them in numerical order

yawa3891 [41]3 years ago
6 0

Answer:

5

Step-by-step explanation:

When you order the values: 1, 3, 3, 4, 5, 6, 8, 9, 10

5 would be the number in the middle.

I hope this helps!

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14. Find the slope of a line parallel to 3y - 6x = 9. (Lesson 3-4)
DanielleElmas [232]

\bf 3y-6x=9\implies 3y=6x+9\implies y=\cfrac{6x+9}{3}\implies y = \cfrac{6x}{3}+\cfrac{9}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{2}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

a parallel line to that one above, will have the same exact slope, since parallel lines have the same slope.

4 0
3 years ago
The ratio of the ages of two children is 2:3. If the younger child is 4 years old, how old is the other child?
vladimir1956 [14]
So if the ratio is 2:3, then the younger child would represent the 2. so it would be 2:3 is 4:x. Thereby, the answer would be 6, because of proportions. To check, simplify 4:6, and you would get 2:3.
4 0
3 years ago
Read 2 more answers
2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
Ira Lisetskai [31]

Solution: The factor form of the given polynomial is f(x)=(x+4)(x+3)(x+2)(x+1).

Explanation:

To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.

The value of the function f(x) is 0 for x=-1, therefore (x+1) is a factor of given function.

Use synthetic method to divide the given polynomial for by (x+1). Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.

The bottom line shows the coefficients of the quotient polynomial.

So f(x)=(x+1)(x^3+9x^2+26x+24)

Similarly (x+2) is the factor of given polynomial because for x=-2 the value of parenthesis polynomial is 0.

Use synthetic method to divide the parenthesis polynomial for by (x+2). it is shown in figure 2.

So

f(x)=(x+1)(x+2)(x^2+7x+12)\\f(x)=(x+1)(x+2)(x^2+3x+4x+12)\\f(x)=(x+1)(x+2)(x(x+3)+4(x+3))\\f(x)=(x+1)(x+2)(x+3)(x+4)

Hence the factor form of the given polynomial is f(x)=(x+4)(x+3)(x+2)(x+1). The graph of the given function is given in figure 3.


4 0
3 years ago
Which word best describes the degree of overlap between the two data sets?
gogolik [260]

Answer:

You are correct.

Step-by-step explanation:

3 0
3 years ago
find the height of a rectangular prism with a volume of 125 cubic centimeters, a length of 5 centimeters, and a width of 5 centi
Kryger [21]
Volume of a rectangular prism = length x width x height
125 = 5 x 5 x height
height = 125/25 = 5 centimeters

This special type of rectangular prism is called a cube.
8 0
3 years ago
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