Find the measure of one exterior angle of a regular polygon whose sum of the interior angles is 2340

The difference in the mathematical expression, 16.2 - 3.8, is 12.4.

Mathematically, the difference is the result of the mathematical operation of subtraction.

We subtract the smaller value from the larger number to find the difference between the two numerical values.

The difference is also the result of adding one positive value with a negative value.

Given 16.2 - 3.8,

The difference = 12.4 (16.2 - 3.8)

Thus, the difference between 16.2 - 3.8 is 12.4.

Learn more about a mathematical difference at https://brainly.com/question/148825 and https://brainly.com/question/622717

#SPJ1

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

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

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

Read more about rhombus at

https://brainly.com/question/12735921

#SPJ1

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

For more questions on integral

https://brainly.com/question/30094386

#SPJ8

Answer

56

Explanation

We are asked to solve the expression given as

10y - 3z

Given that y = 8 and z = 8

To solve this, we will just insert the given values for the variables in the expression.

10y - 3z

= 10 (8) - 3 (8)

= 80 - 24

= 56

Hope this Helps!!!

The required statistical parameters has been computed as follows:

Range = 15.

Standard deviation, SD = 4.4441.

Variance = 19.75.

Mathematically, the range of a data set can be calculated by using this formula;

Range = Highest number - Lowest number

Range = 36 - 21

Range = 15.

Mathematically, the mean for these data sets would be calculated by using this formula:

Mean = [F(x)]/n

F(x) = 22 + 29 + 21 + 24 + 27 + 28 + 25 + 36

F(x) = 212.

Mean = 212/8

Mean = 26.5

Next, we would calculate the standard deviation by using this formula:

SD = √(1/n × ∑(xi - u₁)²)

SD = √(1/5 × ∑(22 - 26.5)² + 1/5 × ∑(29 - 26.5)² + 1/5 × ∑(21 - 26.5)² + 1/5 × ∑(24 - 26.5)² + 1/5 × ∑(27 - 26.5)² + 1/5 × ∑(28 - 26.5)² + 1/5 × ∑(25 - 26.5)² + + 1/5 × ∑(36 - 26.5)²)

Standard deviation, SD = 4.4441.

In Statistics, the standard deviation of a data sample is the square root of the variance and this is given by this mathematical expression:

Variance = δ²

Variance = 4.4441²

Variance = 19.75.

Read more on variance here: https://brainly.com/question/26355894

#SPJ1

The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525

#SPJ1

EXPLANATION:

The events are totally independent of the number of times the coin is flipped, so the probability that the coin will land heads or tails is 1 to 3 for each event.

Answer:

the answer is c

Step-by-step explanation:

Answer:

60 inches is the perimeter.

Step-by-step explanation:

The perimeter is all of the sides added up. because it is a square, it has 4 15 inch sides.

15+15+15+15

30+30

60

pls mark brainiest

The equation of the line in point-slope form is y + 1 = 2(x + 8).

What is equation of line?

An equation with terms that have variables x and y independently and a degree of one is referred to be a line equation in a two-dimensional coordinate system. A linear equation is any equation with degree 1. The relationship between the x and y coordinates of any point on a straight line is known as the equation of a straight line.

The point-slope form of the equation of a line with slope m and passing through the point (x1, y1) is given by:

y - y1 = m(x - x1)

Using the given information, we have:

m = 2

x1 = -8

y1 = -1

Substituting these values into the point-slope form, we get:

y - (-1) = 2(x - (-8))

Simplifying, we get:

y + 1 = 2(x + 8)

This is the equation of the line in point-slope form.

Learn more about equation of line on:

https://brainly.com/question/11552995

#SPJ1

In this case, we have two similar triangles (the angles are congruents).

So, the next relations holds:

So, we only need to solve for m:

The solution to the inequality √3r + 5 > 1 is r > 16/3.

To solve the inequality √3r + 5 > 1, we can follow these steps:

Subtract 5 from both sides of the inequality:

√3r + 5 - 5 > 1 - 5

√3r > -4

Square both sides of the inequality to eliminate the square root:

(√3r)^2 > (-4)^2

3r > 16

Divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 16/3

r > 16/3

Therefore, the solution to the inequality √3r + 5 > 1 is r > 16/3.

Learn more about Inequality here:

https://brainly.com/question/20383699

#SPJ1

Answer:

\((f\cdot g)(x) = 2x^3 + 5x^2-x-6\)

Step-by-step explanation:

We are given the two functions:

\(f(x)=2x^2+x-3\text{ and } g(x)=x+2\)

And we want to find:

\((f \cdot g)(x)\)

Recall that this is equivalent to:

\(=f(x)\cdot g(x)\)

Substitute. Hence:

\((f\cdot g)(x)= (2x^2+x-3)(x+2)\)

Expand if desired:

\(\displaystyle = x(2x^2+x-3)+2(2x^2+x-3) \\ \\ = (2x^3+x^2-3x)+(4x^2+2x-6) \\ \\\ = 2x^3 + 5x^2-x-6\)

Answer:

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

Step-by-step explanation:

f(x) = 2x^2 + x − 3 and g(x) = x + 2.

(f • g)(x) = (2x^2 + x − 3 ) * (x + 2)

Distribute

           =  (2x^2 + x − 3 )*x + (2x^2 + x − 3 )*2

            = 2x^3 +x^2 -3x + 4x^2 +2x -6

Combine like terms

            =2x^3+5x^2-x-6

Answer:

A

Step-by-step explanation:

hope this helps

Answer:

x=-2

Step-by-step explanation:

Distribute, add 12 to both side, then simplify

Answer: -2

Let's solve your equation step-by-step.

−2(x+6)=4x:

Step 1: Simplify both sides of the equation.

−2(x + 6) = 4x

(−2)(x) + (−2)(6) = 4x (Distribute)

−2x + (−12) = 4x

−2x − 12 = 4x

Step 2: Subtract 4x from both sides.

−2x − 12 − 4x = 4x − 4x

−6x − 12 = 0

Step 3: Add 12 to both sides.

−6x − 12 + 12 = 0 + 12

−6x = 12

Step 4: Divide both sides by -6.

−6x/−6 = 12/−6

x = −2

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

The matrix operation is solved and the rows are interchanged

Given data ,

Let the matrix be represented as A

Now , the value of A is

\(A = \left[\begin{array}{ccc}-6&1&-8\\-7&5&2\\2&9&7\\2&-8&8\end{array}\right]\)

Now , the matrix operation is given by

R₂ ↔ R₃

So , the 2nd row of the matrix is interchanged with 3rd row

On simplifying , we get

\(B = \left[\begin{array}{ccc}-6&1&-8\\2&9&7\\-7&5&2\\2&-8&8\end{array}\right]\)

Hence , the matrix is \(B = \left[\begin{array}{ccc}-6&1&-8\\2&9&7\\-7&5&2\\2&-8&8\end{array}\right]\)

To learn more about matrix click :

https://brainly.com/question/13215296

#SPJ1

We have that in a quotient of two powers with the same base the exponent of the result is the substraction between exponents.

In this case, we have that:

Since the base is 4, we can substract the exponents:

Answer = 4

Answer: $2.60

Step-by-step explanation:

$1+$1.60=$2.60

Answer:

Start with have a good day

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

The variance of X-bar is 12.25.

To find the variance of the sample mean (X-bar) for a normally distributed population, we can use the formula:

Variance of X-bar = (Population Variance) / (Sample Size)

In this case, the population mean (μ) is 138 and the standard deviation (σ) is 14. The population variance (σ^2) can be calculated as the square of the standard deviation, which gives us 14^2 = 196.

Since we are sampling with a batch size of 16, the sample size is also 16.

Now we can substitute these values into the formula:

Variance of X-bar = 196 / 16 = 12.25

Therefore, the variance of X-bar is 12.25.

It's important to note that the sample mean (X-bar) is an unbiased estimator of the population mean (μ). The smaller the sample size, the greater the variability of X-bar around the population mean.

As the sample size increases, the variance of X-bar decreases, indicating a more precise estimate of the population mean.

For more such questions on variance,click on

https://brainly.com/question/9304306

#SPJ8

Answer:

50%

Step-by-step explanation:

the increase is 60 so divide that by the original number; 60/120=0.5

now we have to change the decimal to a percent. multiply by 100 to do that and we get 50%.

Answer:

Step-by-step explanation:

\(\Delta \%=100\left(\frac{final-initial}{initial}\right)\\ \\ \Delta \%=100\left(\frac{180-120}{120}\right)\\ \\ \Delta \%=100\left(\frac{60}{120}\right)=50\% \)

The probability that y is between 5.1 and 5.7 is approximately 0.4292.

Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes an inevitable one.

Since the sample size is large (n = 70), we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean as normal with mean μ = 5 and standard deviation σ/sqrt(n) = 2/sqrt(70) ≈ 0.24.

Now we want to find the probability that y, the sample mean, is between 5.1 and 5.7. We can use the standard normal distribution to do this by standardizing y:

z = (y - μ) / (σ / sqrt(n)) = (y - 5) / 0.24

The probability that y is between 5.1 and 5.7 is equivalent to the probability that z is between:

z1 = (5.1 - 5) / 0.24 ≈ 0.42

and

z2 = (5.7 - 5) / 0.24 ≈ 2.92

Using a standard normal distribution table or calculator, we can find that the probability of z being between z1 and z2 is approximately 0.4292.

Therefore, the probability that y is between 5.1 and 5.7 is approximately 0.4292.

To know more about probability visit:

https://brainly.com/question/30034780

#SPJ1

Hello there! I can help you with joy! :)

If we have 2 points, then we can find the slope using this formula:

m=\(\frac{y2-y1}{x2-x1}\)

y2=11

y1=-14

x2=11

x1=10

\(\frac{11-(-14)}{11-10}\)

\(\frac{11+14}{1}\)

25

Hope this helps you!

#HaveAnAmazingDay

\(GraceRosalia\)

Answer: 13x

Step-by-step explanation:

He multiply 13 by both side which caused a error

Answer:

You have to combine like terms. The 6 and the 5 go together to make 11. The -2x and the 4x go together to make 2x

The simplified answer should be 2x+11

Step-by-step explanation:

I am answering this during a test, lol.

Answer

C. x > -3

The unit rate of the relationship will be 10/3. The correct option is C.

The given equation is,

y = 10/3x + 8

The general form of an equation of the line is,

y = mx +  c

here, the slope will be 10/3

Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.

The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.

A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.

The unit relationship will be 10/3.

To know more about slope follow

https://brainly.com/question/19131126

#SPJ1