What calculation would you need to do to find the number of acres that had been cultivated in that field 12

hours after Carrie started (without finding how much had been done after 11 hours)? Write out the

calculation, and then find the number of acres. Write your answer in a complete sentence

In mathematics, Z means complex number and it is represented as (a+ib) where a is real part and b is the imaginary part.

In mathematics, the number are represented by using some certain notations, like N for all natural number, Z for all complex numbers, R for all real numbers.

Now, here the formula of Z is asked, Z is a combination of two number

Z = a+ib

Where, a is real part, b is the imaginary part and "i" is called the notation Iota that is used with the imaginary part to represent the imaginary part.

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Rounded to the nearest square kilometer, the area of the forest after 5 years will be approximately 1967 km².

In this case, we have:

Initial area of the forest (A₀) = 2400 km²

Annual decrease rate (r) = 3.5% = 3.5/100 = 0.035

We can use the formula for exponential decay to find the area after 5 years:

A = A₀ * (1 - r)^n

Where:

A is the final area after n years,

A₀ is the initial area,

r is the annual decrease rate,

n is the number of years.

Substituting the given values:

A = 2400 km² * (1 - 0.035)^5

Calculating the expression:

A ≈ 2400 km² * (0.965)^5

≈ 2400 km² * 0.8195

≈ 1967.2 km²

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The following is how to determine a worker's percentile score if their completion time is 0.4 standard deviations above the mean. To determine a worker's percentile score, we will use the standard normal distribution table.

The formula for converting an X-value into a Z-score is: X - μ / σ = Z Where: X is the observed value of a variable.μ is the mean of the variable.σ is the standard deviation of the variable. Z is the z-score. To calculate the z-score, we'll use the formula: X - μ / σ = 0.4 standard deviations above the mean Z = (X - μ) / σ = 0.4 .The percentile score of the worker is the proportion of the standard normal distribution below this z-score. Using the standard normal distribution table, we can find the proportion that corresponds to the z-score of 0.4. We look for the value in the table that is closest to 0.4 and locate the proportion in the z-score column. For the value of 0.4, we get 0.6554.The percentile score of the worker is 0.6554 or 65.54 percent. We used the standard normal distribution table to calculate a worker's percentile score. The first step was to convert the observed value of a variable to a z-score using the formula: X - μ / σ = Z  .The worker's completion time was 0.4 standard deviations above the mean. This means that the worker's completion time is greater than the mean by 0.4 times the standard deviation. Using the formula above, we can calculate the z-score. The standard deviation for the worker's completion time was not given, so we used the standard deviation of the distribution. We were not given the mean, so we could not calculate the z-score directly. Instead, we calculated the z-score as follows: Z = (X - μ) / σ = 0.4.  We can use this equation to find the worker's completion time if we know the mean and standard deviation. The standard normal distribution table was used to calculate the worker's percentile score. We looked up the value that was closest to 0.4 in the z-score column. The proportion in the table that corresponds to a z-score of 0.4 is 0.6554 or 65.54%.The percentile score of the worker is 65.54%.The worker's percentile score was 65.54%. A percentile score is the proportion of a distribution that is below a certain point. We used the standard normal distribution table to calculate the proportion that corresponds to the worker's z-score of 0.4.

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The answer is right here

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v

The 390 ml of pure water will you need to add to obtain the desired solution.

It is required to find how much pure water will you need to add to obtain the desired solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

You know that the current solution is 70% alcohol, so the amount of alcohol present is 70% of 520 = 364

Let x be the amount of water to add.  Then the new total amount would be 520 + x.  To arrive at a solution that is 40% alcohol, you would want the amount of alcohol to be 40% of the new total.

So...

364 = .40 * (520 + x)

By simplify we get,

364=208+0.40x

364-208=0.40x

156=0.40x

x=390 ml

we must add 390 ml of water to get the 40% solution.

Therefore, the 390 ml of pure water will you need to add to obtain the desired solution.

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The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.

The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.

The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.

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Answer:

20%Discount price is 14800

Then 5%Discount price of the new price is 14060

14060 is the answer

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Answer:

yehhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Answer:

350

Step-by-step explanation:

14 divided by 0.04 (4% in decimal form) is 350

Answer:

x = 6

y° = 125°

Step-by-step explanation:

9x + 1 and 7x + 13 are alternate angles and has same measurement

9x + 1 = 7x + 13

9x - 7x = 13 - 1

2x = 12

x = 6

y° and 7x + 13 are supplementary angles so their sum is 180°

7x + 13 ➡ 7×6 + 13 = 55°

55 + y° = 180 subtract 55 from both sides

y° = 125°

Answer: 55

Step-by-step explanation:

Answer:

Yes, it is enough to climb.

Step-by-step explanation:

Let suppose that wall is vertical and perpendicular to surface, a right-angled triangle is formed after using the ladder against the wall. (See attachment)

Ladder is useful only if its length is greater than wall length and trigonometrically speaking, the ratio of wall length to ladder length must be less than 1, associated with the definition of sine. That is:

\(\sin \theta = \frac{50\,ft}{51\,ft}\)

\(\sin \theta = 0.980\)

In a nutshell, the 51-foot ladder is useful to clime a 50-foot wall.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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D and B

Explanation:

when you look at that point two lines pass through it and those two lines that pass through it are b and d.

Using one way analysis of variance (ANOVA), we can say that the there is no significant difference in the treatment mean at 5% level of significance.

The one way analysis of variance(ANOVA) is used to compare the mean of more than two groups.

Given below is the data referred in the calculation.

Null hypothesis: There is no significant difference in the three treatment mean.

Alternate hypothesis: there is a significant difference in the three treatment mean.

Calculation:

let \(y_{ij}\) be each observation of \(i^{th}\) treatment and \(j^{th}\) replicate of it.

v be the number of treatment , v = 3

n be the total number of observation, n = 24

SST = sum of square of treatment  = \(\sum_i\sum_j(\bar y_i. - \bar y..)^2\)

TSS = total sum of square = \(\sum_i\sum_j y_{ij}^2 -\frac{(\sum_i\sum_j y_{ij})^2}{n}\)

SSE = sum of square of error = TSS - SST

Based on the data,

SST = \((2.5-4.25)^2+(6-4.25)^2+(4.25-4.25)^2 = 6.125\)

TSS = 595 - 495.0417 = 99.95

SSE = TSS - SST = 93.83

Now,

MST = mean sum of treatment  =  SST/(v-1) = 6.125/2 = 3.0625

MSE = mean sum of error = SSE/(n-v) = 93.83/21 = 4.46

Test statistic, F = MST/MSE ~ F(2,21)

calculated F becomes, F= 3.06/4.46 = 0.685

P value can be calculated using excel function:

=f.dist.rt(0.685, 2, 21) i.e., f.dist.rt(x,df1, df2) = 0.51

Since, p value = 0.51 is greater than 0.05, we fail to reject the null hypothesis at 5% level of significance.

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Answer:since X-W is 5 spaces and X-Y is also 5 spaces, the area would be 25. because area is equal to length x width

Step-by-step explanation:hope this helps brainliest

Answer:

admission price of each parent = $7.5

admission price of each child = $15

Step-by-step explanation:

x = admission price of each parent

y = admission price of each child

Robinson family:

2x + 4y = 75

Moore family:

2x + 3y = 60

2x + 4y = 75 (1)

2x + 3y = 60 (2)

Subtract (2) from (1)

4y - 3y = 75 - 60

y = 15

Substitute y = 15 into (1)

2x + 4y = 75

2x + 4(15) = 75

2x + 60 = 75

2x = 75 - 60

2x = 15

x = 15/2

x = 7.5

Answer:

approximately 4.23 cm

Answer:  see proof below

Step-by-step explanation:

Use the following Sum/Difference Identities:

sin(A + B) = sin A · cos B + sin B · cos A

sin(A - B) = sin A · cos B - sin B · cos A

Use the following Half-Angle Identities:

\(\sin\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1-\cos \theta}}{\sqrt2}\\\\\\\cos\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1+\cos \theta}}{\sqrt2}\)

\(\text{Use the Unit circle to evaluate:}\ \cos\dfrac{\pi}{4} = \sin\dfrac{\pi}{4} = \dfrac{\sqrt2}{2}\)

Use the following side work:

\(\sin\bigg(\dfrac{\pi}{8}\bigg)=\sin\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1-\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2-\sqrt2}}{2}\\\\\\\cos\bigg(\dfrac{\pi}{8}\bigg)=\cos\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1+\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2+\sqrt2}}{2}\)

Proof LHS → RHS

\(\text{LHS:}\qquad \qquad \qquad \qquad \qquad \sin^2\bigg(\dfrac{\pi}{8}+\dfrac{A}{2}\bigg)-\sin^2\bigg(\dfrac{\pi}{8}-\dfrac{A}{2}\bigg)\\\\\text{Sum/Difference Identity:}\qquad \bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}+\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2\\\\.\qquad \qquad \qquad\qquad \qquad \quad -\bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}-\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2\)

\(\text{Expand and Simplify:}\qquad \quad 4\sin \dfrac{\pi}{8}\cdot \cos\dfrac{A}{2}\cdot \sin \dfrac{A}{2}\cdot \cos \dfrac{A}{2}\\\\\\\text{Substitute:}\qquad \qquad \qquad 4\bigg(\dfrac{\sqrt{2-\sqrt2}}{2}\bigg)\cdot \cos \dfrac{A}{2}\cdot \sin \dfrac{A}{2}\bigg(\dfrac{\sqrt{2+\sqrt2}}{2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \sqrt2\cos \bigg(\dfrac{A}{2}\bigg)\cdot \sin \bigg(\dfrac{A}{2}\bigg)\)

\(\text{Half-Angle Identity:} \quad \sqrt2\bigg(\dfrac{\sqrt{1+\cos A}}{\sqrt2}\bigg)\bigg(\dfrac{\sqrt{1-\cos A}}{\sqrt2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \dfrac{\sqrt{1-\cos^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sqrt{\sin^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sin A}{\sqrt2}\)

\(\text{LHS = RHS:}\quad \dfrac{\sin A}{\sqrt2} = \dfrac{\sin A}{\sqrt2}\quad \checkmark\)

Answer:2

Step-by-step explanation:

She has 2

9 - 5 = 4

no more to give so only 2

Answer:

Division!

Step-by-step explanation:

(1/6) ÷ (3/7)

(1/6)(7/3)

= 7 / 18

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 4² + (\(\sqrt{5}\) )² = 16 + 5 = 21 ( take the square root of both sides )

x = \(\sqrt{21}\) → B

Answer:

= 40

Step-by-step explanation:

A = 1/2bh

A = 1/2 x 10 x 8

A = 1/2 x 80

A = 40

The amount that one family paid is 25 pound

Here two families had dinner and bill was 100 pound

They used the coupon on which they got 50% off

To find the percentage we have to use percentage formula:

\(=\frac{Value}{Total \ Value} *100\)

\(=\frac{50}{100} *100\)

\(= 50 \ Pounds\)

The remaining bill was 50 pound

Now this amount is divided between the 2 families

\(=\frac{50}{2}\)

\(= 25 \ pound\)

So one family has to pay 25 pounds

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Answer:

Step-by-step explanation:

the expected value of the largest value in the sample is:

np​.​random​.​uniform​(​0,​1,​100)

this question is about random samples from the uniform(0,1) distribution.

recall that for a sample of size mm from a uniform(0,1) distribution

the expected value of the largest value in the sample is:

np​.​random​.​uniform​(​0,​1,​100)

import numpy as np

pass the random uniform generated array into x

x = np random uniform(low, high, size)

here low = 0, high = 1, size = 100

x = no. random uniform(0,1,100)

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