Therefore, the probability that the absolute cumulative rounding error is at least 2 is bounded by 5/12. Therefore, the probability that the absolute cumulative rounding error is at least 2, as approximated by the Central Limit Theorem, is approximately 0.0456.
a. Chebyshev's Inequality states that for any random variable X with finite mean μ and variance σ^2, the probability of X deviating from its mean by more than k standard deviations is bounded by 1/k^2. In this case, the random variable we are interested in is the absolute cumulative rounding error, |C1 + C2 + ... + C20|, which has mean 0 and variance Var(|C1 + C2 + ... + C20|) = Var(C1) + Var(C2) + ... + Var(C20) = 20/12 = 5/3. Using Chebyshev's Inequality with k = 2 standard deviations, we have:
P(|C1 + C2 + ... + C20| ≥ 2) ≤ Var(|C1 + C2 + ... + C20|) / (2^2)
P(|C1 + C2 + ... + C20| ≥ 2) ≤ 5/12
b. According to the Central Limit Theorem, the sum of independent and identically distributed random variables, such as C1, C2, ..., C20, will be approximately normally distributed as the sample size increases. Since each Ci has mean 0 and variance 1/12, the sum S = C1 + C2 + ... + C20 has mean 0 and variance Var(S) = 20/12 = 5/3. Using the standard normal distribution to approximate S, we have:
P(|S| ≥ 2) ≈ P(|Z| ≥ 2) = 2P(Z ≤ -2) ≈ 2(0.0228) ≈ 0.0456
where Z is a standard normal random variable and we have used a standard normal distribution table or calculator to find P(Z ≤ -2) ≈ 0.0228.
To know more about probability,
https://brainly.com/question/30034780
#SPJ11
help asap look at ss
Answer:
they are 3
Step-by-step explanation:
G(x)=-x-3, find g(1)
Answer:
G(1) = -2
Step-by-step explanation:
for G(1) replace x with 1
G(1)=1-3
subtract
1-3 = -2
so G(1) = -2
2/16 2 + x = 12
what is the answer to this equation?
Answer:
nomelase pero será chida la imagen que tienes
1) Find the linear equation from the
graph:
Answer:
y = -1/2 x - 3
Step-by-step explanation:
Use the coordinates from the graph:
(-6, 0) and (0, -3)
Slope m = -3-0/0-(-6)
m = -3/6
m = -1/2
The y-intercept is -3 (point where the line meet the y intercept)
Substitute unto the expression y = mx+c
y = -1/2 x - 3
Hence the required equation is y = -1/2 x - 3
Select one or more expressions that together represent all solutions to the equation.
sin(x)=-0.7
Answer:
A. [tex]x_{1} = -44.427^{\circ}\pm n\cdot 360^{\circ}[/tex]
B. [tex]x_{2} = -135.573^{\circ}\pm n\cdot 360^{\circ}[/tex]
Step-by-step explanation:
The negative value of the sine function indicates that [tex]x[/tex] is located at third and fourth quadrants. Besides, this function has a period of 360º. There are two families of solutions:
[tex]x_{1} = \sin^{-1} (-0.7)[/tex]
[tex]x_{1} = -44.427^{\circ}\pm n\cdot 360^{\circ}[/tex]
[tex]x_{2} = \sin^{-1} (-0.7)[/tex]
[tex]x_{2} = -135.573^{\circ}\pm n\cdot 360^{\circ}[/tex]
Hence, right answers are A and B.
simplify Cos(a+b) +Cos(a+b)
5 times a number is at least 60.
Please help DUE TODAY
Answer:
5 times 12 = 60
Step-by-step explanation:
5 times 12 is at least 60
Find the square root of the number. -4 square root -32 The square root is
Answer:
-32 + 2i.....
yan po Ang sagot ko jan
Can someone tell me what this is really quick
Answer:
There were no more than 15 fruit snacks in the bag
Step-by-step explanation:
I hope this helps!
is this right if it's not can you help me please
Answer:
I think its right. It look good to me. But always make sure its right before submitting
Integer exponents
1. 2(9x - 2y) =
2. 2k3 (2k2 + 5k - 4) =
3. 7(6x2 + 9xy + 10y2) =
4. 8x (6x + 6) =
5. 8r2 (4r2 - 5r +7) =
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Yuki went on a walk around her school. The school was mapped onto a grid where each unit represented one foot in real life. She started at the entrance, which was located at (50, 25). She walked to the library at (50, 100). Then she went to her math class which was located at (200, 100). She went to her locker at (200, 25) before she went back to where she started. How far did she walk in all?
Answer:
750
Step-by-step explanation:
50+25+50+100+200+100+200+25
can you help me please
This question is much easier than the last one. As we can see the yellow are is the same as the bottom area with the same shape. And the area of the 2 hemispheres adds together to a full circle area: 3^2*pi=9pi
Area of yellow region=(36-9pi)/2=18-9/2pi=3.862 and round this to the nearest tenth getting 3.9.
Write a Haiku about science please! Have a great day :)
Answer:
in Earth, space, the trees
science is all around us
answer life's questions
Step-by-step explanation:
Haikus must be written with 5 syllables in the first line, 7 in the second, and 5 again in the 3rd, so they are naturally limited and simplistic. Hope this helps, and brainliest is always appreciated! Enjoy your day bro!
I will mark you brainliests help me with this please
Answer:
[tex]G=cos(x) -1[/tex]
I need help with this math question
Answer:
16675514 Frog
Step-by-step explanation:
[tex]g(25)=14(1.75)^{25} =16675514[/tex]
Type the correct answer in the box. Round your answer to the nearest tenth.
B
R=?
F = 38 N
501
F = 40 N
Two forces. 5 and 5 are acting on a body, as shown in the figure. The resultant force, RIS
newtons
Please answer
NEEDED ASAP WILL MARK AS BRAINLIEST
Here are two right-angled triangles.
Given that tan a = tan b
find the value of x.
You must show all your working.
Explanation:
This might not be how you are supposed to do it but,
We can see the two triangles are similar because AA similarity.
We know that the sides are proportional so we can make:
[tex]\frac{x+2}{x}=\frac{4}{3x-1}[/tex]
We get,
[tex]3x^2+5x-2=4x\\3x^2+x-2\\(3x-2)(x+1)=0\\x=2/3, x=-1[/tex]
Because sides can't be negative, x = 2/3
Answer:
x=2/3 = 0.7
Step-by-step explanation:
X+2/x = 4/3x-1
=(X+2)(3x-1)=4x
(x+2)(3x-1)-4x=0
3x²-x+6x-2-4x=0
3x²+x-2=0
3x²+3x-2x-2=0
3x(x+1)-2(x+1)
(x+1)(3x-2)=0
x+1=0
3x-2=0
x=-1 or 2/3
x=2/3 = 0.7
56 boys and 34 girls visit a zoo.
46 of these children have a voucher.
Three times as many boys as girls do not have a voucher.
Complete the frequency tree.
Answer:
the amount of boys that HAVE a voucher is 23
the amount of girls that HAVE a voucher is 23
Step-by-step explanation:
Answer: follow for more answers concerning maths, biology physics and chemistry
Step-by-step explanation:
hi hello! please help me.
Answer:
x= -4
Step-by-step explanation:
hope it's helpful to you
Answer:
A) x= -4
Step-by-step explanation:
To solve you must isolate the variable. Do this by using the properties of equality to subtract and divide numbers from both sides of the equation. First, subtract 8x to move all x terms to the right side.
-48=12x
Then, divide both sides by 12
-4=x
a train travels 16 miles in 20 minutes . at this rate how many minutes will it take to tavel 12 miles
Answer:
15 minutes
Step-by-step explanation:
distance = rate · time
16 = 20r
r = 16/20 or 4/5 miles per minute
12 = 4/5·t
4t = 12·5
t = 60/4 or 15 minutes
I got it wrong and I don't have time to fix it, I don't know how to delete my response do just report this I guess ;-;
find x=, if x+4=10 please hurry!!!
The answer is x= 6
6 + 4 is = 10.
Answer:
x=6
Step-by-step explanation:
+4=10
+4-4=10−4
x=6
Need help ASAP
Thankss + BRAINLIST only for correct answer
Answer:
y = 4Step-by-step explanation:
x + 2y = 10 ⇒ 2y - 10 = -x
-x + 4y = 14
2y - 10 + 4y = 14
6y = 24
y = 4
Please help me :(.......
Answer:
He makes £470 profit
Step-by-step explanation:
He pays $160 for 60 jumpers.
He sells 80% (48) for $12 each. Income of $576
He puts the remaining (12) on sale for one full one half off.
He sells 3 for half price ($6) and 3 for full price ($12) Income of $54
$576 + $54 = $630
$630 - $160 = $470
In pounds sorry about the USD
Simplify the expression. -6 1/3-1/2(1/2+x)
Answer:
-79/12 - x/2
Step-by-step explanation:
Simplify ⏬
Inequality from graph
Choose the inequality that represents the following graph.
MY
Cou
-5
14
13
12
+
5
1
0
1
2
3
4
MY
Choose 1 answers
Pro
21
Pro
Теа
2011
2-1
2-1
Hi
Answer:
A. x < -1
Step-by-step explanation:
Because the direction of the vector is less than -1 and the dot on -1 isn't filled (not equal to)
Answer:
option a and b is the inequality that represents the following grap
the next term of the square 3 by 1
9514 1404 393
Answer:
(B) 1/27
Step-by-step explanation:
The terms of the sequence have a common ratio.
(1/8)/(3/16) = (2/16)/(3/16) = 2/3
(1/12)/(1/8) = (2/24)/(3/24) = 2/3
(1/18)/(1/12) = 12/18 = 2/3
The next term will be ...
(1/18)(2/3) = 2/54 = 1/27 . . . . matches choice B
Allan and Robert are viewing a kite in the air. The kite
has an altitude of 205 feet. The angles of elevation
from the ground are shown in the picture below.
What is the total distance between Allan (Point A)
and Robert (Point R)?
A. 292.9
B.166.0
C. 458.9
D. 24.5
[tex]tan \: a = \frac{opp}{adj} = \frac{205}{adj} [/tex]
[tex]adj = \frac{205}{ \tan(35) } [/tex]
[tex]adj = 292.7703414[/tex]
//
[tex]tan \: r = \frac{opp}{adj} = \frac{205}{adj} [/tex]
[tex]adj = \frac{205}{ \tan(51) } [/tex]
[tex]adj = 166.0057268[/tex]
//
[tex]292.7703414 + 166.0057268[/tex]
[tex] = 458.7760682 \: ft.[/tex]
round as you wish.
help :> explain how you did it * quick*
Answer:
answer AStep-by-step explanation:
Because this figure is dilated by the factor of 3 we can infer that the figure before dilation was 3 times bigger than the figure now.
so is AC is 5 now then AC before must have been 15
5*3=15
If the angle of A is 37 now then it must have been 111
37*3=111
I'm not 100% sure about this but I hope it helped :)
Answer:
Hey you once commented on the question if you knew horsleyjaydyn and you said something about her being fake could tell me what you said she was old something don't remember
Step-by-step explanation:
Write the equation for this line in slope-intercept form.
y=-2x+?
A. -4
B. 2
C. -2
D. -1/2
Please explain as simply as you can I'm really struggling. Also will give brainly
Answer:
The answer is A. -4.
Step-by-step explanation:
The missing value you are looking for is the y-intercept or where the line crosses the y axis.