A farmer bought a total of 100 sheep and ostriches at an auction. If there were 342 legs in total, how many ostriches did he buy?

To describe the typical quiz scores of the students, a common measure used is the mean, or average, score. The mean is calculated by summing up all the scores and dividing by the total number of scores.

Given its simplicity and simplicity in interpretation, the mean was chosen as a proxy for normal quiz scores. It offers a solitary figure that encapsulates the scores' median. We can figure out the pupils' overall performance on the quiz scores by computing the mean.

It's crucial to keep in mind, though, that outliers or extremely high scores dividing might have an impact on the mean. The mean may not be an accurate representation of the normal results of the majority of students if there are a few students who severely underperform or do very well on the quizzes.

To get a more thorough picture of the distribution of quiz results in such circumstances, it might be beneficial to take into account additional metrics like the median or mode.

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The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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Using the Riemann sum method with R-rule rectangles, we can approximate the integral of (4x + 5) dx over a given interval. The area under the curve can be obtained by dividing the interval into subintervals, using the right endpoint of each subinterval as the height of the rectangle, and summing up the areas of all the rectangles.

To evaluate the integral ∫(4x + 5) dx using the Riemann sum method with R-rule rectangles, we divide the interval of integration into subintervals. Let's assume we divide the interval [a, b] into n equal subintervals, where Δx = (b - a) / n represents the width of each subinterval.

Using the R-rule, we take the right endpoint of each subinterval as the height of the corresponding rectangle. Thus, for the its subinterval, the height of the rectangle is given by the function (4x + 5) evaluated at the right endpoint, which is a + iΔx.

The Riemann sum can be expressed as:

R = Σ(4(a + iΔx) + 5)Δx, where the summation is taken over i = 1 to n.

To obtain a more accurate approximation, we take the limit as n approaches infinity, making Δx infinitesimally small. This limit gives us the exact value of the integral.

In this case, the integral of (4x + 5) dx using the Riemann sum method with R-rule rectangles would be the limit of the Riemann sum as n approaches infinity. The final result would provide the area under the curve and would be given in square units.

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Jayden needs no fewer than 90 tiles to cover the entire floor of his bathroom during the renovation. This means that he needs at least 90 tiles to complete the project.

It is important for Jayden to accurately measure the size of his bathroom floor and calculate the number of tiles he will need to ensure that he has enough to cover the entire area. If he does not have enough tiles, he may need to purchase additional tiles to complete the project. It is also important for Jayden to consider the size and shape of the tiles he will be using, as this will impact the number of tiles he will need to cover the floor. By accurately measuring and calculating the number of tiles needed, Jayden can ensure that he has enough materials to complete the renovation of his bathroom floor.

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Answer:

c, 24 by 12 rectangle

Step-by-step explanation:

Answer:

3/5, 1/2

Step-by-step explanation:

u(1) = 4 (given)

               3            3

u(2) = ----------- = -------      where u(1) = 4 and u(1) + 1 = 5

           4 + 1          5

             3

u(3) = -------- = 3/6 = 1/2

           5+1

Answer:

The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The equation is:

After solving:

(x + 9)³ = 4096

x + 9 = ∛4096

x + 9 = 16

x = 7

Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

Answer:

The values that are solutions to K-3 >-2 are -7 and -5. To solve this inequality, we need to isolate the K term on one side of the inequality. We can do this by subtracting 3 from both sides of the inequality, like this:

K - 3 > -2

K - 3 - 3 > -2 - 3

K > -5

Therefore, the solutions to the inequality K-3 >-2 are all values of K that are greater than -5. This means that the values -7 and -5 are solutions to the inequality, but the other values listed are not.

Step-by-step explanation:

Answer:

y=\(\frac{400}{x}\)

Step-by-step explanation:

Answer: 400/x (over x} = Y {amount on each cookie}

Step-by-step explanation:

In the given expression y - 2x + 7  y and x are the variables, -2 is the coefficient of x and 1 is the coefficient of y and 7 is the constant.

What is a coefficient ?

Any component of a product that is taken into account in relation to another component, particularly a constant component of a term as opposed to a variable.

What is an a variable?

Any qualities, quantity, or number that can be gauged or counted qualifies as a variable. A variable may alternatively be called a data piece. Examples of variables include age, sex, business income and expenses, country of birth, capital expenditures, class grades, eye color, and vehicle type.

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Answer:

The slope is still -3x. (-3)

Step-by-step explanation:

If a line is parallel to another line, all that's different about it is the location including the y intercept. This means the slope stays the same.

The probability that X, which follows a normal distribution with a mean (u) of 15.2 and a standard deviation (a) of 0.9, falls between 14.3 and 16.1 is approximately 0.6826, or 68.26%.

In a normal distribution, the area under the curve represents probabilities. To find the probability that X falls between 14.3 and 16.1, we need to calculate the area under the curve between these two values.

First, we convert the values to z-scores by subtracting the mean and dividing by the standard deviation. For 14.3, the z-score is (14.3 - 15.2) / 0.9 = -1. The z-score for 16.1 is (16.1 - 15.2) / 0.9 = 1.

Using a standard normal distribution table or a calculator, we can find that the cumulative probability for a z-score of -1 is 0.1587, and the cumulative probability for a z-score of 1 is 0.8413.

To find the probability between these two z-scores, we subtract the cumulative probability for the lower z-score from the cumulative probability for the higher z-score: 0.8413 - 0.1587 = 0.6826.

Therefore, the probability that X falls between 14.3 and 16.1 is approximately 0.6826, or 68.26%.

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The complete question is :

Assume that X has a normal distribution. The mean is u= 15.2 and the standard deviation is a=0.9. Find the probability that X is between 14.3 and 16.1

Answer:

(c) is correct.

Step-by-step explanation:

When two lines cross each other, the angles opposite to each other are called vertically opposite angles. They are always equal.

In this given figure,

Line TW and RU cross each other at Q, it means

\(\angle RQW=\angle TQU\) (vertically opposite angles)

Hence, the correct option is (c).

By using the given pair of values we can see that the constant of proportionality is 8, and the proportional relation is:

y = 8*x

A proportional relation is a linear relation with an y-intercept of 0, so these are written as:

y = a*x

Where a is the constant of proportionality.

By knowing a pair of values x and y, we can find the value of a. In this case we can see that when x = 3, y = 24, replacing that in the general equation we get:

24 = a*3

24/3 = a = 8

Then the constant of proportionality is 8, and the proportional relation is:

y = 8*x

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Answer:

100, 258, 315,465

Step-by-step explanation:

this is the a answer I know it

The initial price of eggs is $0.89 which is then increased to $0.99, so the percentage increase in the price is 11.23%.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given data in the question,

The price of dozen eggs = $0.89

The price increase by June = $0.99

The percentage increase in the price,

% increase = (0.99 - 0.89)/0.89 × 100

% increase = 11.2%

Therefore, the increase is 11.2%.

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The equation which represents the relationship between 'h' the number of hours, and c, the total cost is y = 250x+850.

A straight line equation is a mathematical equation that describes the relationship between the coordinate points on that straight line. It can be written in several ways and indicates the slope, x-intercept, & y-intercept of a line.

Now, as per the given question;

The attorney charges price for an initial meeting = $850.

And, the charges for each hour is = $250.

Thus, the equation which shows the given situation is-

y = 250x + 850.

In which, 250 is the value of the slope 'm'.

The y- intercept is shown by 850.

Thus, the total cost will be found out by equation  y = 250x+850.

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Answer:

Step-by-step explanation:

a.Scale factor = distance on the plot / actual distance

b.3 feet = 12 inchs.

so scale factor = 5/12

a) The system of inequalities that can be used to represent the situation is x + y ≤ 15 and 4x + 8y ≥ 80

b) One combination of hours that will allow Edith to earn at least $80 per week while working no more than 15 hours is 10 hours babysitting and 5 hours as a library assistant.

To start, we know that Edith can work no more than 15 hours per week. Therefore, we can write the following inequality:

x + y ≤ 15

Next, we know that Edith earns $4 per hour babysitting and $8 per hour as a library assistant. We want her to earn at least $80 per week, so we can write the following inequality:

4x + 8y ≥ 80

This inequality states that the total amount Edith earns from both jobs (4x + 8y) must be greater than or equal to $80.

Now that we have two inequalities, we have a system of inequalities that can be used to represent the situation:

x + y ≤ 15

4x + 8y ≥ 80

To determine one combination of hours that will allow Edith to earn at least $80 per week while working no more than 15 hours, we can solve this system of inequalities.

Let's solve the first inequality for y:

y ≤ 15 - x

Now we can substitute this expression for y into the second inequality:

4x + 8(15 - x) ≥ 80

Simplifying and solving for x, we get:

-4x + 120 ≥ 80

-4x ≥ -40

x ≤ 10

To find the number of hours she should work as a library assistant, we can substitute x = 10 into our expression for y:

y ≤ 15 - x

y ≤ 15 - 10

y ≤ 5

So Edith should work no more than 5 hours as a library assistant per week.

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The rules and nature of translations of a figure are discussed below.

Given is the transformation of graph using translation.

        (x ± k, y ± m)

Therefore, the rules and nature of translations of a figure are discussed above.

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thanks, this is a answer (:

Step-by-step explanation:

-4

4

and those are the only ones i know

The critical angle between these two materials does not exist.

The critical angle θc is given by the equation sin θc = nB/na, where na and nB are the refractive indices of the two materials. Substituting na = 1.65 and nB = 2.12 into this equation, we get sin θc = 2.12/1.65 = 1.2848. However, since the sine function is only defined between -1 and 1, this means there is no real value of θc that satisfies this equation. Therefore, the critical angle between these two materials does not exist.

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The break-even point for the given equation c = 15n + 269,000  , r = 95n  representing cost and revenue is equal to Option c. 3363units ( round up to nearest whole unit ).

As given in the question,

Cost equation is represented by :

c = 15n + 269,000

Revenue equation is given by ;

r = 95n

For the break-even point the cost is always equal to the revenue as there is no profit no loss.

c = r

15n + 269,000 = 95n

⇒ 95n - 15n = 269,000

⇒ 80n = 269,000

⇒ n = 269,000 / 80

⇒ n = 3362.5

⇒ n = 3363 units ( round up to nearest whole unit )

Therefore, the break-even point for the given cost and revenue is equal to Option c.  3363units ( round up to nearest whole unit ).

The above question is incomplete , the complete question is:

Find the break-even point for the given cost and revenue equations. round to the nearest whole unit. c = 15n + 269,000  , r = 95n

a. 80                          c. 3363        

b. 2445                      d. 110

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Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Therefore, the annualized return for the entire period is 6.77%.

An annualized return is the return of an investment, which is compounded over one year. It is calculated to provide investors with an idea of how much they are earning yearly, and how the rate of return is compared to other investments, or to a particular benchmark. An annualized return is useful in determining the true return on an investment, since investments can fluctuate over time, and sometimes they experience ups and downs.

According to the information given in the problem, the returns from an investment are: 4% in Year 1, 7% in Year 2, and 11.8% in the first half of Year 3.The total period is two and a half years.

To calculate the annualized return, the following formula is used:

Annualized return = (1+ Total Percentage Rate of Return)^(1/Total Number of Years) - 1The percentage rate of return is calculated as follows:

Year 1 return = 4/100

= 0.04

Year 2 return = 7/100

= 0.07

Year 3 (first half) return = 11.8/200
= 0.059

The total percentage rate of return is given by adding these percentage rates of return:

Total percentage rate of return = 0.04 + 0.07 + 0.059

= 0.169

The number of years for the investment is two and a half years.

Thus, the total number of years is 2.5/1 = 2.5.

Now, substituting the values in the formula of annualized return, we get:

Annualized return = (1 + 0.169)^(1/2.5) - 1

Annualized return = 6.77%.

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Given the box-and-whisker plot, the employees that took a break longer than 49 minutes are about 7.

For a data distribution, the minimum value, lower quartile, median, upper quartile, and the maximum value is displayed by a box-and-whisker plot.

In the box-and-whisker plot given, those who took break longer than 49 minutes lie on the upper quartile (75th percentile).

This means that 25% of the employees took longer than 49 minutes.

Thus:

25/100 × 27 = 6.75 ≈ 7 employees.

Therefore, given the box-and-whisker plot, the employees that took a break longer than 49 minutes are about 7.

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Answer:

It would take 9 years for the population to fall below 10000.