Consider a sample with a mean of 30 and a standard deviation of 5. Use chebyshev's theorem to determine the percentage of data within 15 to 45.
Answers
With the help of Chebyshev's theorem, the percentage of data between 5 to 45 is 89%.
What is Chebyshev's theorem?The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem.
Numerous other probability distributions can be applied to this theorem.
Chebyshev's Inequality is another name for Chebyshev's Theorem.
One of many theorems established by Russian mathematician Pafnuty Chebyshev is known as Chebyshev's theorem.
According to Bertrand's postulate, there is a prime between n and 2n for every n.
So, the percentage of data within 15 to 45 is:
In this instance, we're looking for numbers between 15 and 45.
Since 30 -3*5 = 20 and 30 + 3*5 = 45, we are therefore within 3 deviations of the mean. So, since k = 3, we can find the percent as follows:
% = (1 - 1/3²) × 100 = 88.88% = 89%
Therefore, with the help of Chebyshev's theorem, the percentage of data between 5 to 45 is 89%.
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Related Questions
Hey do you know what 18<-2x is i dont know the answer
Answers
Answer:
\(x\) = -9
Step-by-step explanation:
Given 18 this will be easy
18 ÷ -2
-9
x = -9
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the area of a rectangle is 384^2 and its breadth is two-third of its length.find its perimeter
Answers
Answer:
look down
Step-by-step explanation:
let length be" x"
accroding to question
breadth= 2x/3
we know,
Area of rectangle= l × b
384=x × 2x/3
calculate
Suppose we regress an outcome variable Y on an independent variable X, but we omit controlling for variable Z. How will the coefficient estimate for X be biased
in the following cases? i. Z is negatively correlated with both X and y IL. Z is positively correlated with both X and Y iii. Z positively correlated with X but negatively correlated with Y
iv. Z negatively correlated with X but positively correlated with Y
v. Z is not correlated with either X or Y
vi. Z is positively correlated with X but not correlated with y
Answers
The coefficient estimate for X will be biased in the following cases:i. Z is negatively correlated with both X and Y:
In this case, the coefficient estimate for X will be positively biased. Omitting the control variable Z leads to an overestimation of the relationship between X and Y.
ii. Z is positively correlated with both X and Y:
In this case, the coefficient estimate for X will be negatively biased. Omitting the control variable Z leads to an underestimation of the relationship between X and Y.
iii. Z is positively correlated with X but negatively correlated with Y:
In this case, the coefficient estimate for X will be positively biased. Omitting the control variable Z leads to an overestimation of the relationship between X and Y.
iv. Z is negatively correlated with X but positively correlated with Y:
In this case, the coefficient estimate for X will be negatively biased. Omitting the control variable Z leads to an underestimation of the relationship between X and Y.
v. Z is not correlated with either X or Y:
In this case, the coefficient estimate for X will not be biased. Omitting the control variable Z does not affect the coefficient estimate.
vi. Z is positively correlated with X but not correlated with Y:
In this case, the coefficient estimate for X will not be biased. Omitting the control variable Z does not affect the coefficient estimate.
Overall, omitting a relevant control variable can lead to biased coefficient estimates for the independent variable X, depending on the nature and direction of the correlation between the omitted variable Z and the variables X and Y.
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two cheeseburgers and one small order of fries contain a total of 1350 calories. three cheeseburgers and two small orders of fries contain a total of 2140 calories. find the caloric content of each item.
Answers
Two cheeseburgers contain a total of 1120 calories (2 x 560) and one small order of fries contains 230 calories. And three cheeseburgers contain a total of 1680 calories (3 x 560) and two small orders of fries contain a total of 460 calories (2 x 230).
Let's use a system of equations to solve for the caloric content of each item.
Let x be the number of calories in one cheeseburger and y be the number of calories in one small order of fries.
From the first statement, we know that:
2x + y = 1350
From the second statement, we know that:
3x + 2y = 2140
We can use these two equations to solve for x and y. First, we'll solve for y in terms of x by rearranging the first equation:
y = 1350 - 2x
Now we can substitute thisn expression for y into the second equation:
3x + 2(1350 - 2x) = 2140
Simplifying this equation, we get:
3x + 2700 - 4x = 2140
-x = -560
x = 560
So one cheeseburger contains 560 calories. We can plug this value back into either of the original equations to solve for y:
2(560) + y = 1350
y = 230
So one small order of fries contains 230 calories.
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Assistance pleaseeees?!!
Answers
Answer:
Step-by-step explanation:
Jimmy,bobby,johnny, and brenda are arguing over how to best estimate 3,186 ÷ 79
Answers
Answer:
40.3291139241
Step-by-step explanation:
no, thank you
Answer: You get 40.36 first. If it is by nearest tenth, then 40.4. Nearest ten, then 40
Algebra 2 - U2 L2 - Multiplying and Dividing Radical Expressions
Answers
To multiply radical expressions with the same index, we use the product rule for radicals. \(\sqrt[n]{A}.\sqrt[n]{B} = \sqrt[n]{A.B}\)
To divide radical expressions with the same index, we use the quotient rule for radicals. \(\frac{\sqrt[n]{A} }{\sqrt[n]{B} } =\sqrt[n]{\frac{A}{B} }\)
Multiplying Radical Expressions :
Example,
given: Multiply: \(\sqrt[3]{12} .\sqrt[3]{6}\)
Apply the product rule for radicals, and then simplify.
\(\sqrt[3]{12}.\sqrt[3]{6}=\sqrt[3]{12.6}\)
\(=\sqrt[3]{72}\\=\sqrt[3]{2^{3} .3^{2} } \\=2\sqrt[3]{3^{2} } \\=2\sqrt[3]{9}\)
Dividing Radical Expressions
Example,
given: Divide: \(\frac{\sqrt[3]{96} }{\sqrt[3]{6} }\)
In this case, we can see that 6 and 96 have common factors. If we apply the quotient rule for radicals and write it as a single cube root, we will be able to reduce the fractional radicand.
\(\frac{\sqrt[3]{96} }{\sqrt[3]{6} } =\sqrt[3]{\frac{96}{6} }\)
\(=\sqrt[3]{16} \\=\sqrt[3]{8.2} \\=2\sqrt[3]{2}\)
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Between which two integers does square root of /500 lie?
Answers
Answer:
22 and 23
Step-by-step explanation:
Step 1: Solve the square root
\( \sqrt{100 \times 5} \)
\( \sqrt{ {10}^{2} \times 5 } \)
We can move the 10² out because it matches the index of the root
\(10 \sqrt{5} \)
Step 2: Input into calculator to find decimals
\(10 \sqrt{5} = 22.36\)
Therefore the square root of 500 lies between 22 and 23
22 and 23
Because 5000 is between 222
(484) and 232 (529), the square root of 500 is in between 22 and 23..
What do the center and the scale factor need to be in order to transform ACE to triangle ABD?
Answers
A shape must cross a line in order to be reflected.
Because a reflection across BA will map ABC to ABD, the true statement is (c).
What is transformation?A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. An illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape.
here, we have,
Sides AC and AD of both triangles are congruent
Sides BD and BC of both triangles are congruent
The triangles share a common side AB
This means that a reflection over line AB will map both triangles.
Hence, the true statement is (c)
The complete question is given below.
Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?
yes, because a translation to the right will map ΔABC to ΔABD
yes, because a rotation about point B will map ΔABC to ΔABD
yes, because a reflection across BA will map ΔABC to ΔABD
no, because no rigid transformation will map ΔABC to ΔABD
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A new yo-yo factory is operating at 80 percent
of capacity and produces 4,000 yo-yos daily.
when the factory reaches 100 percent of
capacity, how many yo-yos should be
produced each day?
a.
800
b. 3,200
c. 4,800
d. 5,000
e. 7,200
Answers
100% = (?)
(?) = 4000 x 100/80
= 5,000 yo-yos
guys pls help me!!!!!!
Answers
Answer:
120 degrees
Step-by-step explanation:
it is literally the same as the other side
What is the Greatest Common Denominator or factor between 244 & 48
Answers
Answer:
GCF = 4.
Step-by-step explanation:
Find the prime factors:
48 = 2*2*2*2*3
244 = 2*2*61
The greatest common factor, the GCF) (picking out the common values) =
2 *2 = 4.
A really clever way of finding the GCF of 2 numbers is Euclid's algorithm. It can be used for very large numbers where it would be time consuming and/or rather difficult to find prime factors:
Given two whole numbers where a is greater than b, do the division a ÷ b = c with remainder R.
Replace a with b, replace b with R and repeat the division.
Repeat step 2 until R=0.
When R=0, the divisor, b, in the last equation is the greatest common factor.
So applying this to our problem:
244 / 48 = 5 remainder 4
Replacing a (244) with 48 and b (48) with R (4):-
48/4 = 12 remainder 0.
So the GCF is 4.
Which of the following is not the test of congruence of two triangles ? ASA test ,
AAS test, SSA test , SAS test.
Answers
Answer:
Answer Option C: SSA test
Pls help me with this, tyyy!
Answers
Answer:
Input : 12
Output : -48
Step-by-step explanation:
Hope it helped
let be the set of the lowercase english letters and decimal digits. how many -strings of length satisfy all of the following properties (at the same time)? the first and last symbols of the string are distinct digits (which may appear elsewhere in the string). precisely four of the symbols in the string are the letter ''. precisely three characters in the string are elements of the set and these characters are all distinct.
Answers
The final answer is the sum of the number of possibilities for each case:
Total possibilities = Sum[(10 * 9 * (36)^n) * (nC4) * (36)^(n-4) * (36C3) * (nC3) * (36)^(n-3)] for all valid values of n.
To find the number of valid strings that satisfy the given properties, we can break down the problem into several cases and count the possibilities for each case.
Case 1: The first and last symbols are distinct digits.
There are 10 choices for the first digit (0-9) and 9 choices for the last digit (since it cannot be the same as the first digit). The middle characters can be any combination of letters and digits. Since there are no restrictions on the middle characters, we have a total of (36)^n possibilities, where n is the number of middle characters.
Case 2: Precisely four symbols in the string are the letter 'a'.
There are (nC4) ways to choose the positions of the four 'a' characters in the string, where n is the number of total characters in the string. For each arrangement of 'a's, the remaining characters can be any combination of letters and digits, which gives us (36)^(n-4) possibilities.
Case 3: Precisely three characters are elements of the set, and these characters are all distinct.
There are (36C3) ways to choose three distinct characters from the set of 36 (26 lowercase letters + 10 decimal digits). Once the three characters are chosen, they can be arranged in (nC3) positions in the string, where n is the total number of characters. The remaining characters can be any combination of letters and digits, which gives us (36)^(n-3) possibilities.
To find the total number of valid strings, we need to consider all possible combinations of these cases. Therefore, the final answer is the sum of the number of possibilities for each case:
Total possibilities = Sum[(10 * 9 * (36)^n) * (nC4) * (36)^(n-4) * (36C3) * (nC3) * (36)^(n-3)] for all valid values of n.
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The velocity-time graph of a vehicle is shown below. Determine the displacement of the vehicle between the interval t = 0 s to 2 s.
A) 5 m
B) 10 m
C) 15 m
D) 20 m
Answers
here the slope of the graph is straight, that means velocity is uniform
the correct answer is option B. 10m
What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?
A. y-12=6/5(x+9)
B. y-12=5/6(x+9)
C. y-9=5/6(x-12)
D. y-12=6/5(x-9)
Answers
Answer:
B (lmk if you want me to explain)
Step-by-step explanation:
the point slope form is
y-y1=m(x-x1)
y-12=5/6(x--9)
y-12=5/6(x+9)
Which part of the expression −2(3 + 4)is the sum of two terms? Explain.
Answers
Answer:
3+4
Step-by-step explanation:
cuz they are separated by a plus sign
AB=3 BC=9 AC=9.5
Fill in the values for sin, cos and tan from the given triangle:
Answers
Sin (^) = 0.947
^ = sin-1 (0.947)
^= 71.3 degrees
Cos(^) = 3/9.5
Cos(^) = 0.316
^ = cos-1( 0.316)
^= 71.6 degrees
Tan(^) = 9/3
Tan(^) = 3
^ = tan-1 (3)
^= 71.6 degrees.
If the area of a rectangle can be represented by x^2 -5x-14. What two expressions can represent the dimensions of the rectangle?
Answers
Answer:
x-7
x + 2
Step-by-step explanation:
the equation is a quadratic equation
we need to find factors of -14x² that would add up to -5x
these factors are -7x + 2x
(x² + 2x) - (7x - 14)
factorise the expressions in the bracket
x(x + 2) -7(x + 2)
(x-7 )
or x + 2
Irrelevant answers will be reported. DUE TODAY!!!
Answers
Answer:
C. Ferris wheel
Step-by-step explanation:
Circumference = pi x diameter
Take each of the entries from the diameter column and multiply by 3.14. They are all correct except for the Ferris wheel.
70.5 x 3.14 = 221.37
Suha has a full 600 ml bottle of wallpaper remover.
She is going to mix some of the wallpaper remover with water.
Here is the information on the label of the bottle.
Suha is going to use 750 ml of water.
How many millilitres of wallpaper remover should Suha use?
You must show your working.
PLZ HELP I HAVE ONLY 20 MORE MINS TO COMPLETE!!!
Answers
1/4 divided by ?% = amount of wall paper remover
=0.04
if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab
Answers
Answer:
B. ab+ac=d
Step-by-step explanation:
Answer:
ab + ac = d
Step-by-step explanation:
a(b+c)=d
Distribute the a
ab + ac = d
Topic:Adding and subtracting fractions
Website: Mathswatch
Answers
To add or subtract fractions, find a common denominator, convert the fractions, perform the operation on the numerators, and simplify the result if needed.
When adding or subtracting fractions, you need to find a common denominator before performing the operation. Once the fractions have the same denominator, you can simply add or subtract the numerators and keep the denominator the same.
Step 1: Find the least common multiple (LCM) of the denominators. This will be your common denominator.
Step 2: Convert each fraction to an equivalent fraction with the common denominator by multiplying the numerator and denominator by the same number.
Step 3: Perform the addition or subtraction by combining the numerators and keeping the common denominator.
Step 4: Simplify the resulting fraction, if necessary.
Summary:
To add or subtract fractions, find a common denominator, convert the fractions, perform the operation on the numerators, and simplify the result if needed.
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Given that
x : 20 = 5 : x
Calculate the positive value of x.
Answers
1/2(8x-20)=1/4(12x+32)
Answers
Answer:
x=18
Step-by-step explanation:
4x-10=3x+8
4x-3x
x-10=8
8+10
Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y=5x+8
y=−5x+4
Choose the correct answer below.
Parallel
Neither
Perpendicular
Answers
I need this answer asap!! Taylor earned $338.00 at her job when she worked for 20 hours. What was her hourly wage, in dollars per hour?
Answers
Answer:
$16.90 per hour
Step-by-step explanation:
You want the hourly wage Taylor earned when she worked 20 hours for $338.00.
Hourly wageTo find dollars per hour, divide dollars by hours:
$338.00/(20 h) = $16.90/h
Taylor earned $16.90 per hour.
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7. Write an inequality: Twenty-two more than four times a number is less
than 82.
a) 22 + 4n ≤ 82
b) 22 + 4n > 82
c) 22 + 4n < 82
d) 82+22n ≥ 4
Answers
Answer is C because it's less than.
\(\sqrt{25} is an irrational
Answers
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.