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?

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.

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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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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Answer:

The answer is B

Step-by-step explanation:

Answer: its B i did the quiz lol

Step-by-step explanation:

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,.

Answer:

2000 meters

Step-by-step explanation:

400×5=2000

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.

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.

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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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]

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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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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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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Step-by-step explanation:

f(3)= -2*3^2 +3 -5

= -2*9 +3 -5

= 16

im not smart enough lol

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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Answer:

24 inches

Step-by-step explanation:

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

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

It is because the moon revolves around Earth.

Hope it helps you...

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 :)

(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.

Answer:

D) Add 1 to both sides of the equation

Step-by-step explanation:

-11n - 1 = 87

-11n = 87 + 1

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.

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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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!

Answer:

Sales tax: $52.74

■ Cost/Price before ST: $878.99

■ Total Cost/Price including ST: $931.73

Step-by-step explanation: