In 2011, the total number of cars produced in the world was 59.9 million.
In 2016, the total number of cars produced in the world was 21% greater than the total
number produced in 2011
In 2016, the total number of cars produced in the world was N million.
(b) Work out the value of N.
Give your answer correct to the nearest whole number.

An observed effect (the difference between the observed value and the claimed value) is statistically significant if it is unlikely to have occurred due to chance variation.

An observed effect is statistically significant if it is unlikely to be due to chance variation, which means that the probability of observing such a large difference between the observed value and the claimed value purely by chance is very small.

In statistical hypothesis testing, this probability is quantified by a p-value, which is the probability of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true.

If the p-value is less than a pre-specified significance level (e.g., 0.05), the null hypothesis is rejected, and the observed effect is deemed statistically significant.

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The area of the circle in the graph is 113 square units.

Remember that for a circle of radius R, the area is given by the simple formula you can see below.

A = pi*R²

Where pi = 3.14, so we can use this formula to find the area of the circle.

On the diagram we can see that the radius of the circle is:

R = 6 units

Replacing that in the area formula we will get.

A = 3.14*(6 units)²

A = 113.04 units ²

The correct option is the third one.

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The correct statements for the given probability are-

The following are the key concepts for probability problems to understand:

Given condition:

Total number of card in deck = 52

Total black cards = 26

Total diamonds = 13

So,

probability ( black card ) = total black card / total cards

probability ( black card ) = 26 /52

probability ( black card ) = 1/2

probability (diamond )  = total number of diamond cards / total cards

probability (diamond )  = 13/ 52

probability (diamond ) = 1/4

probability (compound event) = probability (black  and diamond)

probability (compound event) =  1/2 * 1/4

probability (compound event) = 1/8

Thus, The correct statements for the given probability are-

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Complete question:

From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which THREE statements are correct for the outcome of the event?

A) The probability of drawing the black card is 1/2

B) The probability of drawing the diamond is 1/4

C)The probability of the compound event is 1/6

D) The probability of the compound event is 1/8

E) The probability of the compound event is 3/4 ​

False. The environmental lapse rate, which changes based on various variables like humidity and atmospheric stability, is the real rate at which temperature decreases with increasing altitude in the atmosphere.

The pace at which a parcel of dry air cools as it ascends in the atmosphere, on the other hand, is known as the dry adiabatic rate and is set at around 9.8 degrees Celsius per 1000 meters of ascension.

Although it is not often the same, the environmental lapse rate can occasionally be comparable to the dry adiabatic rate. The environmental lapse rate can differ from the dry adiabatic rate due to things like the presence of moisture or atmospheric instability.

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The time it will take to fill the pool at the given rate would be = 8 mins.

To calculate the volume of the cylindrical swimming pool the formula for the volume of the cylinder should be used which is = πr²h

where r = 5ft

h = 8ft

volume = π×5×5×8 = 200πft³

If 25πft³ = 1 minute

200πft³ = X

Make X the subject of formula;

X = 200/25 = 8mins

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Answer: Ashley hit the softball farther.

Step-by-step explanation: Ashley hit the softball farther, since her distance of 65 meters is greater than Nicole's distance of 6,700 centimeters.To compare these distances, we need to convert Nicole's distance from centimeters to meters, since Ashley's distance is given in meters.To do this, we can divide Nicole's distance by 100, since there are 100 centimeters in a meter:6700 cm / 100 cm/m = 67 mTherefore, Ashley hit the softball 65 meters, which is less than the 67 meters that Nicole hit it. This means that Ashley hit the softball farther.

Answer:

The area of the shaded region is 21 square units.

7 × 3 = 21 square units

 In the context of the question, concerning  the convertion of  5.00 x 10² milliliters to quarts is 0.528qt. Hence, the required answer for the given question is Option C.

In order to convert milliliters to quarts, we can implement the conversion factor of 1L = 1.06 qt .

Now using the principles of simple conversion we have

5.00 x 10² milliliters = 0.500 L .

Hence,

0.500 L x (1.06 qt / 1 L) = 0.530 qt .

In the context of the question, concerning  the convertion of  5.00 x 10² milliliters to quarts is 0.528qt. Hence, the required answer for the given question is Option C.

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Answer:

I think 7.0 is the answer but I would not say that it is correct

Step-by-step explanation:

Answer:

The area of the regular hexagon is 166.3 square units (to the nearest tenth).

Step-by-step explanation:

The formula for the area of a regular polygon is:

[tex]\boxed{\textsf{Area}=\dfrac{r^2n\sin\left(\frac{360^{\circ}}{n}\right)}{2}}[/tex]

where:

From inspection of the given regular polygon:

Substitute the values into the formula and solve for area:

[tex]\begin{aligned}\textsf{Area}&=\dfrac{8^2\cdot 6 \cdot \sin\left(\frac{360^{\circ}}{6}\right)}{2}\\\\&=\dfrac{64\cdot 6 \cdot \sin\left(60^{\circ}\right)}{2}\\\\&=\dfrac{384 \cdot \frac{\sqrt{3}}{2}}{2}\\\\&=\dfrac{192\sqrt{3}}{2}\\\\&=96\sqrt{3}\\\\&=166.3\; \sf square\;units\;(nearest\;tenth)\end{aligned}[/tex]

Therefore, the area of the regular hexagon is 166.3 square units (to the nearest tenth).

The mean of the following data 0,5,30,25,16,18,19,26,0,20,28 is 17.

Hence option D is the correct option.

Mean is the average value of a given set of data. It is calculated by the formula,

Mean =  {Summation of all the values in the data set} / {Number of observations is the data set}

That is, Mean = {Σ all values in the data set} / {number of observations}

The given data set is as follows,

0,5,30,25,16,18,19,26,0,20,28

The number of observations in the data set is 11.

The summation of all the values in the data set is = {0 + 5 + 30 + 25 +
16 + 18 + 19 +26 + 0 + 20 + 28} = 187

Therefore, by applying  the formula of Mean we get

Mean = 187/ 11 = 17

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Answer:1,041

Step-by-step explanation:

The surface area of the tetrahedral die is 1353 square millimeters

To find the surface area of the tetrahedral die, we need to find the area of each of the four equilateral triangular faces and add them together.

The formula for the area of an equilateral triangle is A = (√(3)/4) x s², where s is the length of the side.

In this case, the base edge of the tetrahedral die is 26 millimeters, so the length of each side of the equilateral triangles is also 26 millimeters.

Using the formula for the area of an equilateral triangle, we can find the area of one face:

A = (√(3)/4) x 26²

A = 338.3 square millimeters (to the nearest tenth)

Since there are four faces, we can multiply the area of one face by 4:

4 x 338.3 = 1353.2 square millimeters

Therefore, the surface area of the tetrahedral die is approximately 1353 square millimeters (to the nearest ten square millimeters).

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The answer for the given equation is 5x-4.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Some algebraic expressions use the same variables raised to the same exponents for like terms in the equation. Similar phrases remain constant. We initially formulate an expression as the sum of its terms in order to locate the terms and the similar terms in it.

An algebraic expression is considered to be in its simplest form when it doesn't contain any brackets or like terms. We employ the distributive property to add or subtract coefficients that are linked to variables.

according to question,

= -(x+4)+6x

= -x-4+6x

=5x-4

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Answer: 560 metres.

Step-by-step explanation:  Here’s a step-by-step explanation of how to convert 0.56 kilometres into metres:

1. Start with the value in kilometres: 0.56 km

2. Know that there are 1000 metres in a kilometre.

3. Multiply the value in kilometres by the conversion factor (1000 m/km): 0.56 km x 1000 m/km = 560 m

4. The result is the value in metres: 560 m

So, 0.56 kilometres is equal to 560 metres.

Answer:

x = 18°

Step-by-step explanation:

7x - 6° = 120°

7x = 126°

x = 18°

So, the answer is x = 18°

When calculating the composite shape's area, the value of x that is needed is: x = 3.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

The area a two-dimensional form occupies in a plane is known as its area. It has a square unit of measurement. As a result, the rectangle's area is the space enclosed by its exterior lines. It is the same as the length times the width calculation.

The following is the rectangle's area formula:

Area = length*width

Thus;

Area of rectangle = 21x

Area of rectangle = 16 * 3x = 48x

Since the total area is 207 cm², then we have;

21x + 48x = 207

69x = 207

x = 207/69

x = 3

The value of x=3 is the answer which is required in question.

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The solution for the given quadratic equation is √27.

What is a quadratic equation?

A quadratic equation is any algebraic equation that can be written in the standard form as where variable 'x' is an unknown number and where a, b, and c are known values, with a ≠ 0.

We are given a quadratic equation in variable 'w' as 3[tex]w^{2}[/tex] + 9 = 90.

Now, on solving the given equation , we get

⇒ 3[tex]w^{2}[/tex] + 9 = 90

⇒ 3[tex]w^{2}[/tex] = 81

⇒ [tex]w^{2}[/tex] = 27

⇒ w = √27

Hence, the solution for the given quadratic equation is √27.

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The complete question has been attached below.

The rate of change for the function f(x) is 9.5 over the interval.

How I calculated the rate of change for f(x):

f(2) = 12, f(6) = 50

slope = (50 - 12) / (6 - 2) = 9.5

The rate of change for the function g(x) is -2 over the interval.

How I calculated the rate of change for g(x):

g(2) = -10, g(6) = -18

slope = (-18 - (-10)) / (6 - 2) = -2

To find the rate of change for a function over an interval, we need to calculate the slope of the secant line that connects the two endpoints of the interval.

The slope of a line can be found using the formula:

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

For the quadratic function f(x) = (x + 1)² + 8, we can find the values of f(2) and f(6) by substituting x = 2 and x = 6 into the function:

f(2) = (2 + 1)² + 8 = 12

f(6) = (6 + 1)² + 8 = 50

Therefore, the rate of change for f(x) over the interval 2 ≤ x ≤ 6 is:

slope = (f(6) - f(2)) / (6 - 2) = (50 - 12) / 4 = 9.5

So the answer is: The rate of change for f(x) is 9.5 over the interval.

To find the rate of change for the linear function g(x) = -2x - 6, we can use the same formula:

g(2) = -2(2) - 6 = -10

g(6) = -2(6) - 6 = -18

Therefore, the rate of change for g(x) over the interval 2 ≤ x ≤ 6 is:

slope = (g(6) - g(2)) / (6 - 2) = (-18 - (-10)) / 4

slope = -2

So the answer is: The rate of change for g(x) is -2 over the interval.

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The response (i.e. the effect) variable in this study is option (c)  the amount of money a household gives to the zoo's annual fund drive

The response (i.e. the effect) variable in this study is the amount of money a household gives to the zoo's annual fund drive. This is the variable that the study is attempting to predict based on the household's income. The Columbus Zoo is the entity conducting the study, and a household's income is the predictor (i.e. the independent) variable.

The study is focused on the relationship between a household's income and the amount of money it gives to the zoo's annual fund drive, so the response variable is the amount of money given to the fund drive. The study is not attempting to make predictions about all households in Columbus, so option d is not the correct answer.

Therefore, the correct option is (c) the amount of money a household gives to the zoo’s annual fund drive.

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To obtain the best estimate of the percentage of people from the town who will attend the next game, the football coach should survey a randomly selected group of people from the town.

By randomly selecting individuals from the town, the sample will be more representative of the town's population, and the coach can obtain a more accurate estimate of the percentage of people who will attend the next game.

Surveying people who have a friend on the football team, or who attended the last game, or people who are on sports teams may result in biased samples that do not accurately represent the town's population as a whole.

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The area, in square inches, of the composite figure is: 112.125 square inches.

To obtain the area in square inches of the composite figure, we can start by calculating the area of the rectangle to be

= length x width = 14 x 2

= 28 square inches

The leg length of 25 will be divided by 2 to give 12.5. Next we find the area of the isosceles right triangle as follows:

= (leg length)^2 / 2 = (12.5)^2 / 2 = 78.125 square inches.

The combined area = Area of rectangle + Area of isosceles right triangle

= 28 + 78.125

= 106.125 square inches

So, the area of isosceles triangle = (base x height) / 2

= (4 x 3) / 2

= 6 square inches

Now we can add up the areas of the individual shapes to find the total area of the composite figure:

Total area = Combined area + Area of isosceles triangle

= 106.125 + 6

= 112.125 square inches

Complete Question:

Find the area, in square inches, of the composite figure. A composite figure consisting of an isosceles right triangle, a rectangle, and an another isosceles triangle. The combined length of the right triangle and the rectangle is 25 inches. The length of only the rectangle is 14 inches. The base of the other isosceles triangle, which is the same as the width of the rectangle, is 2 inches plus 2 inches, and the height of the isosceles triangle is 3 inches

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Dominik used 7/8 cup of sugar for a bread recipe. he used 3/4 cup of sugar for a muffin recipe.

To find out how much sugar Dominik used in total for both recipes, we need to add the amounts of sugar he used in each recipe.

7/8 cup + 3/4 cup

To add these two fractions, we need to find a common denominator. In this case, the smallest common denominator is 8, which is the same as the denominator of the first fraction.

7/8 cup + 3/4 cup = (7/8) cup + (6/8) cup

Now we can add the two numerators

(7/8) cup + (6/8) cup = 13/8 cup
Hence, Dominik used 13/8 cups of sugar for both recipes combined.

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The correct statements for the triangles are given as follows:

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

The Pythagorean Theorem holds true for triangle XYZ, hence:

For triangle STU, the symbol shows that it a right triangle, hence the hypotenuse length is obtained as follows:

a² + b².

Which is equals to the hypotenuse length of XYZ.

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The actual distance from Marcus's house to the peak is 0.328 miles and the Skye's distance is 0.330 miles

Given that

The actual distance between Marcus and Skye's houses is 1 1/2 miles.

So, we have

Ratio = 0.246 : 1 1/2

Scale : Actual = 0.246 : 1 1/2

For Marcus, we have

2 : Actual = 0.246 : 1 1/2

So, we have

Actual = 0.246/(1 1/2) * 2

Evaluate

Actual = 0.328

For Skye, we have

2.015 : Actual = 0.246 : 1 1/2

So, we have

Actual = 0.246/(1 1/2) * 2.015

Evaluate

Actual = 0.330

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The exact length of arc AB is π feet. To round to the nearest hundredths, we get:

AB ≈ 3.14 feet

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

we can use the central angle and the fact that a full circle has a central angle of 360° to calculate the fraction of the circumference that AB represents.

Since the central angle, APB is 45°, we can calculate the fraction of the circumference that AB represents as:

45°/360° = 1/8

Therefore, AB represents 1/8 of the circumference of the circle.

If we let C be the circumference of the circle, then the length of AB can be calculated as:

AB = (1/8) * C

Since we do not know the value of C, we cannot calculate the exact length of AB. However, we can leave our answer in terms of π as:

AB = (1/8) * π * d

where d is the diameter of the circle.

If the diameter of the circle is 8ft, then the radius (r) is half of that, or 4ft. We can now use this value to find the exact length of AB.

The circumference (C) of the circle can be found using the formula:

C = 2πr

where π is the constant pi.

Plugging in the given value of the radius, we get:

C = 2π(4ft) = 8πft

Therefore, the exact length of AB is:

AB = (1/8) * C = (1/8) * 8π ft = π ft

Hence, the exact length of arc AB is π feet. To round to the nearest hundredths, we get:

AB ≈ 3.14 feet

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The Cartesian Coordinate System is a method used to represent points in a plane by using two numerical values called coordinates

a.) . These coordinates represent the distances of the point from a fixed reference point called the origin, along two perpendicular axes called the x-axis (horizontal) and y-axis (vertical).

b.) The system is used for various purposes, such as plotting points and lines in geometry, graphing functions in mathematics, analyzing data in statistics, designing objects in computer-aided design, and representing locations in geography and mapping.

c.) The system was developed by the French mathematician and philosopher René Descartes in the 17th century.

d.) Historically, the system is unique because it introduced a method of visualizing and analyzing geometric shapes and algebraic equations using a common framework, which enabled the development of analytic geometry and the fusion of algebra and geometry.

a.) x-coordinate

b.) y-coordinate

c.) quadrant

d.) intersection

e.) coordinates

f.) origin

g.) axes (of a graph)

h.) y-axis

i.) x-axis

j.) number line

k.) ordered pair

l.) coordinate grid

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The experimental probability that you will roll a three on your next roll is 70%.

To calculate the experimental probability of rolling a number three on the next roll, we need to use the data given in the problem. Out of the 20 rolls that were performed, the number three was rolled 14 times.

The experimental probability is calculated by dividing the number of times the event occurred (in this case, rolling a number three) by the total number of trials.

So, the experimental probability of rolling a number three on the next roll is:

14/20 or 7/10

This means that based on the data from the previous 20 rolls, there is a 70% chance of rolling a number three on the next roll.

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The requried solution to the given trigonometric problems area shown below,
4. G 30 foot, 5. C 40 and 6. F 20.5.

4.

Let,
x = length of ramp = 14 ft
n = base of the ramp
the angle of inclination of the ramp with the base is Ф=22.2°,
The base of the ramp is given by trigonometric ratios,
cosФ = n/x
cos22.2 = b / 14
b = 13 foot

Similarly,
5. c. 40

6. F 20.5

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The correct statement regarding the best measure of center from the box and whisker plot is given as follows:

The median is the best measure of center and equals 11.

A box and whisker plots shows these five features from a data-set, listed as follows:

The features for the data-set in this problem are given as follows:

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