A spotify premium membership is $10 per month proportional or non proportional

The margin of error at the 95% confidence level for the rotation rates of the tested electric motors is approximately 16.9rpm.

To calculate the margin of error at the 95% confidence level for the rotation rates of the tested electric motors, we can use the formula:

Margin of Error = Critical Value * (Standard Deviation / √(Sample Size))

First, we need to determine the critical value corresponding to the 95% confidence level. For a sample size of 30, we can use a t-distribution with degrees of freedom (df) equal to (n - 1) = (30 - 1) = 29. Looking up the critical value from a t-distribution table or using a statistical calculator, we find it to be approximately 2.045.

Substituting the given values into the formula, we can calculate the margin of error:

Margin of Error = 2.045 * (45rpm / √(30))

Calculating the square root of the sample size:

√(30) ≈ 5.477

Margin of Error = 2.045 * (45rpm / 5.477)

Margin of Error ≈ 16.88rpm

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Selling price = $6.37 .

Selling price = $6.94

Selling price = $346.80

1)

Sales revenue = 6,000

Less:-Variable costs ($1.5 per unit 1,000) = 1,500

Less:- Fixed costs = (1,700)

Operating Income = 2,800

Variable costs and Fixed costs have increased.

Hence, in order to maintain the same Operating Income, the selling price should be higher than the current selling price .

Thus to maintain same operating income the selling price should be $6.37 .

2)

The computation is given below:

Sales price = ( Total sales revenue ÷ packages sold)

Total sales revenue = ( Total Cost + Operating income )

Total Cost = ( Variable Cost + Fixed cost)

Now

Variable cost = 1,000 packages × $1.90 per unit

= $1,900

Fixed cost = $1,700 × 120%

= $2040

Total cost = $1,900 + $2,040

= $3,940

Now  

Total sales revenue is

= $3,940 + $3,000

= $6,940

Now  

Sales price = $6,540 ÷ 1,000 packages

= $6.94

3)

-Fruit Computer Company has variable costs of $220 per unit and fixed costs of $32,000 per month.

- The company currently sells 500 units per month at a sales price of $300.

Net margin = $8000

- The company wants to increase its operating income by 30%.

- If the company upgrades the computer quality, the variable cost per unit will increase to $240 and the fixed costs will rise by 50%.

Thus the selling price per unit will be  $346.80 per unit.

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The distance traveled in each section will be 150 meters and 350 meters.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

From a simultaneous equation for: A cyclist completes a journey of 500 m in 22 seconds, part of the way at 10m/s and the remainder at 50m/s.

Let x distance be covered with velocity 10 m/s in time t₁ and the remaining distance (500 - x) covered with velocity 50 m/s in time t₂. Then the equation will be

t₁ + t₂ = 22          ....1

Then the time t₁ will be

10 = x / t₁

t₁ = x / 10

Then the time t₂ will be

t₂ = (500 - x) / 50

Put the time in equation 1, then we have

x / 10 + (500 - x) / 50 = 22

5x + 500 - x = 1100

4x = 600

x = 150 meters

And the remaining distance will be

500 - x = 500 - 150

500 - x = 350 meters

The distance traveled in each section will be 150 meters and 350 meters.

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For the given situation, we can clearly say that the change in one quantity will also cause a change in the second quantity.

Correlation is a relationship between the values ​​of two variables. A scatter plot is a useful tool for displaying data about two variables as a series of points in the x and y plane and determining whether there is a correlation between the variables.

Causality means that one event causes another. Well-designed experiments can only determine causality. In such experiments, similar groups receive different treatments, and the results of each group are examined.

The collected data on the number of miles driven and fuel expenses. we found that number of miles driven tended to be lower when fuel expenses were high, and the number of miles driven tended to be higher when fuel expenses sales were high.

We do not conclude that more fuel expenses mean fewer miles driven. Likely, an Increased in fuel expenses and the number of miles driven may be caused by a third factor, car mileage. So, the present case is a case of negative correlation.

Negative correlation: y decreases as x increases.

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Answer: -1/4

Step-by-step explanation:

     We will use "rise over run" to find the slope of this line.

     Starting at (0, 1) we will count down (negative slope) one unit and 4 units to the right and arrive at point (4, 0) for a slope of -1/4.

Answer:

        \(f(x)=x^{2}\)

        Yes, all inputs have one output.

        Continuous, it has a solid line.

        \(f(2)=4\)

The probability of a student being chosen at random and taking exactly one language class is 65%.

Probability is the likelihood or chance of an event happening. In this case, the event is a student taking exactly one language class.

First, we need to find the total number of students taking at least one language class. We have 28 students in the Spanish class, 26 students in the French class, and 16 in the German class. However, some students are taking multiple classes, so we need to subtract these students from the total. The 12 students taking both Spanish and French, 4 taking both Spanish and German, and 6 taking both French and German should only be counted once. In addition, the 2 students taking all three classes should also only be counted once.

So, the total number of students taking at least one language class is

=> 28 + 26 + 16 - 12 - 4 - 6 + 2 = 40 students.

To find the number of students taking Spanish only, we need to subtract the number of students taking both Spanish and French (12) and the number of students taking both Spanish and German (4) from the number of students taking Spanish (28).

So, the number of students taking Spanish only is

=> 28 - 12 - 4 = 12 students.

Similarly, the number of students taking French only is

=> 26 - 12 - 6 = 8 students

and the number of students taking German only is

=> 16 - 4 - 6 = 6 students.

Finally, to find the probability of a student being chosen at random and taking exactly one language class, we divide the number of students taking exactly one language class by the total number of students taking at least one language class.

So, the probability of a student taking exactly one language class is

=> (12 + 8 + 6) / 40 = 26 / 40 = 0.65 or 65%.

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Complete Question:

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. The classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 26 students in the French class,, and 16 in the German class. There are 12 students that are in both Spanish and French, 4 that are in both Spanish and German, and 6 that are in both French and German. In addition, there are 2 students taking all 3 classes.

If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?

Answer:

a right angle is an angle of exactly 90° (degrees) .

Step-by-step explanation:

Answer:

it always has a right corner or in other words it has at least one right 90 degree angle

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

For these types of problems you'll need the Pythagorean theorem (woohoo..). This amazing formula looks like: a^2 + b^2 = c^2. The a and b in this formula are the legs of the triangle, the straight non-diagonal lines. The c stands for the hypotenuse which is the diagonal line.

Since you have both of the legs we can go ahead and plug that into our equation: 15^2 + 20^2 = c^2.

NOTE: It doesn't matter which leg you plug into which variable! Just make sure it's not c!

With exponents, it just means to multiply the number by itself. 15^2 is the same as 15(15). So, simplifying the equation, we get: 225 + 400 = c^2.

This part is pretty straightforward. I mean, unless you don't remember addition... Adding it together, you will get 625 = c^2.

This part kinda requires a calculator if you don't know all of your square roots. Luckily, this is a perfect root and goes into 25.

And that, my friend, is your answer. Hope this helped :)

Answer:

slope  =  1

Slope-intercept form: y = 1x + 4

Step-by-step explanation:

Hope this helps!

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer:

\(\huge\boxed{\sf 44\ units}\)

Step-by-step explanation:

Solution:

So,

= 3 + 8 + 3 + 6 + 5 + 6 (again) + 4 + 5 + 4

\(\rule[225]{225}{2}\)

Answer:

8-4=4

therefore 6+4=10

then perimeter =2(5)+10+6+2(3)+8+4=44units

Answer:

i believe it would be z = -7.5

Step-by-step explanation:

Answer:

-7.5

Step-by-step explanation:

Subtract 2.7z from 3.5z

0.8z= -6

divide each term by 0.8 -    0.8 divided by 0.8-         -6 divided by 0.8

Cancel the common factor of 0.8

divide -6 by 0.8

Z= -7.5

Answer:

Yes

Step-by-step explanation:

Triangle inequality theorem states that a triangle can exist if

a + b > c; a + c > b; b + c > a

a = 2; b = 10; c = 11

2 + 10 = 12; 12 > 11.

2 + 11 = 13; 13 > 10.

10 + 11 = 21; 21 > 2.

Answer: 1/10

Step-by-step explanation:

(1 x 4)/(8x5)

4/40

1/10

\(\mathbb{R}^4\) is a subspace of Col(A). So the value of k = 4.

The column spaces of a matrix are the subspaces of the vector space spanned by the columns of the matrix. The column space of a matrix is the set of all linear combinations of its columns. In other words, it is the set of all vectors that can be obtained by multiplying the columns of the matrix by scalar values and then adding the results together.

The matrix is

\(A=\left[\begin{array}{cccc}7&-2&0\\-2&0&-5\\0&-5&7\\-5&7&-2\end{array}\right]\)

For vectors,

Vector = \(\left[\begin{array}{c}7\\-2\\0\\-5\end{array}\right], \left[\begin{array}{cccc}-2\\0\\-5\\7\end{array}\right], \left[\begin{array}{cccc}0\\-5\\7\\-2\end{array}\right]\)

There have four rows that means \(\mathbb{R}^4\) is a subspace of Col(A). So the value of k = 4.

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The complete question is:

Determine k so that Col(A) is a subspace of \(\mathbb{R}^k\) when

\(A=\left[\begin{array}{cccc}7&-2&0\\-2&0&-5\\0&-5&7\\-5&7&-2\end{array}\right]\)

Answer: C

Step-by-step explanation:

See attached image.

Amount of discount allowed = 640 Rs.

VAT meaning value added tax that is attached to an item of product while bought by the buyer and also in each stage of production, distribution level. It is almost similar to a sales tax that is paid within the item price.

given, discount allowed = 20% on the market price.

VAT = 10% on the market price.

Buyer paid as VAT = 320 Rs

Assume, market price of radio = X Rs

now amount of discount = 20/100× X = 0.2X

amount of VAT = 10/100×X = 0.1X

it is said that VAT paid by buyer = 320 Rs

now 320 = 0.1X

X = 320 / 0.1 = 3200 Rs

market price of radio = 3200 Rs

amount of discount = 20/100× 3200 = 640 Rs

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The Perimeter is  12 + \(9\sqrt{10}\) units.

To find the perimeter of any shape. Simply add all the length.

For example:

1. A square has 4 sides all are equal to 'a' so perimeter of the square will be: a + a + a + a = 4a.

2. A rectangle has length L and breadth B so the perimeter will be:

L + B + L + B = 2(L+ B)

let the points are A (x1, y1) and B (x2, y2)

and let the distance be 'D':

D = ( ( x1 - x2 )² + ( y1 - y2 )² )^1/2

also,

D = \(\sqrt{( ( x1 - x2 )^{2} + ( y1 - y2 ^{2} )}\)

For plotting of point: See the attached Image.

Here, we need to find all the distances:

M( -4, 0 ) L(-1, 0) J( -4, 5) K( -4, 9)

KM = 9 units

ML = 3 units

LK = \(9\sqrt{10}\) units

Perimeter = KM + ML + LK

Perimeter = 12 + \(9\sqrt{10}\) units

Hence,

The Perimeter is  12 + \(9\sqrt{10}\) units.

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The correct answer is C. $137,410.

To compute the company's budgeted sales for the next seven-day week, we need to calculate the total sales revenue for both products, taking into account the expected sales quantities and prices.

Product A:

- Selling price: $15 per unit

- Expected daily sales: 420 units

- Expected cost: 44% of selling price = 0.44 * $15 = $6.60

Product B:

- Selling price: $31 per unit

- Expected daily sales: 430 units

- Expected cost: 62% of selling price = 0.62 * $31 = $19.22

Now let's calculate the budgeted sales for each product:

Product A:

- Budgeted daily sales revenue: $15 * 420 = $6,300

- Budgeted daily cost: $6.60 * 420 = $2,772

- Budgeted daily profit: $6,300 - $2,772 = $3,528

Product B:

- Budgeted daily sales revenue: $31 * 430 = $13,330

- Budgeted daily cost: $19.22 * 430 = $8,279.60

- Budgeted daily profit: $13,330 - $8,279.60 = $5,050.40

To find the budgeted sales for the week, we multiply the daily sales revenue by seven:

Product A:

- Budgeted weekly sales revenue: $6,300 * 7 = $44,100

Product B:

- Budgeted weekly sales revenue: $13,330 * 7 = $93,310

Finally, we add the sales revenue for both products:

Total budgeted sales for the week = $44,100 + $93,310 = $137,410

Therefore, the company's budgeted sales for the next seven-day week is $137,410.

The correct answer is C. $137,410.

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In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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Answer:

40 yds.

Step-by-step explanation:

Let's split the figure into a square and triangle. The square's area is 4*4=16 yds.

For the height of the triangle,  we have 4 and the side of the square. As all sides of a square are equal, that part is 4 yds, which means that the height is 4+4=8 yd. That means the area is \(\frac{6*8}{2}\)=48/2=24

The total area is the square+triangle=16+24=40 yds.

2% of 800 is 16 so you need to do 800-16 and that = 784

The value of the 549 coins in pounds (£) is 305.4 .

What is fraction multiply?

Multiplying fractions is defined as the product of a fraction with a fraction or with an integer or with the variables. The procedure to multiply the fractions are: Multiply the numerator with numerator. Multiply the denominator with the denominator. Simplify the fractions, if required.

Given:

Total coins : 549 coins

one third(1/3) of the coins are £1 coins

164 of the coins are 50p coins

rest of the coins are 20p coins

one third of 549 = 549/3 = 183

Thus ,  

£1 coins = 183

50p coins =  164

20p coins = 549 - (183 + 164) = 202

value of the 549 coins in pounds (£) is given by

\(= 549 * \frac{1}{3} * 1 + 164* 0.5 + (549 *\frac{2}{3} - 164)*0.2\\\\= 183 + 82 +40.4\\\\= 305.4\)

Hence , the value of the 549 coins in pounds (£) is 305.4 .

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Answer:

x = 20

Step-by-step explanation:

The scale factor is 2.5. The arrow on the right is 2.5 times bigger than the arrow on the left. So, you would multiply 8 by 2.5 to find x.

8 x 2.5 = 20

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C) 6

Solution: 6.

Because the segments in the triangle are parallel, we can set up a proportion to solve for MN.

\(\frac{4}{10}=\frac{x}{15}\)

Answer:

0$

Step-by-step explanation:

PLATO

Answer:

  range = {5, 2, -1, -4}

Step-by-step explanation:

Maybe you want the corresponding range.

  f({-1, 0, 1, 2}) = 2 -3{-1, 0, 1, 2} = 2 +{3, 0, -3, -6} = {5, 2, -1, -4}

Answer:

it 46

Step-by-step explanation:

Answer:

yes.

Step-by-step explanation: