Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
A(1,7), B(4,2), C(7,7)

The probability that every person gets his or her hat back is 1/n!

If each possibility in a sample space S has the same chance of happening, then all of the outcomes are equally likely. The following experiment shows how easy it is to compute the probability of a single result or an event if all outcomes in a sample space S are equally likely.

Think about the sample space for all hat assignments.

This has n! components (n hat picks for the first person, then n - 1 for the second, etc.),

with each occurrence having a chance of 1/n and being equally likely. Calculation is the issue.

The likelihood of a single element occurring, hence the response is 1/n!

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When you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.

Given,

You  roll 3 dice.

In each dice there will be 6 outcomes

Total number of  outcomes = [tex]6^{3}=216[/tex]

Conditions are

We can find the number of each cases by using the combination method

Number of cases all the outcomes are same =6

Number of cases you get two numbers same = [tex]6C_{2}[/tex]×3!

=90

Number of cases the numbers are all different= 6×5×4

=120

Therefore the expected win = (6×10+90×5-120×2)÷216

=270÷216

= $1.25

Hence, when you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.

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If, we invested $2,800 at a 6% annual interest rate. We will have $2972.70 in 1 year and $3063 in 1.5 year of time.

In the fields of finance and economics, interest is defined as the payment of a sum over and above the principal amount (the amount borrowed) at a set rate by a borrower or deposit-taking financial institution to a lender or depositor. It is different from a fee that the borrower may pay to the lender or another entity. It also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve, but not at a set rate predetermined beforehand, but rather on a pro rata basis as a portion of the rewards received by risk-taking businesspeople when revenue is earned that exceeds all costs.

Calculations:

The Future value= fv= Pv x [tex](1+r/m)^{mt}[/tex]

R= Rate per period

mt= years x compounding

The Future value in 1 year= 2800x[tex](1+0.06/12)^{1x12}[/tex]

                                   = $2972.70

The Future value in 1.5 years=2800x[tex](1+0.06/12)^{1.5x12}[/tex]

                                       = $3063.00

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Answer:

S

Step-by-step explanation:

because an acute angle is and angle that is 89 or lower the rest are obtuse or right angle

Answer:

∠S

Step-by-step explanation:

An acute angle is an angle that is <90°, and in this case, angle S's measure is less than 90 or 15 in degrees, which both classify acute angles.

The amount of snowfall in February 2015 was 36.4 inches and the amount of snowfall in February 2020 was 17.9 inches

From the question, we are to determine the amount of snowfall in February 2015 and in February 2020

Let the amount of snowfall in February 2015 be x

and the amount of snowfall in February 2020 by y

From the given information,

"The snowfall in February 2015 was 0.6 inch more than twice the snowfall in February 2020"

That is,

x = 0.6 + 2y

Also, from the information

"The snowfall in February 2015 was also 8.35 inches fewer than 2.5 times the snowfall in February 2020"

x = 2.5y - 8.35

Now,

Solve the system of equations simultaneously

x = 0.6 + 2y             -------- (1)

x = 2.5y - 8.35        -------- (2)

Equate equations (1) and (2)

0.6 + 2y = 2.5y - 8.35

0.6 + 8.35 = 2.5y - 2y

8.95 = 0.5y

y = 8.95/0.5

y = 17.9

Substitute the value of y into equation (1)

x = 0.6 + 2y

x = 0.6 + 2(17.9)

x = 0.6 + 35.8

x = 36.4

Hence, the amount of snowfall in February 2015 was 36.4 inches and the amount of snowfall in February 2020 was 17.9 inches

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Answer:

185

Step-by-step explanation:

Answer:

Step-by-step explanation:

100 + 70 = 170

7+8= 15

170+15 = 185

170 + 78 +185

Answer:

the number 12

Step-by-step explanation:

the number 12 is a multiple of both 3 ans 4. the sum of the 2 digits in 12, is 3, which is a prime number. 12 only has 2 digits

1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.

Blood Alcohol Content (BAC) is a measure of alcohol in the blood as a percentage. It is calculated in grams per 100 mL of blood, so a BAC of 0.08 means your blood is 0.08% alcohol by volume.

Here, the BAC = 0.1%

Time span = 4 hours

We know,

BAC is a measure of alcohol in the blood as a percentage

Alcohol leaves the body at an average rate of 0.015 g/100mL/hour

Hence, 1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.

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Answer:

it's 9 squar feet ;) ........

Answer:

Element of xcomponent is called domain.

Step-by-step explanation:

Domain=(-4,2,0,-3)

Hope this helpful for you.

Answer: 0

Step-by-step explanation:

4 - 2(a - 3) =

4 - 2(5 - 3) =

4 - 2(2) =

4-4=0

The gradient-intercept form of the equation of the line which has a gradient of 5 and passes through the point (1, 11) is y = 5x + 6

Gradient intercept form Or slope incept form of a linear equation is given by

y = mx + c

where m is the gradient or slope of the equation  and c is the constant

As we are aware that the line passes through a point whose coordinates are (1, 11)

By putting the value of gradient/ slope,  x coordinate in place of x in equation and  y coordinate in place of y in equation we get

11 = 5 (1) +c

11= 5 + c

11-5 = c

6 = c

now, substituting the value of c in the Gradient/ slope intercept form

y = 5x + 6

Hence, The gradient-intercept form of the equation of the line which has a gradient of 5 and passes through the point (1, 11) is y = 5x + 6

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The hexadecimal representation for the given question is 1. 0xAD 2. 0x27 and the decimal representation of the given question is 1. 10001110 2. 01011100

The hexadecimal numeral system, usually known as base 16 or just "hex," is a positional numeral system used in mathematics and computing that uses the radix (base) of 16 to represent integers. Hexadecimal uses 16 different symbols as opposed to the decimal system's 10 symbols, with the most common being "0"-"9 to represent values 0 to 9 and "A"-"F" (or alternatively "a"-"f") to represent values 10 to 15. Hexadecimal numbers are frequently used by software engineers and system designers because they offer a human-friendly representation of binary-coded data. For example, an 8-bit byte might have values ranging from 00000000 to 11111111 in binary form, which can be succinctly represented as 00 to FF in hexadecimal. Each hexadecimal digit represents four bits (binary digits), often known as a nibble (or nybble).

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Answer: Seven trillion i think

Step-by-step explanation:

Answer:

Absolute value is how many steps it takes to get to 0

Step-by-step explanation:

For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero

Answer:

The magnitude (true distance from zero) of a number or measurement, regardless of sign. Usually the true positive value of a number.

Examples:

|–6| = 6

|4| = 4

|200| = 200

|–5000| = 5000

|0.5| = 0.5

-4y-1

Step-by-step explanation:

If you subtract [tex]{ \green{ \tt{8y + 7}}} [/tex]from [tex]{ \red{ \tt{4y - 8}}}[/tex] then the resultant answer will be as follows

[tex] \: \: \: \: \: { \red{ \tt{4y - 8}}} \\ - \ \: { \green{ \tt{8y + 7}}} \\ = -{ \blue{ \tt{ 4y - 1}}}[/tex]

The area swept by the wiper is 860.75 square inches, as calculated by the formula of area of a sector.

Given:

To find: Area swept by the wiper.

Finding:

As area of the sector = [tex]\frac{1}{2}r^{2}\theta[/tex],

Area swept by the wiper will be given by: (Area of the sector made by the top end of the windshield) - (Area of the sector made by the bottom end of the windshield)

=> Area swept by the wiper = [tex]\frac{1}{2}(30)^{2}\frac{3\pi}{4} - \frac{1}{2}(13)^{2}\frac{3\pi}{4}[/tex]

=> Area = [tex]\frac{1}{2}\frac{3\pi}{4}(900 - 169)[/tex]

=> Area = [tex]\frac{1}{2}\frac{3\pi}{4}(731)[/tex] ≈ 860.75 square inches

Hence, the area swept by the wiper is 860.75 square inches, as calculated by the formula of area of a sector.

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Answer:

12x - 3

Step-by-step explanation:

Answer:

38?

Step-by-step explanation:

I can't tell if you were dividing, but 456/12 is equal to 38. Same goes if you were looking for 456=12*x, which x is also 38.

In order to cover the entire land area of United States with dollar bills, it would cost 9 × 10¹⁴ dollars.

A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 mile = 160934 cm

Length of contiguous land = 160934 × 3000 miles = 482,802,000 cm.

Width of contiguous land = 160934 × 1000 miles = 160,934,000 cm.

Mathematically, the area of a rectangle can be calculated by using this formula;

Area of rectangle = length × width

Area of contiguous land = 482,802,000 × 160,934,000

Area of contiguous land = 77,699,257,068,000,000 cm²

Next, we would determine the area of Alaska:

Area of Alaska = 1/5 × 77,699,257,068,000,000

Area of Alaska = 15,539,851,413,600,000 cm²

Total area = Area of Alaska + Area of contiguous land

Total area = 15,539,851,413,600,000 + 77,699,257,068,000,000

Total area = 93,239,108,481,600,000 cm²

Also, the area of a dollar bill is given by:

Area of dollar bill = 6.5 × 15.5

Area of dollar bill = 100.75 cm²

Now, we can determine the cost:

Cost = Total area/Area of dollar bill

Cost = 93,239,108,481,600,000/100.75

Cost = 9 × 10¹⁴ dollars.

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Complete Question:

How much would it cost to cover the entire land area of United States with dollar bills? To answer this question, you may find the following information useful:

The contiguous United States (all of the states minus Alaska and Hawaii) can be approximated as a rectangle that measures 1000 miles north to south and 3000 miles east to west, while Alaska has about one-fifth the area of the contiguous states and Hawaii is small enough to be ignored for this rough calculation. Also, note that a dollar bill measures around 6.5cm × 15.5cm. Express your answer to one significant figure!

Answer: 106!

Step-by-step explanation:

Answer:

x = 5/44

Step by Step:

First start with -2 = -3/5 x-17, once you do that you see that you need to make the x in -3/5 x-17 make the equation equal -2. Requiring knowledge of basic multiplication in the negatives. Once you find the number to multiply by, in this equation would be 5/44, you multiply.

We get the repeated addition as ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ).

We are given a multiplication expression:

( + 7 ) ( - 4)

We need to write this expression as a repeated addition

Repeated addition means when we add the same digits many times that is repeatedly.

For example: 3 + 3 + 3 + 3 or 8 + 8 + 8 + 8 or 5 + 5 + 5 +5 etc.

Here, we can see that -4 is multiplied by 7

It means that - 4 will be added 7 times repeatedly to form the expression

So, we get that:

= ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 )

Therefore, we get the repeated addition as ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ).

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Answer:

-205/69

Step-by-step explanation:

-41/3÷23/5

reciprocate, then the sign changes

-41/3×5/23

=-205/69

The functions cosecant and cotangent are undefined when functions sine and tangent are equal to zero.

A function becomes undefined when its denominator becomes zero. In the case of trigonometric functions we know that both sine and tangent of 0° are equal to zero. In addtion, there are two following trigonometric formulas:

csc θ = 1 / sin θ

cot θ = 1 / tan θ

Thus, the functions cosecant and cotangent are undefined when functions sine and tangent are equal to zero.

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Answer:

Yes

Step-by-step explanation:

Every x and y coordinate is different. The y-coordinates don't have the same x-coordinate, so the function passes the vertical line test. This function is called a discrete function since it's made up of individual points, not a line or curve.

Answer:

yes

Step-by-step explanation:

Different x and y coordinate

Different gradient of line graph

Therefore,it is a function.

The equation of the polynomial on the graph is P(x) = x^2(x - 2)(x + 2)

Expressions are mathematical statements that are represented by variables, coefficients and operators

The graph represents the given parameter

On the graph, we have the following points

The multiplicities at these points are

Using the above as a guide, the equation of the polynomial is

P(x) = (x - x value)^Multiplicity

So, we have

P(x) = (x - 2)^1 * (x + 2)^1 * (x - 0)^2

The above equation becomes

P(x) = (x - 2) * (x + 2) * x^2

Evaluate

P(x) = x^2(x - 2)(x + 2)

Hence, the equation of the polynomial on the graph is P(x) = x^2(x - 2)(x + 2)

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The time the airplane will arrive at its destination is; 12:30 pm

The relationship between distance, time and speed is;

Speed = Distance/time

Now, we are given;

Distance = 1375 miles

Speed = 550 miles per hour

Thus;

Time = Distance/Speed

Time taken = 1375/550

Time taken = 2.5 hours

Thus, if he leaves by 10 am, then the time to arrive is;

10 am + 2.5 hours = 12:30 pm

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