Line m passes through points (10, 10) and (2, 1). Line n is perpendicular to m. What is the
slope of line n?

The probability that it will have distinct even digits is 6/1000.

The first digit can take on 5 values (0,2,4,6,8).

The second digit could take on 4 values (one less than 5 to be unique).

The third digit could take on 3 values (two less than 5 to be unique).

So that makes,

N=5.4.3

N=60

P= 60/1000

P=3/50

So there are 60 unique three digit even numbers.

There are 1000 possible outcomes.

Probability and statistics are two fundamental concepts in mathematics. Probability is about the probability of an event, whereas statistics are about how different techniques are used to process different data.

Probability and statistics allow us to process complex data in a very understandable way.

Probability is one of the most popular topics in statistics. The reason is that this one theory is often used when trying to predict something. For example, figuring out what comes out of a random series of events. For simplicity, probability is also called chance or probability. 

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Answer:

the 2nd one lol

Step-by-step explanation:

Answer:

number 2ᕙ(＠°▽°＠)ᕗStep-by-step explanation:

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer:

A. 2 * 10^6

Step-by-step explanation:

A. 2 * 10^6 = 2 000 000

B. 1 * 10^6 = 1 000 000

C. 2 * 10^7 = 20 000 000

D. 1 * 10^7 = 10 000 000

Therefore, the answer A in standard form is the closest approximation of the population in the state of Nebraska.

Answer:

tan ¤ = opp/adj

tan ¤ = 20/50

since opposite of the angle is 20, height of the tree is 20 feet.

Ans : D

Answer:

Explanation:

\(\sf tan(x)= \dfrac{opposite}{adjacent}\)

\(\hookrightarrow \sf tan(x)= \dfrac{20}{50}\)

Answer:

First, We'll take two numbers as 'x' and 'y', and their sum is given as 21 i.e. x + y = 21 .  3/4th of 'x'  and  2/3rd of 'y' when added gives 15 i.e.

(3/4)x + (2/3)y = 15. Now, we've got two equations and we'll solve them to get the value of x and y which will be the two numbers.

Step-by-step explanation:

let,

   first number = x

   second number = y

then ,   x + y = 21  

according to the question,

       (3/4)x + (2/3)y = 15

Now, solve these equations :

on solving, we get :

        x = 12 & y = 9

Hence, the two numbers are 12 and 9.

Answer:

Subtract 2 from each side

Step-by-step explanation:

3x + 2 = 12

Subtract 2 from each side

3x+2-2 =12-2

3x = 10

Answer:

Your Answer is 7

Step-by-step explanation:

Very Simple!

x-6 = -3x + 22

Move the 6 over to the other side by adding 6 to both sides

x = -3x + 28

add 3x to both sides!

4x = 28

Divide by 4!

x = 28/4

x = 7!

Answer:

x=7

Step-by-step explanation

x-6 = -3x +22

 +6         +6

x          =        -3x +28

+3x               +3x

4x = 28

÷4.   ÷4

x=7

Answer:

Between 9 and 10

Step-by-step explanation:

I just multiplied 2/3 by 14

Does that help?

Answer:

C

Step-by-step explanation:

first do 14/1 times 2/3

it will be 28/3, then divide that

it should be 9.3 repeating

which is in the range of 9 and 10

Answer:

the slope is

2/3x+2

Hope This Helps!!!

Answer:

D

Step-by-step explanation:

Solving this algebraically causes the x terms to cancel out so you cannot solve for x.

Graphically, the lines never intersect meaning that there are no real solutions.

Answer:

c

Step-by-step explanation:

good luck

The five-number summary for the data set is= 0,2.5, 3, 4,6.

The five-number summary includes the following

(0, 1, 2, 3,3,3,)3,(3,3,3,5,5,6)

Q1 = 2+3/2 = 5/2 = 2.5

(0, 1, 2, 3,3,3,)3,(3,3,3,5,5,6)

3+5/2= 8/2 = 4

Therefore, the five-number summary of the data set=

0,2.5, 3, 4,6.

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Answer:

one mile would it take 4 minutes and Lynn would be able to ride 1/4 of a mile in one minute

Answer:

highest common factor

lowest common multiple

Answer:

HCF:

Two or more numbers are expressed as the product of their prime factors. HCF = Product of the common prime factors with the lowest powers. Division Method: We use Euclid's Division Lemma( a = bq+ r.) to find the HCF of two numbers a and b. i.e. Dividend = Divisor × Quotient + Remainder.

LCM:

When two or more numbers have the same numbers as their multiples, these multiples are called common multiples. Out of all the common possible multiples the one that is least (smallest) and common for both the numbers, is said to be their least common multiple LCM. LCM Formula helps in calculating this least common multiple for numbers.LCM = (a × b)/HCF(a,b)

The value of the boolean variable x is 0

The boolean equation is given as:

x . 1 = 0

The above means that:

x and 1 = 0

The law of the and operator is that;

The output is 0 if both inputs are different.

One of the inputs is 1.

So, the other input is 0

Hence, the value of x is 0

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The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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The proportional relationship between the price and quantity of ears of corn can be represented using a table or a graph, showing how the price and quantity vary in a consistent manner.

One way to represent the proportional relationship between the price and quantity of ears of corn is by using a table:

Price (in dollars) Quantity (in ears of corn)

             2             5

             4             10

This table shows the corresponding values of the price and quantity.

As we can observe, when the price is $2, the quantity is 5 ears of corn, and when the price is $4, the quantity is 10 ears of corn.

The relationship is proportional because as the price doubles, the quantity also doubles.

Another representation of this proportional relationship is through a graph.

We can plot the points (2, 5) and (4, 10) on a coordinate plane, where the x-axis represents the price and the y-axis represents the quantity.

By connecting these two points with a straight line, we can visualize the proportional relationship.

The line will pass through the origin (0, 0) since zero price corresponds to zero quantity.

The slope of the line will indicate the rate of change between price and quantity.

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The a, b, and c value of the equation are a = -2, b = 4 and c = 0 and the domain is the set of all real values

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

y = -2x² + 4x

A quadratic function is represented as

y = ax² + bx + c

By comapring the equations, we have

a = -2, b = 4 and c = 0

For the key features

The domain of the function is the set of all real values

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3200\\ r=rate\to 7.75\%\to \frac{7.75}{100}\dotfill &0.0775\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &13 \end{cases} \\\\\\ A=3200\left(1+\frac{0.0775}{1}\right)^{1\cdot 13}\implies A=3200(1.0775)^{13}\implies A\approx 8444.51\)

Answer:

- 204

Step-by-step explanation:

2x = 60

x = 30

6 - 7(30) = -204

Answer:

-204

Step-by-step explanation:

Step 1- Solve for the value of x

2x = 60

Divide 60 by 2 so x is by its self

x = 30

Step 2- Plug in 30 for x in the second equation

6 - 7(30)

6 - 210

-204 is the answer

The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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Answer:

No.

Step-by-step explanation:

Y=2x goes up twice and to the right once, it passes through the origin, therefore it won't touch or go pass by point (2,1)

The amounts for the other three partners are $25000, $100000, and $200000.

The amount that the other people will share will be:

= $400000 - $50000

= $350000

Therefore this will be divided as follows:

A = 2/(2+4+8) × $350000

= 2/14 × $350000

= $25000

B = 4/14 × $350000

= $100000

C = 8/14 × $350000

= $200000

Therefore, the amounts for the other three partners are $25000, $100000, and $200000.

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Answer:

3 glasses

Step-by-step explanation:

1 glass= 1 cup

3 cups= 3 glasses

Answer:

Step-by-step explanation:3 glasses

Step-by-step explanation:

\( sum \: of \: interior \\ \: angels \: is  \: 2340 \:  degrees. \\

(n−2)⋅180=2340 \\

180n - 360=2340 \\ 180n = 2700 \\

n=15 \\

number \: of \: sides=15\)

the polygon is 15 sided.

Answer:

5 to 4

Step-by-step explanation:

when it's asking for a ratio it's basically division

chocolate/vanilla = 40/32 = 5/4

5/4 is the same as 5:4 or 5 to 4

Answer:

$12 per hour

Step-by-step explanation:

\(6\frac{1}{4}\) hours =6.25 hours

per hour payment=paid/hours=75/6.25=12

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

The answer is -32

Step-by-step explanation: