Rearrange the equation to isolate X
A=CD/X
X= _______
If C = 6.00, D = 9.00, and A = 3.00 what is the value of X?
X______
If A is halved while C and D remain constant, what happens to the value of X? A. The value of X is tripled. B. The value of X is doubled. C. The value of X does not change.

The highest point of a normal curve, also known as a Gaussian distribution or bell curve, always occurs at the mean. This is because the normal curve is symmetrical around the mean, with the same number of values on either side of the mean. Therefore, the peak of the curve must be directly above the mean.

The standard deviation is a measure of how spread out the values in a distribution are. For a normal distribution, approximately 68% of the values fall within one standard deviation of the mean, 95% fall within two standard deviations of the mean, and 99.7% fall within three standard deviations of the mean. Therefore, while the highest point of the normal curve occurs at the mean, the curve does extend out to both sides of the mean, with the height of the curve gradually decreasing as the distance from the mean increases.

Specifically, the point at which the curve begins to flatten out on either side of the peak is approximately one standard deviation away from the mean. At two standard deviations away from the mean, the curve has flattened out significantly, and at three standard deviations away from the mean, the curve is almost entirely flat. This is known as the empirical rule, or the 68-95-99.7 rule.

Understanding the normal curve and its characteristics is important in statistics and data analysis, as many real-world phenomena can be approximated using a normal distribution. By knowing the mean and standard deviation of a distribution, we can make predictions about the likelihood of various outcomes occurring.

for such more question on mean

https://brainly.com/question/14532771

#SPJ11

Answer:

P=152

A=79

Step-by-step explanation:

add all the sides

The hole in the graph of the function \(f(x) = (x^2 + 4x - 12)/(x - 2)\) is located at the point (4, -4).

To find the coordinates of the hole in the graph of the function, we need to determine the value of x where the denominator of the function becomes zero. In this case, the denominator is (x - 2). Setting it equal to zero, we get x - 2 = 0, which gives us x = 2.

Next, we substitute this value of x back into the function to find the corresponding y-coordinate. Plugging x = 2 into the function f(x), we get

\(f(2) = (2^2 + 4(2) - 12)/(2 - 2) = (-4/0)\), which is undefined.

Since the function is undefined at x = 2, we have a hole in the graph. The coordinates of the hole are given by the value of x and the corresponding y-coordinate, which is (-4) in this case. Therefore, the hole in the graph of the function f(x) is located at the point (2, -4).

Learn more about functions here:

https://brainly.com/question/28367675

#SPJ11

Answer:

multiply both sides by -1

X/8 > 6

multiplying 8 on both sides

X > 48 is the answer!

Answer:

Area: 201.06

Circumference:50.26

Step-by-step explanation:

Area of a circle: pi*r^2

8^2=8*8=64

64*pi=201.06193 Rounded to the neares hundredth=201.06

_________________________________________________

Circumference of a circle: 2pi * r

2*8=16

16*pi=50.2654825 Rounded to the nearest hundredth = 50.26

Step-by-step explanation:

750 tenths = 750/10 = 75

24 thousandths = 24/1000 = 0.024

75 + 0.024 = 75.024

Answer: √141

Step-by-step explanation:

a^2=c^2-b^2

The hypotenuse is larger in this question so we subtract them.

25^2-22^2=625-484=141

√141

Answer:

x = √141  

or

x = 11.87

Step-by-step explanation:

is a right triangle, we solve it with the Pythagorean theorem ("In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".)

x² = 25² - 22²

x² = 625 - 484

x² = 141

x = √141  

or

x = 11.87

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

The numerical value "62" is a statistic because it is based on the sample of passengers aboard the Hindenburg airship.

In the given scenario, the numerical value is "62." We are told that there were 97 passengers aboard the Hindenburg airship and that 62 of them survived its explosion.

Since the numerical value is based on the sample (i.e., the passengers aboard the Hindenburg airship), it is a statistic. It describes the proportion of passengers who survived the explosion in the sample.

If we wanted to know the proportion of passengers who survived the explosion in the entire population (i.e., all passengers who have ever traveled on the Hindenburg airship), we would need to determine the parameter.

However, since we do not have data on the entire population, we cannot determine the parameter.

To know mare about statistic refer here:

https://brainly.com/question/29093686#

#SPJ11

Decimal approximation found is;

x ≈ 12.54

4) Applying the natural logarithm, we get:
\(ln 3^{7x\) = ln(3.3)

Applying the property of logarithms that says ln(\(a^b\)) = b ln(a).

7x ln(3) = ln(3.3)

Dividing both sides by ln(3), we get:

7x = ln(3.3)/ln(3)
Using a calculator, we get:

x ≈ 0.378

5) Applying  natural logarithm, we get:
\(ln(e^{x+3})\) = ln(7)

Applying property of logarithms that says ln(\(e^a\)) = a.

x + 3 = ln(7)

Subtracting 3 from both sides, we get:

x = ln(7) - 3

Using a calculator, we get:

x ≈ 1.95

6) Applying the natural logarithm, we get:
\(ln(7^x}) = ln(6^{x+7})\)

Applying property of logarithms that says ln(\(a^b\)) = b ln(a).
x ln(7) = (x+7) ln(6)

Expanding the right side using the distributive property, we get:

x ln(7) = x ln(6) + 7 ln(6)

Subtracting x ln(6) from both sides, we get:

x ln(7) - x ln(6) = 7 ln(6)

Factoring out x on the left side, we get:

x (ln(7) - ln(6)) = 7 ln(6)

Dividing both sides by ln(7) - ln(6), we get:

x = 7 ln(6)/(ln(7) - ln(6))

Using a calculator, we get:

x ≈ 12.54

Learn more about natural logarithm.

brainly.com/question/20785664

#SPJ11

The chain rule is a fundamental concept in calculus that allows us to differentiate composite functions, which are functions that are formed by combining two or more simpler functions.

The chain rule states that the derivative of a composite function is equal to the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function with respect to its argument.
In your question,

We have two functions: h(u) and u(x).

The function h(u) depends on the variable u, while u(x) depends on the variable x.

To differentiate h(u) with respect to x, we need to use the chain rule. We can write the chain rule as follows:
dh/dx = dh/du * du/dx
Here, dh/du represents the derivative of the function h(u) with respect to u, while du/dx represents the derivative of the function u(x) with respect to x.

The chain rule tells us that to find the derivative of the composite function h(u(x)), we need to multiply the derivative of the outer function h(u) with respect to its argument u (i.e., dh/du) by the derivative of the inner function u(x) with respect to its argument x (i.e., du/dx).
In other words,

The chain rule allows us to "chain" together the derivatives of the two functions to find the derivative of the composite function.

By applying the chain rule, we can calculate the derivative dh/dx in terms of the derivatives dh/du and du/dx.
For similar question on fundamental concept:

https://brainly.com/question/9671535

#SPJ11

When we apply the chain rule for functions h(u) and u(x), we can express the rate of change of h with respect to x in terms of the rates of change of h with respect to u and u with respect to x. Using the chain rule formula, we have: dh/dx = (dh/du) * (du/dx)

This means that the rate of change of h with respect to x is equal to the product of the rate of change of h with respect to u and the rate of change of u with respect to x. This formula is useful in calculating derivatives in cases where a function is composed of multiple functions nested within each other.

The correct formula should be:

dh/dx = dh/du * du/dx

Now, to answer your question using the chain rule for functions h(u) and u(x), we can follow these steps:

1. Find the derivative of h(u) with respect to u, which is dh/du.
2. Find the derivative of u(x) with respect to x, which is du/dx.
3. Multiply the results of steps 1 and 2 to obtain the derivative of h(u(x)) with respect to x, which is dh/dx.

So, by applying the chain rule to functions h(u) and u(x), we have:

dh/dx = dh/du * du/dx

Learn more about chain rule at: brainly.com/question/30117847

#SPJ11

The real-world problem involving a related set of two equations is given below:

Problem: Cost of attending a concert  is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.

The related set of two equations are:

Equation 1: The total cost (C) of attending the concert is given by:

The equation C = B + P x N,

where:

B  = the base price

P  = the price per ticket,

N = the number of tickets purchased.

Equation 2: The maximum budget (M) a person have for attending the concert is:

The  equation M = B + P*X

where:

X = the maximum number of tickets a person can afford.

So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.

Learn more about equations from

https://brainly.com/question/2972832

#SPJ1

The temperature in Indiana can be calculated as 8°F + 12°F = 20°F. On that day, the temperature in Indiana was 20°F.

The temperature in Minnesota was 8°F on a certain day. On that same day, the temperature in Indiana was 12°F higher. To find the temperature in Indiana, we add the temperature difference to the temperature in Minnesota. In this case, the temperature difference is 12°F.

Therefore, the temperature in Indiana can be calculated as 8°F + 12°F = 20°F.

On that day, the temperature in Indiana was 20°F.

It's important to note that this calculation assumes a linear relationship between the temperatures in Minnesota and Indiana. However, temperature variations can be influenced by various factors such as location, weather systems, and local climate patterns. Thus, while this calculation provides an estimate, actual temperature conditions may differ due to these factors. For accurate and up-to-date temperature information, it is recommended to refer to reliable weather sources or meteorological data.

To learn more about temperature visit:

brainly.com/question/27894163

#SPJ11

34 singers can finish in first and second places is 1122 ways.

Given that there are 34 participants in a singing competition, the judges of the competition are voting to select the top two singers for the first and second place.

We need to calculate the number of ways that 34 singers can finish in first and second places.

Therefore, the total number of ways that 34 singers can finish in first and second places is 34 × 33 = 1122 ways. So, the number of ways that 34 singers can finish in first and second places is 1122 ways.

To learn more about voting, refer below:

https://brainly.com/question/31676256

#SPJ11

The  required general solution for the given equation is

y(x) = \(e^{(-x/2)(C1 sin(\sqrt{(7/2)x} )}\) + C2 cos(√(7/2)x)) + \(e^{(-x/2)(C3 sin(\sqrt{(21/2)x }\)+ C4 cos(√(21/2)x))

here

C1, C2, C3 and C4 = constants determined by initial conditions.

It is given to us

y = sin(x) is a solution of y⁴ + 2y"' + 11y" +2y' + 10y = 0, by the method of undetermined coefficient we can calculate the general solution.

we evaluate the differential equation by considering that

y = \(e\sqrt{(rx)}\). We get r⁴ + 2r³ + 11r² + 2r + 10 = 0.

After factorizing the equation as

(r² + r + 2)(r² + r + 5) = 0.

The  evaluated roots of this equation are

r = -1/2 ± i√(7/2) and r = -1/2 ± i√(21/2).

We know that sin(x) is a solution of the differential equation,

Therefore, y = A sin(x) + B cos(x) is also a solution.

Now implementing the roots that we have derived, the general solution is

y(x) = \(e ^{(-x/2)(C1 sin(\sqrt{(7/2)x\)+ C2 cos(√(7/2)x)) + \(e ^{(-x/2)(C3 sin\sqrt{((21/2)x)} }\)+ C4 cos(√(21/2)x))

The  required general solution for the given equation is

y(x) = \(e^{(-x/2)(C1 sin(\sqrt{(7/2)x} )}\) + C2 cos(√(7/2)x)) + \(e^{(-x/2)(C3 sin(\sqrt{(21/2)x }\)+ C4 cos(√(21/2)x))

here

C1, C2, C3 and C4 = constants determined by initial conditions.

To learn more about differential equation,

https://brainly.com/question/1164377

#SPJ4

The distribution that the residuals in our model to follow is equals to the normal probability distribution. So, option(a).

Because residuals are defined as the difference between any data point and the regression line, they are sometimes called "errors". An error in this context does not mean that there is anything wrong with the analysis. In other words, the residual is the error that is not described by the regression line. The residue(s) can also be expressed by "e". The formula is written as, Residual = Observed value – predicted value or

\(e = y – \hat y \).

In order to draw valid conclusions from your regression, the regression residuals should follow a normal distribution. The residuals are simply the error terms or differences between the observed value of the dependent variable and the predicted value. Therefore, the residuals should have a normal distribution.

For more information about residuals, visit:

https://brainly.com/question/15404560

#SPJ4

Complete question:

we desire the residuals in our model to have which probability distribution? select answer from the options below

a) normal

b) binomial

c) poisson

Answer:

1st box = -5, 2nd box is -8, and 3rd box is 49

Step-by-step explanation:

1st and 2nd box are just the center of the circle, which is (-5,-8) which is why you put those there. The last box is the radius squared. The radius is 7 because the distance between -5 and 2 is 7 and 7 times 7 is 49

Answer:

x < 38 represents that there is less than 38 cubic meters of water in the pool.

Step-by-step explanation:

" < " sign represents less than.

" > " sign represents more than.

" ≥ " sign represents at least or more than.

" ≤ "sign represents at least or less than.

Answer:

B

Step-by-step explanation:

The sign < means less than

Given x is the volume of the pool

Therefore, x < 38 means the volume of the pool is less than 38 m³

For information, the statements written as inequalities would be

A: x > 38

B: x < 38

C: x ≥ 38

D: x ≤ 38

Answer:

I need a question, then I will help

Step-by-step explanation:

False, if an overall F-test in an ANOVA model is significant, it is important to conduct follow-up comparisons to test for differences between pairs of means.

When the overall F-test in an ANOVA model is found to be significant, it indicates that there is evidence of at least one significant difference among the group means. However, it does not provide specific information about which particular group means are different from each other. Therefore, follow-up comparisons, such as post hoc tests or pairwise comparisons, are necessary to determine the specific pairs of means that are significantly different.

These follow-up comparisons allow for a more detailed understanding of the group differences and help identify which specific groups are driving the significant overall F-test result. By conducting these additional tests, researchers can gain insights into the specific pairwise differences and make more accurate and informed interpretations of their data.

To know more about ANOVA : brainly.com/question/30763604

#SPJ11

The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.

Given that From the top of a tower 14m high

The angle of depression of a student is 32°

we can use trigonometry to find the distance from the foot of the tower to the student:

tan(32°) = opposite/adjacent = 14/distance

Rearranging this equation gives:

distance = 14/tan(32°)

= 25.63m

Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?

How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?

A2A

y = mx + C is often called slope-intercept form.

There are two pieces of information you will need to solve for. #1: The slope, which is m, and #2: the y-intercept, which is C (incidentally I learned this as y = mx + b, instead of y = mx + C, but that is a trivial detail)

Step #1 Find the slope. use the formula slope = (y₂ - y₁)/(x₂ - x₁) => (7 - -3)/3 - -2) = 10/5 = 2. m=2

Step #2 Find the y-intercept. Solve for y = mx + C when x is 2 and x = -2 and y = -3 -3 = 2(-2) + C => -3 = -4 + C add 4 to both sides, 1 = C

Equation: y = 2x + 1.

Check: x = 3 => y = 2(3) + 1 => y = 6 + 1 => y = 7 => (3, 7)

Check: x = -2 => y = 2(-2) + 1 => y = -4 + 1 => y = -3 => (-2, -3)

The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

To know more about the method of substitution, here

https://brainly.com/question/26094713

#SPJ4

Answer:

it's jsjehejejsjdjehhehedjbxvjjvjxjxjxidgidiftytfhfyf

Kekskekeke

Step-by-step explanation:njbnmmk

Answer:

It should be 7! :)

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

Step-by-step explanation:

4* 9* 5

= 180

I think that is the answer

Hope it helps :)

The number represented by 2² × 3² × 5  is 180.

Prime factorisation is factoring a given composite number in terms of prime numbers multiplied with each other.

Prime numbers are those numbers which are only divisible by 1 and the number it self.There are 25 prime numbers from 1 to 100 and 47 prime numbers from 1 to 200.

According to the given question the number represented by prime factorisation 2² × 3² × 5 = 4 × 9 × 5 which is

= 36 × 5

= 180.

learn more about prime factorisation here :

https://brainly.com/question/24298927

#SPJ2

Answer:

C. (9,3)

Step-by-step explanation:

not sure if i'm right.. but i hope it helps!

Answer:

x - 2y=3

Step-by-step explanation:

x - 2y=3