Suppose a single trial experiment results in one of three mutually exclusive events, A, B, or C. It is known that P(A) = 0.3, P(B) = 0.6, and P(C) = 0.1. Find the probability P(ANC) Answer: Question 2 Not yet answered Points out of 2.00 P Flag question Refer to the previous question. Find the probability P(AUB). Answer:

The derivative of the given expression using the chain rule is -e^(-t/τ) cos(ωt)/τ.

To find the derivative of the given expression using the chain rule, we need to apply the chain rule formula, which states that if y = f(u) and u = g(x), then:

dy/dx = dy/du * du/dx

In this case, we have:

y = e^(-t/τ) * sin(ωt)

u = -t/τ

f(u) = e^u

g(x) = -t/τ

Using the chain rule formula, we can find:

dy/dx = dy/du * du/dx

dy/du = d/dx(e^u) = e^u * du/dx

du/dx = -1/τ

Substituting these values, we get:

dy/dx = e^(-t/τ) * cos(ωt) * (-1/τ)

dy/dx = -e^(-t/τ) * cos(ωt)/τ

Therefore, the value obtained is -e^(-t/τ) * cos(ωt)/τ.

To know more about chain rule refer here:

https://brainly.com/question/30416236#

#SPJ11

In the given research design, there are three independent variables. The notation "2x2x4" represents the number of levels or conditions for each independent variable.

The first independent variable has two levels (2x), the second independent variable has two levels (2x), and the third independent variable has four levels (4). Each independent variable is manipulated or varied independently of the others in order to examine their effects on the dependent variable(s). Therefore, there are three independent variables in this 2x2x4 research design.

Know more about research design here:

https://brainly.com/question/30156874

#SPJ11

The  examples that would constitute a discrete random variable are;

I. Total number of points scored in a football game

III. Number of near collisions of aircraft in a year

A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.

A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.

Read more on   discrete random variable here

https://brainly.com/question/17217746

#SPJ4

Answer:

\(5x - 15.5 = 6.7 \times 4.5 \\ 5x = 30.15 - 15.5 \\ 5x = 14.65 \\ 2 .93\)

The function \(f(x)=(logn)2+2n+4n+logn+50 belongs to the Θ(n)\) complexity category, in accordance with the big theta notation.

Let's get started with the solution to the given problem.

The given function is:

\(f(x) = (logn)2 + 2n + 4n + logn + 50\)

The term 4n grows much more quickly than logn and 2n.

So, as n approaches infinity, 4n dominates these two terms, and we may ignore them.

Thus, the expression f(x) becomes:

\(f(x) ≈ (logn)2 + 4n + 50\)

Next, we can apply the big theta notation by ignoring all of the lower-order terms, because they are negligible.

Since 4n and (logn)2 both grow at the same rate as n approaches infinity,

we may treat them as equal in the big theta notation.

Therefore, the function f(x) belongs to the Θ(n) complexity category as given in the question,

which is a correct option.

Alternative way of solving:

Given function:

\(f(x) = (logn)2 + 2n + 4n + logn + 50\)

Hence, we can find the upper and lower bounds of the given function:

\(f(x) = (logn)2 + 2n + 4n + logn + 50<= 4n(logn)2 (\)\(using the upper bound of the function)\)

\(f(x) = (logn)2 + 2n + 4n + logn + 50>= (logn)2 (using the lower bound of the function)\)

So, we can say that the given function belongs to Θ(n) category,

which is also one of the options mentioned in the given problem.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

Answer:

X = 3, Y = 1.

Step-by-step explanation:

X = 3 and Y = 1, because 2 times 3 equals 6, and 6 plus 1 equals 7. So that's for the first one, but now we need to make sure that it's the same value for the other equation. 3 times 3 equals 9, 4 times 1 equals 4, and 9 minus 4 equals 5. So X = 3, and Y =  1. Hope this helped :D

The mean of the sampling distribution of means for a population with a known population mean of 25 is also 25.

The sampling distribution of means refers to the distribution of sample means that can be obtained from multiple samples of the same size taken from a population. It represents the distribution of all possible sample means.

When the population mean is known, the mean of the sampling distribution of means will be equal to the population mean. This is because the sample means are calculated by taking random samples from the population, and the average of these sample means will converge to the population mean.

In this case, if the population mean for a population of 250 individuals is known to be 25, then the mean of the sampling distribution of means will also be 25.

To understand this concept further, consider the Central Limit Theorem. According to the Central Limit Theorem, as the sample size increases, the sampling distribution of means approaches a normal distribution, regardless of the shape of the population distribution. The mean of the sampling distribution of means will be equal to the population mean, and the standard deviation of the sampling distribution (known as the standard error) will be equal to the population standard deviation divided by the square root of the sample size.

Therefore, in this scenario, the mean of the sampling distribution of means will be 25, reflecting the known population mean. This concept is crucial in inferential statistics, as it allows us to make inferences about a population based on sample data.

Learn more about Central Limit Theorem here:

brainly.com/question/898534

#SPJ11

Answer:

6.75 servings

Step-by-step explanation:

\( \frac{3}{4} \times 9 = \frac{27}{4} = 6 \frac{3}{4} = 6.75\)

Answer:

9 servings

Step-by-step explanation:

feel free to ask where you don't understand.

Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

For more such questions deviations,click on

https://brainly.com/question/475676

#SPJ8

Answer:

Step-by-step explanation:

Degree of quadratic equation is 2

So, y = (x + 2)² - 6    ; y = x² - 4x + 2  & y = -(x -2)² + 5  are quadratic equation

(a + b)² = a² + 2ab + b²

y = (x + 2)² - 6

y = x² + 2*x*2 + 2² -6

y= x² + 4x + 4 -6

y= x² + 4x - 2

Degree = 2    

y = -(x - 2)² + 5

y = -[ x² - 2*x*2 + 2²] + 5

y = -[x² - 4x + 4)+5

y = -x² + 4x - 4 + 5

y = -x² + 4x + 1

Degree = 2

Answer:0.216667

Step-by-step explanation: I figured out how many ft r in a yard the how many seconds r in a mi then went from there.

The rejection region for the test is z > 2.33, which corresponds to option C) z > 2.33.

For the given hypothesis test where H0: µ = 9 and Ha: µ > 9 with a significance level (α) of 0.01, you want to find the rejection region in terms of the z-statistic. Since Ha states that µ > 9, it is a right-tailed test. You can use the standard normal distribution table or a calculator to find the critical z-value corresponding to α = 0.01.

For a right-tailed test with α = 0.01, the critical z-value is approximately 2.33.

The rejection region for the test is z > 2.33, which corresponds to option C) z > 2.33.

To learn more about critical value visit:

brainly.com/question/30168469

#SPJ11

The formula to find  the total number of shaded triangles in the first 10 sierpinski triangles is Sn = (1 - 310)/(-2).

The Sierpiski triangle, also known as the Sierpiski gasket or Sierpiski sieve, is a fractal appealing fixed set with the general shape of an equilateral triangle that is subdivided recursively into smaller equilateral triangles. The name Sierpiski is derived from the Polish language. This is one of the simplest instances of self-similar sets, meaning it is a mathematically generated pattern that can be replicated at any magnification or reduction. It was initially built as a curve.

The Sierpinski triangle can be divided into three self-similar sections (n=3), each of which can then be enlarged by a factor of two (m=2) to produce the full triangle. N = md, where n is the number of self-similar pieces and m is the magnification factor, is the formula for dimension d.

The formula to find  the total number of shaded triangles in the first 10 sierpinski triangles is Sn = (1 - 310)/(-2).

To learn more about Sierpinski triangle visit:

brainly.com/question/15263666

#SPJ1

Answer:

73in to the nearest inch

Step-by-step explanation:

r=d/2

r=25.3/2

r=11.6cm

C=2πr

C=πd

C=22/7×25.3

C=72.51

C=73 to the nearest inch

The corrector integration did not converge due to the delta-x convergence threshold of 0.010000 not being met, and the maximum number of corrector steps was exceeded.

In the given scenario, the corrector integration did not converge, indicating that the solution did not reach a stable state within the defined constraints. This failure can be attributed to two factors: the delta-x convergence threshold and the maximum number of corrector steps.

The delta-x convergence threshold, set at 0.010000, serves as a measure of how close the successive iterations of the corrector method should be to each other for convergence.

If the difference between consecutive iterations falls below this threshold, it signifies convergence. However, in this case, the threshold was not met, indicating that the iterations were not getting sufficiently close to each other.

Additionally, the maximum number of corrector steps was exceeded, suggesting that the iterations continued beyond the allowed limit. This could be due to the complexity of the problem or the initial conditions, preventing the solution from stabilizing within the given constraints.

Learn more about corrector integration

brainly.com/question/31954835

#SPJ11

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

Explanation:

The decrease is 0.4 million since 3.2 - 2.8 = 0.4

Divide this decrease over the initial population

0.4/3.2 = 0.125

This converts to 12.5% when you move the decimal 2 spots to the right.

The population decreased by 12.5%

Using translation concepts, we have that:

4. The type is f(x + k), with k = 3, and a horizontal shift.

5. The type is kf(x), with k = 5 and a vertical stretch.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For graph 4, we have function g(x) is a shift left of 3 units of function f(x), hence:

The type is f(x + k), with k = 3, and a horizontal shift.

For graph 5, we have that for each value of x, g(x) = 5f(x), hence:

The type is kf(x), with k = 5 and a vertical stretch.

More can be learned about translation concepts at https://brainly.com/question/28393734

#SPJ1

Where is the Graph.

Step-by-step explanation:

LOL

The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

Learn more about equations from

https://brainly.com/question/29657983

#SPJ4

0.18

Percentages and decimals are closely related. As a matter of fact, we don't need to use any actual math to solve this question because there is a shortcut.

Answer by Dividing

One way to solve the question is by dividing. Percentages are numbers that represent a portion of 100. So, to find the decimal form we can divide the percentage by 100.

Shortcut

While dividing by 100 can work, there is an easier way to find the decimal form. Dividing by 100 will always be equivalent to moving the decimal point 2 digits to the left.

The distance between the pair of points (3,8) and (7,5) is 5 units.

To find the distance d between the given pair of points (3,8) and (7,5), follow these steps:

Therefore, the distance between the pair of points (3,8) and (7,5) is 5 units.

Learn more about distance formula:

brainly.com/question/30395212

#SPJ11

Answer:

\(16\frac{2}{3}\)cm

Step-by-step explanation:

Given dimensions:

           \(3\frac{1}{6}\) cm by \(4\frac{2}{3}\)cm  by \(5\frac{2}{3}\) cm

The total length:

 it is the sum of all the sides;

         \(\frac{19}{6} + \frac{14}{3} + \frac{17}{3}\)  

LCM of the denominators = 6 ;

   \(\frac{38 + 28 + 34}{6}\)  = \(\frac{100}{6}\)

                 = \(\frac{50}{3}\)

                 = \(16\frac{2}{3}\)cm

The given "proof" is incomplete and does no longer provide a convincing argument for the statement that \(\sqrt{n}\) is irrational for every natural wide variety of n.

It begins by assuming that \(\sqrt{n}\) is rational, represented as \(\sqrt{n}\) = a/b, wherein a and b are integers and not using common factors and b isn't equal to zero.

The blunders in this evidence lie within the assumption that \(\sqrt{n}\) can be represented as a rational number. The evidence fails to expose a contradiction or offer proof that \(\sqrt{n}\) can not be expressed as a ratio of integers. In order to prove that \(\sqrt{n}\) is irrational, one has to show that there are not any viable values for a and b that satisfy the equation √n = a/b.

To establish the irrationality of \(\sqrt{n}\), legitimate evidence usually utilizes techniques along with evidence with the aid of contradiction or evidence by means of high factorization. These techniques involve assuming that \(\sqrt{n}\) is rational, manipulating the equation, and deriving a contradiction or showing that the idea results in a not possible situation.

Since the given proof lacks those crucial elements, it can't establish a declaration that \(\sqrt{n}\) is irrational for each natural range n.

To know more about rational numbers,

https://brainly.com/question/22221295

#SPJ4

The correct question is:

"What is wrong with the following "proof" of the statement that \(\sqrt{n}\) is irrational for every natural number n? "proof ". Suppose that \(\sqrt{n}\) is rational is a rational number."

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

Answer:

6 feet and 2 x-intercepts

mark as brainliest

and follow me in insta

ab_10july27

Answer:

hi

Step-by-step explanation:

Consequently, the area of triangle $AMN$ is equal to $A = \frac{1}{2}bh = \frac{1}{2}(4)(2) = 4$ cm2.

The area of triangle $AMN$ in square $ABCD$ can be calculated using the formula for area of a triangle, $A = \frac{1}{2}bh$, where $b$ is the length of the base and $h$ is the height of the triangle.

Since side $BC$ has a length of 4 cm, we can determine that $N$ is located 2 cm away from point $B$ and 2 cm away from point $C$.

Similarly, we can conclude that $M$ is located 2 cm away from point $C$ and 2 cm away from point $D$.

Therefore, the base of triangle $AMN$ is equal to 4 cm, and the height of triangle $AMN$ is equal to 2 cm.

for such more questions on Consequently

https://brainly.com/question/26182883

#SPJ11

Multiplying a function by a positive constant yields a function whose graph expands and contracts vertically with respect to the graph of the original function. If the constant is greater than 1, it will stretch vertically. If the constant is between 0 and 1, vertical compression is done.

Vertical stretching occurs when the base chart is multiplied by a certain factor greater than 1. This will pull the chart outwards but keep the input value (or x). When a function is stretched vertically, you would expect the y-values ​​of that plot to be farther from the x-axis.

Multiplying f(x) by factors of 3 and 6 will stretch the plot by the same factors. We can also see that their input values ​​(x in this case) remain the same. When f(x) was stretched vertically, only the y values ​​were affected.

If we |a| have > 1, a f(x) stretches the basis functions by a factor of a. The input values ​​remain the same, so the graph coordinates point is (x, ay).

This means that if f(x) = 5x + 1 is stretched vertically by a factor of 5, the new function corresponds to 5 f(x). So the resulting function is 5(5x + 1) = 25x + 5.

Once you have the graph of the function, you can stretch it vertically by pulling the curve outward based on the specified scaling factor. Note the following when stretching functions vertically:

Make sure the x values ​​are the same so the base of the curve doesn't change.

This means that when a vertical stretch is applied to the base graph, its x-intercept remains the same.

Learn more about Vertically stretch function:

https://brainly.com/question/10256009

#SPJ4

Answer : $12

Step By Step:

\(16-4=12\)

Answer:

totoy bilat yan po ung sagit

Step-by-step explanation:

mo maitim

Answer:

its D and A

Step-by-step explanation:

did the assigment gl