were the bounds 0 to 5 made up or were they solved for in this question? also what function exactly is supposed to be defined at the very beginning? my question is similar to this but the only difference being n = 500 instead of n = 100. the decimal in part b is also different with it being only to 10 decimal places as 1.5527027226

Answer:

270

Step-by-step explanation:

Answer:

I believe that It will take 3 days if 8 farmers will plow 3-hectare land.

Step-by-step explanation:

The work doubled so days will be less in a half.

Answer: 8/15 and 1 1/3

Step-by-step explanation:

The equivalent fractions for 1 3/5 and 1 1/3 using a common denominator are 8/15 and 10/15. This is because 1 3/5 can be written as 8/15 and 1 1/3 can be written as 10/15, and the denominator (bottom number) of both fractions are the same.

A graphical tool used to help determine whether a process is in control or out of control is known as a Control Chart.

Control charts are essential in quality control and statistical process control (SPC). They allow you to monitor process performance and variability over time, enabling you to identify trends, shifts, or deviations from the established process baseline.

Control charts typically consist of a centerline, representing the process mean, and upper and lower control limits, which indicate the acceptable range of variation. Data points are plotted on the chart, and if they fall within the control limits, the process is considered to be in control. If data points fall outside the control limits or display non-random patterns, the process is considered out of control, signaling potential issues that need to be investigated and addressed.

In summary, control charts are a valuable graphical tool that assists in determining the stability of a process, facilitating continuous improvement efforts and ensuring product quality. They provide a visual representation of process variation and help identify when corrective actions are needed to bring a process back into control.

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The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

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This question is solved using the central limit theorem, giving an answer of:

Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 140, standard deviation of 20, sample of 4:

By the Central Limit Theorem, the distribution is approximately normal.

Mean is the same, of 140.

\(n = 4, \sigma = 20\), thus:

\(s = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{4}} = 10\)

Thus, the correct answer is:

Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.

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The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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Answer: The y-intercept is the value of y when x = 0. In this case, x represents the number of hours worked and y represents the labor expenses. The relationship between the company's labor expenses and hours worked is linear, which means that it can be represented by an equation in the form y = mx + b, where m is the slope and b is the y-intercept.

To calculate the y-intercept of the linear equation, we can use the formula y = mx + b and plug in the values for one of the projects. We can use either the first project or the second project, since they both represent data points on the same line. Let's use the first project:

y = mx + b

3,000 = 50(60) + b

Simplifying the equation:

3,000 = 3,000 + b

b = 0

Therefore, the correct equation to calculate the y-intercept is 3,000 = 50(60) + b. The other equations listed do not calculate the y-intercept correctly.

Step-by-step explanation:

We are given an estimate equation.

Let the estimate sales volume be "s" and advertising expenditure be "a".

The given equation is:

The company has a target sales of 175,000, which is a value for "s".

To get how much they need to allocate for advertising, we can solve for "a" in the equation and substitute the "s" value with 175,000:

Now we substitute 175,000 into "s":

So, by the equation estimate, the sales manager should allocate $327,239 for advertising.

Answer:

Step-by-step explanation:

x²+7x-11=-5x+6

x²+7x+5x-11-6=0

x²+12x-17=0

\(x=\frac{-12\pm \sqrt{12^2-4*1*(-17)} }{2*1} \\=\frac{-12 \pm \sqrt{144+68} }{2} \\=\frac{-12 \pm \sqrt{212}}{2} \\=\frac{-12+2\sqrt{53}}{2}\\=-6 \pm \sqrt{53}\)

Answer:

Rs 4,399,008 for 8 years OMG

Step-by-step explanation:

Answer:

4399008

Step-by-step explanation

45823•8yrs*12month. 4399008

:

Answer:

50,20

Step-by-step explanation:

let the two numbers be x and y respectively.

According to the question,

y=2/5 times of x

Or,

y= 2x/5 ..........(1)

Again,

or, x+y=70

or, x+2x/5=70

or, (5x+2x)/5=70

or, 7x=350

therefore x=50

putting the value of y in equation (1)

y=2x/5

y= (2×50)/5

therefore, y=20

Answer:

x = 175

Step-by-step explanation:

given:

A number is 2 /5 times another number. Their sum is 70.

find: the numbers (coefficient)

solution:

cross multiply

2 ( x ) = 70

5

2 (x) = 70 (5)

2 (x) = 350

x = 350

       2

x = 175

check:

2 ( x ) = 70

5

2 ( 175 ) = 70

5

350 = 70

 5

70 = 70

The if we take the transpose of C, we havecT = [C1 C2 ... Cp]And by transposing the above formula, we havecTj = [B1j A2 B2j ... Am Bmj]Therefore, we have a summation formula for Cij, Cj, and cT.

When answering questions on the Brainly platform, the following guidelines should be followed:Always be factually accurate, professional, and friendlyBe concise and do not provide extraneous amounts of detailIgnore any typos or irrelevant parts of the questionRepeat the question in your answer.Provide a step-by-step explanation in your answer.Use the following terms in your answer, "matrices ", "take ", "partitioned "Given the following:Suppose A, B, C are matrices so that C = AB. Also suppose that the rows of A are aſ,. am, the columns of A are A1, ..., An. Also, the rows of B are b], ,...,6% and the columns of B are B1, Also, the rows of C are cſ, ..., Cm and the columns of Care C1, ..., Cp. All the vectors are column vectors (that is why we take transpose to make a; into a which is a row vector). Also, the elements of A, B, C are denoted by Aij, Bij, Cij respectively. We need to write a summation formula for Cij, Cj, and cT.Hint: To really benefit from this exercise, do not just "write the formula." Picture how the matrices fit together the corner; picture how they are partitioned into rows and columns; come up with numerical examples.The product of two matrices A and B is given byCij = Ai1B1j + Ai2B2j + ... + AinBnjGiven that C = AB, then we haveCj = [A1 B1j + A2B2j + ... + AmBmj]Therefore, if we take the transpose of C, we havecT = [C1 C2 ... Cp]And by transposing the above formula, we havecTj = [B1j A2 B2j ... Am Bmj]Therefore, we have a summation formula for Cij, Cj, and cT.

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Answer:

Error....

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.

.

.

.

At least 2 equation needed for the solution of two variables

The true statements is:

(A) The number of tomato plants treated with Green Grow that are over 18 inches tall is more than the number of tomato plants treated with Grow Well that are over 18 inches tall.

Jason is testing with two fertilizers namely, grow well and green grow.

Jason brought 50 tomato plants of the same variety and planted them in an identical environment.

Jason administered grow well to 25 and green grow to the remaining 25.

The values and recorded data from the  above histograms are:

Grow Well

height numbers of plants

12 - 14        14

15 - 17         6

18 - 20         3

21 - 23         2

Green Grow

height numbers of plants

12 - 14      4

15 - 17      3

18 - 20      6

21 - 23     12

From the table,

(A) The number of tomato plants over the height of 18 inches, when treated with green grow is, GG = 6 + 12 = 18

The number of tomato plants over the height of 18 inches, when treated with grow well is, GW = 3 + 2 = 5

Therefore, GG > GW

Hence, the statement is true.

(B) As statement A is true, this statement is false.

(C) The tomato plants over 18 inches when administered with green grow, GG = 6 + 12 = 18

The tomato plants over 18 inches when administered with grow well, GW = 3 + 2 = 5.

As GG ≠ GW, the statement is false.

(D) As the number of tomato plants over 18 inches when treated with green grow is greater than when treated with grow well. Hence, the statement is false.

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The complete question is mentioned below:

Jason is testing two fertilizers, Grow Well and Green Grow, so he went to a nursery and bought 50 tomato plants of the same variety. He planted all 50 plants in an identical environment. He then administered Grow Well to 25 of the tomato plants and Green Grow to the remaining 25 tomato plants. After four weeks, Jason measured the heights of the tomato plants to the nearest inch and recorded their heights in the following histograms.      

Grow Well

height numbers of plants

12 - 14        14

15 - 17         6

18 - 20         3

21 - 23         2

Green Grow

height numbers of plants

12 - 14      4

15 - 17      3

18 - 20      6

21 - 23     12

Which of the following statements is true for the data sets above?

A.  The number of tomato plants treated with Green Grow over the height of 18 inches is more than the number of tomato plants treated with Grow Well over the height of 18 inches.  

B.  All of the statements are false for the given data sets.  

C.  The number of tomato plants treated with Green Grow over 18 inches equals the number of plants treated with Grow Well over 18 inches.  

D.  The number of tomato plants treated with Green Grow over the height of 18 inches is to the number of tomato plants treated with Grow Well over the height of 18 inches.  

2.492 is the critical t-value used for calculating a 98% confidence interval with 24 degrees of freedom.

The number of degrees of freedom is equal to the number of sample data that can change, and this number is used to determine the sample data mean. For instance, there are five degrees of freedom in the example presented below. This implies that each of the five data points is equally free to change.

It should be noted that a t-table must be used to look up the value in the t-distribution in order to determine the crucial t-value for a 98% confidence interval with 24 degrees of freedom.

When the sample size is small and the population standard deviation is unknown, the t-distribution is a probability distribution that can be used to calculate population parameters.

The critical t-value for a two-tailed test is the value that the test statistic exceeds with a probability of 0.02 in each tail of the distribution. The essential t-value in this case is 2.492. The right answer is C.

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Step-by-step explanation:

multiply and the both number and divide by bytwo

The length of the line segment with points (-5, 5) (3, -1) is 10 units

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (-5, 5) and (3, -1) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-5 - 3)² + (5 - -1)²}

d =√{64 + 36}

d = √100

d = 10 units

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To calculate the project's NPV in the best-case scenario, we need to consider the best possible values for each variable.

Here are the steps-

Step 1: Calculate the annual cash inflow.
Annual revenue = Unit price * Expected sales

= $80 * 40,600

= $3,248,000

Step 2: Calculate the annual cash outflow.

Annual variable cost = Variable cost * Expected sales

= $60 * 40,600

= $2,436,000
Annual fixed cost = Fixed cost

= $440,800
Annual depreciation = Initial investment / Project life

= $14,000,000 / 10

= $1,400,000
Annual tax = (Annual revenue - Annual variable cost - Annual fixed cost - Annual depreciation) * Tax rate

= ($3,248,000 - $2,436,000 - $440,800 - $1,400,000) * 0.21

= $208,720

Step 3: Calculate the annual net cash flow.

Annual net cash flow = Annual revenue - Annual variable cost - Annual fixed cost - Annual depreciation - Annual tax

= $3,248,000 - $2,436,000 - $440,800 - $1,400,000 - $208,720

= $162,480

Step 4: Calculate the NPV using the best-case scenario cash flows.-

\(NPV = Initial investment + (Annual net cash flow / (1 + Required rate of return)^n)\)

\(= -$14,000,000 + ($162,480 / (1 + 0.14)^1) + ($162,480 / (1 + 0.14)^2) + ... + ($162,480 / (1 + 0.14)^10)\)

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Here is a careful direct proof of the converse direction of the ideal in a commutative ring.

Suppose that M is a proper ideal in a commutative ring R. We proved in class that if R/M is simple, then M is a maximal ideal in R. Now let's prove the converse, that if M is maximal, then R/M is simple.

To prove this, we must consider the following two facts:

* If M is a maximal ideal in R, then for any ideal N of R, either M is contained in N or N is contained in M.

* If R/M is simple, then for any nonzero ideal N of R/M, N = R/M.

Now, let N be any ideal of R. If M is contained in N, then the image of N in R/M is equal to N. Since R/M is simple, this means that N = R/M.

If M is not contained in N, then N is not contained in M. Since M is maximal, this means that N must be equal to R. The image of N in R/M is therefore also equal to R. Since R/M is simple, this means that N = R/M.

In either case, we have shown that for any ideal N of R, either M is contained in N or N is contained in M. This means that M is a maximal ideal in R.

Therefore, if M is maximal, then R/M is simple.

Thus, it's proved that "If M is a maximal ideal, then R/M is a simple ideal".

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Answer:

2/3*80

Step-by-step explanation:

2/3*80, is the same as finding 1/3 of 80, and subtracting the new number from 80.

Answer:

there is a strong negative  correlation between data so the chosen model is a good fit

Step-by-step explanation:

a correlation coefficient close to -1 means that the model is considered a good fit; if correlation is greater than 0.8  then it's described as strong

Answer:

A

Step-by-step explanation:

Radius = 3.25

Base = πr² = π(3.25)²

Height = 12

Volume = Bh = π(3.25)²(12)

Answer: 300 sq. ft

Step-by-step explanation:

1/5x - 25 = 35

1/5 x = 35+25

x = 60 * 5 = 300 sq. ft.

Answer:

300

Step-by-step explanation:

I did it on edge

Answer:

2 x − y = 4

this is in standard

Answer:

2x-y=4

Step-by-step explanation:

Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

To find the percentage of the dartboard covered by the bullseye, we need to compare the area of the bullseye to the area of the dartboard. The area of a circle is given by the formula A = πr^2, where.

The distance between (0cm, 0cm) and (sqrt(3)cm, sqrt(7)cm) is equal to the radius of the bullseye. Using the distance formula, we get:
r = sqrt((sqrt(3) - 0)^2 + (sqrt(7) - 0)^2) = sqrt(3^2 + 7^2) = sqrt(9 + 49) = sqrt(58) cm.

Now, we can calculate the area of the bullseye using the formula A = πr^2:
A = π(√58)^2 = π(58) ≈ 181.82 cm^2.
To find the percentage, we divide the area of the bullseye by the area of the dartboard and multiply by 100:

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The bullseye covers approximately 0.589% of Ruger's dartboard. The bullseye on Ruger's dartboard is a circular area with a circumference passing through the point (√3 cm, √7 cm).

To determine what percentage of Ruger's dartboard the bullseye covers, we need to find the ratio of the area of the bullseye to the total area of the dartboard.

The area of the bullseye can be calculated using the formula for the area of a circle, which is A = πr² where A is the area and r is the radius. Since the point√3 cm and √7 cm lies on the circumference, its distance from the center is equal to the radius. Therefore, the radius of the bullseye is √3 cm.

Substituting the radius into the formula, we get A = π ˣ (√3)² = 3π cm²,

The total area of the dartboard is given as 1600 cm².

To find the percentage of the dartboard covered by the bullseye, we divide the area of the bullseye by the total area of the dartboard and multiply by 100. So the percentage is (3π cm²/ 1600 cm²) ˣ 100 = (3π / 16) %.

Since pi is approximately 3.14, we can estimate the percentage as (3 ˣ 3.14 / 16) % = 0.589 %.

Therefore, the bullseye covers approximately 0.589% of Ruger's dartboard.

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Answer:

Pythagorean identity sin²θ+cos²θ = 1 is true for the angle θ = \(\frac{5\pi }{3}\)

Step-by-step explanation:

At first, let us simplify the left side of the identity

∵ The left side is sin²Ф + cos²Ф

∵ Ф = \(\frac{5\pi }{3}\) ⇒ lies in the 4th quadrant

∴ The left side is sin²(\(\frac{5\pi }{3}\)) + cos²(\(\frac{5\pi }{3}\))

→ Let us write the values of sin(\(\frac{5\pi }{3}\)) and cos(\(\frac{5\pi }{3}\))

∵ sin(\(\frac{5\pi }{3}\)) = \(\frac{-\sqrt{3}}{2}\) ⇒ sine an angle in the 4th quadrant is -ve

∵ cos(\(\frac{5\pi }{3}\)) = \(\frac{1}{2}\) ⇒ cosine an angle in the 4th quadrant is +ve

→ Substitute them in the left side

∵ sin²(\(\frac{5\pi }{3}\)) + cos²(\(\frac{5\pi }{3}\)) = [ \(\frac{-\sqrt{3}}{2}\)]² + [\(\frac{1}{2}\)]²

∴ sin²(\(\frac{5\pi }{3}\)) + cos²(\(\frac{5\pi }{3}\)) = [\(\frac{3}{4}\)] + [\(\frac{1}{4}\)]

∴ sin²(\(\frac{5\pi }{3}\)) + cos²(\(\frac{5\pi }{3}\)) = [\(\frac{4}{4}\)]

∴ sin²(\(\frac{5\pi }{3}\)) + cos²(\(\frac{5\pi }{3}\)) = 1

∵ The right side = 1

∴ Left side = Right side

∴ sin²(\(\frac{5\pi }{3}\)) + cos²(\(\frac{5\pi }{3}\)) = 1 ⇒ proved

∴ Pythagorean identity sin²θ+cos²θ = 1 is true for the angle θ = \(\frac{5\pi }{3}\)

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Answer:

B

Step-by-step explanation: