Answer:
2 Independent Random Variables The random variables X and Y are said to be independent if for any two sets of real numbers A and B, (2.4) P(X 2 A;Y 2 B) = P(X 2 A)P(Y 2 B): Loosely speaking, X and Y are independent if knowing the value of one of the random variables
Step-by-step explanation:
Find all solutions to below and explain why it must be constant coefficient.
The solution to the differential equation will be expressed as [tex]y_c=Ce^{2x}[/tex]
Given the differential equation;
[tex]\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0[/tex]
Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation
Let [tex]D=\frac{dy}{dx}[/tex]
The differential equation becomes;
[tex]D^2y-2Dy=0\\(D^2-2D)y=0[/tex]
Factorizing the auxiliary equation m² - 2m = 0
m² = 2m
m = 2
Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as [tex]y_c=C_1e^{m_1x} + C_1e^{m_2x} \\[/tex]
Given that m =2, the solution will be expressed as [tex]y_c=Ce^{2x}[/tex]
b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.
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In an auditorium,10,200 people were seated in 12 rows. Find number of people in each row. ____________
Answer:
850 people
Step-by-step explanation:
10,200 people in 12 rows
÷ 12 on both sides:
[tex]\frac{10200}{12}[/tex] people in [tex]\frac{12}{12}[/tex] rows
[tex]850[/tex] people in [tex]1[/tex] row.
(Express these ratios in their simplest form)
Shesho and Merto share a pizza in the ratios 3: 4 respectively. What fraction of the pizza did each get?
BRAINLIEST**
Answer:
3:4 itself.
3:4 itself.
Step-by-step explanation:
3:4 itself.
name the parts mentioned in the figure below
please answer this
Answer:
O - point
CD- chord
AB- diametre
I dont know PO sorry
Answer:
O is the center.
AB is the diameter.
OP is a radius.
CD is a tangent.
By the way the combination of letters is the two points that it relates too.
Step-by-step explanation:
hope this helps. . .<3
What is the solution to
4
+ 5 = 2 ?
X-3
Answer:
what you men
Step-by-step explanation:
Answer:
This may not be right, but I tried! I believe its 6.
Step-by-step explanation:
what’s the correct answer i will give brainlist
The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7
Number of cards from previous card = 7
Number of cards per cardstock purchased = 10
Let :
Number of cardstocks purchased = x
Total Number cards made = y
The total number of cards made, y can be expressed thus :
(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards
This means :
y = 10x + 7
Therefore, the required equation is y = 10x + 7
A water tank has volume of 300 m3. If the length and width of the tank is 5 m and 300 cm, find the height of the tank.
Answer:
volume=300m3
length=5m
width=300cm=300/100=3m
To find: height of tank .
so,
volume=l×b×h
300=5×3×h
300/15=h
finally,h=20m
Find the 20 th term of the given sequence 2, 5, 8, 11,..
Answer:
14,17, 20
Step-by-step explanation:
Kindly see the picture I have solved it as required
BRAINLIEST!!!!!!!!!!!!!
What is the value of tan A?
○ 6/8
○ 8/6
○ 6/10
Give the slope of each of the following lines Name a point on each line
y+2=2/3 (x-4)
Answer:
See answer below
Step-by-step explanation:
y + 2 = 2/3(x - 4)
y + 2 = 2/3x - 8/3
y = 2/3x - 8/3 - 2
y = 2/3x - 2 2/3 - 2
y = 2/3x - 4 2/3 or y = 2/3x - 14/3
Slope = 2/3
The value of the slope of the line is 2/3.
Used the concept of the equation that states,
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Given that;
The equation of the line,
y + 2 = 2/3 (x - 4)
Now comparing the given equation of the line with the equation of a line in point-slope form,
y + 2 = 2/3 (x - 4)
y - (- 2) = 2/3 (x - 4)
Therefore, the slope of the line is 2/3
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Explain why the order in an ordered pair is important
Step-by-step explanation:
An ordered pair is the x-coordinate and the y-coordinate of a point. The order is important because, without a set order, there would be no way to know which was the x and which was the y.
The x-coordinate always comes first, before the y-coordinate.
(x, y)
Step-by-step explanation:
The order in an ordered pair is important because it indicates the location of the given point in a coordinate plane.
In an ordered pair, (x, y):
The first number, (x ) represents the first coordinate. It provides the location of the point relative to the horizontal axis of the coordinate plane.The second number, (y ) represents the second coordinate. It provides the location of the point relative to the vertical axis of the coordinate plane.We cannot switch the values of the first and second coordinates; otherwise, the ordered pair will provide a different location on the coordinate plane.
For instance, if we're given the point, (3, 2), this means that x = 3, and y = 2. This is not the same as (2, 3), as the coordinates imply that x = 2, and y = 3.
Please see the attached screenshot where it shows how these two points have varying locations.
Let f(x)= – 2x-1, h(x) = - X+2.
Find (f o h)(-1).
(f o h)(-1) = ...
= f(h(-1))
= f(-1 + 2)
= -2(-1 + 2) - 1
= 2 - 4 - 1
= -2 - 1
= -3
Function or non functional? Pls help ty :3
Which is the verbal expression for 11 - 2/n?
Answer:
(a.)
Step-by-step explanation:
(we talked abt it in the comment haah)
please help :,) it’s due tomorrow and i’m so confused
Answer:
I can't see the file or I can't open the file
Step-by-step explanation:
3. The graph of F(x), shown below,
resembles the graph of G(X)=x2, but
it has been changed somewhat.
Which of the following could be the
equation of F(x)?
1
16
FOX0 = ?
G00= x
5
Answer Choices:
F(X)=-X²+2
F(x)= 3x2 +2
F(x)=2x2 - 2
F(x) = (2x + 2)2
The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.
What is a graph?A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
here, we have,
Given:
G(x) = x²,
As you can see from the graph, the vertex of the parabola is (0, 3),
Write the equation of a parabola as shown below,
y = a(x - 0)² + 3
y = ax² + 3
Here a is the slope of the parabola,
slope = 4 / 2 (from the graph),
slope = 2
Thus, the equation will be,
y = 2x² + 3 or F(x) = 2x² + 3
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helppppppppppppppppppppp!
Answer:
1:3
Step-by-step explanation:
Since your scaling down you divide the smaller number by the larger number
7/21=1/3
=1:3
Hope this helps :)
write an equation of the line with a slope of -8 and a y-intercept of 2
Answer:
y = -8x + 2
Step-by-step explanation:
A slope-intercept form equation is y = mx + b where m is the slope and b is the y-intercept. Using this, we can plug in -8 and 2 to create our equation.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I need help please I don't not understand this is getting on my nerves.
I will give you all my point
Answer:
24,748
Step-by-step explanation:
538
x 46
3228
21520
24748
Which number line best shows how to solve −8 − (−6)?
PLEASE ANSWER!!!
(look a picture for more details)
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]-8-(-6)[/tex]
[tex]=-8-(-6)[/tex]
[tex]=-8+6[/tex]
[tex]=-2[/tex]
The answer is B.
Here's a graph photo!
Hopefully, this helps you!!
[tex]Sokka[/tex]
Write the prime factorization of 38.
if(4x + 20) , (3x+10)^ and (2x+30)^ are angles of a triangle then the value
A) 13°
B) 13 1 3 ^
C) 13 2 3 ^
D) 14°
Using angle sum property
[tex]\\ \sf\longmapsto 4x+20+3x+10+2x+30=180[/tex]
[tex]\\ \sf\longmapsto 9x+60=180[/tex]
[tex]\\ \sf\longmapsto 9x=120[/tex]
[tex]\\ \sf\longmapsto x=13.2[/tex]
an oven has a maximum temperature of 220°c.what will it be in 2 days time
Answer:
Well I assume 220ºC.
Step-by-step explanation:
That is the MAXIMUM temperature of the oven
PLEASE HELP!! REWARDING LOTS OF POINTS!
Step-by-step explanation:
check the attached file
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost?
[1 ft = 0.305m]
$9.20
$2.12
$2.81
$30.16
Answer:
$2.81
Step-by-step explanation:
8 feet = 2.44 meters
2.44 · $1.15 = $2.81
I hope that this helps!!!
Answer:
c. 2.81
Step-by-step explanation:
What is 919,827 rounded to the nearest hundred
Answer:
919,800
Step-by-step explanation:
To round up, the tens place would have to be either 5 or higher. Since the number in the tens place is 2, which is under 5, it will stay the same.
A rectangular tank is 54cm long, 29cm wide and 65cm deep.
Answer:
so what do i do
Step-by-step explanation:????????????
PLEASE HELP.
Directions: find x so that L || M. state the converse used
Answer:
8. x=6; supplementary consecutive interior angles
10. x = 4; no applicable theorem
Step-by-step explanation:
8.The marked angles are "consecutive interior" angles. When their sum is 180°, the lines l and m will be parallel.
(7x -15) +(24x +9) = 180
31x = 186
x = 6
Consecutive interior angles being supplementary will make the lines parallel.
__
10.The sum of the remote interior angles of a triangle is equal to the exterior angle:
28x = 48 +16x
12x = 48
x = 4
The above relation holds regardless of whether line l is parallel to line m. There is no applicable theorem or converse.
_____
Additional comment
Adding the marking shown in the attachment would make the converse of the alternate interior angles theorem applicable to problem 10.
I need help on this question please factorise into brackets then solve for x
Answer:
x = 7
Step-by-step explanation:
The difference between the length and width is 3 , then length = x - 3
area (A) of rectangle = length × width
A = x(x - 3) = 28 , distribute parenthesis
x² - 3x = 28 ( subtract 28 from both sides )
x² - 3x - 28 = 0 ← in standard form
(x - 7)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 4 = 0 ⇒ x = - 4
However, x > 0 , then x = 7
50 points! Help (Vectors)
[tex]2v - 3u\\\\=2<3,7> - 3<-5,4>\\\\=<6,14>-<-15,12>\\\\=<6+15, 14-12>\\\\=<21,2>[/tex]
Answer:
Step-by-step explanation: