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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okay last one . help
Find the variance and standard deviation of the data. Round your answers to the
nearest hundredth.
78, 83, 85, 89, 92, 95
pls pls pls, I beg you to how to put a link I want you to answer this correctly without a link please answer this correctly I beg you
Answer:
1. −51,−41,−38,13,41,50
2. $140 each pair of shoes costs $20 (80 divided by 4). 20 times 7 is 140
3. 5x +6y+1
4. 5+15(n) or using instead of using n for hours use h so, 5+15(h)
5. cylinder
Answer/Step-by-step explanation:
-51, -41, -38, 13, 41, 50
140
5x + 6y + 1
5 + 15h
Cube.
Identify the measure of the angle indicated.
76
х
The value of 2 that makes lines a and b parallel is
Answer:
x = 76°
Step-by-step explanation:
76° and x are alternative interior angles, so they are congruent when lines a and b are parallel
Brainlest for correct awnser :D
Answer:
24 inches
Step-by-step explanation:
(3, 3 3 ) (i) find polar coordinates (r, ) of the point, where r > 0 and 0 ≤ < 2. (r, ) = (ii) find polar coordinates (r, ) of the point, where r < 0 and 0 ≤ < 2. (r, ) =
(i) the polar coordinates of the point are (6, π/6).
(ii) the polar coordinates of the point are (-6, π/6).
The Cartesian coordinates of the point are given as (3√3, 3). We need to find the polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π and also where r < 0 and 0 ≤ θ < 2π.
To find the polar coordinates (r, θ) of the point, we use the following formulas:
r = √(x² + y²)
θ = tan⁻¹(y/x)
where x and y are the Cartesian coordinates of the point.
(i). For r > 0 and 0 ≤ θ < 2π, we have:
x = 3√3
y = 3
Using the above formulas, we get:
r = √((3√3)² + 3²) = √(27 + 9) = √36 = 6
θ = tan⁻¹(3/3√3) = tan⁻¹(1/√3) = π/6
Therefore, the polar coordinates of the point are (6, π/6).
b. For r < 0 and 0 ≤ θ < 2π, we have:
x = 3√3
y = 3
Using the above formulas, we get:
r = -√((3√3)² + 3²) = -√(27 + 9) = -√36 = -6
θ = tan⁻¹(3/3√3) = tan⁻¹(1/√3) = π/6
Therefore, the polar coordinates of the point are (-6, π/6).
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Given question is incomplete the complete question is incomplete
The Cartesian Coordinates Of A Point Are Given.
(3√3,3)
(i) Find Polar Coordinates (r, θ) Of The Point, Where r>0 And 0≤θ<2π.
(ii) Find Polar Coordinates (r, θ) Of The Point, Where r<0 And 0≤θ<2π.
The population standard deviation for the heights of dogs, in inches, in a city is 3.4 inches. If we want to be 90% confident that the sample mean is within 1 inch of the true population mean, what is the minimum sample size that can be taken?
Answer:
The minimize size that can be taken is - 31.28 or 31 .
Step-by-step explanation:
Lets calculate -
Population standard deviation, [tex]\sigma=3.4 inches[/tex]
Margin of error, E = 1
Critical value , [tex]z_0_._0_5 =1.645[/tex]
Now , the size of the sample , [tex]n=(\frac{z\times \sigma}{E} )^2[/tex]
Putting the given values ,
[tex]=(\frac{1.645\times 3.4}{1})^2[/tex]
= 31.28 or 31 .
The given table of the question has been attached here .
Hence , the answer is 31.
Show step-by-step solution. Compute manually.
2. A salary loan of 70,000 pesos is to be repaid by equal monthly payments for 18 months. The annual interest rate is 10% compounded monthly. How much is the monthly payment?
The monthly payment for a salary loan of 70,000 pesos at a 10% annual interest rate compounded monthly for 18 months is approximately 4,530.79 pesos.
To calculate the monthly payment for the salary loan, we can use the formula for the equal payment amount in an amortizing loan:
Payment = (Principal * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-n))
Where:
Principal = 70,000 pesos (loan amount)
Monthly Interest Rate = Annual Interest Rate / 12 = 10% / 12 = 0.0083333
n = number of payments (18 months)
Let's calculate the payment amount:
Payment = (70,000 * 0.0083333) / (1 - (1 + 0.0083333)^(-18))
Payment = 4,530.79 pesos
Therefore, the monthly payment for the salary loan is approximately 4,530.79 pesos.
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Why does the moon goes through phases?
A.
The moon rotates around its axis.
B.
The moon revolves around Earth.
C.
Earth rotates around its axis.
D.
Earth revolves around the sun.
It is because the moon revolves around Earth.
Hope it helps you...
You purchase a new flat screen TV for $878.99. You are charged sales tax at a rate of 6%. What is your total balance due when you go to pay for the TV?
Answer:
Sales tax: $52.74
■ Cost/Price before ST: $878.99
■ Total Cost/Price including ST: $931.73
Step-by-step explanation:
Which of the following would be the FIRST step to take when solving the given equation? -11n - 1 = 87
A) Divide both sides of the equation by 11
B) Subtract 11 from both sides of the equation
C) Subtract 1 both sides of the equation
D) Add 1 to both sides of the equation
Answer:
D) Add 1 to both sides of the equation
Step-by-step explanation:
-11n - 1 = 87
-11n = 87 + 1
Kyle is building a model out of cardboard, as shown below. He needs to construct the top and sides of each section of the model but not the bottom. How many surfaces will Kyle need to find the area of in order to determine how much cardboard he will need? A. 17 B. 14 C. 8 D. 3
Answer:
The answer is B
Step-by-step explanation:
Answer: its B i did the quiz lol
Step-by-step explanation:
What is the volume of a sphere with a radius of 60.5 ft, rounded to the nearest tenth
of a cubic foot?
Answer:
If rounded to the nearest tenth of a cubic foot, would be: 927587.2
Step-by-step explanation:
The equation of finding the equation of the volume of a sphere is "4π[tex]\frac{radius^{3} }{3}[/tex]"
If values are inserted in for radius as 60.5, the answer will be 927587.2 when rounded to the nearest tenths.
Hope this helps!
X^2-2(x+5)
Help me PLSSS
Answer:
hope this helpss
Step-by-step explanation:
Answer:
Step-by-step explanation:
if you have to simplify it then distribute -2
x²-2(x+5)=x²-2x-10
if problem is as mentioned by other answerer,then
[tex]\frac{d}{dx} (x^2-2(x+5))=-2\\x^2-2x-10= \int (-2dx)+c\\x^2-2x-10=-2x+c\\x^2=c+10\\x=\pm \sqrt{c+10}[/tex]
Define the following matrix norm for an n x n real matrix B: || B||M. = sup {||Bx|lo : X ER", ||$||20 = 1}. Show that || B||M. = max = max {Bijl {3B41 } 1
The matrix norm for an n x n real matrix B is ||B||M = max{|Bij|}
First, we will prove that ||B||M ≤ max{|Bij|}. Let's assume k is the index that achieves the maximum value, i.e., max{|Bij|} = |Bkj|. Consider the vector x = (0, 0, ..., 0, 1, 0, ..., 0)T, where the 1 is in the k-th position. Then, ||x||2 = 1. Now, let's calculate ||Bx||M:
||Bx||M = sup{||Bx||2 : ||x||2 = 1}
= sup{√((Bx)T(Bx)) : ||x||2 = 1}
= sup{√(xTBTBx) : ||x||2 = 1}
= sup{√(xTBTBx) : ||x||2 = 1, xk = 1}
≤ √((BTB)kk) (using the fact that xTBTBx is a scalar and sup{scalar} = scalar)
= √(|Bkj|²)
= |Bkj|
= max{|Bij|}
Therefore, we have shown that ||B||M ≤ max{|Bij|}.
Now, let's prove the reverse inequality: max{|Bij|} ≤ ||B||M. Consider the vector x = (x1, x2, ..., xn)T, where xi = 1 for the index i that achieves the maximum absolute value of Bij, and xi = 0 for all other indices. Then, ||x||2 = 1. Now, let's calculate ||Bx||M:
||Bx||M = sup{||Bx||2 : ||x||2 = 1}
= sup{√((Bx)T(Bx)) : ||x||2 = 1}
= sup{√(xTBTBx) : ||x||2 = 1}
= sup{√(xTBTBx) : ||x||2 = 1, xi = 1 for some i}
≥ √((BTB)ii) (using the fact that xTBTBx is a scalar and sup{scalar} = scalar)
= sqrt(|Bij|²)
= |Bij|
= max{|Bij|}
Therefore, we have shown that max{|Bij|} ≤ ||B||M.
Combining both inequalities, we conclude that ||B||M = max{|Bij|}.
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Each lap around the track is 400 meters. How many meters does someone run if they run 5 laps?
Answer:
2000 meters
Step-by-step explanation:
400×5=2000
SIGNS. *
If 2(3.8x – 10) - 2 = -1.2x(3 - 6) + 3x, what does
equal?
A5.5
B-5.5
C22
D-22
im not smart enough lol
Does anyone know the answer so this question
Step-by-step explanation:
f(3)= -2*3^2 +3 -5
= -2*9 +3 -5
= 16
what number is b in algebra
Answer:
I could be any number.
But it couldn't just be a 'b' it could be other letters. The letters is just a grown up way of saying a missing number. Its like saying:
10+b=11..
11-b=10..
therefore b=1
Does that make sense
It can also mean in the quadratic formula b
Step-by-step explanation:
In algebra, the variable "b" represents an unknown or variable number.
It is used to denote a quantity that can vary or take on different values. The purpose of using variables in algebraic equations is to generalize mathematical relationships and solve problems with unknown quantities. By assigning the letter "b" to a variable, we can manipulate and solve equations using algebraic operations, such as addition, subtraction, multiplication, and division.
The value of "b" can be determined through various methods, such as solving equations, simplifying expressions, or applying mathematical principles. The flexibility of variables like "b" allows us to solve a wide range of problems and analyze mathematical relationships without relying on specific numerical values.
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A sandwich shop sells sandwiches for $3.50 each, including tax. The shop received a total of $80.50 from the sales of sandwiches one afternoon. Which equation can be used to determine the number of sandwiches, x, sold by the sandwich shop that afternoon? A. 3.50 + x = 80.50 C. 3.50x = 80.50 B. 3.50 + 80.50 = x D. 3.50 ÷ x = 80.50
let and be two integers with 0≤<≤100 . suppose you approximate (≤100≤) by ∑=−11! . what is the largest possible error you could make?
The largest possible error you could make in the given approximation is [tex]1 / (10^11 * 11!)[/tex]
To approximate the value of [tex]e^x[/tex] using the series expansion, we can use the formula:
[tex]e^x[/tex] ≈ ∑ [tex](x^n)/n![/tex]
In this case, we have:
x = -1/10
To find the largest possible error in the approximation, we can consider the next term in the series that we are neglecting:
1 / (10^11 * 11!) = [tex]|x^(n+1) / (n+1)!|[/tex]
For the given approximation, n = 10 (since we are using terms up to n = 10).
Substituting the values, we have:
[tex]|Error|[/tex] = [tex]|(-1/10)^(10+1) / (10+1)!|[/tex]
|Error| =[tex]|(-1/10)^11 / 11!|[/tex]
|Error| =[tex]1 / (10^11 * 11!)[/tex]
Since the value of n is fixed at 10, the largest possible error occurs when x is at its maximum value within the given range (0 ≤ x ≤ 100).
In this case, the maximum value of |Error| would be obtained by using the maximum value of x = 100 in the formula.
|Error| = [tex]1 / (10^11 * 11!)[/tex]
Therefore, the largest possible error you could make in the given approximation is [tex]1 / (10^11 * 11!)[/tex].
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If function g is a quadratic function that contains the points (-3,5) and (0,14), which statement is true over the interval [-3,0]?
Your answer for this question is B
The average rate of change of f(x) is less than average rate of change of g(x). Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is given in the table, then the rate of change of the function f(x) will be
Rate of change of f(x) = (-2 + 4.5) / (-2 + 3)
Rate of change of f(x) = 2.5
If function g is a quadratic function that contains the points (-3,5) and (0,14).
Then the rate of change of the function g(x) will be
Rate of change of g(x) = (14 - 5) / (0 + 3)
Rate of change of g(x) = 9/3
Rate of change of g(x) = 3
Thus, the average rate of change of f(x) is less than average rate of change of g(x).
Then the correct option is C.
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Find the volume of the composite shape to the right to the nearest while number
1. Five more than the product of 4 and m a. 4+m+5 b. 4m+5 c.5m+4N
Answer:
b. 4m+5
Step-by-step explanation:
Answer:
Step-by-step explanation:
(b − 7)(b + 3). SOLUTION: 4. (4n + 3)(n + 9). SOLUTION: 5. (8h − 1)(2h − 3) ... (m. 2. − 5m + 4)(m. 2. + 7m − 3). SOLUTION: 28. (x. 2. + 5x − 1)(5x. 2. − 6x + 1) ... The value of x must be greater than 4. If x = 4 ... c. SYMBOLIC For a sum of the form a + b, write an expression for the square of the sum. ... Then, for five days,.
WILL GIVE BRAINLIEST PLEASE HELP ASAP, BEST ANSWER GETES BRAINLIEST. NOT A SCAM AND ITS NOT CAP WHAT SO EVER
Answer:
A. 60 + x = 90
Step-by-step explanation:
Complementary angles add up to 90 degrees so
60 + x = 90
Answer:
The answer is A: 60 + x = 90
Step-by-step explanation:
Complimentary angles are two angles that add up to 90, so the equation 60 + x = 90 is what you need to use to find the complimentary angle. I hope this helps :)
Find the Median of the following set of data. (Round to the
nearest tenths place.)
1,1,3,0, 7, 2,0, 3, 1, 6, 8, 1
PLEASE HELP ASAP
Answer:
12
Step-by-step explanation:
put the numbers in least to greatest. so that would be 0,0,1,1,1,1,2,3,3,6,7,8, then find the one or two. in this case it is two. the medians in the one in the middle
10-3(x+9-10x)
Whats the answer
HURRY HELP ASAPPP Question 23 of 25
If WXYZ is a square, which statements must be true? Check all that apply.
A. WXYZ is a trapezoid.
B. Wis a right angle.
C. WXYZ is a rhombus.
D. WXXY
E. WXYZ is a rectangle.
OF. WXYZ
WX is perpendicular to XY, W is congruent to X, W is supplementary to X, WXYZ is a rhombus, and WX is parallel to YZ and this can be determined by using the properties of a square.
What is quadrilateral?A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
Given that, WXYZ is square.
The properties of a square are given below:
All sides are equal in length.
The two consecutive sides are perpendicular.
Opposite sides are parallel to each other.
All the interior angles are 90 degrees.
The diagonals bisect one another.
The area of the square whose sides are 'a' is .
The perimeter of the square whose sides are 'a' is 4a.
Diagonal are equal.
Therefore, the correct statements about the square WXYZ are A), B), C), D), and F).
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Preventive medicine services are based on which of the following criteria?
A) Documentation of history, physical examination, and
medical decision making.
B) Age of the patient
C) Amount of time spent with the patient
D) The final diagnosis for the visit
Preventive medicine services are primarily based on documentation of history, physical examination, and medical decision making.
The correct answer is A) Documentation of history, physical examination, and medical decision making. Preventive medicine services focus on preventing or identifying potential health issues before they become more serious. To determine the appropriate preventive measures, healthcare professionals assess various factors. Among these, documentation of the patient's medical history is crucial to understand their individual health risks and needs.
Physical examination allows for a comprehensive assessment of the patient's current health status, identifying any existing conditions or potential areas of concern. Medical decision making refers to the process by which healthcare providers use the gathered information to determine appropriate preventive measures and interventions. Factors like the patient's age, time spent with the patient, and the final diagnosis may be relevant to specific aspects of healthcare but are not the primary criteria for preventive medicine services.
The focus lies on comprehensive documentation and medical decision making to promote and maintain optimal health.
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I need help please help me asp
New Mexico is the correct option with coordinates (-2.5,-1).
To find the midpoint between two points in the Cartesian plane, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) are given by:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2).
Here's a step-by-step process to find the midpoint:
1. Identify the coordinates of the two points you want to find the midpoint between. Let's say the coordinates are (x₁, y₁) and (x₂, y₂).
2. Add the x-coordinates of the two points together: x = x₁ + x₂.
3. Divide the sum by 2 to find the x-coordinate of the midpoint: x = x / 2.
4. Add the y-coordinates of the two points together: y = y₁ + y₂.
5. Divide the sum by 2 to find the y-coordinate of the midpoint: y = y / 2.
6. The coordinates (x, y) obtained from steps 3 and 5 represent the midpoint between the two given points.
In the given questions, we need to find the mid-point of Fairfield(-10,1) & Montgomery, Alabama(5,-3).
Let the point be N, N = ((-10 + 5) / 2, (1 + (-3)) / 2).
N = (-2.5,-1)
Therefore, From the given options ,the point where we stop is New Mexico marked at (-2.5,-1).
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