What happens when a distribution is skewed to the right?

Answers

Answer 1

Answer:

Step-by-step explanation:

A distribution is said to be skewed to the right (also known as positively skewed) if it has a longer tail on the positive side of the mean or median, indicating that the majority of the data values are on the lower end and there are a few large values on the higher end. This results in a mean that is larger than the median.

In other words, the right skew occurs when the tail of the distribution is located to the right side of the peak, which pulls the mean to the right as well. The presence of outliers or extreme values on the right side of the distribution can cause right skew.

Right-skewed distributions are common in data sets that represent measurements or quantities that have a minimum value of zero or a natural lower limit, but can increase without bound, such as income, wealth, and height.

In summary, when a distribution is skewed to the right, it has a higher mean and lower median compared to a symmetrical distribution, and the majority of the data is concentrated on the left side.


Related Questions

The regular price on a pair of jeans is $54. The store advertises a back to school sale at 40% of the regular price of the jeans. Two weeks later, the store advertises a sale at an additional 20% off the sale price of the jeans. Two friends decided to purchase the jeans. Shannon says these jeans are now 60% of the regular price. Mary disagrees because she figures that the total discount is less than 60%. What is the cost of the jeans at the 40% off back-to-school sale. What is the cost of the jeans during the additional 20% off sale.

Answers

Answer:

See explanation

Step-by-step explanation:

40% of the original $54 is $21.60, therefore the pants are $21.60 off of their original price. This makes the pants $32.40.

20% of the new $32.40 is $6.48, therefore the pants are $6.48 off of the 40%-off price. This makes the pants $25.92 for their final price.

the measure of the larger angle is 12 less than 3 times the measure of the smaller angle

Answers

Answer:

Let x be the measure of the smaller angle. Then the measure of the larger angle is 3x - 12.

We can write this as an equation:

larger angle = 3 * smaller angle - 12 or 3x - 12 = larger angle.

Alternatively, we can write it as:

smaller angle + larger angle = 180 (since they form a straight line)

Substituting larger angle with 3x - 12, we get:

x + 3x - 12 = 180

Simplifying:

4x - 12 = 180

4x = 192

x = 48

Therefore, the measure of the smaller angle is 48 degrees, and the measure of the larger angle is 3(48) - 12 = 132 degrees.

The measure of the larger angle is 12 less than 3 times the measure of the smaller angle x = 48

What is angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’ meaning “corner.”

Angles can mean is an acute angle.

Let smaller angle = x

Larger angle = 3x - 12

x & (3x - 12) are supplementary

So, x + 3x - 12 = 180°

4x - 12 = 180

4x = 180 +12

4x = 192

x = 192/4

x = 48°

Hence, the measure of the larger angle is 12 less than 3 times the measure of the smaller angle x = 48

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I really need the answer for this. My teacher about to grade it. Yall please help me out.

Answers

Answer: i think that its D

Step-by-step explanation:

im really sorry if its wrong

Answer:

Step-by-step explanation:

Take my answer with a grain of salt as this is an educated guess based on the problem.

The exponentiation rule for raising a power to another power (a^b)^c = a^{bc} therefore a power to a power is equal to the powers multiplied together.  so if the base is equal to (32/5) and the power is -2x. some number raised to the x is equal to (32/5)^-2x therefore because -2^x is equal to -2x the answer is B which is the original base (32/5) with the exponent -2 when raised to the x will be equal to (32/5)^-2x.

Therefore, B is the answer

The volume of a cylindrical concrete pillar is approximately 12,042 cubic centimeters. The diameter of the pillar is 10 centimeters.

What is the height of the pillar? Use π ≈3.14 .

Answers

The height of the cylindrical concrete pillar is approximately 153.2 centimeters.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as;

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

We are given that;

Diameter of pillar= 10cm

Volume = 12,042 cubic centimeters

Now,

First, we need to find the radius of the pillar. The diameter of the pillar is given as 10 centimeters, so the radius is half of that:

r = 10/2 = 5 centimeters

Now we can substitute the given volume and radius into the formula and solve for the height:

12,042 = π(5)^2h

Divide both sides by π(5)^2:

h = 12,042 / (π(5)^2)

h ≈ 153.2 centimeters (rounded to one decimal place)

Therefore, by the given volume the answer will be 153.2 centimeters.

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Ms. Hart wrote the expression s – 11.
Write a sentence about a real-life situation that matches this expression.

Answers

Answer:

Jack has a toy poodle names Lucy. He is supposed to feed Lucy 11 ounces of dog food a day. He has s ounces of food in the bag he bought for the month. The amount of dog food left in the bag after feeding Lucy today is represented by s-11.

Every morning, a deli offers a “commuter special” in which customers can select a pastry, beverage, and a copy of one of the local papers and pay $1.00. Their options are listed in the table.

Commuter Special
Pastry
Beverage
Paper
Donut
Coffee
The Times
Brownie
Milk
The Herald
Muffin
Tea

Scone
Orange Juice

Croissant


Last Tuesday, the deli did not have any muffins. How did that affect the number of possible combinations?
It decreased the number of combinations by 1.
It decreased the number of combinations by 4.
It decreased the number of combinations by 8.
It decreased the number of combinations by 10.

Answers

it would decrease and then increase because of the gross amount 1.46

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. (5 points)

coordinate plane showing the point 1, 8, point 2, 4, point 4, 1, and point 5, .5
an = 8(one half)n − 1; average rate of change is −3
an = 10(one half)n − 1; average rate of change is 3
an = 8(one half)n − 1; average rate of change is 3
an = 10(one half)n − 1; average rate of change is −3

Answers

The sequence is an = 8(one half)n − 1, and the average rate of change from n = 1 to n = 3 is -3.

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
The sequence graphed below is a geometric sequence with the first term a1 = 8 and the common ratio r = 1/2. The sequence can be expressed as:

an = 8(1/2)^(n-1)

To find the average rate of change from n = 1 to n = 3, we need to calculate the difference between the third term and the first term, and then divide by 2 (since there are two terms between n = 1 and n = 3):

an = 8(1/2)ⁿ⁻¹

a₁ = 8(1/2)¹⁻¹ = 8

a₃ = 8(1/2)³⁻¹) = 2

Average rate of change from n = 1 to n = 3:

= (a₃ - a₁) / (3 - 1)

= (2 - 8) / 2

= -3

Therefore, the sequence is an = 8(one half)n − 1, and the average rate of change from n = 1 to n = 3 is -3.

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Follow the given steps to subtract mixed numbers with different denominators: Step 1– Convert the mixed numbers into improper fractions. Step 2– Find the common multiple of both the denominators. Step 3– Convert the fractions as common denominators.

Answers

The steps for subtracting mixed numbers are the transformation of improper fractions, subtraction of denominator, then subtracting numerator, making it the smallest term, and reverse.

Finding the difference between two mixed numbers is required when subtracting mixed numbers. The steps for subtracting mixed numbers are as follows:

Step 1: Transform the mixed values into improper fractions in step 1. To achieve this, divide the total by the denominator, then add the numerator. The new numerator is the outcome, and it is positioned above the denominator.

Step 2: Identify a common denominator in step two. You must identify a common denominator to subtract fractions with various numerators.

Step 3: Subtract the fractions in step three. Subtract the numerators from the fractions while maintaining the same denominator.

Step 4: Make the outcome simpler. Simplify the outcome if you can by breaking the fraction down into its smallest terms. 13/4 in this instance may be expressed as 3 1/4.

Step 5: Reverse the incorrect fraction to a mixed number in step 5. Divide the numerator by the denominator to return the improper fraction to a mixed number. The full number serves as the numerator, and the remainder serves as the quotient.

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The question is -

How to Subtract mixed numbers?

Number of terms: 8 - 4c

Answers

The Number of terms in the expression 8 - 4c is 2.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

We are given an expression as;

8 - 4c

Here c is the variable.

The first one is 8 and the second one is 4c

Therefore, number of terms are 2

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the correlation coefficient will always take values

Answers

The correlation coefficient can take values between -1 and 1, inclusive. A correlation coefficient of -1 indicates negative correlation and 1  indicates positive correlation.

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as the values of one variable increase, the values of the other variable decrease. A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as the values of one variable increase, the values of the other variable also increase.

A correlation coefficient of 0 indicates no correlation, meaning that there is no relationship between the two variables. Correlation coefficients can take any value between -1 and 1, inclusive, including fractional and decimal values.

Positive values indicate positive correlation, negative values indicate negative correlation, and values close to 0 indicate little or no correlation. The magnitude of the correlation coefficient indicates the strength of the relationship between the two variables.

The closer the coefficient is to 1 or -1, the stronger the relationship between the variables.

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5.) Yesterday your friend made needs to make 3 more gallons of the same shade. She 1 gallon of dark pink paint using the information in the table. Today she
white tint to 3 gallons of base paint. Explain the error in her reasoning. says that she should add 9 parts red tint and 2 parts

Answers

Our friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.

What is painting?

Painting is the practice of applying paint, pigment, color or other medium to a solid surface.

To mix 3 gallons of pink paint we must take into account the following information:

1 gallon of pink paint is equal to 3 parts red paint and 1 part white paint.

To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.

Red paint:

3 x 3 = 9

White paint:

1 x 3 = 3

Therefore, we need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.

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The question is in the picture.

Answers

Answer:

x = 3 , y = 8

Step-by-step explanation:

Consider the figure to be a parallelogram.

• opposite sides of a parallelogram are congruent

then

8x = 5x + 9 ( subtract 5x from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

and

7y - 16 = 5y ( subtract 5y from both sides )

2y - 16 = 0 ( add 16 to both sides )

2y = 16 ( divide both sides by 2 )

y = 8

A rocket is launched from the top of an 88-foot cliff with an initial velocity of 100 ft/sec. a. Use the vertical motion formula h(t) = -16t2 + vt + c to write an equation that represents the height of the rocket with respect to time. b. Determine how long the rocket will take to hit the ground at the base of the cliff (h = 0) after it is launched. Round to the nearest hundredth of a second.

Answers

Answer:17

Step-by-step explanation:

i took the test

Find the value of each variable using the properties of a parallelogram

Answers

The value of x is 10.

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Parallelogram has the property that the consecutive or adjacent angles of a parallelogram are supplementary.

That is, they sum up to 180°.

Here, (6x)° and (12x)° are supplementary.

6x + 12x = 180

18x = 180

x = 10

Hence the value of x is 10.

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CROWN PLEASE HELP ME (ALSO PLEASE SEPARATE IT)

Answers

Answer: WVZ=84 XVW=84   IFH= 14 EFG= 58

Step-by-step explanation:

9x-15=5x+29- do 9-5 to get 4x then 29+5 to get 44 then divide 44 by 4

6x+25=2x+3- do 6-2 to get 4x then 3-25 to get -22 then divide -22 by 4

When y^3 is plotted against x, a straight linegraph is obtained, passing through the points (1,5) and (6,15). find y in terms of x

Answers

Answer: y in terms of x is y = 5x + 5.

Step-by-step explanation:

Since the graph of y^3 against x is a straight line passing through the points (1,5) and (6,15), it means that y^3 can be modeled as a linear equation in terms of x.

Let's call the slope of the line m and the y-intercept b. We can find the values of m and b using the two points (1,5) and (6,15).

Using the point-slope form of a linear equation, we can write:

y - 5 = m(x - 1)

Substituting (6,15) into the equation:

15 - 5 = m(6 - 1)

So, m = 5.

Next, we can use the slope-intercept form of a linear equation to write y in terms of x:

y = mx + b

Substituting the values of m and b:

y = 5x + 5

So, y in terms of x is y = 5x + 5.

solve please i need help am failing class will give brainliest for the
correct answer

Answers

Answer:

9 a3 b8

Step-by-step explanation:

109 a11 b16 - 100 a8 b8

In theâ U.S., shoe sizes are defined differently for men andâ women, but inâ Europe, both genders use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female collegeâ students, converted from their reported U.S. shoe sizes.âa) Describe the shape.âb) How many modes does the histogramâ have? What might explainâ that?

Answers

a) The shape of the histogram appears to be roughly symmetric and bimodal.

b) The histogram appears to have two modes, explanation is given below.

c) D option is correct.

a) The shape of the histogram appears to be roughly symmetric and bimodal.

b) The histogram appears to have two modes, which may be due to the fact that the data includes both male and female students. The two modes may correspond to the average shoe sizes for men and women, respectively.

c) D option is correct. The distribution has two modes from 38 to 40 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.

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____ The given question is incomplete, the complete question is given below:

In the U.S., shoe sizes are defined differently for men and women, but in Europe, both genders use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes.

a) Describe the shape.

view the histogram (The distribution is roughly symmetric and bimodal.)

b) How many modes does the histogram have? What might explain that?

c) Choose the correct answer below.

A. The distribution is multimodal, with modes from 38 to 40, from 44 to 46, and from 48 to 50. This may be due to having data for both men and women. The first two modes might be for women and the third for men.

B. The distribution has one mode from 44 to 46. This is due to the students having roughly the same mean shoe size.

C. The distribution has one mode from 38 to 40. This is due to the students having roughly the same mean shoe size.

D. The distribution has two modes from 38 to 40 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.

E. The distribution has two modes from 34 to 36 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.

F. The distribution is multimodal, with modes from 34 to 36, from 40 to 42, and from 43 to 50. This may be due to having data for both men and women. The first two modes might be for men and the third for women

G. The distribution does not have any modes, because it is uniform i Shoe Sizes Count.

Use the function to find the zeros. One factor is given.
f(x)=2x³ +x²-5x+2, the given factor is (x+2)

Answers

Answer: x = 0, 2 or 3/2 (look at the image for the solution)

Step-by-step explanation:

eric reads an article that says 15 out of 25 adults use their computer everyday. He collects data from a random sample of adults. Out of 1,270 adults, estimate the number of adults who use their computer every day. Please show your work!

Answers

The number of people that read their computer everyday out of 1270 surveyed adults using the given fraction is; 762 people

How to solve fraction problems?

Wea re told that eric reads an article that says 15 out of 25 adults use their computer everyday. Thus, fraction of those that read their computer everyday = 15/25

Now, to find the number of people that read their computer everyday out of 1270 surveyed adults using the article fraction is;

15/25 * 1270 = 762 people

This represents the number of people that read their computer everyday

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Answer:

Step-by-step explanation:(:;44(()6)!

pls helppppp its math and its pretty hard
A maintenance worker needs to wax a restaurant floor shaped like the image shown. A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet. If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor? $1,224.75 $1,569.75 $2,104.50 $2,449.50

Answers

If the wax cost $1.38 a square foot, the cost of wax to cover the area of the floor is $1,569.75.

The correct option is B.

What is the total area of the floor?

The total area of the floor is calculated from the shape of the floor.

The floor is made up of a trapezoid and a rectangle.

The area of a trapezoid can be calculated as:

A = (a + b)/2 * h

where

a and b are the lengths of the bases and h is the height.

The trapezoid has a height of 15 feet and bases of 35 feet and (20 - 20) or 10 feet. So its area is:

A = (35 + 10)/2 * 15

A = 337.5 square feet

The rectangle has a base of 20 feet and a height of 40 feet. So its area is:

A =20 * 40

A = 800 square feet

The total area of the figure is the sum of the areas of the trapezoid and triangle:

A = 337.5 + 800

A = 1137.5 square feet

Finally, to find the cost of the wax, we multiply the area by the cost per square foot:

Cost = 1137.5 * $1.38

Cost  = $1569.75

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Kingsley knows that 1 inch is about 2.54 centimeters.He wants to write an equation he can use to convert any given length in inche (I) to centimeters (c)

Answers

The equation of conversion between the length y inches to centimeters is y inches = 2.54y centimeters.

What is the relation between inches and centimeters?

Both the inches and centimeters are units of length, where the inch is an ES unit and the centimeter is a CGS unit. They are connected by the relation, 1 inch equals 2.54 centimeters.

Let, the length is y inches.

It is known that 1 inch = 2.54 centimeters. So, convert the y inches to centimeters.

y inches = y×1 inch

= y×2.54 centimeters

= 2.54y centimeters

Therefore, the obtained answer is y inches = 2.54y centimeters, where y is the length of an object.

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When a number is increased by ten, the result is
three times the number. What is the number?

Answers

Answer:

used to works by in BBC FDA's in BBC FDA's keep that u now u now u now how to be successful so do it.

Step-by-step explanation:

no exception

Question
Andre calculated the volume of a cylinder. Andre said, “I found the area of a circular cross section and multiplied it by the cylinder’s height.”

Do you agree with Andre's strategy? Explain your reasoning.

Answers

Yes, I agree with Andre's strategy for calculating the volume of a cylinder.

The volume of a cylinder is equal to the area of the base (which is a circle) multiplied by the cylinder's height. This formula is expressed as follows:

Volume = r2h, where r is the radius of the circular base and h is the cylinder's height.

We can use the following formula to calculate the area of the circular base:

Area = r2

So, if we multiply the area of the circular base by the cylinder's height, we get:

Volume = r2h is the formula for calculating the volume of a cylinder.

As a result, Andre's strategy of calculating the volume of a cylinder by finding the area of a circular cross section and multiplying it by the height of the cylinder is valid and correct.

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l
Charlie is saving money to buy an everlasting gobstopper. He estimates that he will need $13.50. However, he forgot about the added
sales tax. The actual price of his gobstopper is $15.25. What is Charlie's percent error? (ROUND TO THE NEAREST TENTH)

Answers

The percentage error of Charlie is given by the equation A = 13 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage error of the gobstopper be A

Now , the initial price of the gobstopper = $ 13.50

The final price of the gobstopper = $ 15.25

Now , the equation will be

The percentage error A = ( final price - initial price / initial price ) x 100

The percentage error A = [ ( 15.25 - 13.50 ) / 13.50 ] x 100

The percentage error A = ( 1.75 / 13.50 ) x 100

The percentage error A = 0.1296 x 100

The percentage error A = 12.96 %

The percentage error A = 13 %

Hence , the percentage error is 13 %

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A line passes through the coordinates (0,1) and 4,3). What is the y-intercept for the line in slope-intercept form

Answers

The equation of the line is y = ( 1/2 )x + 1 and the y intercept is b = 1

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 1 )

Let the second point be Q ( 4 , 3 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 3 - 1 ) / ( 4 - 0 )

Slope m = 2/4

Slope m = 1/2

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 1 = ( 1/2 ) ( x - 0 )

y - 1 = ( 1/2 )x

Adding 1 on both sides , we get

y = ( 1/2 )x + 1

Hence , the equation of line is y = ( 1/2 )x + 1

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The diagram shows a tennis ball, centre O, resting on a flat surface PQR. A ruler, PTS, rests on the ball at T. PT = 20 cm and ZTPQ = 30°. Calculate the radius of the tennis ball correct to the nearest millimetre. P 20 30°​

Answers

The radius of the ball which is the each of the smaller balls is R = 2r.

What is  volume of circle?

The formula for the volume of a sphere is V = 4/3 π r³, where V = volume and r = radius. The radius of a sphere is half its diameter. So, to calculate the surface area of a sphere given the diameter of the sphere, you can first calculate the radius, then the volume.

We can use the following formula to get the volume of a sphere whose radius is "r": A sphere's volume is equal to 4/3r³.

here, we have,

Given,

A steel ball which is melted down to make eight smaller identical balls.

If the radius of the original steel ball was 20 cm:

Let the spherical ball's radius be R.

And with r being the radius of 8 similar balls,

According to the inquiry,

Volume of 8 similar balls = the volume of a larger sphere

3/4πR³ = 8 × 3/4πr³

R³ = 8r³

R = 2r

Hence, The radius of the ball which is the each of the smaller balls is R = 2r.

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In the year 2002, a company made $6.5 million in profit. For each consecutive year after that, their profit increased by 5%. How much would the company's profit be in the year 2004, to the nearest tenth of a million dollars?

Answers

7.2 million is the company's profit be in the year 2004.

What is Percentage?

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

To find the company's profit in the year 2004

We have to first calculate its profit in the year 2003.

We know that its profit in 2002 was $6.5 million, so we can use the formula:

Profit in 2003 = profit in 2002 + (5% of profit in 2002)

= $6.5 + (0.05 x $6.5 )

= $6.825 million

Now, to find the profit in 2004, we use the same formula:

profit in 2004 = profit in 2003 + (5% of profit in 2003)

= $6.825  + (0.05 x $6.825 )

= $7.16625 million

profit in 2004=$7.2 million

Hence, 7.2 million is the company's profit be in the year 2004.

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Function w is a nonlinear function. Which representation could represent function w?

Answers

A representation that could represent function w (nonlinear function) is: D. table D.

What is a linear function?

In Mathematics, a linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, a linear function has the same slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.

Therefore, table D represents a non-linear function because the slope is not constant and the common difference is not constant between successive data points.

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10, 110, 210, 310, …
find a^30

Answers

The 30th term value is 2900.

What is an arithmetic sequence?

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:
A sequence,

10, 110, 210, 310, …

To find the common difference:

110 - 10 = 100

So, d = 100

Remember that,

aₙ= a₁ + (n-1)d

aₙ=a₁+(n−1)d

So,

aₙ = 10 +(n−1)100.

a₃₀ = 10 + (30 - 1)100

a₃₀ = 10 + 29(100)

a₃₀ = 10 + 2900

a₃₀ = 2910.

Therefore, a₃₀ = 2910.

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