Evaluate the mean of each data set mentally.<br> 61, 71, 81, 91, 101

WILL GIVE BRAINLIEST Which of the following describes the quotient of 3 and -30?

solong [7]

Answer:

if i am correct the answer is A

Step-by-step explanation:

8 0

2 years ago

Consider the differential equation x2y′′ − 9xy′ + 24y = 0; x4, x6, (0, [infinity]). Verify that the given functions form a funda

pantera1 [17]

Answer:

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

Step-by-step explanation:

Given equation is

$x^2y'' - 9xy+24y=0$

This Euler Cauchy type differential equation.

So, we can let

$y=x^m$

Differentiate with respect to x

$y'= mx^{m-1}$

Again differentiate with respect to x

$y''= m(m-1)x^{m-2}$

Putting the value of y, y' and y'' in the differential equation

$x^2m(m-1) x^{m-2} - 9 x m x^{m-1}+24x^m=0$

$\Rightarrow m(m-1)x^m-9mx^m+24x^m=0$

$\Rightarrow m^2-m-9m+24=0$

⇒m²-10m +24=0

⇒m²-6m -4m+24=0

⇒m(m-6)-4(m-6)=0

⇒(m-6)(m-4)=0

⇒m = 6,4

Therefore the auxiliary equation has two distinct and unequal root.

The general solution of this equation is

$y_1(x)=x^4$

and

$y_2(x)=x^6$

First we compute the Wronskian

$W(x)= \left|\begin{array}{cc}y_1(x)&y_2(x)\\y'_1(x)&y'_2(x)\end{array}\right|$

$= \left|\begin{array}{cc}x^4&x^6\\4x^3&6x^5\end{array}\right|$

=x⁴×6x⁵- x⁶×4x³

=6x⁹-4x⁹

=2x⁹

≠0

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

5 0

3 years ago

An advantage of a weighted moving average is that recent actual results can be given more importance than what occurred a while

grigory [225]

An advantage of a weighted moving average (WMA) is that recent actual results can be given more importance than what occurred a while ago is a "true" statement because "Weighted moving averages could be adjusted to emphasize more recent data in forecasting."

<h3>What is moving average?</h3>

Moving averages are popular tools for measuring momentum among active traders. The formula used to calculate the average is the primary distinction between a simple moving average, a weighted moving average, and an exponential moving average.

Some key features regarding the weighted moving average are-

The SMA calculates the average price above a specific time period, whereas the WMA emphasizes current data.
The exponential moving average (EMA) is also weighted to reflect the most recent prices, however the rate of decrease among one price and its previous price is not constant but exponential.
Weighted moving averages give more weight to recent data points as they're more relevant than data points from the distant past.
The total of the weightings should equal 1 (or 100%).
The weightings are distributed equally in the case of the simple moving average.

To know more about moving average, here

brainly.com/question/15188858

#SPJ4

4 0

1 year ago

-21+2(3-15)-(-3)(+7)+(-3)(-8)

Alexxx [7]

Answer:

$- 21 + 2(3 - 15) - ( - 3)( + 7) + ( - 3)( - 8) \\ = - 21 - 24 + 21 + 24 \\ = 0$

8 0

3 years ago

NEED ANSWER/STEPS A.S.A.P <br><br> |x| > 5

ZanzabumX [31]

Answer:

x < -5 or x > 5

Step-by-step explanation:

x < -5 or x > 5

or can be written {x : x < -5 U x > 5} depending on which notation you use

7 0

2 years ago

Evaluate the mean of each data set mentally. 61, 71, 81, 91, 101