use addition properties and strategies to find the sum 13 + 26 + 54=

The probability that a person who tests positive actually has the disease is 0.012%

From the question, we have the following parameters that can be used in our computation:

The probability that a person who tests positive actually has the disease is represented as

Probability = Incidence rate * False positive rate

Substitute the known values in the above equation, so, we have the following representation

Probability = 0.3% * 4%

Evaluate the products

Probability = 0.012%

Hence, the probability is 0.012%

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Answer:

26.16

Step-by-step explanation:

14.66 + 11.5 = 26.16

The total weight of the newspapers that are collected for recycling is given by 26.16 pounds.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here:  Mike collected 14.66 pounds and Felix collected 11.5 pounds.

We know, Addition is used to figure out the total of two or more numbers. Subtraction is used to find the difference between two numbers.

Thus the total pounds of newspaper in the recycling project is given by

W=14.66+11.5

  =26.16 pounds.

Hence, The total weight of the newspapers that are collected for recycling is given by 26.16 pounds.

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So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

Answer:

1

Step-by-step explanation:

The constant of proportionality when the equation is y = ax is a.

There is nothing written there so a is assumed to be 1.

If y = 3.443

Then the constant of proportionality is 3.443, which is the value of a.

The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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Answ  reflection over x axis or a translation

Step-by-step explanation:

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

pumpkin: 5

witch: 10

leaf: 50

bat: 20

ghost: 60

Answer:

Bat: 20

Pumpkin: 5

Ghost: 60

Leaf: 50

Witch: 10

Answer:

if y=60 then x=5

Step-by-step explanation:

im in college Algebra if you need help just ask

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder  = 18mm

radius  = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

 Volume  = π r ² h

Insert the given parameters and solve;

 Volume  = 3.14 x 18² x 18

 Volume  = 18312.5mm³

Answer:

282.6

Step-by-step explanation:

volume= h*(pie*r^2)

3*3=9

9*pie=28.26

10*28.6=282.6

Answer:

12

Step-by-step explanation:

Jim's currect age is x.

In 16 years, JIm will be x + 16.

In 4 years, Jim will be x + 4.

x + 16 = 3x

-2x = -16

x = 8

x + 4 = 8 + 4 = 12

14.81%

Let's consider there are zero students who enrolled nothing (because the question asked the minimum) and x = the amount of students who enrolled both History and English.

x = (14 + 17) - 27

x = 31 - 27

x = 4

Now, we can easily calculate the number of students who enrolled in both History and English by percentage. Let's consider that y = the number of students who enrolled in both History and English by percentage.

y = 4/27

y = 14.81%

The number of students who enrolled in both History and English by percentage is 14.81%

Answer:

f⁻¹(x) is not a function

Step-by-step explanation:

A function can only have one output value per input value. Multiple input values can have the same output value (horizontally), but multiple output values cannot have the same input value (vertically).

For example:

\(f(x)=x^2\\f(-2)=-2^2=4\\f(2)=2^2=4\)

This function has 2 inputs with the same output. That is valid.

However, if you take the inverse of that function:

\(f^{-1}(x)=\sqrt{x}\\f^{-1}(2)=\sqrt{2}=1.414\\f^{-1}(-2)=\sqrt{-2}=\sqrt{2}i\)

f⁻¹(-2) is an imaginary number. It doesn't exist, and so the inverse of f(x) is still a function because there is no vertical overlap. This is shown more clearly in the attached image.

The graph of the inverse of a function is just mirrored over y = x. This is also shown in the attached image. Any horizontal overlap the function may have becomes vertical overlap, and if those values still exist, the function cannot be a function.

In the function in your question, f(x) has some horizontal overlap around x = 0 and x = 8. If this was mirrored over y = x, the function at x = 8 would have 2 outputs, y = 0 and y = 8. As a result, it cannot be a function.

Let me know if I need to explain any part of that more clearly.

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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The calculated value of x at g(x) = 2 is x = 2.5

from the question, we have the following parameters that can be used in our computation:

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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Answer:

4/3 square feet.

Step-by-step explanation:

To find the area of the replica, you need to use a formula that relates the area of the original figure and the area of the dilated figure by the scale factor1. The formula is:

Area of dilated figure = Area of original figure x (Scale factor)^2

In this case, the area of the original artwork is 12 square feet and the scale factor is 1/3. So, we plug these values into the formula and get:

Area of replica = 12 x (1/3)^2

Area of replica = 12 x 1/9

Area of replica = 4/3

So, the area of the replica is 4/3 square feet.

Hope this helps :)

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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Answer:

3x+100

Step-by-step explanation:

Answer:

12x + 6t

Step-by-step explanation:

Since 3 is on the outside of the parentheses, multiply 3 times 4 to get 12 and 3 times 2 to get 6. Then put in the variable

Answer:

The expression would be: 12x + 6t

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

d. (x - 1)(2x + 3)(3x - 4)

Step-by-step explanation:

6x³ - 5x² - 13x + 12

6x³ + x² - 12x - 6x² - x + 12

x(6x² + x - 12) - 1(6x² + x - 12)

(x - 1)(6x² + x - 12)

(x - 1)(6x² + 9x - 8x - 12)

(x - 1)(3x(2x + 3) - 4(2x + 3))

(x - 1)(2x - 3)(3x - 4)

Answer:

( x - 1 )( 2x + 3 )( 3x - 4 )

Step-by-step explanation:

Hope this helps!

a) The definition of the composite function is: \((f \circ g)(x) = \frac{6}{12 + 2x}\)

b) The domain of the composite function is: (-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The functions for this problem are given as follows:

Hence the composite function is obtained as follows:

\((f \circ g)(x) = f(\left\frac{6}{x}\right)\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{6}{x} + 2}\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{12 + 2x}{x}}\)

\((f \circ g)(x) = \frac{6}{12 + 2x}\)

The domain is all real values except x = 0, x = -2 and x = -6, as f(x) is not defined at x = -2 and g(x) is not defined at x = 0 and the composite function is not defined at x = -6, hence the interval notation is:

(-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

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Answer:*

Step-by-step explanation:

Answer:

2.25 ml/hr

Step-by-step explanation:

7 7/8 = 7.875

3 1/2 = 3.5

7.785/3.5 = 2.25

Answer:

The permutation (1234) is not a 3-cycle

Step-by-step explanation:

If you have any further questions let me know:))