The continuity property of H is that it is:
c. right-continuous
Continuity property: A function is continuous if it has no jumps, i.e., the graph can be drawn without lifting the pencil from the paper. For any random variable X, the function H is right-continuous.
Property of left-continuity: A function is left-continuous if the limit of the function from the left side of x exists and is the same as the function value at x. In the case of the function H, it is not continuous from the left side. In fact, there is a jump that occurs in the limit as x approaches any value.Property of right-continuity: A function is right-continuous if the limit of the function from the right side of x exists and is the same as the function value at x. In the case of the function H, it is continuous from the right side.This is due to the fact that the limit of H(x) as x approaches any value from the right side is equivalent to H(x) as x approaches that value from the right side, so H is continuous from the right side.
A random variable does not have to be any particular type of random variable to have a continuous H. For any random variable X, the continuity property applies to the function H, as demonstrated by the continuity of H from the right side.To know more about continuity property, visit the link : https://brainly.com/question/30328478
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If a set of observations is normally distributed, what percent of these differ from the mean by (a) more than 2.50? (b) less than 0.56o?
The approximately 59.90 percent of the observations differ from the mean by less than 0.56o.
The standard deviation is a measure of the amount of variation or dispersion in a set of observations.
For a normal distribution, it is straightforward to determine the proportion of values that are more than a certain number of standard deviations above or below the mean.
Here's how to determine the percentage of observations that differ from the mean by more than 2.50 or less than 0.56o in a normally distributed set of observations.
Solution:
(a) The percentage of observations that differ from the mean by more than 2.50 is given by the formula below:P(Z > 2.50) + P(Z < -2.50) = 0.00621 + 0.00621 = 0.0124
To obtain the proportion in percentage, multiply by 100: 0.0124 * 100 = 1.24%.
Therefore, about 1.24 percent of the observations differ from the mean by more than 2.50.
(b) The proportion of observations that differ from the mean by less than 0.56o is given by:
P(-0.56/σ < Z < 0.56/σ) = P(Z < 0.84) − P(Z < -0.84) = 0.7995 - 0.2005 = 0.5990
To obtain the proportion in percentage, multiply by 100: 0.5990 * 100 = 59.90%.
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If a set of observations is normally distributed.
Therefore, about 0.62% of the observations differ from the mean by more than 2.50.
About 29.24% of the observations differ from the mean by less than 0.56.
Solution: (a) If a set of observations is normally distributed, then the percentage of observations that differ from the mean by more than 2.50 is given by:
This is calculated using the z-score formula: where x is the observation value, μ is the mean of the distribution, and σ is the standard deviation of the distribution. When we substitute the values of the given parameters, we get: Therefore, about 0.62% of the observations differ from the mean by more than 2.50.
(b) Similarly, the percentage of observations that differ from the mean by less than 0.56 is given by: This is calculated using the z-score formula: When we substitute the values of the given parameters, we get: Therefore, about 29.24% of the observations differ from the mean by less than 0.56.
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Plz help!!!!
Josh conducted an experiment with the bag of
marbles shown below. He will draw a marble out of the bag, record the result, return the marble to the bag, and draw another marble, continuing the process.
If he completes this process 600 times, about how many
times should he expect to draw a striped marble?
A.Approximately 400 times
B.Approximately 250 times
C.Approximately 200 times
D.Approximately 150 times
Answer:
Step-by-step explanation:
There are 12 marbles in total with three of them being striped. The chance of pulling out a striped marble is 3/12 which can be reduced to 1/4. And 1/4 of 600 is 150.
f(x) = x^2 + 4x-12
(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?
Answer:
a) x-intercepts at -6 and 2
b) y-intercept at -12
c) minimum at (-2, -16)
Step-by-step explanation:
Find the perimeter of this complex shape.
The one at the bottom
Answer: Decrease it’s a negative
Step-by-step explanation:
Sam and her brother Nate are collecting stamps together. Nate has collected 5 more than twice the number of stamps Sam has collected. In total they have 26 stamps. Let n be the number of stamps that Sam has collected. Which of the following equations models this situation?
1. 2n+5=26
2. n+2n+5=26
3. 2n+5-n=26
4. n+2(n+5)= 26
Answer:
2. n(2n+5)=26.
Step-by-step explanation:
If Sam has n stamps, and Nate has 5 more than twice that amount, the equation would be: 2. n(2n+5)=26.
pls help it due soon
Answers:
Level 1 Q:
[tex]5x+4x=90\\9x=90\\x=10[/tex]
Level 2 Q:
[tex]48+2x=90\\2x=42\\x=21[/tex]
Level 3 Q:
[tex]25+(x-18)=90\\x=83[/tex]
please help
In the parallelogram below,
x = [? ]
3х+7
5x-17
Answer:
x = 12
Step-by-step explanation:
3х+7 = 5x-17
-2x = -24
Use Wilson's theorem to find the least nonnegative residue modulo m of each integer n below. (You should not use a calculator or multiply large numbers.) n = 861, m = 89 (b) n = 64!/52!, m = 13 m=
The least nonnegative residue of 64!/52! modulo 13 is 4.
Wilson's theorem states that for any prime number 'p', the factorial of (p-1) is congruent to -1 modulo p. This can be written as (p-1)! ≡ -1 (mod p).
Using Wilson's theorem, we can find the least nonnegative residue modulo 89 for the integer 861.
For n = 861 and m = 89, we need to calculate (n mod m) as follows:
861 mod 89 = 861 - (89 * (861 // 89))
= 861 - (89 * 9)
= 861 - 801
= 60
Therefore, the least nonnegative residue of 861 modulo 89 is 60.
Now let's move on to the second part.
For n = 64!/52! and m = 13, we can simplify the expression using cancelation:
64!/52! = (64 * 63 * 62 * ... * 53 * 52!)/52!
Most of the terms in the numerator and denominator cancel out, leaving:
64 * 63 * 62 * ... * 53
To find the least nonnegative residue modulo 13, we can calculate the product of the remaining terms and take the result modulo 13.
(64 * 63 * 62 * ... * 53) mod 13 ≡ (11 * 12 * 1 * 2 * ... * 3) mod 13
≡ (11 * (-1) * 1 * 2 * ... * 3) mod 13
≡ (-11 * 1 * 2 * ... * 3) mod 13
Since (-11) ≡ 2 (mod 13), we have:
(-11 * 1 * 2 * ... * 3) mod 13 ≡ (2 * 1 * 2 * ... * 3) mod 13
Calculating the product, we find:
(2 * 1 * 2 * ... * 3) mod 13 ≡ 4 (mod 13)
Therefore, the least nonnegative residue of 64!/52! modulo 13 is 4.
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use the elimination method to solve for the general solution to the system
x'= x-y
y''= -2x'+e^t
The general solution to the given system of differential equations is:
x(t) = c1 + c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2)
y(t) = c1 + c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2)
where c1, c2, and c3 are constants determined by initial conditions or specific constraints.
To solve the system using the elimination method, we need to eliminate one variable at a time. Let's start by eliminating x.
x' = x - y ...........(1)
y'' = -2x' + e^t ...........(2)
First, differentiate equation (1) with respect to t to get:
x'' = x' - y' ...........(3)
Now substitute the value of x' from equation (3) into equation (2):
y'' = -2(x' - y) + e^t
y'' = -2x' + 2y + e^t ...........(4)
To eliminate x', we subtract equation (4) from equation (2):
y'' - y' = e^t ...........(5)
Next, differentiate equation (5) with respect to t:
y''' - y'' = e^t ...........(6)
Now we have two equations:
y'' - y' = e^t ...........(5)
y''' - y'' = e^t ...........(6)
To solve these equations, we can solve equation (6) for y'' and substitute it into equation (5):
(y''' - e^t) - (y'' - y') = e^t
y''' - y'' + y' - e^t = e^t
y''' - y'' + y' = 2e^t ...........(7)
Equation (7) is a third-order linear homogeneous differential equation for y.
To find the general solution to equation (7), we solve its characteristic equation:
r^3 - r^2 + r = 0
Factoring out an r, we get:
r(r^2 - r + 1) = 0
This equation has one real root r = 0 and two complex roots r = (1 ± √3i)/2.
Therefore, the general solution for y is:
y(t) = c1 + c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2)
Now, we can substitute the general solution for y into equation (5) to solve for x:
y'' - y' = e^t
(c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2))' - (c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2)) = e^t
Differentiating and simplifying, we get:
(-c2e^t(√3/2)sin((√3t)/2) + c3e^t(√3/2)cos((√3t)/2)) - (c2e^tcos((√3t)/2) + c3e^tsin((√3t)/2)) = e^t
Simplifying further, we get:
(-c2e^t(√3/2)sin((√3t)/2) + c3e^t(√3/2)cos((√3t)/2)) - c2e^tcos((√3t)/2) - c3e^tsin((√3t)/2) = e^t
Now, equating the coefficients of e^t and the trigonometric terms, we can solve for c1, c2, and c3.
This completes the solution process using the elimination method for the given system of differential equations.
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identify the intercepts of the relationship graphed below
Answer:
y=9
x= -2, 4
Step-by-step explanation:
Please Asap, its my Final and i dont know what im doing
To find the reflection of point P = (2, 6) across the y-axis, we need to change the sign of the x-coordinate while keeping the y-coordinate the same.
When reflecting a point across the y-axis, the x-coordinate becomes its opposite. Therefore, the reflected point R_y-axis (P) will have the coordinates (-2, 6).
So, R_y-axis (P) = (-2, 6).
10 POINTS !! :( ANSWER BOTH PLS !! DUE BEFORE 11:59 PM
Answer:
Easy,
1) To find the area you need to multiply. Therefore 10 x 4 = 40 square centimeters.
2) 20, why? A calculator online for area of a triangle, it really helps! :) just look up triangle area in the future.
Step-by-step explanation:
help if link will report
Answer:
B
Step-by-step explanation:
Just put B
1)
The fourth-grade students are taking a field trip and need to rent minivans. Each minivan will hold 8 people. There are 135 people
going on the trip. How many people will not be able to go if they only rent 16 minivans?
A) 6 people
B) 7 people
C)8 people
D) 9 people
PLEASEE HELP
ILL GIVE BRAINLIEST
Answer:
d. 9
Step-by-step explanation:
i friken used all my attempts guessing on this and got it wrong all times so 9 is the last answer
A rectangular box is 6 inches wide 10 inches long and 2 inches tall how much wrapping paper is needed to cover the box exactly
Answer:
184 in²
Step-by-step explanation:
Given :
Width, w = 6 inches
Length, l = 10 inches
Height, h = 2 inches
To obtain how much wrapping paper is needed ; we take the surface area of the box
Surface area = 2(lw + lh + wh)
Surface area = 2((6*10) + (6*2) + (10*2))
Surface area = 2(60 + 12 + 20)
Surface area = 2(92)
Surface area = 184 in²
The amount of wrapping paper needed = 184 in²
82,78,86,82,94,84,90.What is the mode
Answer:
82 ☺️
Step-by-step explanation:
A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a length of 13 centimeters.
What is the area of the trapezoid?
Answer:
I couldn't see the picture it is black
Step-by-step explanation:
the formula for the area of a trapezoid is:
[tex]\frac{b1+b2}{2} h[/tex]
insert 7 for b1, 13 for b2, and 10 for h
[tex]\frac{7+13}{2} 10[/tex]
100
Hope that helps
The solution is, the area of the trapezoid is: 100cm^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
given that,
A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a length of 13 centimeters.
now, we know that,
the area of the trapezoid = 1/2 ( a+b)*h
so, substituting the values, we get,
the area of the trapezoid is:
= 1/2 (7+ 13) * 10
=10 * 10
=100
Hence, The solution is, the area of the trapezoid is: 100cm^2.
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A cone has a volume of 602.88 cubic centimeters and a radius of 6 centimeters. What is its height? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
15.98cm
Step-by-step explanation:
Given data
Volume= 602.88cm^3
Radius= 6cm
The formula for the volume of a cone is
V= 1/3 πr^2h
substitute
602.88= 1/3*3.142*6^2*h
602.88=1/3*3.142*36*h
602.88=37.704*h
h= 602.88/37.704
h= 15.98cm
Hence the height is 15.98cm
A trapezoid was broken into a rectangle and a triangle. What is the length, b, of the base of the triangle?
O 2 cm
O 4 cm
O 6 cm
O 8 cm
Answer:
2
Step-by-step explanation:
because if 10 is the whole line of the base at the bottom of the trapezoid
and 8 is the whole top 10-8=2
NEED HELP FAST
Find the arc length of the partial circle
Answer:
The arc length is about 12.57.
Step-by-step explanation:
Formula for arc length: 2πr( degrees/360)
For ours lets do 2π8(90/360)
Simplify the 90 and 360: 16π(1/4)
This gives you: 16π/4
Divide by 4
You get: 4π
4π ≅ 12.57
Can you help me please thank you
The mean pulse rate (in beats per minute) of adult males is equal to 69 pm. For a random sample of 152 adultes the map 68 4 bpm and the standard deviation is 105 bpmFind the value of the test statistic
The test statistic for this problem is given as follows:
t = -0.7.
How to calculate the test statistic?We have the standard deviation for the sample, hence the t-distribution is used to calculate the test statistic.
The equation for the test statistic is given as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The parameters for this problem are given as follows:
[tex]\overline{x} = 68.4, \mu = 69, s = 10.5, n = 152[/tex]
Hence the test statistic is given as follows:
[tex]t = \frac{68.4 - 69}{\frac{10.5}{\sqrt{152}}}[/tex]
t = -0.7.
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isabella bought packs of stickers to give to her friends. each pack costs $3. she spent a total of $18 on stickers. how many packs did she buy? write an equation to represent this situation.
To represent this situation, we can use the following equation:x = the number of packs of stickers Isabella bought x packs of stickers, and each pack costs $3.
So the total cost of the stickers is given by the following equation:3x = total cost of stickers Since she spent a total of $18 on stickers, we can set the equation equal to 18 to get:3x = 183x/3 = 18/3x = 6Therefore, Isabella bought 6 packs of stickers to give to her friends.
To solve this problem, let's assume that Isabella bought "x" packs of stickers.
According to the given information, each pack costs $3. So, the total amount Isabella spent on stickers is $18.
We can represent this situation with the following equation:
3x = 18
Here, "3x" represents the cost of "x" packs of stickers, and it is equal to $18.
To find the number of packs Isabella bought, we can solve the equation for "x".
Dividing both sides of the equation by 3, we get:
x = 18 / 3
x = 6
Therefore, Isabella bought 6 packs of stickers.
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The given information is that Isabella bought packs of stickers, each pack costs $3. She spent a total of $18 on stickers. It is asked to find number of packs did she buy.
Therefore, the answer for this question is that Isabella bought 6 packs of stickers.
Let the number of packs that Isabella bought be p. Each pack costs $3, so she spent a total of $18 on stickers. Using these terms, we can set up the equation:3p = 18To solve for p, we divide both sides of the equation by 3:p = 6. Therefore, the answer for this question is that Isabella bought 6 packs of stickers.
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Question 3 of 3
Carlita has a swimming pool in her backyard that is rectangular with a length of 28 feet and a width of 12
feet. She wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she
wants to have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood
deck.
The perimeter of the wood deck can be expressed, based on the length and width of the swimming pool to be 80 + 8c + 8w feet.
How to find the perimeter ?The perimeter of a rectangle is given by the formula 2x ( length + width ). With the walkway installed, the length becomes (28 + 2c) feet and the width becomes ( 12 + 2c ) feet.
Therefore, the length with the wood deck is ( 28 + 2c + 2w ) feet and the width with the deck is ( 12 + 2c + 2w ) feet.
The perimeter would therefore be:
P = 2 x [ ( 28 + 2c + 2w ) + (12 + 2c + 2w )]
P = 2 x [ 40 + 2c + 2w + 2c + 2w ]
P = 80c + 8 c + 8 w
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I need help with this
Answer:
4/5 to 80%
7/20 to 35%
9/4 to 225%
25/1000 to 2.5%
Step-by-step explanation:
A house on your road has a burglar alarm. The manufacturer has claimed that there is a 98% likelihood of the alarm sounding if someone breaks into the house. In the last 2 years, however, it has gone off on 8 different nights, each time for no apparent reason. Police records show that the chances of being broken into in your neighbourhood are 3 in 10,000. Use Bayes' Theorem to calculate the probability that someone is breaking into your neighbour's house if the alarm goes off tomorrow night. [10 marks] (ii) Comment on your answer. What would the manufacturer need to do if he wanted to improve the situation?
The calculated probability will indicate the likelihood of a break-in given that the alarm has gone off. If the probability is high, it suggests a higher chance of an actual break-in. If the probability is low, it indicates that the alarm might have been triggered by some other reason.
To calculate the probability that someone is breaking into your neighbour's house if the alarm goes off tomorrow night, we can use Bayes' Theorem. Let's denote the events as follows:
A: Someone is breaking into the house
B: The alarm goes off
We need to get P(A|B), the probability of A and B.
Using Bayes' Theorem:
P(A|B) = (P(B|A) * P(A)) / P(B)
P(B|A) = 0.98 (the likelihood of the alarm sounding if someone breaks in)
P(A) = 3/10,000 (the chances of being broken into in your neighbourhood)
P(B) = ?
To obtain P(B), we can use the law of total probability:
P(B) = P(B|A) * P(A) + P(B|A') * P(A')
Since the alarm has gone off on 8 different nights for no apparent reason, we can assume P(B|A') is high, let's say 0.99.
P(A') = 1 - P(A) = 1 - 3/10,000 = 9,997/10,000
Now we can calculate P(B):
P(B) = (0.98 * 3/10,000) + (0.99 * 9,997/10,000)
Finally, we can calculate P(A|B) using Bayes' Theorem:
P(A|B) = (P(B|A) * P(A)) / P(B)
After calculating the values, we can obtain the probability that someone is breaking into your neighbor's house if the alarm goes off tomorrow night.
ii) The calculated probability will indicate the likelihood of a break-in the alarm has gone off. If the probability is high, it suggests a higher chance of an actual break-in. If the probability is low, it indicates that the alarm might have been triggered by some other reason.
To improve the situation, the manufacturer would need to reduce the false alarm rate, as the alarm going off for no apparent reason undermines its effectiveness. This can be achieved by enhancing the alarm system's technology or implementing stricter criteria for triggering the alarm. By minimising false alarms, the manufacturer can increase the reliability and credibility of the alarm system, ensuring that it only alerts for genuine break-ins.
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Find the distance between 2 and -2.
A) -6
B) -4
C) 0
D) 4
Answer:
4
Step-by-step explanation:
We can do this problem by doing the absolute value of the difference between 2 and -2.
2-(-2)=4. Absolute value of 4 is 4.
Hope this helped.
~cloud
Answer:
4
Step-by-step explanation:
Can anyone help with this question geometry
Answer:
The answer would have to be shown in your working out, so look down below for an explanation.
Step-by-step explanation:
You would make each equation with the same letter equal to each other
5x- 10= 7x-20
3y= 5y-16
Then you would solve the equations
5x-10 = 7x-20
+20 +20
5x +10= 7x
-5x -5x
10= 2x
x= 5
-
3y = 5y-16
+16 +16
3y+16=5y
-3y -3y
16 = 2y
y = 8
And there's how you would prove that x=5 and y=8
Question * The degree of precision of a quadrature formula whose error term is h4 120 f(5)) is: 4 2. This option This option 3. 5 This option This option
The degree of precision of a quadrature formula whose error term is h4/120 f(5)) is 4. Option a is the correct answer.
The degree of precision of a quadrature formula measures how many terms of the Taylor series can be reproduced by the formula. It is also known as the order of the formula or the number of nodes used in the quadrature.
The degree of precision of a quadrature formula that produces a zero error on all polynomials of degree less than or equal to n is n.
Therefore, the degree of precision for this quadrature formula is 4, indicating its accuracy in approximating integrals involving functions up to the fourth degree. The correct option is a.
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Complete question
The degree of precision of a quadrature formula whose error term is h4 120 f(5)) is:
Option a - 4
Option b - 2
Option c- 3
Option d- 5