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2 years ago

What’s the median? 8.74, 3.44, 6.09, 5.0

2 answers:

7 0

Median means middle. You must find the middle of this set of data. To do this you must first order the data from least to greatest:

3.44, 5.0, 6.09, 8.74

Now on each "level" remove the largest and the smallest number until you get to the middle number(s)

3.44, 5.0, 6.09, 8.74

5.0, 6.09

Since there isn't exactly one number in the middle you must take the mean (average) of the two numbers left. To do this you must add the remaining numbers, 5.0 and 6.09, together then divide by 2

5.0 + 6.09 = 11.09

11.09 ÷ 2 = 5.545

The mean of this data set is 5.545

Hope this helped!

~Just a girl in love with Shawn Mendes

DochEvi [55]2 years ago

3 0

Answer:

5.545

Step-by-step explanation:

place them in order

3.44, 5.0, 6.09, 8.74

since there are four numbers you add the middle two together and divide in half.

5.545

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2 years ago

Fine the equation of the line through (o, -3) perpendicular to y =4x+4

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Answer:

The equation of the line is $y = -\frac{x}{4} - 3$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept(the value of y when x = 0).

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Line perpendicular to y = 4x + 4.

This line has slope 4, so our line will have slope:

$4m = -1$

$m = -\frac{1}{4}$

$y = -\frac{x}{4} + b$

Through (0, -3)

This means that $b = -3$

$y = -\frac{x}{4} - 3$

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2 years ago

Find the value of x for which the function y = x5-x³ + x² - 1 has a local minimum.

melisa1 [442]

The given function presents a local minimum in the coordinates (0,-1).

<h3>Factoring</h3>

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten from the factoring.

$x^5-x^3+x^2-1=\left(x+1\right)^2\left(x-1\right)\left(x^2-x+1\right)=0$ . Then, you have 3 equations.

From the Zero Factor Principle, you can write

Equation 1

(x+1)²=0

x+1=0

x= -1

Equation 2

x-1=0

x=1

Equation 3

x²-x+1=0

$x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\ \\ x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{3}i}{2\cdot \:1}$

From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).