Let X be a random variable with expected value 3 and variance 5. According to the Chebyshev inequality, P(|X - 3I greaterthanorequalto 0.44) lessthanorequalto (give your answer to six decimal places)
Answers
According to Chebyshev's inequality, the probability that a random variable X with mean 3 and variance 5 deviates from its mean by at least 0.44 standard deviations is less than or equal to 0.257807.
The Chebyshev inequality states that for any random variable X with finite expected value μ and variance σ^2, the probability of X deviating from its mean by more than k standard deviations is at most 1/k^2.
In this case, we have X with expected value μ = 3 and variance σ^2 = 5. To use the Chebyshev inequality, we need to find k such that P(|X - μ| ≥ kσ) ≤ 0.44.
Since we want the probability of X being at least 0.44 standard deviations away from its mean, we can set k = 0.44/σ. Plugging in the values, we get:
k = 0.44/√5 ≈ 0.19689
Therefore, P(|X - 3| ≥ 0.44) ≤ P(|X - 3| ≥ kσ) ≤ 1/k^2 = 1/0.03879 ≈ 25.78071%.
So, P(|X - 3| ≥ 0.44) ≤ 0.257807, rounded to six decimal places.
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Related Questions
First one to answer this gets brainlest:
What is 5 * 4 + (6 / [ 2 + 1 ] ) *11
Answers
Answer:
42
Step-by-step explanation:
5 * 4 + (6 / [ 2 + 1 ] ) *11
5 * 4 +2 * 11
20 +2 * 11
20+ 22
42
Answer:
Step-by-step explanation:
5 x 4 + 6/3 x 11
20 + 2 x 11
20 + 22
42
Ayden's monthly bank statement showed the following deposits and withdrawals:
-−$21.78, -−$26.26, -−$91.08, $63.64, $100.54
If Ayden's balance in the account was $40.85 at the beginning of the month, what was the account balance at the end of the month?
Answers
Question 2 of 10A survey asked 40 students if they play an instrument and if they are in a band.1. 25 students play an instrument.2. 20 students are in a band.3. 20 students are not in a band.Which table shows these data correctly entered in a two-way frequency table
Answers
40 Students were asked if they played an instrument (Yes or No) and if they were in a band (Yes or No)
25 answered they play an instrument.
20 answered they are in a band.
20 answered they are not in a bad.
To construct a two-way frequency table you have to write the possible answers for both questions in the margins of the table.
For example, write if they are in a band in the columns and if they play an instrument in the rows:
Add a third row and column for the totals:
The next step is to write the given data in the table.
Each value given corresponds to the totals.
"25 answered they play an instrument." is the total of the first row
"20 answered they are in a band." is the total of the first column
"20 answered they are not in a bad." is the total of the second column
"40" is the total number of students and corresponds to the cell where the third row and column intersect:
The total number of students that do not play any instrument is equal to the difference between the total number of students and the number of students that answered they play an instrument.
\(40-25=15\)There is not enough information to fill in the body of the table.
The correct option seems to be B.
Mary lou received $14,000 from her grandparents for her college education 7 years prior to her enrolling in college. mary lou invested the money at 5.5% compounded semiannually. how much money will she have in her savings account when she is ready to enroll in college?
Answers
Mary lou will have $20574.6 in her savings account when she is ready to enroll in college.
For given question,
Mary lou received $14,000, 7 years prior to her enrolling in college.
She invested the money at 5.5% compounded semiannually.
so the Principal(P) = $14000
Rate (R) = 5.5%
Period(t) = 7 years
First we find the rate of interest in decimal form.
5.5% = 5.5/100
5.5% = 0.055
so, r = 0.055
Using the formula for continuous compound interest,
\(\Rightarrow A = Pe^{rt}\\\\\Rightarrow A=14000\times e^{(0.055\times 7)}\)
⇒ A = 14000 × e^(0.385)
⇒ A = 14000 × 1.4696
⇒ A = $20574.6
This means, after 7 years she will have $20574.6 in her saving account.
Therefore, Mary lou will have $20574.6 in her savings account when she is ready to enroll in college.
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Which value of c would make the following expression completely factored?
8х + су
A.2
B.7
C.12
D.16
Answers
B ! ( 7 )
EXPLANATION :
becauseeee !
The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5
Answers
6. You are told that the proportion p of those who answered "yes" to a poll about internet use is p = 0.70, and the
standard error of the proportion is 0.0458. What was the sample size?
a) 50
B)98
c)100
d) 200
E)The sample size cannot be determined from the information given
Answers
The sample size of the poll was 100.
How to determine the sample size?We can use the formula for the standard error of a proportion to solve for the sample size:
standard error = √[(p * (1 - p)) / n]
where p is the proportion and n is the sample size.
Substituting the given values:
0.0458 = √[(0.70 * (1 - 0.70)) / n]
Squaring both sides and simplifying, we get:
0.0021 = (0.70 * 0.30) / n
0.0021 = 0.21 / n
n = 0.21/0.0021
n = 100
Therefore, the sample size of the poll was 100.
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The volume of the cone shown is 6 cubic inches. What is the height of a cone with the same base diameter but a volume of only 3 cubic inches?
Answers
Answer:
9
Step-by-step explanation:
6=3
PLEASE ANSWER QUICKLY
a batch of brownies takes 2/3 hours to bake. if cherie bakes 4 batches of brownies, one at a time, each day for 3 days how many total hours are spent baking?
Answers
Answer: 8 hours
Step-by-step explanation:
If one batch is 2/3 hrs, and she bakes 4 per day:
2/3 times 4= 2/3 times 4/1= 8/3
3 days = 8/3 times 3=
24/3= 8 hours
I hope this helped and that this was correct :)
Hence, The Total Hours Spent Baking is:
3 * 4 * 2/3 = 8 Hours
Step-by-step explanation:
Make a plan:Calculate the Total Time Spent Baking Brownies Each Day, and Then Multiply the Number of Days.
Solve the problem:
1 - Time Spent Baking One (1) Batch of Brownies:2/3 Hours
2 - Time Spent Baking Four (4) Batch of Brownies in One Day:4 * 2/3 Hours
3 - Time Spent Baking Four (4) Batches of Brownies for Three (3) Days:3 * 4 * 2/3 Hours
(12)(2)/3 = 24/3
= 8 Hours
Draw the conclusion:Hence, The Total Hours Spent Baking is:
3 * 4 * 2/3 = 8 Hours
I hope this helps!
Of the songs in Mitch's music library, 5/6 are rock songs. Of the rock songs, 1/2 feature a guitar solo. What fraction of the songs in Mitch's music library are rock songs that feature a guitar solo?
Write your answer as a fraction or as a whole or mixed number.
Answers
The fraction of the songs in Mitch's music library are rock songs that feature a guitar solo is 5/12
Fractionlet
Total songs in Mitch's music library = xNumber of rock songs = 5/6xNumber of rock song that features a guitar solo = 1/2 of 5/6x
= 1/2 × 5/6x
= 5/12x
Fraction of the songs in Mitch's music library are rock songs that feature a guitar solo = 5/12
Therefore, the fraction of the songs in Mitch's music library are rock songs that feature a guitar solo is 5/12
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help m.e please please
Answers
Answer:
(0, 2)
Step-by-step explanation:
Both the lines are intersecting each other at point (0, 2)
So, the solution to the system of equations would be (0, 2)
Hope it helps you in your learning process
Answer:
I think its (0,2) :)
Step-by-step explanation:
Question 4
At practice, Diego does twice as many push-ups as
Noah, and also 40 jumping jacks. He does 62 exercises
in total. The equation 2x+40=62 describes this situation.
What does the variable x represent?
The number of push-ups Diego does.
The number of push-ups Noah does.
The number of jumping jacks Diego does.
The number of jumping jacks Noah does.
Answers
Answer: The number of push-ups Noah does.
Step-by-step explanation:
Diego does twice as many push-ups as
Noah (2x) and also 40 jumping jacks (+40). He does 62 exercises (=62).
It's not the amount that Diego does because Diego's amount is twice of Noah's, or twice of x. X would have to equal the number of push-ups Noah does.
A man walks for 45 minutes at a rate of 3 mi/h then jogs for 75 minutes at a rate of 5 mi/h then rests for 30 minutes and finally walks for 90 minutes at a rate of 3 mi/h. Write a piecewise-defined function expressing the distance he traveled as a function of time.
Answers
Answer:
Step-by-step explanation:
This is a piece-wise function.
The distance function depends on what time period is involved.
From t=0 to t=0.75, the distance function is: .3t
. . By the end of the 45 minutes, he has gone 2.25 miles.
From t=0.75 to t=2, the distance function is: .2.25+5t
. . By the end of the 75 minutes, he has gone another 6.25 miles, a total of 8.5 miles.
From t=2 to t=2.5, the distance function is: .8.5+0t=8.5
. . By the end of the 30 minutes, he hasn't moved; his total is still 8.5 miles.
From t=2.5 to 4, the distance function is: .8.5+3t
. . By the end of the 90 minutes, he has gone another 4.5 miles, a total of 13 miles.
The function would be written like this:
d(t) = 3t 0 ≤ t ≤ 0.75
2.25+5t 0.75≤t<2
8.5 2≤t≤2.5
8.5+3t 2.5<t<4
Write an equation that represents the scenario: Taylor’s Tow Truck charges $30 to pick up the car and then an additional 2.50 per mile driven to tow your car.
Answers
Answer:
30+2.50m=t
Step-by-step explanation:
where m represents the amount of miles driven and t represents the total of money owed
can i get brainliest please?
Answer:
joker is not see the following questions and the answers will come up on your site
Dont know how to calculate it
Answers
Answer:
AB = 105
Step-by-step explanation:
Since ∠ A and ∠ B are equal then Δ ABC is isosceles with 2 congruent legs.
AC = BC , substitute values
6x - 7 = 5x + 7 ( subtract 5x from both sides )
x - 7 = 7 ( add 7 to both sides )
x = 14
Then
AB = 7x + 7 = 7(14) + 7 = 98 + 7 = 105
100 POINTS HELP
Mathmatics Middle School
Which of the students used the associative property to simplify the expression? Select all that are true. Student 2 Student 1 Student 3 None of the students
Student 1: 5 - 2(4 + 9) - 11
5 - 2(4) - 2(9) -11
5 - 8 - 18 -11
5 + (-8) + (-18) + (-11)
-3 + (-18) + (-11)
-21 + (-11)
-32
Student 2: -9 + (6 + 9) - 42
-9 + (9 + 6) - 42
(-9 + 9) + 6 - 42
0 + 6 - 42
0 + 6 - 16
0 + 6 + (-16)
6 + (-16)
-10
Student 3: -4(14) - 32 - 2 ∙ 0
-4(10 + 4) - 32 - 2 ∙ 0
-4(10) - 4(4) - 32 - 2 ∙ 0
-40 - 16 - 32 - 2 ∙ 0
-40 - 16 - 9 - 2 ∙ 0
-56 - 9 - 2 ∙ 0
-65 - 2 ∙ 0
-67 ∙ 0
0
Answers
Associative property is given by
a+(b+c)=(a+b)+cLet's check the properties used by the students
#1
2(4+9)=2(4)+2(9)
Distributive property#2
Mark the no 3
Associative property#3
No
Distributive propertyNeed solution to this
Answers
a) The value of OQ is,
⇒ OQ = (2, 0)
b) The position vector of F = (1, 3)
c) The position vector of N = (-1, -3)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
a) Here, O is the origin, P is the point (1, 5) and PQ = (3, 5)
Now, We know that;
⇒ PQ = PO + OQ
⇒ (3, 5) = (1, 5) + OQ
⇒ OQ = (3, 5) - (1, 5)
⇒ OQ = (2, 0)
b) Here, O is the origin, E is the point (- 3, 4) and EF = (- 2, 7)
So, We get;
⇒ EF = EO + OF
⇒ (- 2, 7) = (- 3, 4) + OF
⇒ OF = (- 2, 7) - (- 3, 4)
⇒ OF = (1, 3)
Hence, The position vector of F = (1, 3)
c) Here, O is the origin, M is the point (4, - 2) and NM = (3, - 5)
So, We get;
⇒ NM = NO + OM
⇒ (3, - 5) = (4, - 2) + ON
⇒ ON = (3, - 5) - (4, - 2)
⇒ ON = (- 1, - 3)
Hence, The position vector of N = (- 1, - 3)
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What is 8 times 7 ? Pls help
Answers
Answer:
8x7=?
Step-by-step explanation:
8x7=56
Answer:
56
Step-by-step explanation:
8 times 7 equals 56
hope this helps you
pls make me brainlest ;)
Find an equation for the hyperbola with foci (0,±5) and with asymptotes y=± 3/4 x.
Answers
The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:
y^2 / 25 - x^2 / a^2 = 1
where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.
Thus, the equation for the hyperbola is:
y^2 / 25 - x^2 / (400/9) = 1
or
9y^2 - 400x^2 = 900
The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.
To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.
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Which is not true about the degrees of freedom (df) of a chi-square distribution?
Answers
Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.
What is Chi-Square Distribution?The Chi-Square Distribution is a type of probability distribution that is skewed rightward. The Chi-Square Distribution is used for both the confidence interval and hypothesis testing. The confidence interval is used mainly for variances and the hypothesis testing is used for the goodness of fit test and the test of independence.Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:
As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.
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help please! need answer quick will name brainliest
Answers
Answer: x=−3 and y=−7
Step-by-step explanation: 2x−3y=15 −2x+y=−1
−2x+y+2x=−1+2x (Add 2x to both sides)
y=2x−1
(Substitute 2x−1 for y in 2x−3y=15):
2x−3y=15
2x−3(2x−1)=15
−4x+3=15 (Simplify both sides of the equation)
−4x+3+−3=15+−3 (Add -3 to both sides)
−4x=12
−4x /−4
= 12 /−4 (Divide both sides by -4)
x=−3
(Substitute−3 for x in y 2x−1):
y=2x−1
y=(2)(−3)−1
y=−7 (Simplify both sides of the equation)
x=−3 and y=−7
The Gotemba walking trail up Mount Fuji is about 9 kilometres (km) long. Walkers need to return from the 18 km walk by 8 pm. Toshi estimates that he can walk up the mountain at 1.5 kilometres per hour on average, and down at twice that speed. These speeds take into account meal breaks and rest times. Using Toshi's estimated speeds, what is the latest time he can begin his walk so that he can return by 8 pm?
Answers
Answer:
He must start his journey by 11 AM
Step-by-step explanation:
Speed of Toshi while walking up the mountains is 1.5 kilometres per hour
Speed of Toshi while walking down the mountains = 2 * Speed of Toshi while walking up the mountains = 3 kilometres per hour
Time taken to travel 9 Km in the upward direction by Toshi = 9 Km/1.5 kilometres per hour = 6 hours
Time taken to travel 9 Km in the downward direction by Toshi = 9 Km/3 kilometres per hour = 3 hours
He will take total 6 hours + 3 hours = 9 hours to travel 18 Km distance
Thus, He must start his journey by 11 AM
Simplify the expression using the order of operations. 6×(43÷8)÷12 = 6× ÷8÷12 = 6× ÷12 = ÷12 =
Answers
The simplified expression is:
6×(43÷8)÷12 = 2.6875.
Simplify expression using order of operations. 6×(43÷8)÷12 = 6× ÷8÷12 = 6× ÷12 = ÷12 =To simplify the expression using the order of operations, we follow the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (performed left to right), and Addition and Subtraction (performed left to right).
Using this order, we first simplify the expression inside the parentheses:
43 ÷ 8 = 5.375
So now we have:
6 × 5.375 ÷ 12
Next, we perform multiplication and division, from left to right:
6 × 5.375 = 32.25
32.25 ÷ 12 = 2.6875
Therefore, the simplified expression is:
6×(43÷8)÷12 = 2.6875.
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-help me write an equation!!!
Answers
The absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex for this problem are given as follows:
(1, -2).
As the slope of the line is of 1, the leading coefficient is given as follows:
a = 1.
Hence the absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
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2(3x+4) - 2x = 24
I need help rq on this problem I need to solve it
Answers
6x + 8 - 2x = 24
Combine like terms.
6x - 2x = 4x
4x + 8 = 24
Subtract 8 on both sides.
4x = 16
Divide by 4.
x = 4
Answer: x=4
Step-by-step explanation:
Given
2(3x+4)-2x=24
Expand parenthesis
6x+8-2x=24
Combine like terms
4x+8=24
Subtract 8 on both sides
4x+8-8=24-8
4x=16
Divide 4 on both sides
4x/4=16/4
x=4
Hope this helps!! :)
Please let me know if you have any questions
The regression line is called the least squares line because it is the line that results in the __________ sum of the squared __________.
Answers
Answer:
Smallest
Vertical deviations
Step-by-step explanation:
I have more and will give more points if you answer all of them
Answers
Answer:
Look at my photo to see where to graph this:
Do you see? your going to click - 5 and make it go horizontal
5(x+1)+x=6x+5. Solve, please.
Answers
Answer:
x = All Real Numbers
Step-by-step explanation:
5x + 5 + x = 6x + 5
Subtract 5 from both sides
5x + x = 6x
Add the x
6x = 6x
x = Any number in the world
Hope that helps!
Answer:
6x+5=6x+5
infnite soultins but i simplified
A company conducts a survey to determine whether the public likes their new product. The person conducting the survey randomly picks 100 people from the company's customer list who have s first name beginning with the letter A.
Is the sample an appropriate sample? Explain?
Answers
The sample selected by the person conducting the survey is not an appropriate sample.
The reason is that the survey sample is limited to individuals with first names beginning with the letter A, which introduces a selection bias.
By excluding individuals with names that do not start with A, the sample is not representative of the company's entire customer base.
A good survey sample should be random and representative of the population it aims to study.
In this case, the sample should ideally include customers with different first names, covering a diverse range of demographics and preferences. By limiting the sample to only individuals with names starting with A, the survey results may not accurately reflect the opinions and preferences of the broader customer population.
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(r/s)(3)=
It’s a two part question, I’m to lazy to answer
Answers
Answer:
Step-by-step explanation:
