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Question 9 of 12
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Attempt 4
Pesticides on food are regulated and monitored in the United States to ensure intake rates are not hazardous to consumers.
Suppose a sample of produce from a local grocery store is tested for a specific type of synthetic pesticide residue. The table
shows the relative frequency of produce that have a particular level of this pesticide residue, measured in mg/kg.
Pesticide residue in produce
Pesticide residue (mg/kg)
Relative frequency
0.000
0.000- 0.099
0.100--0.199
0.148
0.147
0.200–0.299
0.300-0.399
0.153
0.400–0.499
0.000
0.500-0.599
0.000
n 600 600
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INTL 6:26

There are 56 different ways for the manager to promote one of the 8 equally qualified employees to one of the 3 different positions.

We are required to find the number of different ways there are for a manager to promote one of 8 equally qualified employees to one of 3 different positions.

To solve this problem, we can use the combination formula:

C(n, k) = n! / (k!(n-k)!)

Where C(n, k) represents the number of combinations, n represents the total number of employees (8), and k represents the number of positions available (3).

The steps to calculate the number of ways employees can be chosen for promotion:

1: Calculate the factorials.

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320
3! = 3 × 2 × 1 = 6
(8-3)! = 5! = 5 × 4 × 3 × 2 × 1 = 120

2: Apply the combination formula.

C(8, 3) = 40,320 / (6 × 120) = 40,320 / 720 = 56

So, there are 56 different ways for the manager to promote employees.

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The given scenario presents an auditor who wanted to test credit approval controls on 10,000 sales invoices with a maximum allowable proportion of invoices lacking approval of 7%.

To calculate the allowance for sampling risk, we need to first calculate the sample estimate of the population proportion of invoices lacking approval. We can do this by dividing the number of invoices lacking approval in the sample (7) by the total sample size (200):

Sample proportion = 7/200 = 0.035

Achieved precision limit = Sample proportion + Margin of error

Margin of error = Achieved upper precision limit - Sample proportion = 0.08 - 0.035 = 0.045

Achieved precision limit = 0.035 + 0.045 = 0.08

Allowance for sampling risk = Achieved precision limit - Desired precision limit

The desired precision limit is the maximum allowable proportion of invoices lacking approval, which is 7%:

Desired precision limit = 0.07

Substituting these values into the formula, we get:

Allowance for sampling risk = 0.08 - 0.07 = 0.01

Therefore, the allowance for sampling risk is 0.01, which means that the auditor is willing to accept a 1% risk of assessing control risk too low.

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Answer:

- Yes, They agree

Step-by-step explanation:

Do Rachel and Dylan argree?

- Yes, They agree

Prove your answer using the values of the ratio.

100 of your friends listen to it

- Total Number = 100

Rachel said the ratio of the number of the people who liked the playlist to the number of people who did not like the playlist is 75:25.

The ratio can be simplifies further by diving all through by 25;

75/25  : 25/25

3 : 1

Dylan said that for every three people who liked the playlist, one person did not.

This simplifies to 3 : 1.

Same thing with what rachel said, so they both agree

Note that the Perimeter of the red polygon is 338 in.

The perimeter of a polygon is the total of its sides' measurements. In this question, the polygon is built by taking the tangents from a specified circle.

The idea here is that if we draw two tangents from the same point outside on a given circle, the length of both tangents will always be equal.

There are 8 sides of this polygon , That means there are four pairs because length of them are equal .

So perimeter is equal to two times the sum of four sides given to us .

Perimeter = 2( 22+27+22+98)

Perimeter = 2(169)

Perimeter = 338 in

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Answer:

1/2

Step-by-step explanation:

look at all the numbers then look at only the negatives which are 2 then count the positive ones which are 4 from those numbers you get 2/4 simplify it, and you get 1/2.

There are no perfect cubes between 4^3 = 64 and 5^3 = 125. Therefore, no full m-ary tree with 84 leaves and height 3 exists.

We can show that no full m-ary tree with 84 leaves and height 3 exists as follows:

A full m-ary tree with height 3 has 1 + m + m^2 nodes (including the root). If we let the number of leaves be L, then we have:

L = m^3

Since we want L = 84, we need to find a positive integer m such that m^3 = 84. However, this equation has no integer solutions. To see this, we can note that 84 is not a perfect cube, and we can check that there are no perfect cubes between 4^3 = 64 and 5^3 = 125. Therefore, no full m-ary tree with 84 leaves and height 3 exists.

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The least positive integer that will be divisible by both 15 and 35 will be 105.

The given integers are 15 and 35.
As we know that the least positive integer will be divisible by both 15 and 35 will be LCM ( least common factor) of 15 and 35.
The least common multiple of LCM of two integers is the common multiple of two numbers such that it is the least among all common multiples.
For example, LCM of 3 and 5 will be 15 because among all common multiples of 3 and 5, 15 will be least common multiple.
For LCM of 15 and 35, let's write multiples of both the numbers.
Multiples of 15 = 15,30,45,60,75,90,105,120,135,150,165,180,195,210,....
Multiples of 35= 35,70,105,140,175,210,...
We can see that 105 and 210 are two common multiples out of which 105 is the least multiple.
Therefore, the least positive integer that will be divisible by both 15 and 35 will be 105.

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it is often useful to look at other measures of variability, such as the standard deviation or interquartile range, to get a more complete picture of the data.So, the range of the set is 5

How to solve the question?

The range of a set of numbers is the difference between the highest and lowest values in the set. To find the range of the set {-1, -1, -4, -4, -5, -1, -6, -1}, we need to first find the highest and lowest values in the set.

The highest value in the set is -1, which appears three times. The lowest value in the set is -6. Therefore, the range of the set is:

-1 - (-6) = 5

So, the range of the set is 5.

In general, the range is a useful measure of variability in a set of data. It tells us how spread out the data is, and can give us an idea of the diversity of values in the set. A large range indicates that there are significant differences between the highest and lowest values, while a small range indicates that the values are relatively close together.

It is important to note that the range can be influenced by extreme values, or outliers, in the data. These values can have a disproportionate impact on the range, and may not be representative of the overall pattern in the data. Therefore, it is often useful to look at other measures of variability, such as the standard deviation or interquartile range, to get a more complete picture of the data.

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(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.

A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.

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Answer:

divided by 100

Step-by-step explanation:

8,000 / 100 = 8 in the tens, or 80

The probability that a class of 50 has an average midterm mark that is less than 75 is value=0

Average is the mathematics mean, and is calculated by means of adding a group of numbers and then dividing with the aid of the count of these numbers. for instance, the average of 2, three, three, five, 7, and 10 is 30 divided with the aid of 6, that is five.

The common is described as the implied value that is identical to the ratio of the sum of the number of a given set of values to the whole wide variety of values gift within the set.

There are three primary sorts of common: imply, median, and mode. each of those techniques works slightly differently and frequency effects in barely specific regular values. The suggestion is the maximum normally used average. To get the suggested fee, you add up all of the values and divide this total by using the number of values.

The probability that a class of 50 has an average midterm mark that is less than 75

n = 50

P(<75)=P(Z<75)

P(Z<75−786√50)

P(Z<−3.5355)

We will look for the value in the StandardNormal able. We will get the value=0

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By using the distributive property of subtraction, expression 11x+3y subtracted from 13x+9y is equal to 2x+6y.

The distributive property of subtraction states that when subtracting a value from a sum, the same result can be achieved by subtracting the value from each addend separately and then finding the difference between the two results.

An expression is a combination of numbers, variables, and operators, such as +, -, x, ÷, and parentheses, that represents a mathematical relationship or quantity. It does not contain an equals sign.

According to the given information:

In the given context, the word "from" means to subtract.

So, if we have to subtract 11x+3y from 13x+9y, we can rewrite it as:

(13x+9y) - (11x+3y)

Then, by using the distributive property of subtraction, we can simplify the above expression as follows:

13x+9y - 11x-3y

Now, combining like terms, we get:

2x + 6y

Therefore, 11x+3y subtracted from 13x+9y is equal to 2x+6y.

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Answer:

Those are the answers. hope it helps

Answer:

Width = 160

Length = 110

Step-by-step explanation:

Perimeter is the sum of all the sides

They tell you that the length is 50 m shorter than the width

so L = W - 50

W = W

540 = W + W + W-50 + W-50

540 = 2W + 2(W-50)

540 = 2W + 2W - 100

540 = 4W - 100

640 = 4W

W = 160

L = 160 - 50

L = 110

Answer:

Length: 110 m

Width: 160 m

Step-by-step explanation:

The formula for perimeter of a rectangle is P = 2L + 2W.

We can write the length in terms of width if width is w:

Length: w - 50

Width: w

Plug the values into the formula.

540 = 2(w - 50) + 2w

540 = 2w - 100 + 2w

540 = 4w - 100

640 = 4w

w = 160

find length by subtracting 50 from the width

160-50=110

Therefore, the length is 110 and the width is 160.

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

20.8%

Step-by-step explanation:

250-198=52

52÷250=0.208x100=20.8

hope this helps

have a good day

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

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

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer:

Do you need the fraction form if do its 92/100

Step-by-step explanation:

\( \sin(45) = \frac{x}{5} \\ \frac{1}{ \sqrt{2} } = \frac{x}{5} \\ x = \frac{5}{ \sqrt{2} } = 3.535\)

\( \sin(45) = \frac{y}{5} \\ y = \frac{5}{ \sqrt{2} } = 3.535\)

Answer:

\(\frac{5\sqrt{2} }{2 }\)

Step-by-step explanation:

x=y

45-45-90 equation is x-x- x square root of 2

The real eigenvalues and their algebraic multiplicities for the matrices in Exercises 1 through 13 are as follows: [Exercise 1: λ = 6 + √7 (multiplicity 1), λ = 6 - √7 (multiplicity 1)], [Exercise 2: No real eigenvalues], [Exercise 3: When k ≠ ±2, two distinct real eigenvalues; when k = ±2, no real eigenvalues].

To find the real eigenvalues and their algebraic multiplicities for the given matrix:

```

[5  -4  2  -1]

```

We need to find the eigenvalues by solving the characteristic equation:

```

|5 - λ  -4     2  -1 |

|                  |  = 0

|-4    5 - λ -1    2 |

```

Expanding the determinant, we get:

```

(5 - λ) * ((5 - λ) * 2 - (-4) * (-1)) - (-4) * (-1) * (-4 - (-1)) = 0

```

Simplifying further:

```

(5 - λ) * (10 - 2λ + 4) - 12 = 0

(5 - λ) * (14 - 2λ) - 12 = 0

14(5 - λ) - 2λ(5 - λ) - 12 = 0

70 - 14λ - 10λ + 2λ^2 - 12 = 0

2λ^2 - 24λ + 58 = 0

```

Now, we solve this quadratic equation for λ:

```

λ = (-(-24) ± sqrt((-24)^2 - 4 * 2 * 58)) / (2 * 2)

λ = (24 ± sqrt(576 - 464)) / 4

λ = (24 ± sqrt(112)) / 4

λ = (24 ± 4√7) / 4

λ = 6 ± √7

```

Therefore, the real eigenvalues are λ = 6 + √7 and λ = 6 - √7, each with an algebraic multiplicity of 1.

To find the real eigenvalues and their algebraic multiplicities for the given matrix:

[0  1  0]

[0  0  1]

[1  0  0]

We need to find the eigenvalues by solving the characteristic equation:

```

| -λ  1   0  |

|  0  -λ  1  |  = 0

|  1   0  -λ |

```

Expanding the determinant, we get:

```

(-λ) * (-λ * (-λ) - 1 * 1) + 1 * (1 * (-λ) - 1 * (-λ * (-λ))) = 0

λ^3 + 1 = 0

```

This equation has no real solutions. Therefore, there are no real eigenvalues for this matrix.

For the matrix:

```

[1  k  1  1]

```

To find the values of k that result in two distinct real eigenvalues, we need to determine when the discriminant of the characteristic equation is positive.

The characteristic equation is:

```

|1 - λ  k    1  1 |

|                 |  = 0

|k    1 - λ  1  1 |

```

Expanding the determinant, we get:

```

(1 - λ) * ((1 - λ) - k * 1) - k * (1 - λ - 1) = 0

(1 - λ) * (1 - λ - k) - k * (-λ) = 0

(1 - λ)^2 - (1 - λ)k + kλ = 0

```

Expanding further:

```

1 -

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Answer:

24%

Step-by-step explanation:

60/250=24

Answer:

Hey there, the answer 24% hope this helps!

Step-by-step explanation:

The pedestrian who started in town A walked for 8 hours before the noon meeting, and the pedestrian who started in town B walked for 6 hours before the noon meeting.

Let's call the distance between town A and town B "D".

When the two pedestrians meet at noon, they have together covered a distance of D, which means they each have walked half the distance, or D/2.

Let's say the pedestrian who started in town A arrives at 4 PM, which means they have walked for 4 hours after the noon meeting. We can use the formula distance = rate x time, where rate is the pedestrian's speed, to find how far they have walked before the noon meeting:

distance = rate x time

D/2 = rate x (noon - 4)

D/2 = rate x (-4)

D/2 = -4rate

rate = -D/8

The negative sign indicates that this pedestrian is walking from town A to town B, in the opposite direction from the positive direction we defined earlier. The magnitude of the rate is D/8, meaning this pedestrian covers 1/8th of the distance every hour.

Similarly, we can use the same formula for the pedestrian who started in town B and arrived at 9 PM:

distance = rate x time

D/2 = rate x (9 - noon)

D/2 = rate x 3

D/6 = rate

rate = D/18

This pedestrian is walking from town B to town A, in the positive direction we defined earlier. The magnitude of the rate is D/18, meaning this pedestrian covers 1/18th of the distance every hour.

Now we can calculate how long each pedestrian walked before the noon meeting:

time = distance / rate

For the pedestrian who arrived in town A at 4 PM:

time = D/2 / (-D/8) = -4 hours

For the pedestrian who arrived in town B at 9 PM:

time = D/2 / (D/18) = 9 hours

The negative sign for the pedestrian who arrived in town A indicates that they started walking in the wrong direction, so they actually walked for 4 - (-4) = 8 hours in the correct direction before reaching the noon meeting point. The pedestrian who arrived in town B walked for 9 - 3 = 6 hours in the correct direction before the noon meeting.

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Answer:

1981

Step-by-step explanation:

3÷5,945

1981 for 1/3

Answer:

2

Step-by-step explanation:

To evaluate f(x) when x = - 4, substitute x = - 4 into f(x), that is

f(- 4) = 3(- 4) + 14 = - 12 + 14 = 2

Answer:

Step-by-step explanation:

Answer:

first angle is 95

second angle is 95

third angle is 95

the sum of angle in a quadrilateral is 360

therefore 95+95+95°=285

to get the fourth angle=360-285=75

therefore the fourth angle is 75°

The value of cos A in the triangle is 1 / 9.

The triangle is given as ABC. The side lengths are a, b and c. Therefore, cos A of the triangle can be found using cosine rule as follows:

a² = b² + c² - 2bc cos A

a = 4

b = 3

c = 3

Therefore,

4² = 3² + 3² - 2(3)(3) cos A

16  = 9 + 9 - 18 cos A

16 - 18 = - 18 cos A

-2 = - 18 cos A

divide both sides by - 18

cos A = - 2 / - 18

cos A = 1 / 9

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Answer:

angle(2) = 118 degree

angle(3) = 118 degree

angle(4) = 62 degree

Step-by-step explanation:

To find angle 2 :

\(62 + angle{2} = 180 \\ angle{2} = 180 - 62 = 118 \: degree\)

The rule (head to head):

angle(2) = angle(3) = 118 degree

And the last one is angle(4) which is the same thing:

angle(4) = angle(1) = 62 degree

Answer:

Part A: check B, E and F.

Part B: check E and G.

Step-by-step explanation:

The equation \(y = a(x - b)^2 + c\) is the equation of a parabola written in the vertex form, where the vertex will be (b, c).

So, if the vertex is (2, -1), we have that b = 2 and c = -1

To find the c value, we use the information that the y-intercept is 3, so we have the point (0, 3). Using x = 0 and y = 3, we have:

\(3 = a(0 - 2)^2 - 1\)

\(3 = 4a - 1\)

\(4a = 4\)

\(a = 1\)

So we have a = 1, b = 2 and c = -1.

Part A: check B, E and F.

To find the x-intercepts, we need to find the values of x where y = 0:

\(0 = (x - 2)^2 - 1\)

\(x^2 - 4x + 4 - 1 = 0\)

\(x^2 - 4x + 3 = 0\)

Solving using Bhaskara's formula (a = 1, b = -4 and c = 3), we have:

\(\Delta = b^2 - 4ac = 16 - 12 = 4\)

\(x_1 = (-b + \sqrt{\Delta})/2a = (4 + 2)/2 = 3\)

\(x_2 = (-b - \sqrt{\Delta})/2a = (4 - 2)/2 = 1\)

So the x-intercepts are 1 and 3

Part B: check E and G.