Please help me with this

a) The coefficient of variation (CV) for Brand A, is equals to the 2.8%.

b) The coefficient of variation (CV) for Brand B, is equals to the 2.0%.

c) Brand B, is more consistently produces tablets as advertised.

We have comparing data of consumer groups of vitamin C tablets of two brands. Tablets for each group were selected randomly. Data from above table, For brand A :

Tablets contains the quantity of vitamin C = 500 mg

Sample mean = 250

Standard deviation = 7

For brand B :

Tablets contains the quantity of vitamin C = 250 mg

Sample mean = 500

Standard deviations = 10

Cofficient of variation, CV is statistical parameter and it is the ratio of the standard deviation to the mean. Formula is, Coefficient of Variation (CV)

= (Standard Deviation/Mean) × 100.

a) To calculate the coefficient of variation (CV) for Brand A = (7/250 )×100

= 2.8%

b) To calculate the coefficient of variation (CV) for Brand B = (10/500 )×100

= 2.0%

c) As we see, Cofficient of variation of advertising for brand B is less than brand A. So, Brand B more consistently produces tablets as advertised.

Hence, required brand is brand B.

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Complete question:

consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table above shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10

a) Calculate the coefficient of variation (CV) for Brand A (1point)

b) Calculate the coefficient of variation (CV) for Brand B (1 point)

c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

The distance between city A and city C is 6.71 units.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

\(AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

A is located at (3,8) and a city B is located at (-3,20). Hence:

\(AB=\sqrt{(20-8)^2+(-3-3)^2}=13.42\)

Since city C is halfway between city A and city B, hence:

AC = 13.42 / 2 = 6.71 units

The distance between city A and city C is 6.71 units.

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The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).

Answer:

70

Step-by-step explanation:

The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

Answer:

$18,200

Step-by-step explanation:

To solve this, you would need to add 30% back to $14,000. To do that, simply multiply $14,000 by 30%. Remember that we will need to also change 30% into its decimal form (30% -> 0.3). $14,000 x 0.3 = $4,200 To find out how much the car was worth when Maggie first bought it, we simply add $4,200 to $14,000. $14,000 + $4,200 = $18,200

Hope it helps!

Answer: 8

Step-by-step explanation:

Using the formula \(A=\frac{1}{2}bh\),

\(A=\frac{1}{2}(8)(2)=\boxed{8}\)

Answer:

Steps and solution in the attached picture.

Step-by-step explanation:

Steps and solution in the attached picture.

Based on the information given, the probability that all three are correct will be 0.0000217.

From the information given, there are six multiple-choice questions, each with three possible responses.

If an individual is guessing the answers so that all outcomes listed in the tree are equally likely, the probability that the person will guess the one sequence that contains all six correct answers will be:

A = correct answer = 1/6

B = incorrect answer = 1 - 1/6 = 5/6

The probability of guessing the correct answer will be:

= 1/6 × 1/6 × 1/6 × 1/6 × 1/6 × 1/6

= 0.0000217

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Answer: See explanation

Step-by-step explanation:

A. What is the total amount to be paid at the time of the purchase?

This will be the selling price of the stereo with the tax and the deferral. This will be:

= $1052.75 + $40

= $1092.75

B) What is the amount of each monthly payment?

Each monthly payment will be gotten by dividing the total payment to be made by 12. This will be:

= $1092.75 / 12

= $91.06

Answer:

C. $755 i got it right

Step-by-step explanation:

If you make only the minimum payment each month, the total cost of the computer will be $755.00, which is $155 more than the original cost of the computer ($600).

percentage, a relative value indicating hundredth parts of any quantity.

To calculate the total cost of the computer if you make only the minimum payment each month, we need to use the simple interest formula:

A = P(1 + rt)

where A is the total amount paid, P is the principal or balance, r is the annual interest rate expressed as a decimal, and t is the time in years.

P = $600

r = 12.9% or 0.129 (annual interest rate)

t = 2 years

To find the monthly interest rate, we divide the annual interest rate by 12 (the number of months in a year):

Monthly interest rate = 0.129 / 12 = 0.01075

Now, we can use this monthly interest rate to calculate the minimum monthly payment:

Minimum monthly payment = 1% x P = 0.01 x $600 = $6

Therefore, the minimum monthly payment is $6.

To find the total cost of the computer over the 2-year period, we need to calculate the total amount paid (A) by making the minimum monthly payment each month:

A = P(1 + rt)

A = $600(1 + 0.01075 x 2 x 12)

A = $600(1 + 0.258)

A = $755.00

Therefore, if you make only the minimum payment each month, the total cost of the computer will be $755.00, which is $155 more than the original cost of the computer ($600).

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Answer:

Character 1: The only way to keep our economy growing is through fiscal policy. Government investment in infrastructure, research and development would create new jobs in the long-term and stimulate economic growth now.

Character 2: We have to take a more responsible approach in managing our country's finances. We should focus on monetary policy to keep the money supply in check and to keep inflation under control.

Character 1: Expansionary fiscal policy is necessary in a time of recession, or else businesses and households will be unable to increase demand and the economy will suffer even more.

Character 2: But fiscal policy leads to higher government spending and higher taxes, which reduces consumer spending and negatively affects the economy in the long run.

Character 1: Governments can implement reforms to ensure any spending is temporary and does not lead to long-term debt.

Character 2: I agree that temporary fiscal policies make sense, but this could potentially lead to debt if not managed correctly.

Character 1: And what about your suggestion? Monetary policy can be just as damaging when it comes to the long run if it fails to act quickly enough.

Character 2: Yes, but I believe it is the safer option since it doesn't involve borrowing and accumulating debt which can cause a lot of economic issues down the road.

Answer:

all real values of x where x < -1

The correct statement is all real values of x where x < -1.

Option A is the correct answer.

We have,

To determine the values for which the graph of the function

f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.

Let's consider the factors individually:

(x - 3): This factor is positive for x > 3 and negative for x < 3.

(x + 1): This factor is positive for x > -1 and negative for x < -1.

To determine the overall sign of the function, we need to consider the signs of both factors together.

When both factors are positive or both factors are negative, the function is positive.

When the factors have opposite signs, the function is negative.

From the above analysis, we can conclude the following:

When x > 3, both factors are positive, so the function is positive.

When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.

When x < -1, both factors are negative, so the function is positive again.

Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).

Thus,

The correct statement is all real values of x where x < -1.

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Bookworm publications can expect 2599.74 sales. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

It is believed that the four fundamental operations, often known as "arithmetic operations," may explain all real numbers. The four mathematical operations that produce the quotient, product, sum, and difference are division, multiplication, addition, and subtraction.

We are given that the sales in second year vary according to

S(x) = A₀ - (x + 600) / x²

Now, we are given that A₀ = 2600 and x = 50.

On substituting these values in the equation, we get

⇒S(50) = [2600 - (50 + 600)] / 50²

⇒S(50) = 2600 - (650 / 2500)

⇒S(50) = 2600 - 0.26

⇒S(50) = 2599.74

Hence, Bookworm publications can expect 2599.74 sales.

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Answer:

23000-5000y=x(value after time)

Step-by-step explanation:

To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.

The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.

This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.

The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.

This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.

In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.

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Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

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The function that correctly returns grades from 60 percent to a 100 percent is f(x) = [[(x - 50)/10]]

The question tells us that the students do not fail and they do not get a 100 percent score either.

Hence there is no need for worry if the grade is at 5.0 or less than 1.

For example we have

x = 82.976

f(82.976) =[[(82.976-50)/10]

This would then be 3.29

This is then = 3.0

This function is not an odd function and it is not an even function. This is because the domain does not have negative values.

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Answer:

0 -2, -1,0,1,2

Step-by-step explanation:

Answer:

0.675

Step-by-step explanation:

The percent of the bags of chips weigh less than 176 grams is b 16%

From the question, we have the following parameters that can be used in our computation:

Mean = 180

Standard deviation = 4

Bags of chips weigh less than 176 grams

This means that

x = 176

So, the z-score is

z = (176 - 180)/4

Evaluate

z = -1

The percent of the bags of chips weigh less than 176 grams is represented as

P = P(z < -1)

Using a graphing calculator, we have

Percentage = 0.15866

So, we have

Percentage = 16%

Hence , the percentage is 16%

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The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The location of the center of the circle is (h, k) = (4, 8) and the radius of the circle is equal to 2.5.

In this question we must determine the location of the center and the measure of the radius of a circle. According to Euclidean geometry, diameters are the longest possible chords of a circle. First, we determine the location of the center by definition of midpoint:

(h, k) = (1/2) · (4, 5.5) + (1/2) · (4, 10.5)

(h, k) = (4, 8)

And the radius is found by Pythagorean theorem:

\(d = \sqrt{(4 - 4)^{2}+(10.5-5.5)^{2}}\)

d = 5

r = 0.5 · 5

r = 2.5

The location of the center of the circle is (h, k) = (4, 8) and the radius of the circle is equal to 2.5.

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None of the choices on the list is correct.

Each piece is (8 and 1/6) inches long.

Answer: 5/7 of the kids chose New York or L.A.

Step-by-step explanation:

All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:

4/7 + 1/7 = 5/7