the base of a solid is the region bounded by the ellipse $$. find the volume of the solid given that cross sections perpendicular to the $$-axis are:

Answer:

17

Step-by-step explanation:

The original price was $20, so the discount price would be 20 * 15% = $3.

Therefore, the sale price would be 20 - 3 = $17.

Answer:

I'm not an expert, but I would choose option A

To determine the price of the keyboard with the coupon, we need to know how much Tiana spent. Let's call the original price of the keyboard "x".

According to the coupon, Tiana will receive a discount of $150 for every $500 spent. So, if she spends x dollars, she will receive a discount of (x/500) * $150.

The price of the keyboard with the coupon will then be x - (x/500) * $150.

Since the original price is not specified, we cannot determine the exact price of the keyboard with the coupon.

The amount in the account after 18 years will be about $24,459.2.

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

Final amount in a compound interest can be calculated as,

A = P (1 + [tex]\frac{r}{n}[/tex] ) ^ (n t)

Here, A is the final amount, P is the principal amount, n is the number times interest is compounded in a year, r is the rate of interest and t is the time in years.

Here, P = $10,000

r = 5% = 0.05

n = 4, since the compounding is quarterly

t = 18 years

Substituting,

A = 10,000 (1 + [tex]\frac{0.05}{4}[/tex])^ (4 × 18)

  = 10,000 (1.0125)⁷²

  = 24,459.2

Hence there will be an amount of $24,459.2 in the account after 18 years.

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A square is any rectangle with four similar sides: TRUE

Rhombuses are all quadrilaterals: FALSE

A parallelogram exists in every square: FALSE

A square exists in every quadrilateral: TRUE

A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices).

The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.

In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon).

The square is the only quadrilateral that is regular (all sides and angles are equal).

Therefore, every other quadrilateral is irregular.

A square is any rectangle with four similar sides.

Not all rhombuses are quadrilaterals.

Not all squares are parallelograms.

A square exists in every quadrilateral.

Therefore, a square is any rectangle with four similar sides: TRUE

Rhombuses are all quadrilaterals: FALSE

A parallelogram exists in every square: FALSE

A square exists in every quadrilateral: TRUE

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The statement which best describes the function is The function is negative when x < 0, the correct option is B.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

Given;

The graph of the function

Now

We can say that the graph is negative when x<0

The function is never negative is false

The function is negative when x > 0 false

The function is negative when x < 0 and when x > 0 false

Therefore, the function will be negative when x<0.

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The probability of the spinner not stopping at a white section 0.82.

The probability of the spinner not stopping at a white section is 1 minus the probability of the spinner stopping at a white section.

= 1 - probability of the spinner stopping at a white section

Since there are 2 white sections out of 11 total sections, the probability of stopping at a white section

= required outcome / possible outcome

= 2/11.

Therefore, the probability of not stopping at a white section

= 1 - 2/11

= 9/11.

Rounded to the nearest hundredth, this value is 0.82.

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Answer:

Below

Step-by-step explanation:

Value will be original value * ( 1 + i)^n      i = decimal annual interest

                                                                      n = years

  Value = 300 ( 1 + .07)^10 = 590.15  (dollars ?)

Answer:

Step-by-step explanation:

Area = l x w

Area = 25 x 12

Area = 350sqm²

The area of the figure made up of a semicircle and a triangle is 63.25 ft²

An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.

The figure is made up of a semicircle and a triangle.

The semicircle has a diameter of 10 feet. Hence:

Area of semicircle = (1/2) * π * diameter²/4

Substituting:

Area of semicircle = (1/2) * π * 10²/4 = 39.25 ft²

The triangle has a base of 8 ft and height of 6 ft. hence:

Area of triangle = (1/2) * base * height

Substituting:

Area of triangle = (1/2) * 8 ft * 6 ft = 24 ft²

The area of the figure = Area of triangle + Area of semicircle

Area of figure = 24 ft² + 39.25 ft² = 63.25 ft²

The area of the figure is 63.25 ft²

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The number of possible outcome is 4 ( option C)

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Probability = Sample space / total possible outcome

In 2 free throws of either missing or scoring.

Represent missing by M and scoring by S

The outcome of the two throws can be:

MS , SM, SS, MM

Therefore the total possible in outcome is 4

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Answer:

20/6 = 3.33

20 - 6 = 14

Equation: y= x × 2 + 20

4 = $28

7 = $34

10 = $40

x is the number of kites purchased, and its $2 dollars for one kite. There is a $20 shipping fee added on.

The Sum of interior angles is, 2160°.

The sum of the exterior angles of a 14-sided polygon is 360°

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

Given:

A polygon with 14 sides.

The Sum of interior angles = (n - 2) × 180°

= 12 x 180

= 2160°

The sum of the exterior angles of a 14-sided polygon is 360°

Therefore, all the required values are given above.

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The standard deviation for the given data is 5

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

Given that,

the data,

X            Xₙ - X₀            (Xₙ - X₀)²

18            -7                      49

21             -4                      16

24            -1                        1

24            -1                        1

25             0                       0

31              6                      36

32            7                     49  

175                                  152

X₀  = 175/7 = 25

Variance  =    (Xₙ - X₀)²/(n-1)

                 =  152/(7-1)

                 =   25.33

Standard deviation =  √Variance

                                =  √25.33

                                =   5.03

Hence, the standard deviation is 5

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The required volume of the earth in cubic kilometers as per given hectares of land and its depth is equal to 0.0261 km³.

Hectare of land consumed by an open -pit coal mine = 87 hectares

Convert hectare into square meters

1 hectares = 10⁴ square meter

87 hectares = 87 × 10⁴ square meter

Depth = 30 m

Area of land = 87 × 10⁴ square meter

Volume of earth = area of land × depth

⇒ Volume of earth = 87 × 10⁴ m² × 30 m

⇒ Volume of earth = 261 × 10⁵ m³

1 kilometer = 10³meters

⇒1m³ = 10⁻⁹ km³

Volume of the earth = 261 × 10⁵ × 10⁻⁹ km³

⇒Volume of the earth = 261 × 10⁻⁴ km³

                                     = 0.0261 km³

Therefore, the volume of the earth as per given area of land and depth is equal to 0.0261 km³.

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The graph presents information gathered through a survey or questionnaire, and the information is presented as a percentage to show the proportion of participants who answered in a particular way.

Percentage is a mathematical concept that represents a proportion of a whole as a fraction of 100. It is used to express how much of a whole something is and is commonly used in statistics and data analysis.

The bar graph shows three different percentages: 1.59%, 17.46%, and 25.4%. To verify these percentages, we need to know the total number of participants who answered the question and the number of participants who answered in a particular way.

If 100 participants answered the question, then 1.59% would represent 1.59 participants, 17.46% would represent 17.46 participants, and 25.4% would represent 25.4 participants.

It is important to consider whether the percentages reported in this graph are likely to be representative of all people.

This will depend on a number of factors, including the sample size, the method used to select participants, and the representativeness of the sample in relation to the population as a whole.

If the sample size is small, or if the participants were selected in a biased way, then the percentages may not be representative of all people.

If, however, the sample size is large and the participants were selected randomly, then the percentages may be representative of the population as a whole.

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In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. the 90% confidence interval for the levels of lead is between (0.4958, 0.7422).

p is 26/42=0.6190

rootp(1-p)/n=root0.6190(1-0.6190)/42=0.0749

satisfies that above this and under the standard normal density there is an area of 0.05. In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. the 90% confidence interval for the true population proportion of water specimens that contain detectable levels of lead is between (0.4958, 0.7422).

Density is the number of things—which could be people, animals, plants, or objects—in a certain area. To calculate density, you divide the number of objects by the measurement of the area. The population density of a country is the number of people in that country divided by the area in square kilometers or miles.

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A plurality of magnitude can represent the property of number or amount, which exhibits both discontinuity and continuity and in the given situation, we would pay a quantitative amount to the seller.

A property called quantity or amount can take the form of a plurality of magnitude, which shows both discontinuity and continuity.

Comparing quantities can be done by using phrases like "greater," "less," or "equal," as well as by assigning a numerical value that is a multiple of the unit of measurement.

Among the well-known examples of quantitative qualities are mass, time, distance, heat, and angle.

Along with quality, substance, change, and relationship, quantity is one of the fundamental categories of things.

Some quantities serve as states (properties, dimensions, qualities) of things like heavy and light, long and short, broad and narrow, little and large, or much and little, while others are such by their very nature (as numbers).

Therefore, in the given situation, we would pay a quantitative amount to the seller.

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Correct question:

J.D. Power and Associates surveys new automobile owners to learn about the quality of recently purchased vehicles. The following questions were asked in the J.D. Power Initial Quality Survey, May 2012.

What Price did you pay?

Answer:x = 7

Step-by-step explanation:

To solve the equation 9x = 7(x + 2), we can first expand the expression inside the parentheses:

9x = 7x + 14

Next, we can isolate x by subtracting 7x from both sides:

2x = 14

Finally, we can divide both sides by 2 to find the solution:

x = 7

The equation represents the relationship between x and y is y = 5x + 3

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

The table of values

On the table of values, we can see that

y is 3 more than five times x

When represented as an equation, we have

y = 5x + 3

Hence, the equation is y = 5x + 3

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Answer: He has 290 dollars.

Step-by-step explanation:

3 x 20 is 60

300-60 is 240

240 + 50 is 290.

The overall change is 110 dollars.

given information are :- test mean () = 25.5 populace sd () = 5.3 example size (n) = 360 a).z critical value for 95% confidence level,

both followed tests be:- the 95% confidence interval for the mean load of every one of the one-year-old child young men in the US.

To get a 95% confidence interval, we should incorporate the focal 90% of the probability of the normal distribution. On the off chance that we incorporate the focal 90%, we leave out a sum of α = 10% in the two tails, or 5% in each tail, of the normal distribution.

To catch the focal 95%, we should go out 1.645 "standard deviations" on one or the other side of the determined example mean. The value 1.645 is the z-score from a standard normal probability distribution that puts an area of 0.90 in the middle, an area of 0.05 in the extreme left tail, and an area of 0.05 in the extreme right tail.

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The complete question is:

According to the National Health Statistics Reports, a sample of 360 one-year-old baby boys in the United States had a mean weight of 25.5 pounds. Assume the population standard deviation is σ = 5.3 pounds.

a. Construct a 95% confidence interval for the mean weight of all one-year-old baby boys in the United States

b. Should this confidence interval be used to estimate the mean weight of all one-year old babies in the United States? Explain.

c. Based on the confidence interval constructed in part (a), is it likely that the mean weight of all one-year-old boys is less than 28 pounds?

The pattern associated with the scatter plot is given as follows:

There is a positive nonlinear association.

The scatter plot shows a series of points in (input, output) format, in which the input is the time studying in minutes and the output is the grade.

As the increasing graph shows, the more a person studies, the better the grade, hence there is a positive relationship among the variables.

The increase is slow initially while it has a higher rate for a higher number of minutes, hence the association is also nonlinear.

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The system of equation  y = 4x - 1 and 12x - 3y = - 1 has no solution.

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

The given system of equation is y = 4x - 1 and 12x - 3y = - 1.

Multiplying equation (i) by 3 and adding it to equation (ii) we have,

 3y =   12x - 3

- 3y = - 12x - 1

____________

  0 =     0 -  4

But 0 ≠ - 4 so, The system of the equations has no solution.

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The new length of the living room floor would be 14.4 meters and the new width would be 6 meters.

1. Original Length = 12 meters  

2. Original Width = 5 meters

3. Increase by 20%

4. New Length = 12 + (20% of 12) = 12 + 2.4 = 14.4 meters

5. New Width = 5 + (20% of 5) = 5 + 1 = 6 meters

The original length of the living room floor was 12 meters and the original width was 5 meters. The owner decided to increase the living room dimensions by 20%, so the new length of the living room floor is 14.4 meters and the new width is 6 meters. This is calculated by adding 20% of the original length and width to the original values. For the length, this is 12 + (20% of 12) which is 12 + 2.4 = 14.4 meters. For the width, this is 5 + (20% of 5) which is 5 + 1 = 6 meters. The increase of 20% in the dimensions of the living room floor makes it look more spacious and inviting.

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Answer:The linear function f with the given points is: f(x) = 3.

The linear function is a straight line that passes through two points (0, 3) and (-6, 3). This means that the equation of the line is given by y = mx + c, where m is the gradient of the line and c is the y-intercept. In this case, the 0,3 and -6,3 points have the same y-value, so the y-intercept is equal to 3.

To find the gradient of the line, we must use the formula m = (y2-y1)/(x2-x1). Therefore, the gradient of the line is m = (3-3)/(-6-0) = 0, meaning that the equation of the line is y = 3.

Step-by-step explanation:

The linear function f with the given points is: f(x) = 3.

The linear function is a straight line that passes through two points (0, 3) and (-6, 3). This means that the equation of the line is given by y = mx + c, where m is the gradient of the line and c is the y-intercept. In this case, the 0,3 and -6,3 points have the same y-value, so the y-intercept is equal to 3.

To find the gradient of the line, we must use the formula m = (y2-y1)/(x2-x1). Therefore, the gradient of the line is m = (3-3)/(-6-0) = 0, meaning that the equation of the line is y = 3.

Darren's salary will be $102,724.24 in 9 years.

Annual salary can be defined as the amount of money a company pays you in exchange for the job you do during the year.

We can calculate Darren's salary in 9 years by multiplying his current salary by (1 + 5.5%) raised to the power of 9.

The formula would look like this:

Salary in 9 years = $66,648 * (1 + 0.055)^9

Plugging in the numbers and using a calculator, we get:

Salary in 9 years = $66,648 * 1.55946429

Salary in 9 years = $102,724.24

So, Darren's salary will be $102,724.24 in 9 years.

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Answer:

x = 4/7 and y = 48/7

Step-by-step explanation:

We need to solve the system of equations using elimination method

-3x + 2y = 12....... equation 1

9x + y = 12...........equation 2

Multiply the 2nd equation with 2

18x + 2y = 24 ............equation 3

Now, subtracting equation 3 from equation 1

- 3x - 18x + 2y - 2y = 12 - 24

-21x = 12

x = 12/21 = 4/7

-3(4/7) + 2y = 12

-12/7 + 2y = 12

2y = 12 + 12/7

2y = 96/7

y = 48/7

Therefore, the   system of equations using elimination. −3x + 2y = 9 x + y = 12 is x = 4/7 and y = 48/7