what is the probability that a randomly selected patient is 0-12 years old given that the patient suffers from knee pain?

However, if we assume that the election cycle follows the typical pattern, where one-third of the Senate is up for reelection, then the probability would be approximately 1/3 or 0.333 as a fraction.

The probability that a randomly selected senator is up for reelection in November 2014 depends on the specific year and election cycle in question. In general, the term length for a U.S. senator is six years, and approximately one-third of the Senate is up for reelection every two years.

Therefore, the probability that a randomly selected senator is up for reelection in November 2014 would depend on the number of senators whose terms expire in that election cycle. Without additional information, it is not possible to determine this probability.

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The percentage for the markup for the wheelbarrow is 40%.

It is important to note that the percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100

In this case, the retailer sells wheelbarrows for $21 that were acquired at a cost of $15. The markup will be:

= Selling price - Cost price

= $21 - $15

= $6

Markup percentage will be:

= Markup / Cost price × 100

= \(\frac{6}{15}\)× 100%

=0.4*100%

= 40%

Therefore, the percentage for the markup is 40%.

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Answer:

Diameter Length: ( About ) 5.4 km; Option B

Step-by-step explanation:

~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~

1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒

radius = ( About ) 2.7

2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km

Diameter Length: ( About ) 5.4 km

Answer:

$73

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

We will need to eliminate the value of x to solve for y. If you want to solve for x first, do not eliminate it. Eliminate the 'y' variable. Once either variable is eliminated, it will be very easy to solve. Please check out my solution to learn more.

My solution:

             3x - y = 4

            -3x + y = -4

Hence, the correct step is "subtract to eliminate x".

Hoped this helped.

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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The solution to this equation –3x + 1 + 10x = x + 4 include the following: A. x = 1/2.

In order to create a list of steps and determine the solution to the equation, we would have to rearrange the variables and constants, and then collect like terms as follows;

–3x + 1 + 10x = x + 4

-3x + 10x - x = 4 - 1

6x = 3

By dividing both sides of the equation by 6, we have the following:

6x = 3

x = 3/6

x = 1/2

In conclusion, we can reasonably infer and logically deduce that solution to this equation –3x + 1 + 10x = x + 4 is 1/2 or 0.5.

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Complete Question:

Solve the equation.

–3x + 1 + 10x = x + 4

x = 1/2

x = 5/6

x = 12

x = 18

Therefore , the solution of the given problem of unitary method comes out to be the likelihood of choosing a student who is 15 is 0.2 or 20%.

The task may be completed using this well-known simplicity, extant variables, and any essential components from the first Diocesan customised query. As a result, you might get another opportunity for employing the item. If not, significant  event effects in algorithmic knowledge will disappear.

Here,

There are 30 students in the sample as a whole. Six of them had a minimum age of fifteen.

You may determine the relative frequency of choosing a 15-year-old student by dividing the sample's total number of students by the proportion of 15-year-olds:

=> Relative frequency of students aged 15 = (Number of students aged 15) / (Total number of students)

Thus, the likelihood of choosing a student who is 15 is as follows:

=> 6 / 30 = 0.2

As a result, the likelihood of choosing a student who is 15 is 0.2 or 20%.

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In this equation, x will be 0.

In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities. Based on the degree, there are three different sorts of equations. Equations that are linear, quadratic, and cubic. In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance. Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations.

Given data

10+5x= 2+5x+1

Solving for x,

10+5x= 2+5x+1

5x - 5x = 1+2 - 10

x = 0

In this equation, x will be 0.

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Step-by-step explanation:

really ? there is nothing to solve. only to calculate.

you have no calculator ? even the included apps on every computer system can do that.

that is a waste of both of our time.

24 + 19 - 5 = ?

I am sure you can figure that out.

Answer:

0.75

Step-by-step explanation:

because 9/12 is 0.75

Let's establish what this rate indicates through an equation:

inches burned

       hour

Now, plug in the information you have:

inches burned      =          9

       hour                          12

9/12 = 0.75

0.75 inches of the candle is burned per hour

Answer:

47 degrees

Step-by-step explanation:

This is a parallel line, and this sort of angle is known as an alternate angle, which is a z shaped angle (can be a Z either way). Alternate angles are equal, therefore x=47 degrees too. Hope this helps :)

We have the height of the rectangle equal to h = 37.5 inches.

A rectangle is actually about a right triangle. We can use the Pythagorean theorem to generate an expression to find the height of the rectangle.

We know that:

\(c^2=a^2+b^2\) so replacing it with the width and length of the rectangle, we get :

\(c^2=h^2+w^2\)

We were not given values for the width and length, just their relationship to each other, and we can use that to find an equation in the variable h:

So, \(c^2=h^2+w^2\)

\((56)^2=h^2+(h+4)^2\)

\(3136=h^2+h^2+8h+16\)

\(0=2h^2+8h+16-3136\)

\(0=2h^2+8h-3,120\)

Since we cannot factor this, we can use the quadratic formula to solve for the height h, where, a = 2 , b = 8, c = -3,120

h = (-b ±\(\sqrt{b^2-4ac}\)) /2a

Now, Plug all the values:

h = (-8 ± \(\sqrt{8^2-4(2)(-3120)})/4\))

h = -8 ± \(\sqrt{64+24,960}/4\)

h =( -8 ± \(\sqrt{25,024})/4\)

h = (-8 ± 158.180)/4

There are two possible solutions, so we have:

\(h_1=\frac{-8+158.180}{4}\)                      \(h_2=\frac{-8-158.180}{4}\)

\(h_1 = 37.545\)                           \(h_2=-41.545\)  

\(h_1\) ≈ 37.5 in.                          \(h_2\) ≈ -41.5 in.

We cannot use \(h_2\) because a negative height is absurd and undefined. Thus, we have the height of the rectangle equal to h = 37.5 inches.

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answer : (7b+9)(7b-9)

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

A series sum calculator can be found online by searching for "series sum calculator". It is a tool used to calculate the sum of an infinite series.

A series sum calculator is a tool used to calculate the sum of an infinite series. It can be found online by searching for "series sum calculator". The calculator typically requires the user to input the first term of the series, the common difference between the terms, and the number of terms in the series. It then calculates the sum and provides the result. This is useful for calculating the sum of arithmetic and geometric series, as the formula for such series can be complicated and laborious to calculate by hand. The calculator is also helpful for checking the accuracy of calculations done manually. Additionally, it can be used to visualize the relationship between the terms of the series and their sum, making it easier to understand the concept of a series.

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Answer:

10

Step-by-step explanation:

When we round we need a numer which is 5 or more to give the next number a 1 so the 5 gives the nine one, so the answer is 10.

Answer:

$33.60

Step-by-step explanation:

First we take 80% of $40.

1. $40 * 0.80 = $32

Next we take 105% of $32.

2. $32 * 1.05 = $33.60

Answer:Use the quadratic 'Complete the Square' method

Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12

Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.

#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4

(x - 3)^2 + (y -2)^2 = 25

Circle centered at (3,2) with radius = 5

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

To turn a fraction into a decimal you do is divide the numerator by the denominator. It may not always be a whole number. 72 divided by 16 = 4.5 :)

Answer:

in 155 years it would reach 225 thousand deer

Step-by-step explanation:

Answer:

567 ft

Step-by-step explanation:

1 yd = 3 ft

1 yd is to 3 ft as 189 yd is to x ft

1/3 = 189/x

1 × x = 3 × 189

x = 567

567 ft

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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The given function 3(t^4)-19 is thus written using the function rule in notations as: f(t) = 3(t^4)-19 for the input-output machine.

Although equations are frequently used to represent functions, a sequence of equations all beginning with y = may make it difficult to distinguish between different functions.

A function called f is defined by the notation f(x).

The given function 3(t^4)-19 is thus written using the function rule in notations as:

f(t) = 3(t^4)-19.

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The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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