In a group of 62 lung-cancer patients, 56 are current or former smokers. What is the probability a patient will be a non-smoker? What is the probability of drawing two patients' charts at random (and without replacement) and getting a non-smoker, and then another non-smoker?

The length of AB, given that OC is perpendicular to AB is B. 13.4 units.

In a circle the length of the chord is bisected by the perpendicular joining the center. This chord is divided into two parts by the circle's chords' perpendicular distances from the circle's center.

We can therefore see that OC bisects Ab which means that AC is equal to CB.

Since AC is 6. 7 units, the value of AB would be:

= 6. 7 + 6. 7

= 13. 4 units

In conclusion, the value of AB would be 13. 4 units.

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The closest option to the calculated net present value is d. $(15,542).

To calculate the net present value (NPV) of the project, we need to discount the annual cash flows to their present value and subtract the initial investment.

Using the formula for the present value of a cash flow:

PV = CF / (1 + r)^n

Where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

For the given data:

Initial investment = $380,000

Annual cash flow = $133,000 per year

Expected life of the project = 4 years

Discount rate = 13%

Calculating the present value of the annual cash flows:

PV = $133,000 / (1 + 0.13)^1 + $133,000 / (1 + 0.13)^2 + $133,000 / (1 + 0.13)^3 + $133,000 / (1 + 0.13)^4

PV ≈ $133,000 / 1.13 + $133,000 / 1.28 + $133,000 / 1.45 + $133,000 / 1.64

PV ≈ $117,699 + $104,687 + $91,724 + $81,098

PV ≈ $395,208

Finally, calculating the net present value:

NPV = PV - Initial investment

NPV ≈ $395,208 - $380,000

NPV ≈ $15,208

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The required solution is 24.4 to the given numerical expression 8.54 ÷ 0.35.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

The numerical expression is given in the question as:

8.54 ÷ 0.35

We have to determine the solution to the given expression

As per the question,

8.54 ÷ 0.35

8.54 / 0.35

(854/100) / (35/100)

Reciprocal the terms of numerator

854/100 × 100/35

854/35

Apply the division operation to get the solution

24.4

Thus, the required solution is 24.4 to the given numerical expression.

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Answer:

12m + 9

Step-by-step explanation:

3(5m) is 15m

3(3) is 9

which makes 15m + 9

then 15m - 3m is 12m

Answer:

12m+9

Step-by-step explanation:

You first need to distributive the 3 into the parentheses:

3(5m +3) - 3m

15m + 9 - 3m

Next, you need to combine like terms:

15m + 9 - 3m

12m + 9

So the correct answer is 12m + 9. Hope this helps!

Answer:

1. B

2. A

Step-by-step explanation:

1. Here, the figure is reflected over the line depicted. This answer is correct.

2. Here the image shifts down and across, making it a glide.

Answer: I’m pretty sure they are similar because they have the same interior degree.

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

3.50x12 = 42

Answer:

cccccccccccccccccccccccccccccc c

The difference between the amount of paper within the waste stream before and after composting or recycling is 11.2%.

The waste stream is the entire life cycle of the garbage produced by people, from its source through to disposal, recovery, or recycling. Waste streams can be divided into two categories: material-related (such as paper, metals, plastics, and wood) and product-related (such as packaging).

Generally, paper (and paperboard) represent a big portion of the solid waste stream. In 2012, EPA noted that paper and paperboard products accounted for around 27% of all materials in the waste stream. To reduce the amount of the waste stream, the best thing you can do is to recycle and compost whenever possible.

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Answer:

∠ BAC = 32°

Step-by-step explanation:

Supplementary angles sum to 180° , then

∠ BAC = 180 - (18x + 22) = 180 - 18x - 22 = 158 - 18x

Complementary angles sum to 90° , then

∠ BAC = 90 - (9x - 5) = 90 - 9x + 5 = 95 - 9x

Now equate the 2 expressions for ∠ BAC

95 - 9x = 158 - 18x ( add 18x to both sides )

95 + 9x = 158 ( subtract 95 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Substitute into either of the 2 expressions for ∠ BAC

∠ BAC = 95 - 9x = 95 - 9(7) = 95 - 63 = 32°

Answer:

The data is skewed left with an outlier.

Explanation:

Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.

Some common functions that may be used to represent the number of employees and the duration of a task include linear functions, exponential functions, and polynomial functions.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

A function represents a relation between two variables by defining a set of input values (the domain of the function) and a corresponding set of output values (the range of the function). The input values are usually represented by a single variable (such as x), and the output values are represented by a different variable (such as y).

It is not possible to accurately determine which function should be used to represent the number of employees and the number of days without more information about the task and the factors that may influence the number of employees and the duration of the task. There are many different functions that could potentially be used to model this type of data, depending on the specifics of the task and the relationships between the variables. Some common functions that may be used to represent the number of employees and the duration of a task include linear functions, exponential functions, and polynomial functions.

To determine the most appropriate function to use, you would need to consider factors such as the nature of the task, the resources available to complete the task, and any constraints or limitations that may affect the number of employees or the duration of the task.

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Answer:

there will be eight rows

Answer:

35 inches

Step-by-step explanation:

Regular, means that all the sides of the pentagon are the same, so you can multiply 21 * 5/3 = 35

Answer:

30°

Step-by-step explanation:

Since the folded paper can fit into the slide three times, we simply have to multiply 10° by 3:

10° * 3 = 30°

The angle of the slide is 30°

Answer: -2/5x

Step-by-step explanation:

That is the slope

Y = mx + b says that

y = -2/5x + 7

There's your answer. Hope this helps.

Answer:

? ≈ 11.96

Step-by-step explanation:

using the Sine rule in the triangle

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\)

where a is the side opposite ∠ A and b the side opposite ∠ B

here a = 8, ∠ A = 40° , b = ? , ∠ B = 106° , then

\(\frac{8}{sin40}\) = \(\frac{?}{sin106}\) ( cross- multiply )

? × sin40° = 8 × sin106° ( divide both sides by sin40° )

? = \(\frac{8sin106}{sin40}\) ≈ 11.96 ( to the nearest hundredth )

The translation transformation of the parent function in the graph, indicates that the equation for each of the specified graphs, using the form y = f(x - h) + k, are;

a. y = f(x) + 3

b. y = f(x - 3)

c. y = f(x - 1) + 2

A transformation of a function is a function that takes a specified function or graph and modifies them into another function or graph.

The points on the graph of the specified function f(x) in the diagram are; (0, 0), (1.5, 1), (-1.5, -1)

The graph is the graph of a periodic function, with an amplitude of (1 - (-1))/2 = 1, and a period of about 4.5

Therefore, we get;

a. The graph in part a consists of the parent function shifted up three units. The transformation that can be represented by the vertical shift of a function f(x) is; f(x) + a or f(x) - a

Therefore, the translation of the graph of the parent function is; f(x) + 3

b. The graph of the parent function in the graph in part b is shifted to the right two units, and the vertical translation is zero units, down or up.

The translation of the graph of a function by h units to the right or left can be indicated by an subtraction or addition of h units to the value of the input variable, therefore, the translation of the function in the graph of b is; y = f(x - 3) + 0 = f(x - 3)

c. The translation of the graph in part c are;

A vertical translation 2 units upwards

A horizontal translation 1 unit to the right

The equation representing the graph in part c is therefore; y = f(x - 1) + 2

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Answer:

He will need exactly 3 cans of paint.

Step-by-step explanation:

You multiply 24 by 24, and you get 576, then you divide 576 by 192 and you get exactly 3.

Hope this helps!

Answer:

yyyyyyyyeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet

Step-by-step explanation:

Answer:

0.0045%

Step-by-step explanation:

0.0045 is not a fraction so it is a decimal already.

Answer:

0.000045

Step-by-step explanation:

good luck!

what is the length of TV screen if the width 25inches and the diagonal is 50 inches

The given equation of parabola:

The general equation of Parabola is:

On comparing the general equation with the given equation we get:

a = 1, b = 12 and c = 40

So, the x -coordinate of vertex is : x = -12/2(1)

x = -6

Substitute the value of x = -6 in the expression of Parabola to find the value of y -coordinate

So,

The value of y-coordinate is 4

So, Vertex of parabola (x, y) : (-6, 4)

Answer: coordinates of vertex: (-6,4)

Answer:

5x+8

Step-by-step explanation:

The from is the key word

That means the second term is first

6x^2 -2x +6 - (6x^2 -7x -2)

Distribute the minus sign

6x^2 -2x +6 - 6x^2 +7x +2

Combine like terms

5x+8

Answer:

M=8

Step-by-step explanation:

SOLUTION

To find the percentage increase, we need to know the percentage change

Recall that

Where

Substitute into the formula above, we have

After simplification, we have

Therefore

The percentage increase is 10%

The mass of the second box is 4.00 kg.

We can use conservation of momentum to solve this problem. The total momentum before the collision is:

P_before = m₁ × v₁ + m₂ × v₂

where m₁ and v₁ are the mass and velocity of the first box, and m₂ and v₂ are the mass and velocity of the second box. Since the first box is moving west and the second box is moving east, we need to use opposite signs for their velocities:

P_before = 3.00 kg × (-2.00 m/s) + m₂ × 1.50 m/s

Simplify this equation, we get:

P_before = -6.00 kg m/s + 1.50 m/s × m₂

After the collision, both boxes come to a stop, so their final velocities are zero. The total momentum after the collision is therefore:

P_after = 0

By conservation of momentum, the total momentum before the collision must equal the total momentum after the collision:

P_before = P_after

-6.00 kg m/s + 1.50 m/s × m₂ = 0

Solving for m₂, we get:

m₂ = 4.00 kg

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The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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The side of the square equals half the minor axis of the ellipse.

To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.

Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.

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