Are these the correct answers? Also, these are from a homework practice

a) There are 700 x 36/100 = 252 students who use public transport.

b) There are 700 - 250 = 450 female students in the school. The percentage of female students in the school is 450/700 x 100% = 64%.

The total number of chickens the farmer owns is 35.

A quantity or proportion can be expressed as a percentage of 100 by using the word "percentage." It is represented by the sign %.

For instance, when we state that 50 percent of a group of people are women, we mean that 50 out of every 100 people in the group are women.

We can deduce here the total chickens the farmer owns in % = 100%

Hens placed in a new coop = 20% = 7

Let the total number of chickens = x

Thus,

7 / x = 20 / 100

To solve for x, we can cross-multiply and simplify:

7 × 100 = 20 × x

700 = 20x

x = 35

Thus, the total number of chickens = 35.

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The statements about the measures of the center that are factual include the following:

A) The mean for Group A is less than the mean for Group B.

B) The median for Group A is less than the median for Group B.

C) The mode for Group A is less than the mode for Group B.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [∑x]/n

Where:

Mean for Group B = (1+1+1+2+2+3+3+3+3+5)/10

Mean for Group B = 2.4

Median for Group B = (3+2)/2 = 2.5.

Mean for Group A = (1+1+1+1+1+2+2+2+2+3)/10

Mean for Group A = 1.6

Median for Group A = (1+2)/2 = 1.5

Therefore, the mean and median for Group A is less than the mean and median for Group B.

In conclusion, all of the other three answer choices are correct since answer option D and E are not factual.

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If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.

Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.

First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:

Social Security tax = $102,000 x 0.062 = $6,324

Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:

Social Security tax = $1,100 x 0.062 = $68.20

Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

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The average speed on the first 30 minutes is 0.2 km per min.

Here we have the graph for the position of a bycicle rider on a 42-minute trip.

On the vertical axis we can see the position, and on the horizontal axis we can see the time.

Remember that:

speed = distance/time.

To find the average speed on the first 30 min, we need to take the quotient between the position after 30 minutes and 30 min.

At 30 min we can see that the position is at 6 km, then the speed will be:

S = 6km/30min = 0.2 km per min.

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The power series representation for function f(x) is; ∑ \((-1)^{n}\) × \(X^{(6n+9)}\) / (2n+1), and the radius of convergence is infinite, R = ∞.

To find a power series representation for the function f(x) = x⁶×arctan(x³), we can use the power series representation for arctan(x);

arctan(x) = ∑ \((-1)^{n}\) × \(X^{(2n+1)}\) / (2n+1)

Substituting x³ for x in this series, we have;

arctan(x³) = ∑ \((-1)^{n}\) × (x³\()^{(2n+1)}\) / (2n+1)

= ∑ \((-1)^{n}\) × \(X^{(6n+3)}\) / (2n+1)

Multiplying this series by x⁶, we get;

x⁶ × arctan(x³) = ∑ \((-1)^{n}\) × \(X^{(6n+9)}\) / (2n+1)

So the power series representation for f(x) is;

f(x) = x⁶ × arctan(x³) = ∑ \((-1)^{n}\) × \(X^{(6n+9)}\) / (2n+1)

To find radius of convergence R, we use the ratio test:

lim |\((-1)^{n}\) × \(X^{(6(n+1)+9)}\) / (2(n+1)+1) × (2n+1) / \((-1)^{n}\) × \(X^{(6n+9)}\)|

n->∞

= lim |x⁶ / (2n+3)|

n->∞

As n approaches infinity, the denominator of the fraction approaches infinity, so the limit is zero for all values of x. Therefore, the power series converges for all values of x, and the radius of convergence is infinite, R = ∞.

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The graph of the linear equation, x = 6, is shown in the image attached below.

The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.

Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.

Thus, the graph of the linear equation, x = 6, is shown in the image attached below.

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Answer:

c

Step-by-step explanation:

Large Tractors Sold at Break Even Point= 26 units

Small Tractors Sold at Break Even Point= 39 units

Break-even point is where sales are equivalent to the sum of all costs incurred by the company. It is a significant concept in accounting as it gives the managers vital information on how many units must be sold to make business operations profitable.

From the question, it was stated that Wagner Enterprises sells for every three small tractors, two large tractors. Therefore, the sales mix will be:

The contribution margin per unit will be computed first, after which we multiply the sales mix by the computed margin per unit to get the Weighted Average Contribution Margin (WACM). This is shown below:

For Large Tractor:

Selling Price per Unit = $62,000

Variable Cost per Unit = $28,520

Contribution Margin per Unit = ($62,000 - $28,520) = #33,480

Multiply by sales-mix of 2/5 = 2/5 times $33,480 = 13,392 (WACM)

For Small Tractor:

Selling Price per Unit = $34,000

Variable Cost per Unit = $16,320

Contribution Margin per Unit = ($34,000 - $16,320) = #17,680

Multiply by sales-mix of 3/5 = 3/5 times $17,680 = 10,608 (WACM)

The Total Weighted Average Contribution Margin per unit is therefore:

$13,392 + $10608, equaling $24,000.

Now we can find the Break-even Point in Unit.

Formula for Break-even Point in Unit = Total Fixed Cost (TFC) divided by Weighted Average Contribution Margin in unit

Total Fixed Costs = $1,560,000

WACM in unit = $24,000

Break-Even Point = \(\frac{1,560,000}{24,000}\) = 65 units

From the calculations, the total units that must be sold to break-even are equivalent to 65 units. Given the above sales mix, the 65 units will be shared thus:

Therefore, 26 units of Large Tractors and 39 units of Small Tractors were sold at Wagner's Enterprise break-even point.

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Answer:

the answer of that would be 6

Answer:

observational study

Step-by-step explanation:

Answer:

(3.5,4)

Step-by-step explanation:

add and divide by 2

(7,8)

(3.5,4)

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The first, second, third, and fourth consecutive even integers must be greater than 10, 12, 14, and 16 respectively.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the four consecutive even integers be n, (n + 2), (n + 4) and (n + 6).

Such that twice the sum of the second and third exceeds 3 times the first by 32.

2{(n + 2) + (n + 4)} > 3(n) + 32.

2n + 4 + 2n + 8 > 3n + 32.

4n - 3n > 32 - 12.

n > 10.

So, the consecutive even numbers must all be greater than 10.

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The exponential decay can be written as:

y = 550mg*(1 - 0.066)^t

A general exponential decay can be written as:

y = A*(1- r)^x

Where A is the initial amount, r is the rate of decay, and x is the variable.

Here we know that we start with a sample of 550 mg, and this sample decays at a rate of 6.6% per year.

Then the amount of sample that we have after t years is given by the exponential decay:

y = 550mg*(1 - 0.066)^t

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Answer:

6

Step-by-step explanation:

75-6=4y+4y+3.5y

or 11.5y=69

or y=69\11.5

     =6

Answer:

- 7.5 y - 4y= 6 - 75

Step-by-step explanation:

= - 11.5y = -69

= y = 6

The length of the longer wire is 82 feet.

Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.

We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.

In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:

cos(θ) = adjacent/hypotenuse = 16/L

Given that cos(θ) = 8/41, we can substitute this value into the equation:

8/41 = 16/L

To solve for L, we can cross-multiply and solve for L:

8L = 41 * 16

L = (41 * 16)/8

L = 82

Therefore, the length of the longer wire is 82 feet.

In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.

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the area of the region of points satisfying the inequalities x ≤ 0, y ≤ 0, and y ≥ |x + 4| − 5 is 12.5 square units.

Answer:

A

Step-by-step explanation:

2p - 5p < 8 + 4

- 3p < 12

-3/-3 p > 12/-3

p  > -4

-2, - 3

Answer:

This is a scalene triangle

The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

Answer:

S = 8

Each side of a face is 8 units.

Step-by-step explanation:

The surface area of the cube is 384 units.

One face of the cube has an area of s^2

A cube has 6 faces

6s^2 = 384                                 Divide by 6

s^2 = 384 / 6

s^2 = 64                                     Take the square root of both sides

sqrt(s^2) = sqrt(64)

s = 8

Answer:

8 units

Step-by-step explanation:

Area of 1 side = 384 ÷ 6 = 64 sq units

Length of 1 side = sq.rt. (64) = 8 units Answer

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Answer:

not the equation of a line of best fit for the data set below? 55. Height (in.) 42. Arm span (in.) 41 43 55 45 52 48 49 49 49 52 53 59 60 45 44 44

Step-by-step explanation:

Answer:

c it is not d !!!!!!!!!!!!!

Step-by-step explanation:

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Answer:

A.

Step-by-step explanation:

The angles are not always congruent as the only way for them to all be congruent is if it were to be a square, and not all parallelograms are squares.

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

The most realistic value for the standard deviation is 15.

Step-by-step explanation:

The standard deviation of a distribution is a measure of dispersion. It is a measure of the spread of the distribution from the mean of the distribution. It expresses how far most of the distribution is from the mean.

Mathematically, the standard deviation is given as the square root of variance. And variance is an average of the squared deviations from the mean.

Mathematically,

Standard deviation = σ = √[Σ(x - xbar)²/N]

x = each variable (ranges from 34 to 99)

xbar = mean = 78

N = number of variables

Now taking the given possible values of the standard deviation one at a time,

-14

The standard deviation cannot be negative as it is a square root of the average of the sum of square deviations from the mean. Since the square of a number cannot be negative, it directly translates that the standard deviation cannot be negative.

3

A small standard deviation like 3 indicates that the distribution mostly centres about the mean, with very little variation. And the distribution given has a mean (78) that is very far away from at least one of the variables in the distribution. Hence, 3 is too low to pass ad the standard deviation of this distribution described.

0

A standard deviation of 0 indicates that all the variables in the distribution have the same value as the mean. That is, the distribution only contains 1 number, probably multiple times. So, this cannot be the standard deviation for the distribution described.

56

This value represents a value that is too high to express the spread of the distribution described. The mean (78) is very close to the maximum value of the distribution, and far away from the lower value(s), indicating that most of the distribution is in and around the upper values with a few variables closer to the lower limit. A standard deviation as high as 56 for a mean of 78 translates to a distribution with most of variables far from the mean, which isn't the case here.

Moreso, a simple add of the standard deviation to the mean or subtracting the standard deviation from the mean should give at least one of the results with values within the distribution.

(Mean) + (Standard deviation) = 78 + 56 = 134 >> 99 (outside distribution)

(Mean) + (Standard deviation) = 78 - 56 = 22 << 34 (also outside the distribution)

15

This is the most realistic value for the standard deviation as it represents what the distribution described above is.

The mean (78) being close to the maximum value of the distribution, and far away from the lower value(s) indicates that most of the distribution is in and around the upper values with a few variables closer to the lower limit.

So, 15 indicates a perfect blend of small deviations due to the high values close to the mean and the very high deviation from the evidently few lower values.

(Mean) + (Standard deviation) = 78 + 15 = 93 < 99 (within distribution)

(Mean) + (Standard deviation) = 78 - 15 = 63 > 34 (also within the distribution)

Hope this Helps!!!

When The most realistic value for the standard deviation is 15.

Step-by-step explanation:

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Answer:

9.1200003464E54

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