Use the Chinese Remainder Theorem to solve the following puzzle: A certain integer between 1 and 1200 leaves the remainders 1, 2, 6 when divides by 9, 11, 13, respectively. What is the integer?

Answer:

9

Step-by-step explanation:

cuz yes

So the slope of the scenario is $20 per hour, which indicates that the expense of the tour increases by $20 for every extra hour spent on it.

The slope of a line indicates its steepness. Slope is computed mathematically as "rise over run" (change in y divided by change in x). The slope-intercept form of an equation occurs when the equation of a line is stated in the form \(y = mx + b\). The slope of the line is given by m. And b is the value of b in the y-intercept point (0, b). For example, the slope of the equation \(y = 3x - 7\) is 3, while the y-intercept is (0, 7).

Here,

In this situation, the slope represents the rate of change in the cost of the tour with respect to the time spent on the tour. The slope of the situation can be calculated as the change in cost divided by the change in time.

Since the one-time fee is a fixed cost, it does not change with respect to the time spent on the tour. Therefore, the slope can be calculated as the rate of change in the cost due to the hourly fee of $20.

The slope can be represented as:

\(\text{slope} = \dfrac{\Delta\text{cost}}{\Delta\text{time}} = \dfrac{\$20}{\text{hour}}\)r

So, the slope of the situation is $20 per hour, which means that for every additional hour spent on the tour, the cost of the tour increases by $20.

To know more about slope,

brainly.com/question/29184253

Answer:

A: the cost per pund of coffee

Step-by-step explanation:

You need x and y- values. So one would be the pound (x) and the other would be the cost (y)

Using the concept of conditional probability and the conditions provided, The answer is \(\frac {p^2}{2pq}\) .

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities can be calculated using the ratio of the number of favorable outcomes to the total number of possible outcomes. It helps us to understand the uncertainty of events.

A false positive result is when a test indicates that a particular condition or attribute is present, when in reality it is not. For example, in medical testing, a false positive result would occur when a test for a disease returns a positive result but the person being tested does not actually have the disease. False positives can have serious consequences, as they can lead to unnecessary treatments, further testing, and anxiety for the person being tested.

p=probability of occurrence

q=1-p

P(false positive for both subjects | false positive for one subject) = P(false positive for both subjects and false positive for one subject) / P(false positive for one subject)

P(false positive for both subjects | false positive for one subject) = p^2 / (2pq)

To learn more about probability visit:

https://brainly.com/question/30034780

#SPJ4

Answer:

18

Step-by-step explanation:

6lb

*3

6lb*3=18

Step-by-step explanation:

In this arithmetic sequence, the common difference d is 7. You can find this by subtracting a term from the consecutive term: 16 - 9 = 7, 23 - 16 = 7. In order to find the next four terms, keep adding 7 to the previous term. The next four terms are 30, 37, 44, and 51.

Answer:

Step-by-step explanation:

\(a_{1}\) = \(\frac{3}{4}\)

d = - \(\frac{1}{4}\)

\(a_{2}\) = \(\frac{3}{4}\) + ( - \(\frac{1}{4}\) ) = \(\frac{1}{2}\)

\(a_{3}\) = \(\frac{1}{2}\) - \(\frac{1}{4}\) = - \(\frac{1}{2}\)

\(a_{4}\) = - \(\frac{1}{2}\) - \(\frac{1}{4}\) = - \(\frac{3}{4}\)

\(a_{5}\) = - \(\frac{3}{4}\) - \(\frac{1}{4}\) = - 1

Answer:36.33333333 but rounded it is basically 36

Step-by-step explanation:

what you have to do is 327 divided by 9 then you get your answer then round

Answer:g(x)=x-2+2

Step-by-step explanation:

Kid

Answer:

4 x 4 = 16, 16 divided by 2 ( x 1/2 ) = 8

8 x 2 = 16(area of two triangles)

8 x 4 = 32(area of base below)

5.7 x 8 = 45.6 (area of slant)

4 x 8 = 32(area of the rectangle behind the figure)

Add all the given areas:

16 + 32 + 45.6 + 32 = 125.6 in^2 is your answer

The final serial number with the appended check digit is 547354.

To apply the Verhoeff method and append a check-digit to the serial number 54735, follow these steps:

Step 1: Create the multiplication table for the Verhoeff method. Here is the multiplication table:

Copy code

0 1 2 3 4 5 6 7 8 9

1 2 3 4 0 6 7 8 9 5

2 3 4 0 1 7 8 9 5 6

3 4 0 1 2 8 9 5 6 7

4 0 1 2 3 9 5 6 7 8

5 9 8 7 6 0 4 3 2 1

6 5 9 8 7 1 0 4 3 2

7 6 5 9 8 2 1 0 4 3

8 7 6 5 9 3 2 1 0 4

9 8 7 6 5 4 3 2 1 0

Step 2: Reverse the serial number. In this case, the reverse of 54735 is 53745.

Step 3: Initialize the check digit to 0.

Step 4: For each digit in the reversed serial number, follow these sub-steps:

Convert the digit to an integer and call it x.

Lookup the value in the multiplication table at row check_digit and column x. Let this value be y.

Add y to the check digit.

Here are the calculations for each digit:

For the first digit, x = 5:

The value in the multiplication table at row 0 and column 5 is 6.

Add 6 to the check digit: check_digit = 0 + 6 = 6.

For the second digit, x = 3:

The value in the multiplication table at row 6 and column 3 is 1.

Add 1 to the check digit: check_digit = 6 + 1 = 7.

For the third digit, x = 7:

The value in the multiplication table at row 7 and column 7 is 0.

Add 0 to the check digit: check_digit = 7 + 0 = 7.

For the fourth digit, x = 4:

The value in the multiplication table at row 7 and column 4 is 3.

Add 3 to the check digit: check_digit = 7 + 3 = 10.

For the fifth digit, x = 5:

The value in the multiplication table at row 0 and column 5 is 6.

Add 6 to the check digit: check_digit = 10 + 6 = 16.

Step 5: If the check digit is 0, the serial number is valid. Otherwise, subtract the check digit from the next multiple of 10 and append it to the serial number.

In this case, the check digit is 16.

Since it is not 0, we subtract it from the next multiple of 10 (20 - 16 = 4) and append it to the serial number.

Therefore, the final serial number with the appended check digit is 547354.

Learn more about Verhoeff method from the given link!

https://brainly.com/question/27889828

#SPJ11

The angle formed by a secant and tangent line is GSE (Given-Secant-Exterior).

A tangent is a straight line or curve that touches a given curve exactly once but does not cross it. The tangent is a fundamental concept in geometry and calculus that is used to study the behavior of functions at a specific point.

An external angle is the angle formed by a secant and tangent line at a point on a circle. The abbreviation for this angle is EGS (External Angle-Secant-Tangent).

A secant line intersects a circle at two points, whereas a tangent line intersects the circle at only one. The external angle is formed at the point of tangency by the intersection of the secant and tangent lines outside the circle.

Full question.

Which angle is formed by a secant and tangent line?

A) ANG

B) GSE

B) EGS

C) NGL

To learn more about tangent.

https://brainly.com/question/19424752

#SPJ4

Answer:

Step-by-step explanation:

Factor out the common term 2.

|2(x+4)|-14∣2(x+4)∣−14

Answer:

I really dont know

Step-by-step explanation:

the explination is i

According to the given statement There are 2 rows and 3 columns in the matrix, resulting in a total of 6 categories (cells).

In a chi-square test for independence, the degrees of freedom (df) is calculated as (r-1)(c-1),

where r is the number of rows and c is the number of columns in the contingency table or matrix.

In this case, the df is given as 2.

To determine the total number of categories (cells) in the matrix, we need to solve the equation (r-1)(c-1) = 2.

Since the df is 2, we can set (r-1)(c-1) = 2 and solve for r and c.

One possible solution is r = 2 and c = 3, which means there are 2 rows and 3 columns in the matrix, resulting in a total of 6 categories (cells).

However, it is important to note that there may be other combinations of rows and columns that satisfy the equation, resulting in different numbers of categories.

To know more about matrix visit:

https://brainly.com/question/29132693

#SPJ11

Answer:

50

Step-by-step explanation:

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

To learn more about derivatives visit;

https://brainly.com/question/29144258

#SPJ4

In simplest radicle form, the length of the third side = 9 units.

Given,

Side A = 7 units.

Side B = 4√2 units.

To find Side C, we use the Pythagorean formula,

a² = b² + c²

7² = \(4\sqrt{2}^{2}\) + c²  

c² = 49 + 32

c² = 81

√c² = √81

c = -9,9.

c ≠ -9 as negative values are not considered for dimensions.

Hence, the length of the third side is 9 units.

To learn more about Pythagorean theory, refer to:

https://brainly.com/question/343682

#SPJ4

Your question is incomplete. The complete question is:

With reference to the figure below,  find the length of the third side. If necessary, write in the simplest radical form.

Answer: The problem involves a binomial distribution with n = 100 candies and p = 0.2 probability of success (getting an orange candy).

To find the probability that there are 25% or less orange candies, we need to calculate the cumulative probability of getting 0 to 25 orange candies out of 100:

P(X ≤ 25) = Σ P(X = k), where k goes from 0 to 25

Using the binomial probability formula, we get:

P(X = k) = (100 choose k) * 0.2^k * 0.8^(100-k)

So, the probability of getting 25% or less orange candies is:

P(X ≤ 25) = Σ (100 choose k) * 0.2^k * 0.8^(100-k), where k goes from 0 to 25

Using a calculator or software, we can compute this probability to be approximately 0.058.

To find the probability that there are 25% or more orange candies, we need to calculate the cumulative probability of getting 25 to 100 orange candies out of 100:

P(X ≥ 25) = Σ P(X = k), where k goes from 25 to 100

Using the same binomial probability formula, we get:

P(X = k) = (100 choose k) * 0.2^k * 0.8^(100-k)

So, the probability of getting 25% or more orange candies is:

P(X ≥ 25) = Σ (100 choose k) * 0.2^k * 0.8^(100-k), where k goes from 25 to 100

Using a calculator or software, we can compute this probability to be approximately 0.982.

Therefore, the probability of getting 25% or less orange candies is 0.058 and the probability of getting 25% or more orange candies is 0.982

Step-by-step explanation:

Answer:

She has identified her good side and is trying to let it show.

Step-by-step explanation:

I did this already so I know it right.

Answer:

She has identified her good side and is trying to let it show.

Step-by-step explanation:

Haha, I just finished this assignment.

The area of the vegetable garden is 16.5 square meters.

You can use the following formula to determine a trapezoid's area:

The trapezoid has a height of 3 meters, a base1 of 4 meters, and a base2 of 7 meters—area = (base1 + base2) * height / 2. When these numbers are put into the formula, we get:

Region = (4 + 7) * 3/2

= 11 * 3/2

= 33/2

= 16.5 square meters

Thusly, the region of the vegetable nursery is 16.5 square meters.

To know more about Area, visit

brainly.com/question/22972014

#SPJ11

The sets of lengths that are Pythagorean triples are:

A. 10, 24, 26

D. 9, 40, 41

E. 15, 20, 25

A Pythagorean triple can be described as a set of three numbers of the side lengths of a right triangle whereby the square of the longest side is equal to the sum of the squares of the two other sides.

For 10, 24, 26, we have:

10² + 24² = 26²

676 = 676 [true]

The set, 10, 24, 26 is a Pythagorean triple.

For 14, 48, 49, we have:

14² + 48² = 49²

2,500 = 2,401 [not true]

The set, 14, 48, 49, is NOT a Pythagorean triple.

For  9, 12, 16, we have:

9² + 12² = 16²

225 = 256 [not true]

The set, 9, 12, 16, is NOT a Pythagorean triple.

For  9, 40, 41, we have:

9² + 40² = 41²

1,681 = 1,681 [true]

The set, 9, 40, 41, is a Pythagorean triple.

For  15, 20, 25, we have:

15² + 20² = 25²

625 = 625 [true]

The set, 15, 20, 25, is a Pythagorean triple.

The correct set of options are, A, D, and E.

Learn more about the Pythagorean triple on:

https://brainly.com/question/11994763

#SPJ1

Answer:

Transitive Property of Congruence

Explanation:

Here, we want to get the congruence law used

From what we have, given 3 set of angles with 1 one of the angles equal to the two others, it mean that the other two are equal to one another

Thus, we can see that there is a linkage between the values as a result of one of the angles being equal to the other two

The name of the congruence property that represents this is the transitive property of congruence

We can use it to infer or get the value of a third angle or use to define the equality of two angles given a third one in which the first two are equal to

The clinic should hire at least 7 doctors in order to serve 122 patients per day.

To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.

Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.

Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.

Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.

To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.

Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.

In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.

To know more about calculating the number of doctors required to serve a specific number of patients, refer here:

https://brainly.com/question/23687011#

#SPJ11

If we suppose a researcher conducts an A-B-A-B study. She records baseline observations and then administers a treatment and records behavior during treatment. Her next step would be administering the treatment again.

Reason Behind the Next Step of the Study

It is given the the researcher conducts an A-B-A-B study.

Her first step was recording the baseline observations.

Hence, first A indicates the first step here that is, recording the observations

In the next step of the study, she administers a treatment.

Thus, B denotes the administering treatment step.

Again, for the third step of the study, she again records behavior during the treatment.

This is again denoted by A.

Hence, we can conclude that in the A-B-A-B study, A denotes recording observation or behavior, B denotes administering a treatment.

Now, since, A, B, and A steps of the study have already been followed, the next phase is B which is concerned with reintroducing or re-administering the treatment.

Learn more about study here:

https://brainly.com/question/27906899

#SPJ1

Answer:

Step-by-step explanation:

let the numbers be 7x,y,y,y.

7x+3y=36

3y=36-7x

\(y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\\)

numbers are 7×3,5,5,5

or 21,5,5,5

21×5×5×5=2625

Answer

Brownwyn mows the lawn faster than daniel because he takes 2 hours and 45 minutes just to mow 15,000 ft. while Brownwyn mows the whole lawn in 3 hours.

Bronwyn takes 3 hours to mow 36,000 square feet of lawn. And Bronwyn's brother takes less time.

The rate is the ratio of the amount of something to the unit of time.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Every other weekend, Bronwyn mows the grass. She can mow 12,000 square feet in an hour. Then the rate of the mowing lawn in units hour is given as,

⇒ 12000 square feet

Then he can mow 36,000 square feet in t hours.

t = 36000/12000

t = 3 hours

Every other weekend Bronwyn's brother Daniel mows the lawn. He can mow 15,000 square ft in 3/4 hour. Then the rate is given as,

⇒ 15000 / (3/4)

⇒ 15000 / 0.75

⇒ 20,000 square feet

Bronwyn takes 3 hours to mow 36,000 square feet of lawn. And Bronwyn's brother takes less time.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Answer:

Step-by-step explanation:7y

The equation that represents the graph will be y = - (3/2)x - 3. Then the correct option is A.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The x-intercept of the line is -2 and the y-intercept of the line is -3. Then the equation of the line is given as,

x / (-2) + y / (-3) = 1

3x + 2y = - 6

2y = - 3x - 6

y = - (3/2)x - 3

The equation that represents the graph will be y = - (3/2)x - 3. Then the correct option is A.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

Answer:

Step-by-step explanation:

Perimeter = 3 + 1 + 1 + 1 + 2 + 2 = 10 cm

Area = area of rectangle 1 and area of rectangle 2

Rectangle 1:

length = 3; width = 1

Area = 3*1 = 3 cm²

Rectangle 2:

length = 2 cm ; width = 1 cm

Area = 2*1 = 2 cm²

Area =  2+ 3 = 5 cm²