What is the mode of the following set of numbers?

143, 312, 41, 28, 308, 619, 321, 352, 465

288
279.3
none
312

Answer:

cinder cone: estimated probability = 0.35

shield: estimated probability = 0.49

stratovolcano: estimated probability = 0.16

Step-by-step explanation:

Given that he had seen 13 cinder cone volcanoes, 18 shield volcanoes, and 6 stratovolcanoes.

So the total number of volcanoes are 13 + 18 + 6 = 37

So the estimated probability of Cinder cone is \frac{13}{37}\approx 0.35

37

13

​

≈0.35

The estimated probability of Shield is \frac{18}{37}\approx 0.49

37

18

​

≈0.49

The estimated probability of Stratovolcano is \frac{6}{37}\approx 0.16

37

6

​

≈0.16

Below is the completed table

The people of Northern Africa used camel caravans, boats, and later on, the introduction of railways and modern road systems to travel from place to place for communication and trade.

In ancient times, camel caravans played a crucial role in facilitating trade and communication across the vast desert regions of Northern Africa. Camels were well-suited for traversing long distances in arid and challenging terrains, carrying goods and enabling merchants to travel between different trading centers.

These caravans played a vital role in connecting cities and facilitating the exchange of goods, ideas, and cultural influences.In coastal regions, maritime trade was prevalent, with boats and ships used for transportation. Coastal cities and ports served as important hubs for trade, linking Northern Africa with other regions through sea routes.

This maritime trade allowed for the movement of goods, including valuable commodities such as spices, textiles, and precious metals. With advancements in technology and infrastructure, modern transportation systems were introduced. Railways and road networks were established, enabling faster and more efficient travel across Northern Africa.

These developments further facilitated communication, trade, and economic integration within the region and beyond. Overall, the people of Northern Africa utilized camel caravans, maritime trade, and later modern transportation systems to travel from place to place, fostering communication and facilitating trade throughout the region.

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Answer:

No Fraction is between these

Step-by-step explanation:

1/2 ----> 2/4

2/4 then 3/4

See, no in between WHOLE fraction number!

Answer:

3/5

Step-by-step explanation:

That's the answer

Answer: The competing restaurant

Step-by-step explanation:

If you divide the 4.52 by 2 you get 2.26 for the first restaurant's unit price

If you divide the 9.44 by 2 you get 2.36 for the second restaurant's unit price

Hope this helps :)

We use import math when we want to use the sin function in the math library, x= math. sin(3.14).

Similar to #include header_file in C/C++, that how to import function in python. The import statement brings in code from one module into another program, where modules are files that contain python code, and modules are used to group related code in a program, instead of rewriting the code again, you can reuse the same code in different files. To import code from a module a parameter is to be followed import module name ( where the import word is the keyword and the module name is the module you want to import  ).

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The necessary preprocessor directive to enable the use of functions like sqrt and sin

#include <math.h>

Generally, A preprocessor directive is a command that is processed by the preprocessor in a programming language before the actual compilation of the source code begins.

Preprocessor directives are used to give instructions to the preprocessor, which is a program that performs text substitution on

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Answer:the x intercept is 5

Step-by-step explanation:

Answer:

2

I believe that the answer my friend

Answer:

true

Step-by-step explanation:

Let us calculate the determinant of this quadratic equation:

Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0

The equation has one solution

x = -b/2a = 2

Option D is correct.

The relation {(-8, -6) (-5, 2) (-8, 1) (7, 3)} is not a function.

Step-by-step explanation:

Given the relation:  {(-8, -6) (-5, 2) (-8, 1) (7, 3)}

Domain is the set of all possible inputs of a relation i.e { -8, -5 , -8 , 7}

Range is the set of output values of a function i.e, {-6, 2 , 1 , 3}

The mapping as shown below in the figure:

A function is a relation in which every element of the domain is matched to not more than one element of the range.

In other words, we can say that ,no value of x gets mapped to more than 1 value of y.

Since, from the mapping you can see that the domain value -8  paired with -6 and 1;  as x is used more than once.

Therefore, this relation is not a function

Answer:

Step-by-step explanation:

The statements that are true regarding undefined terms are;

The reason these statements above are true are as follows:

Examples of undefined terms includes a point, a plane, a line and a set

A point is for representing a position in space. It has no dimensions

Therefore, the statement, A point has no length or width is true

A plane is defined as an interconnected set of points that lay on the same flat surface, and extends infinitely along the surface in all directions

A line is defined as an infinite set of points that are arranged in straight path and extends without end in opposite directions

Therefore, the statement, a line consists of an infinite number of points is true

Therefore, a plane can be considered as being made up of an infinite set of lines that are located on a flat surface

Therefore, the statement, a plane consists of an infinite set of lines is true

Answer:

c = 3

Step-by-step explanation:

Hope it helps and have a great night! =D

~shining stars~

The value of 'c' in the 32^{2c} = 8^{c+7}\(32^{2c} = 8^{c+7}\) is, 3.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression \(32^{2c} = 8^{c+7}\).

Now, To equate the exponents we have to change the bases to the same value.

Therefore, \(32^{2c} = 8^{c+7}\) ⇒ \((2^5)^{2c} = (2^3)^{c+7}\).

5(2c) = 3(c + 7).

10c = 3c + 21.

7c = 21.

c = 3.

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Answer:

sqrt(241) or about 15.52 rounded

Step-by-step explanation:

a^2+b^2=c^2

4^2+15^2=c^2

16+225=c^2

241=c^2

sqrt(241)=c

If 100 students participate in the fundraiser, each student needs to raise $137.50.If 25 students participate in the fundraiser, each student needs to raise amount $550.

Amount = (Total Amount Needed) ÷ (Number of Students)

For 60 students:

Amount = $275 ÷ 60 = $4.58

For 75 students:

Amount = $275 ÷ 75 = $3.67

For 40 students:

Amount = $275 ÷ 40 = $6.88

To solve this problem, we need to use a simple equation: Amount = (Total Amount Needed) ÷ (Number of Students). We can then plug in the given information to calculate the amount each student needs to raise. For example, if 50 students participate in the fundraiser, we can calculate that each student needs to raise $275 ÷ 50 = $5.50. We can then use this equation to calculate the amount that each student needs to raise if there are different numbers of students participating in the fundraiser. For example, if there are 100 students participating in the fundraiser, each student needs to raise $275 ÷ 100 = $2.75. Similarly, if there are 25 students participating in the fundraiser, each student needs to raise $275 ÷ 25 = $11.00.

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Answer:

12.56

Step-by-step explanation:

Remark

Since we don't have anything other than the question, all I can do is answer the question. You are left with the task of figuring out the error.

Formula

Area = (central angle divided by 360 ) * pi r^2

Solution

Area = (40 /360) * 3.14 * 6^2

Area = 1/9 * 3.14 * 36

Area = 4 * 3.14

Area = 12.56

Answer:

5e-5 for the top and 0.159 for the bottom

The nonagon is regular, we know that the sum of the interior angles of the nonagon is equal to (n-2) * 180 degrees, where n is the number of sides of the nonagon. Thus, the sum of the interior angles of the nonagon is:

\((9-2) * 180\) degrees = 1260 degrees

Since all nine angles in the nonagon are congruent, we can find the measure of each angle by dividing the total sum of the angles by the number of angles:

y = 1260 degrees / 9 = 140 degrees

We also know that the sum of the interior angles of a rectangle is equal to 360 degrees. Thus, we can use the following equation to find the measure of angle x:

\(a + b + y + y + y = 360\) degrees

Simplifying this equation, we get:

\(a + b + 3y = 360\) degrees

We don't know the specific values of a and b, but we do know that a = b, since opposite sides of a rectangle are congruent.

Thus, we can substitute "a" for "b" in the equation:

\(2a + 3y = 360 \)degrees

We can solve for a by subtracting 3y from both sides and then dividing by 2:

\(2a = 360\) degrees - 3y

a = (360 degrees - 3y) / 2

Now we can substitute this value of "a" into the equation for x:

x = 180 degrees - y - y - a

Substituting the values we found earlier for y and a, we get:

x = 180 degrees - 140 degrees - 140 degrees - [(360 degrees - 3y) / 2]

Simplifying this equation, we get:

x = 100 degrees - (3/2)y

So the measure of angle x depends on the measure of angle y, which we found to be 140 degrees. Plugging this value into the equation for x, we get:

x = 100 degrees - (3/2) * 140 degrees

x = 100 degrees - 210 degrees

\(x = -110\) degrees

This is a negative value, which doesn't make sense for an angle.

Therefore, we conclude that there must be an error in our calculation or our assumption about the figure. Without additional information about the figure, we cannot determine the measure of angle x.

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Answer: 35cm²

Step-by-step explanation:

This is a composite shape so break it down into its individual shapes and get their areas then add them up to find the shape's total area.

Area of Triangle:

= 1/2 * base * height

= 1/2 * 8 * 5.75

= 23 cm²

Base = 4 + 4 = 8cm

Area of the Trapezium

= (a + b) / 2 * height

a is top length

b is bottom length

= (4 + 8) / 2 * 2

= 12 cm²

Add them up:

= 23 + 12

= 35cm²

Answer:

Answer: 35cm²

Step-by-step explanation:

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer:

(5,9) is a reflection of (-5,9). One of the x values are positive while the other is negative.

Answer: C: 13f+28

Step-by-step explanation: multiply everything in parentheses by 7 then add like terms

Answer: Umm. Dis man got the glizzy or nah ? it you dont got the glizzy then i just gave you the right answer. 9 times out of 10 you wont have the glizzy in yo had

Step-by-step explanation:

Answer:

B-$2 for one car

Step-by-step explanation:

The plane's drift angle is 5.89°.

To solve this problem, we can use the following steps:

- Find the components of the plane's velocity and the wind's velocity.

- Find the resultant velocity of the plane and the wind.

- Find the direction of the resultant velocity.

The components of the plane's velocity are:

X-component: 350 * cos(40°) = 265.86 mph

Y-component: 350 * sin(40°) = 188.56 mph

The components of the wind's velocity are:

X-component: 40 * cos(70°) = -16.73 mph

Y-component: 40 * sin(70°) = -28.26 mph

The resultant velocity of the plane and the wind is:

X-component: 265.86 - 16.73 = 249.13 mph

Y-component: 188.56 - 28.26 = 160.3 mph

The direction of the resultant velocity is:

tan(theta) = (160.3 / 249.13)

theta = arctan(160.3 / 249.13) = 5.89°

Answer:

Shaded region is the difference of the areas of the parallelogram and the square:

Answer:

area of shaded region=1125m²

Solution given:

base of parallelogram [b]=45m

height of parallelogram [h]=30m

length of square [l]=15m

we have

Area of shaded region =Area of {parallelogram -square]

=b×h-l²=45×30-15²=1125m²

Answer:

c. 125.6

Step-by-step explanation:

Pi= 3.14

r= d/2 = 40/2 = 20

\(2\pi \: r\)

= 2 × 3.14 × 20

=125.6

Answer:

12 hours

Step-by-step explanation:

Let's say that our variable is x, where x equals the amount of hours.

You have an upright price of $500 for the first company, as well as an additional $20 an hour.

The second company has an upright price of $620, and charges $10 an hour.

f(x)= 20x+500

g(x)= 10x+620

You want to find how many hours must be worked for the two companies to charge the same amount.

You want to find how many miles it takes to make the two equations equal:

20x+500=10x+620 (Set them equal to each other because you are trying to find when the hours are equal and the cost is equal)

10x+500=620 (Subtract 10x from both sides)

10x=120 (Subtract 500 from both sides)

x=12 (Divide both sides by 10)

Remember that x is the amount of hours, so, the companies would charge the same if they worked for 12 hours.

A weather front is a transition zone between two different air masses at the Earth's surface. Each air mass has unique temperature and humidity characteristics.

(C) $563,700 in cash was received from customers during the year.

Accounting lingo for partial payment of an amount outstanding is "on the account."

The phrase "on account" can also refer to buying or selling anything on credit.

On credit is another way to say "on the account."

Simply changing a sales representative's job title won't make them an account manager.

The needed abilities are varied.

Account managers require abilities in project management, financial control, consultative/value selling, and planning, some of which may require training.

So, gross sales of $560,000.

Accounts receivable decreased ($22,500 - $18,800). $3,700.

Money obtained from clients. $563,700.

Note that the further details provided in the question are not necessary to determine the total amount of money received from customers for the year.

Therefore, (C) $563,700 in cash was received from customers during the year.

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The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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