As per the gaussian distributed random variables , the joint probability density function of the given variable is E [Z(t1)] = cos(2πt1)E [X] + sin(2πt1)E [Y]
Gaussian distribution:
In statistics, the Gaussian distribution refers the normally distributed, and is called a normal deviate. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known.
Given,
Here we need to find the the joint probability density function of the variables x and y be independent gaussian distributed random variables each with zero mean and unity variance.
Here we know that every weighted sum of the samples of the Gaussian process Z(t) is Gaussian, Z(t1), Z(t2) are jointly Gaussian random variables. Hence we need to find mean, variance and correlation co-efficient to evaluate the joint Gaussian PDF.
Then the equation is written as,
=> E [Z(t1)] = cos(2πt1)E [X] + sin(2πt1)E [Y]
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Help me out!! Giving Brainly to whoever helps!
Answer: 325 adult tickets
Step-by-step explanation:
721 = (a+71) + a
721 = 2a + 71
2a = 650
a = 325
The number of different hands possible in the game of bridge is about 635 billion. Write this number in scientific notation
Please help me!!!!!!!!!!!!
Answer:
Step-by-step explanation: One denominator in the question is 4/5 and another is 1/2. A common denominator would be /10 because it applies to /5 and /2.
A relation contains the points (1, 2), (2, −1), (3, 0), (4, 1), and (5, −1). Which statement accurately describes this relation?
The relation represents y as a function of x as for each value of x there is a unique value of y.
What is a function?A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).
The given data is as follows,
A relation contains the points (1,2),(2,-1),(3,0),(4,1), and (5,-1).
Here x is the element of domain and y is of the range of the given relation.
Here, the values of y are distinct for different values of x.
Hence, the given relation represents y as a function of x because for each value of x there is a single value of y.
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#9 -5=9+(c divide by 4) *
O A. c = -56
O B. c = 56
O C. c = -16
OD. c = 16
After solving the given equation for c, we know that the value of c is (A) -56.
What are equations?Equivalent systems refer to sets of equations with the same solution.
We can create an analogous system from a system of two equations by replacing one equation with the total of the two equations or by replacing an equation with a multiple of itself.
So, we have the equation:
-5 = 9+(c/4)
Now, solve for the subject c as follows:
-5 = 9+(c/4)
-5 -9 = (c/4)
-14 = c/4
c = -14*4
c = -56
Therefore, after solving the given equation for c, we know that the value of c is (A) -56.
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Can anyone help me understand this please? I am mainly just confused about how to graph the first equation the second I can do
A graph of the given system of equations f(x) = 2x² - 8x + 3 and g(x) = -2x + 3 is shown in the image attached below.
The points that make both equations true is (0, 3)
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
What is a quadratic function?In Mathematics, the graph of every quadratic equations (functions) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic equation (function) would always form a parabolic curve.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each, which is the ordered pair (0, 3);
f(x) = 2x² - 8x + 3
3 = 2(0)² - 8(0) + 3
3 = 3 (True).
g(x) = -2x + 3
3 = -2(0) + 3
3 = 3 (True).
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1. If candy canes cost.89 a dozen, how much would it cost to buy candy canes for a school with 400 students? Show all work!
A dolphin is swimming in the ocean at −13 feet.
What is the dolphin's distance from the surface of the water in feet?
The depth of the water is 5.3 meters
What is the dolphin's distance from the surface of the water in feet?The dolphin jumps to a height of 4.5 over the water's surface, and her companion swims 9.8 straight beneath her, according to the story.
We will take the position of the dolphin's friend and subtract it from the dolphin's position to determine the location of the dolphin's friend with respect to the water's surface.
-5.3 denotes the depth of the water.
As a result, the friend of the dolphin is located 5.3 meters below the water's surface.
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what is 6 plues 9 i need it plesae.
6️⃣9️⃣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
What is the range of this table?
Answer: B
Step-by-step explanation:
Range will always be Y
Domain will always be X
The perimeter of a rectangular pool i 110 feet. If the pool i 17 feet wide, find the length of the pool
It will be 38 feet long
What is perimeter?The perimeter is the space surrounding a shape's edge.
The sum of the lengths of all the sides in a rectangular shape is its perimeter. P = 2( L+B)
Given that a rectangle's width is 17 feet and its perimeter is 110 feet, the length will be P = 2 (L + B)
110 = 2 (L + 17)
55 - 17 = L.
The pool is therefore 38 feet long.
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The diagram shows a sector of a circle radius 10 cm.
Find the area of the sector, giving your answer correct to 1 decimal place.
Answer:
[tex]117.8cm ^{2} [/tex]
Step-by-step explanation:
[tex]a = {r}^{2} \theta \: \div 2 \\ = 100 \times 135 \div 2 \\ = 117.8 \: {cm}^{2} [/tex]
PLS HELP ME IN THIS ASAP
Answer:
0.004
Step-by-step explanation:
Hope it helps!
In 2017, a company's sales were about $9 million. Sales increased at an approximately constant rate and reached
about $14.5 million in 2020, Estimate the sales in 2026. Show your work.
Answer: To estimate the company's sales in 2026, we need to find the average increase in sales per year and then use that to predict the sales for 2026.
The total increase in sales from 2017 to 2020 was $14.5 million - $9 million = $<<14.5-9=5.5>>5.5 million.
The number of years from 2017 to 2020 is 2020 - 2017 = <<2020-2017=3>>3 years.
Therefore, the average increase in sales per year was $5.5 million / 3 years = $<<5.5/3=1.83>>1.83 million/year.
Since the average increase in sales per year was $1.83 million/year, we can estimate the sales in 2026 by adding that amount to the sales for each year from 2020 to 2026. For example, the estimated sales for 2021 would be $14.5 million + $1.83 million = $16.33 million. Similarly, the estimated sales for 2022 would be $16.33 million + $1.83 million = $18.16 million, and so on.
Using this method, we can estimate that the sales for 2026 will be $26.73 million.
If the simple interest on $2,000 for 10 years is $1,400, what is the interest rate?
Answer: I = $ 200.00
Step-by-step explanation:
I = Prt
Convert R (percent) to r (decimal)
r = R/100 = 1%/100 = 0.01 per year
I = 2000 × 0.01 × 10 = 200
I = $ 200.00
hope this helps!
I NEED HELPPP!! PLEASE ANSWER ASAP I WILL GIVE BRAINLIEST AFTER 2 PEOPL ANSWER THISSSSS
Answer:
x = 4
Step-by-step explanation:
5 x .8 = 4
Answer: the value of x is 4
Step-by-step explanation:
x=5*0.8=4
The graph shows the relationship between the time and the distance a train traveled. Distance Traveled Distance (kilometers) 80- 70- 60- 50+ 40+ 30- 20+ 10+ 0 10 (40, 50) 20 30 40 50 60 Time (minutes) What does the point (40, 50) represent on the graph? Enter the answers in the boxes to complete the sentence. The point (40, 50) shows that in ✓ minutes, the train traveled kilometers.
Answer:
in 40 minutes ... travelled 50km
Step-by-step explanation:
Write the expression in simplest radical form. Please help !!
Answer:
[tex]7\sqrt5[/tex]
Step-by-step explanation:
245 ÷ 5 = 49
49 is a square number (7)
So you put 7 on the outside and 5 on the inside.
mark has 100$in his savings account. He earns 25$ a week mowing lawns. If mark puts all of his earnings from mowing lawns into a savings account, how many weeks will it take for him to have 500$?
Penny has 14 coins, all nickels, dimes, and quarters, totaling $2. 50. She has twice as many dimes as nickels, and twice as many quarters as dimes. How many dimes does she have?.
Out of the 14 coins she has, she will have 4 dimes, totaling $2.5.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
Here,
Let n be the nickels, d be the dimes, q be the quarters.
Total coins=14
Total amount=$2.5
n=2d
d=2q
q=d/2
d+q+n=14
d+2d+d/2=14
2d+4d+d=28
7d=28
d=4
She will have 4 dimes out of 14 coins that she owns with an amount of $2.5.
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Two perpendicular lines intersect at K(-2,-5). One line has equation y = -5/3x-25/3. what is the equation of the other line?
Answer:
It is y = 3/5x - 19/5
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. Thus, the slope is 3/5x. Plug in -2 as x and solve for the intercept. It ii -19/5.
this is the question
Answer:
1. no solution
2. one solution
3. infinitely many solutions
4. one solution
Step-by-step explanation:
1. same slope, different intercepts, parallel lines, no solution
2. different slopes, lines intersect at 1 point, one solution
3. same equation, infinitely many solutions
4. different slopes, lines intersect at 1 point, one solution
Min receives an average score of 7 after completing 5 math tests. If she has another test coming up, find what mark she must gain to raise her average to 75.
Min needs to gain 80 marks to raise her average to 75.
What is Average number?Average number is got from sum of all numbers divided by the number of values.
Why we use average value?Average value is used to compare among different quantities of same terms.
given, Min receives an average score 70 from 5 math test.
let she needs to gain X in her 6th test to obtain an average of 75 from the total six test.
she gained average 70 from 5 test
if average is 75 then
75 = (X+ 70)/2
X=80
hence, in the 6th test she needs to gain 80 marks.
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how did you solve it??
PLEASE HELP I REALY NEED THIS NOW How much simple interest is earned on an investment of $800 with a rate of 6.1% over 7 years?
A. $341.60
B. $410.87
C. $3,416.00
D. $4,108.70
The amount of simple interest is (a) $341.60
How to determine the amount of simple interest?From the question, we have the following parameters that can be used in our computation:
Principal, P = $800
Rate, r = 6.1 %
Time = 7 years
The simple interest on the investment is calculated as
I = PRT
Substitute the known values in the above equation, so, we have the following representation
I = 800 * 6.1% * 7
Express 6.1% as decimal
So, we have the following representation
I = 800 * 0.061 * 7
Evaluate the products
I = 341.6
Hence, the amount is (a) $341.6
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Solve the system of equations using elimination:
-5x + 8y = -6.
-
- 5y = -9 and
Answer:
x=102/25 y=9/5
Step-by-step explanation:
The total height of a building, b, and the antenna tower on top of it, t, is 425 feet. The difference in heights of the building and the antenna tower is 324 feet. The following system of equations represents the situation.
b + t = 425 b- t = 324
a. Solve the system of equations using elimination. Explain your process in your own words.
b. What is the height of the antenna tower?
Answer:
It A
Step-by-step explanation:
through (4,-9) perpendicular to 8y=x-16
Answer:
y = -8x + 23
Step-by-step explanation:
8y=x-16
we need to turn this into slope-intercept form by dividing 8 on both sides
y = x/8 - 2
to make a line perpendicular from another, we must make sure the slope is the negative reciprocal of the original line.
Right now, it's the same as the original. To make it a negative reciprocal, switch the places of the denominator and numerator and flip the signs
-8x is the negative reciprocal of x/8
Does it go through (4,-9)? No.
To make sure it goes through 4,-9, we change it's y-intercept.
Plug in the coordinate given (4,-9) in the y = -8x + b ( we removed -2 since it's not the right answer.
y = -8x + b
(-9) = -8(4) + b
-9 = -32 + b
-9 +32= -32 + b +32
23 = b
plug in b and we get our answer
y = -8x + 23
Write an equation in standard form of the line that passes through the given point and has the given slope (I need an answer ASAP please)
1. (4, -1); m = 3
2. (-8, 0); m = -4
3. (-6, -10); m = 1/6
The equation of the lines is,
1. (4, -1); m = 3 : - y = 3x - 13
2. (-8, 0); m = -4 :- y = -4x - 24
3. (-6, -10); m = 1/6 :- y = -1/6x - 9
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The equation of the lines will be,
y = mx + c
y = 3x + c
-1 = 4 x 3 + c
c = -13
y = 3x - 13
y = mx + c
y = -4x + c
0 = -4 x -8 + c
c = -24
y = -x -24
y = mx + c
y = 1/6x + c
-10 = -1 + c
c = -9
y = -1/6x - 9
Therefore, the equation of the lines is,y = 3x - 13 y = -4x - 24 and y = -1/6x - 9.
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Lela is making peach pies. She uses 9 peaches for each pie. If she uses 18 peaches for 2 pies and 36 peaches for 4 pies, how many peaches will she need for 7 pies?
A.45
B.54
C.63
D.70
Lela is making peach pies. She uses 9 peaches for each pie. If she uses 18 peaches for 2 pies and 36 peaches for 4 pies, how many peaches will she need for 7 pies?
A. 45 B. 54C. 63D. 70Answer : C. 63Explanation :As, Lela is using 9 peaches for each pie.
Thus, she used 18 peaches for 2 pies, which is 2 times 9 and 36 peaches for 4 pies, which is 4 times 9. Therefore, to make 7 pies, she would need :
Peaches used for one pie = 9
=> Peaches used for 7 pies = 9 × 7
=> Peaches needed for 7 pies = 63
Hence, she will need 63 peaches to make 7 pies.