Chebychev's Inequality holds true for the given probability density function P(x) = (x+1)/(2.43) if the variance of the random variable N is finite.
Chebychev's Inequality provides a bound on the probability that a random variable deviates from its mean by a certain amount. It states that for any random variable with finite variance, the probability that the absolute difference between the random variable and its mean is greater than or equal to k standard deviations is less than or equal to 1/k^2.
To determine if Chebychev's Inequality holds true for the probability density function P(x) = (x+1)/(2.43), we need to calculate the variance of the random variable N. The variance, denoted as Var(N), measures the spread or dispersion of the random variable.
To find the variance, we first calculate the mean of N by integrating N * P(x) over the entire range of the random variable. Since P(x) is defined differently for different intervals, we need to split the integral into multiple parts and evaluate them separately. Once we have the mean, we calculate the variance using the formula Var(N) = E[(N - E[N])^2], where E[N] represents the expected value or mean of N.
If the variance of N is finite, which means it is a well-behaved random variable, then Chebychev's Inequality holds true for the given probability density function P(x) = (x+1)/(2.43). In that case, we can use Chebychev's Inequality to provide an upper bound on the probability of N deviating from its mean by a certain amount.
Learn more about Chebychev's Inequality here:
https://brainly.com/question/9309064
#SPJ11
a full-cut round brilliant diamond with a 6.50 mm girdle diameter weighs about
That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.
carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.
the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.
To know more about diamond, visit:
https://brainly.com/question/29775108
#SPJ11
Select all the correct answers.
The diagram shows the construction of two tangent lines to a circle from a point outside the circle.
A circle with a center O. Two tangents, JP and KP are drawn from the same external point P. A horizontal line is drawn from P to O. A vertical line is drawn through the tangent and intersects the horizontal line at M. A line connects JM.
From the diagram, which three statements are true?
- line segment MJ≅ Line segment MP
-∡OJP≅∡OML
-∡OJM≅∡JMO
- line segment OM≅line segment MP
- line segment OJ≅line segment MJ
- line segment LM≅line segment MP
1) line segment MJ≅ Line segment MP
2) ∡OJP≅∡OML
3) line segment OM≅line segment MP
The below mentioned statements are true according to the figure , Option A, B and D is the correct answer.
What are Tangents ?A line that intersects the curve at a single point at 90 degree is called a tangent.
In the given figure it can be seen that the
∡OJP≅∡OML (right angle)line segment OM≅line segment MP (as M is bisecting the line OP)line segment MJ≅ Line segment MPTherefore , Option A , B and D is the correct answer
To know more about Tangents
https://brainly.com/question/19064965
#SPJ1
Suppose that you deposit $19,000 in an investment account that averages 4.1% growth annually. If the account managers charge a fee of 1% annually, how much money will you have at the end of 5 years? Round your answer to the nearest dollar.
The final amount in the investment account will be:$23,055.09 Hence, the final amount of money will be $23,055 at the end of 5 years.
We need to find the amount of money you will have in the investment account at the end of 5 years if you deposit $19,000 in an investment account that averages 4.1% growth annually and if the account managers charge a fee of 1% annually.The formula to find the final amount of investment with annual compounding is given by:P (1 + r/n)^(n*t)P = $19,000r = 4.1% - 1% = 3.1% (as the account managers charge a fee of 1% annually)r = 0.031n = 1t = 5 Therefore, the final amount in the investment account will be:$23,055.09 Hence, the final amount of money will be $23,055 at the end of 5 years.
Learn more about Investment
brainly.com/question/15353704
#SPJ4
3. 03 MC
Stella and Jonathan have been paying their 30-year mortgage since they bought their home two years ago. This year, they want to go on
vacation and are considering skipping two payments to pay for their vacation instead. What could be a future consequence of this behavior
A decreased credit risk
A lower credit score
OD
Lower interest rates
Oo
A credit boost
Answer: a lower credit score
Step-by-step explanation:
Answer:
Step-by-step explanation:
lower crdit score
Find the distance between the two points in simplest radical form. (0,-8) and (-5,-3)
Answer:
I dont know the exact numberbut i have clues below
Step-by-step explanation:
Gradient = -1
Rise = 5
Run = -5
For the geometric sequence, find the two missing terms between 5 and 1/25
Common ratio is 1/5
5 * 1/5 = 1
1 * 1/5 = 1/5
1/5 * 1/5 = 1/25
Missing terms: 1 and 1/5
Consider the initial value problem y'+3/4y=1-t/3, y(0)=y0 find the value of y0 for which the solution touches, but does not cross, the t-axis. (a computer algebra system is recommended. round your answer to three decimal places.)
The value of y0 for which the solution touches, but does not cross, the t-axis is y0 = -0.800.
How can we determine the value of y0 for which the solution touches, but does not cross, the t-axis?To determine the value of y0 for which the solution touches, but does not cross, the t-axis, we need to solve the initial value problem y' + (3/4)y = 1 - t/3, with the initial condition y(0) = y0.
Step 1: Homogeneous Solution
First, we find the homogeneous solution of the given differential equation by setting the right-hand side (1 - t/3) equal to zero. This gives us y' + (3/4)y = 0, which is a linear first-order homogeneous differential equation. The homogeneous solution is obtained by solving this equation, and it can be written as y_h(t) = C ˣ e (-3t/4), where C is an arbitrary constant.
Step 2: Particular Solution
Next, we find the particular solution of the non-homogeneous equation y' + (3/4)y = 1 - t/3. To do this, we assume a particular solution of the form y_p(t) = At + B, where A and B are constants to be determined. Substituting this into the differential equation, we obtain:
A + (3/4)(At + B) = 1 - t/3
Simplifying the equation, we find:
(3A/4)t + (3B/4) + A = 1 - t/3
Comparing the coefficients of t and the constant terms on both sides, we get the following equations:
3A/4 = -1/3 (Coefficient of t)
3B/4 + A = 1 (Constant term)
Solving these equations simultaneously, we find A = -4/9 and B = 7/12. Therefore, the particular solution is y_p(t) = (-4/9)t + 7/12.
Step 3: Complete Solution
Now, we add the homogeneous and particular solutions to obtain the complete solution of the non-homogeneous equation. The complete solution is given by y(t) = y_h(t) + y_p(t), which can be written as:
y(t) = C ˣ e (-3t/4) - (4/9)t + 7/12
Step 4: Determining y0
To find the value of y0 for which the solution touches the t-axis, we need to determine when y(t) equals zero. Setting y(t) = 0, we have:
C ˣ e (-3t/4) - (4/9)t + 7/12 = 0
Since we are looking for the solution that touches but does not cross the t-axis, we need to find the value of y0 (which is the value of y(0)) that satisfies this equation.
Using a computer algebra system, we can solve this equation to find the value of C. By substituting C into the equation, we can solve for y0. The value of y0 obtained is approximately -0.800.
Learn more about: solution touches
brainly.com/question/30946978
#SPJ11
Classify each pair of angles as adjacent, vertical, supplementary, complementary, or neither.
Adjacent
Vertical
Supplementary
Complementary
Neither
PLEASE HELPP MEE
Answer:
Complementary
Step-by-step explanation:
49°+41° = 90°
What value of will make the triangles similar by the similarity theorem?
As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.
Similarity theorem:
In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Given,
Here we need to find the t value of will make the triangles similar by the similarity theorem.
For example, we are told that the 2 triangles are similar by SSS theorem.
Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Therefore, in the triangles ,applying the SSS postulate gives;
=> x/35 = 44/20
Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;
=> x = (44 * 35)/20
When we simplify this one then we get,
=> x = 77
Therefore, the value of x is 77.
To know more about Similarity theorem here.
https://brainly.com/question/24167205
#SPJ4
I need help on this please help it’s geometry:,(
Answer:
a line with points A and B is True
HURRY FAST !!!!!!
If the area of a square is 33.64 square yards, what is the length of one of the sides?
Answer:
5.8 is your answer mate
Step-by-step explanation:
hello
HELP! DUE IN 30 MINUETS
Answer:
slope: 3/4x
Y-Intercept: -6
Step-by-step explanation:
Unit 8: Right Triangles & Trigonometry. Homework 6: Law of Sines. NO LINKS OR FILES I WILL REPORT!!!!
Thanks!
1.) The missing side of the triangle given above would be = 7.4
How to calculate the value of the missing side of the triangle?To calculate the value of the missing side of the triangle, the sine rule is used.
That is;
a/sinA = b/sinB
Where;
a = 5
A = 29°
b = ?
B = 46°
That is;
5/sin29° = b/sin46°
make b the subject of formula;
b = 5×0.719339800/0.484809620
b = 3.596699/0.484809620
b = 7.4
Learn more about triangle here:
https://brainly.com/question/28470545
#SPJ1
Please help with this question. I dont want another detention
Step-by-step explanation:
Total Students = 450 (Everything within the sample/rectangle)
Choir = 110
Band = 240
Both = 60 (Where both circles overlap)
110+240+60 = 410 (Total students in Choir or Band or Both)
410 ÷ 450 = 0.91111111
Therefore the probability that a student chosen at random is in the choir, band or both out of the sample is 91%
Please please I beg you help me.
Answer:
-224t
This is all you had to do and hear is the annswer
33-(2c + 4) = 2(c + 7) +C
Answer:
c=3
Step-by-step explanation:
Can someone help me on this
Answer:
one solution
Step-by-step explanation:
-7 works
7 does not
can someone please help me(10 points will give brainliest!!!)
Answer:
$2.6015900 toysStep-by-step explanation:
You want to know the meaning of D(2.60) = 159 if D(p) tells you the number of toys demanded at price p in hundreds.
Pattern matchingCompare D(p) to D(2.60) and you see that p=2.60. The problem statement tells you p is the price. This means ...
the price is $2.60The problem statement tells you that D(p) is the number of toys in hundreds. When D(p) is 159, the demand is 159 hundred toys.
the demand is 15900 toys<95141404393>
Describe the transformation of the parent
function f(x) = x².
f(x) = (x − 1)² +3
The transformation from the parent function is a translation by 1 unit right and 3 units up
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = x²
f(x) = (x − 1)² + 3
First, we have the transformation to be:
From f(x) = x² to f(x) = (x − 1)²
This means the function is translated right by 1 unit
Next, we have:
From f(x) = (x − 1)² to f(x) = (x − 1)² + 3
This means the function is translated up by 3 units
Hence, the transformation is 1 unit right and 3 units up
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
find the sum of all three digits natural number which are divisible by 4
Answer:
is there any answer choice
Step-by-step explanation:
Ellie drove 416 miles on 18.7 gallons of gas. What was her gas mileage, rounded tothe nearest mpg?Your Answer:
Answer:
\(22\text{ mpg}\)Step-by-step explanation:
To determine what was her gas mileage, divide the total miles driven by the gallons of gas;
\(\frac{416}{18.7}=22\text{mpg}\)how can you apply the basic concept of probability in your life as a student
Answer:
Easy you can guess if you think you can do something and you proudly can
Step-by-step explanation:
Please help please please
The height of of the center support that is perpendicular to the ground is 63 feet.
Calculating the height of the center supportFrom the question, we are to calculate the height of the center support shown in the diagram.
In the diagram,
The perpendicular height divides the triangle into two right triangles
Thus, we can determine the height of the center support by using the Pythagorean theorem.
From the Pythagorean theorem, we can write that
65² = h² + (1/2 × 32)²
4225 = h² + (16)²
4225 = h² + 256
h² = 4225 - 256
h² = 3969
h = √3969
h = 63 feet
Hence,
The height of of the center support is 63 feet.
Learn more on Calculating the height here: https://brainly.com/question/73194
#SPJ1
Find all possible solutions for x and y such that △ABC is congruent to △DEF.
△ABC: sides of length 19, 25, and 3x − 3.
△DEF: sides of length 25, 15, and 5 − y.
△ABC ≅ △DEF when x is ___ and y is ___.
Answer:
Step-by-step explanation:
it means the ABC And DEF have side lengths of 15,19, 25
so 3x-3 = 15
x = 6
5-y = 19
so y = -14
Calculate the length of AC in ABAC to 1 decimal place.
The length of AC in triangle BAC is equal 10.7 units
Cosine RuleIn trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
The formula is given as
AC² = AB² + BC² - 2(AB)(BC) cos AC
AC² = 6² + 7² - 2(6)(7)cos110
AC = 10.7
Using cosine rule, the length of AC is 10.7 unit.
Learn more on cosine rule here;
https://brainly.com/question/28716982
#SPJ1
Help me with this answer
The area of the side lengths of the square that are given above would be as follows;
a.) = 1/25cm²
b.) = 9/49 units²
c ) = 0.01m²
How to calculate the area of the square whose side lengths are given?To calculate the area of square with a given side length, the formula for the area of a square should be given such as follows;
Area of square = a²
For length a.)
where a = side length = 1/5cm
Area = (1/5)² = 1/25cm²
For length b.)
where a = 3/7 units
Area= (3/7)² = 9/49 units²
For length c.)
where a = 0.1m
area= (0.1)² = 0.01m²
Learn more about area of square here:
https://brainly.com/question/25092270
#SPJ1:
What is order of magnitude?
The magnitude of the number of the minutes in the school is 2.
What magnitude is 0 in?Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.
Can a magnitude order be negative?There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).
The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.
On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.
The value storage is where you may find the number into the various magnetic.
As a result, the number of minutes spent in school is 2.
To learn more about order of magnitude from given link
https://brainly.com/question/15698632
#SPJ1
Complete question -
What is the Order of Magnitude of the number of minutes in a school day?
Sarah and her 3 friends split a bag of candy evenly. They each ate 13 pieces of candy and there were 2 pieces leftover. How many pieces of candy were originally in the bag
I WILL MARK BRAINLIEST.
Find the product of 3.2 x 1012 and 4.25 x 109. Write the final answer in scientific notation.
1.36 x 1021
13.6 x 1021
1.36 x 1022
13.6 x 1022
The product in scientific notation is 1.36 x 10^22
How to find the product of 3.2 x 1012 and 4.25 x 109?The product expression is given as:
3.2 x 1012 and 4.25 x 109
Express the product, properly
3.2 x 10^12 x 4.25 x 10^9
Regroup the factors
3.2 x 4.25 x 10^12 x 10^9
Evaluate the product
13.6 x 10^21
Rewrite as:
1.36 x 10^22
Hence, the product in scientific notation is 1.36 x 10^22
Read more about scientific notation at
https://brainly.com/question/5756316
#SPJ1
Answer:
c 1.36 x 1012
explanation:
A chess club with 95 members is electing a new president. Tony received 57 votes. What percentage of the club members voted for Tony?
Answer:
40%
Step-by-step explanation:
Tony received a total of 57 votes. There are 95 members. 95 is 100%, 47.5 is 50%. From this we have go on and play with percentage number. Since I don't remember the exact rule or explanation rn. Hope this helped :)
Answer:
60%
Step-by-step explanation:
95x0.6=57
Percentage=60%