If 225 widgets were produced in 2.2 hours what is the hourly production rate

Answer:

the answer is 40 dollars

Step-by-step explanation:

all you have to do is multiply 15x2 and then add 10

Answer:

$40 dallors.

Step-by-step explanation:

First you would do, 2 times 15 and get 30.

Then do 30 plus 10 to get $40 dallors.

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

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Ans- Given:- 200 units at the rate of Rs. 10/units

250 units at the rate of ?

Ep=-1.5

So, quality demanded price

200 10

250 x

Ep = ∆Q/∆P × P/Q

= 50/10-x = 10/200 = 1.5

= 5 = -1.5×2(10-x)

= x = 11.66

So, at 11.66 per unit 250 units will be demanded.

250 units would be demanded when price is $11.67.

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

Percentage change in the quantity demanded = (250 / 200) - 1 = 25%

Percentage change in price = 25% / 1.5 = 16.67

Price = (1 + 0.1667) x 10 = 11.67

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Answer:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

Answer:

The formula is

P (x,y)---->P' (y, -x)

Answer:

268°

Step-by-step explanation:

\( In\: \odot O, \) AB is diameter.

So, \( \widehat{AB} \:\&\: \widehat {BA}\) are semicircular arcs.

\( \therefore m\widehat {AB} =m\widehat {BA} = 180\degree \)

\( \because \: m\widehat {BC} = m\widehat {BA} - m\widehat {CA} \)

\( \therefore \: m\widehat {BC} = (180-92)\degree \)

\( \therefore \: m\widehat {BC} =88\degree \)

\( \because m\widehat {ABC} = m\widehat {AB}+m\widehat {BC} \)

\( \therefore m\widehat {ABC} = 180\degree+88\degree \)

\( \therefore m\widehat {ABC} = 268\degree \)

Answer:

16 problems.

Step-by-step explanation:

100% divided by 20 questions.

100/20 is equal to 5, therefore each question is worth 5 points.

Grade of 80% divided by points per question.

80/5 is 16 so the student answered 16 questions correctly.

Answer:

The equation is; A student got a grade of 80% on a test that has 20 problems.

1/20 = 5%

2/20 = 10%

3/20 = 15%

4/20 = 20%

5/20 = 25%

6/20 = 30%

7/20 = 35%

8/20 = 40%

9/20 = 45%

10/20 = 50%

11/20 = 55%

12/20 = 60%

13/20 = 65%

14/20 = 70%

15/20 = 75%

16/20 = 80%

As your final answer, as shown above, 16 is your final answer!

Step-by-step explanation:

I found out the answer by using fractions!

Hope this helps! :D      

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The given stochastic process is stationary with mean μ = 0 and autocovariance function\(γ(h) = δ(h) cos(p(t+h)-pt)\).

Given the stochastic process:

\(Y₁ = cos(pt)et + sin(pt)εt-2\)

Where,

\(Et ~ N(0, 1)\)

And the interval is \(t ∈ [0, 2π)\)

Therefore, the stochastic process can be re-written as:

\(Y₁ = cos(pt)et + sin(pt)εt-2\)

Let the mean and variance be denoted by:

\(μt = E[Yt]σ²t = Var(Yt)\)

Then, for stationarity of the process, it should satisfy the following conditions:

\(μt = μ and σ²t = σ², ∀t\)

Now, calculating the mean μt:

\(μt = E[Yt]= E[cos(pt)et + sin(pt)εt-2]\)

Using linearity of expectation:

\(μt = E[cos(pt)et] + E[sin(pt)εt-2]= cos(pt)E[et] + sin(pt)E[εt-2]= cos(pt) * 0 + sin(pt) * 0= 0\)

Thus, the mean is independent of time t, i.e., stationary and μ = 0.

Now, calculating the autocovariance function:

\(Cov(Yt, Yt+h) = E[(Yt - μ) (Yt+h - μ)]\)

Substituting the expression of \(Yt and Yt+h:Cov(Yt, Yt+h) = E[(cos(pt)et + sin(pt)εt-2) (cos(p(t+h))e(t+h) + sin(p(t+h))ε(t+h)-2)]\)

Expanding the product:

Cov(Yt, Yt+h) = E[cos(pt)cos(p(t+h))etet+h + cos(pt)sin(p(t+h))etε(t+h)-2 + sin(pt)cos(p(t+h))εt-2et+h + sin(pt)sin(p(t+h))εt-2ε(t+h)-2]

Using linearity of expectation, and independence of et and εt-2:

\(Cov(Yt, Yt+h) = cos(pt)cos(p(t+h))E[etet+h] + sin(pt)sin(p(t+h))E[εt-2ε(t+h)-2]= cos(pt)cos(p(t+h))Cov(et, et+h) + sin(pt)sin(p(t+h))Cov(εt-2, εt+h-2)\)

Now, as et and εt-2 are i.i.d with mean 0 and variance 1:

\(Cov(et, et+h) = Cov(εt-2, εt+h-2) = E[etet+h] = E[εt-2ε(t+h)-2] = δ(h)\)

Where δ(h) is Kronecker delta, which is 1 for h = 0 and 0 for h ≠ 0. Thus,

\(Cov(Yt, Yt+h) = δ(h) cos(p(t+h)-pt)\)

Hence, the given stochastic process is stationary with mean μ = 0 and autocovariance function \(γ(h) = δ(h) cos(p(t+h)-pt).\)

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The inclusion probability for unit 6 in a PPS sampling without replacement at the PSU level is calculated by dividing its size measure by the cumulative size measure, and then multiplying the result by the desired number of PSUs to be selected.

To determine the inclusion probability for unit 6 in a two-stage Probability Proportional to Size (PPS) sampling without replacement at the Primary Sampling Unit (PSU) level, follow these steps:

1. Calculate the size measure (e.g., population) for each PSU in the sampling frame.
2. Calculate the cumulative size measure for all PSUs.
3. Divide the size measure of unit 6 by the cumulative size measure to obtain the selection probability for unit 6.
4. Multiply the selection probability by the desired number of PSUs to be selected (e.g., n) to find the inclusion probability for unit 6.

In summary, the inclusion probability for unit 6 in a PPS sampling without replacement at the PSU level is calculated by dividing its size measure by the cumulative size measure, and then multiplying the result by the desired number of PSUs to be selected.

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Answer:

y=5

x= -2/5

m= -96

t= 5/3

b= 20/3

x=3.5

Answer:

B

Step-by-step explanation:

(1 1/2,-2)

solve for x and get 1 1/2

solve for y and get -2

Answer:

A.) (The absolute value function)

Step-by-step explanation:

When evaluating pre-graphed relations, we can determine their functionality by performing the vertical line test!

Graph A (the one which looks like a v) passes the vertical line test while all others do not!

I hope I was of assistance! #SpreadTheLove! <3

We are unable to perform any additional iterations because y′(1)=0, hence the Newton's technique fails with the provided initial assumption.

An equation is a mathematical formula that joins two statements and uses the equal symbol (=) to indicate equivalence. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign divides the variables 3x + 5 and 14. The relationship between the two sentences on either side of a letter is explained by a mathematical formula. There is frequently only one variable, which also serves as the symbol. for instance, 2x - 4 = 2.

given

by newton's method

y = x3 − 2x − 2, x1 = 0

y′(1)=6−12+6

y′(1)=0

We are unable to perform any additional iterations because y′(1)=0, hence the Newton's technique fails with the provided initial assumption.

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The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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Answer:

-4, quick maths, nahh they all /4

Step-by-step explanation:

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:72

Step-by-step explanation:

72 and the angle to the top right of x are corresponding angles. This means they are the same. Using this, we can see that the same angle to the top right of x that we now know is 72 is also vertical to x. Vertical angles are also equal, so x = 72

The value of x is 72°

Parallel lines are lines in the same plane and of the the same distance.

The parallel line j and k are intersected by the transversals l and m.

Therefore, corresponding angles, alternate angles etc. can be formed.

Since the pair of parallel lines are cut by the transversal lines then the alternate exterior angles are congruent . Therefore,

x = ∠72°

∠x ≅ ∠72°(alternate exterior angles)

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Answer: 2 times the square root of 10=x

Step-by-step explanation: 6^2+2^2= x^2

36+4=x^2

40=x^2

2 root 10=x

By definition of surface area, the composite figure reports an area of 233.6 square centimeters.

In this question we need to determine the surface area of a composite figure, which is the sum of all the areas of the faces, which are combinations of triangles and quadrilaterals. Now we proceed to calculate the surface area:

A = 2 · (6 cm) · (3 cm) + 2 · (8 cm) · (6 cm) + 2 · (8 cm) · (3.6 cm) + 2 · (8 cm) · (2 cm) + 4 · (1/2) · (3 cm) · (2 cm)

A = 233.6 cm²

By definition of surface area, the composite figure reports an area of 233.6 square centimeters.

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Answer:

A tribe was named after him: the Tribe of Judah, which gave rise to the name of "Judaism", so the correct anser is d, one of the original tribes

Step-by-step explanation:

Step-by-step explanation:

= -7ab² + 9a³b

= -7b × ab + 9a² × ab

= ab × (-7b + 9a²)

Answer:

\(-3, -2, -0.8, -\frac{1}{10} ,\frac{1}{2}, 0.8, 7\)

Step-by-step explanation:

Given

\(7, -3, \frac{1}{2}, -0.8, 0.8, -\frac{1}{10}, -2\)

Required

Order from least to greatest

\(7, -3, \frac{1}{2}, -0.8, 0.8, -\frac{1}{10}, -2\)

Convert 1/2 and -1/10 to decimals

\(7, -3, 0.5, -0.8, 0.8, -0.1, -2\)

Negative numbers are always the least of all numbers.

In the given list, the negative numbers are:

\(-3, -0.8, -0.1, -2\)

The higher the magnitude of a negative number, the smaller it is.

--------------------------------------------------------------------------------------------

Take for instance: -7 and -8.

-8 has a magnitude of 8 and -7 has a magnitude of 7.

Because 8 > 7 (the magnitudes), then

-8 < -7

--------------------------------------------------------------------------------------------

Using the above analysis:

\(-3, -0.8, -0.1, -2\) from least to greatest is:

\(-3, -2, -0.8, -0.1\)

Considering the positive numbers:

\(7, 0.5, 0.8\)

From least to greatest, it is:

\(0.5, 0.8, 7\)

Merge the negative and the positive numbers:

\(-3, -2, -0.8, -0.1,0.5, 0.8, 7\)

Convert 0.5 and -0.1 back to fractions

\(-3, -2, -0.8, -\frac{1}{10} ,\frac{1}{2}, 0.8, 7\)

The correct response is b. y = 197,910(1.069)^t. 197,910 people called Greensboro, North Carolina, home in 1984. Since 1984, Greensboro's population has been declining at an average rate of 6.9% per year, according to the U.S. Census Bureau.

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. An average rate of change function is a calculation that divides the amount of change in one item by the corresponding amount of change in another. Below are some examples of typical change rates: The typical bus speed is 80 km/h. Fish populations in lakes increase at a rate of 100 each week. For every 1 volt drop in voltage, an electrical circuit's current reduces by 0.2 amps.

The population of Greensboro t years after 1984 is y = 197,910(1.069)^t.

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The representation of D in the form D_x, D_y, where the x and y components are separated by a comma will be D[6.08,7.27]

Any vector oriented in two dimensions can be understood to have an impact in both directions. This implies that it may be divided into two halves. A component is a portion of a two-dimensional vector. The components of a vector assist to represent the vector's effect in a certain direction. The total impact of these two components is equivalent to the influence of the separate two-dimensional vectors. The two vector components can substitute the single two-dimensional vector.

Determine the x and y components for each vector A & B for vector A

Ax=sin (15) * 2=0.5176

Ay=cos (15) * 2=1.9318

for Vector B

Bx=cos (15) * 4=3.8637

By=sin (15)* 4=1.0352

The vector addition and scalar multiplication for x and y individually D=4.3 * A+B

Dx=4.3 *(sin (15) * 2)+cos (15) * 4

Dx=4.3 * 0.5176+3.8637

Dx=6.0893

Dy=4.3 *(cos (15) * 2)-sin (15) * 4

Dy=4.3 * 1.9318-1.0352

Dy=7.2715

D[6.08,7.27]

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The actual question may be:

Express D in the form D_x, D_y, where the x and y components are separated by a comma using two significant figures.

Answer:

3 Terms and Degree is 6

Step-by-step explanation:

3 Terms and Degree is 6

How to find degrees:

4 + 2 = 6

Step-by-step explanation:

(a+b)² = (a+b) × (a+b)

= a(a+b) × b(a+b)

= a² +ab + ba + b²

= a² + b² + 2ab

103² = (100 + 3)²

= 100² + 3² + (2×100×3)

= 10000 + 9 + 600

= 10609

The amount Arianna sold 80 milkshakes last week, and 35% of them had whipped cream on top. This means 28 milkshakes had whipped cream.

Arianna sold 80 milkshakes last week and 35% of them had whipped cream on top. This means that 35% of the total number of milkshakes, 80, had whipped cream. To calculate the amount of milkshakes with whipped cream, we must multiply the total number of milkshakes (80) by 35%. 35% of 80 is 28, so 28 milkshakes had whipped cream. To find the percentage, we divide the amount of milkshakes with whipped cream (28) by the total number of milkshakes (80). When we divide 28 by 80, we get 0.35, which is the same as 35%. Therefore, 35% of the milkshakes sold by Arianna last week had whipped cream on top.

Total milkshakes: 80

Milkshakes with whipped cream: 28

Percentage: 28/80 = 0.35 = 35%

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Answer:

\(T_{10} - T_7 = 112\)

Step-by-step explanation:

Given

\(T_9 = 63\)

Required

Find \(T_{10} - T_7\)

From the question, we have that:

Each sequence = 2 * Previous sequence + 1;

i.e.

\(T_n = 2 * T_{n - 1} + 1\)

Considering the 9th sequence;

\(T_9 = 2 * T_8 + 1\) ------ Equation 1

Considering the 8th sequence;

\(T_8 = 2 * T_7 + 1\)

Substitute \(2 * T_7 + 1\) for \(T_8\) in equation 1

\(T_9 = 2 * T_8 + 1\) becomes

\(T_9 = 2 * (2 * T_7 + 1) + 1\)

Open bracket

\(T_9 = 2 * 2 * T_7 + 2*1 + 1\)

\(T_9 = 4T_7 + 2 + 1\)

\(T_9 = 4T_7 + 3\)

Substitute 63 for \(T_9\)

\(63 = 4T_7 + 3\)

Subtract 3 from both sides

\(63 - 3 = 4T_3 + 3 - 3\)

\(60 = 4T_3\)

Divide both sides by 4

\(\frac{60}{4} = \frac{4T_3}{4}\)

\(15 = T_7\)

\(T_7 = 15\)

Considering \(T_{10}\)

\(T_1_0 = 2 * T_9 + 1\)

Substitute 63 for \(T_9\)

\(T_1_0 = 2 * 63 + 1\)

\(T_1_0 = 126 + 1\)

\(T_1_0 = 127\)

Calculating \(T_{10} - T_7\)

\(T_{10} - T_7 = 127 - 15\)

\(T_{10} - T_7 = 112\)

Hence, the 10th - 7th number is 112

Answer:

y=-\(\sqrt9(x-1)+2\)

Divide price by quantity:

3.00 / 12 = $0.25 per can.