How do corresponding angles correspond with each other?

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

The answers to the questions on linear combination have been solved below

1. We can start by multiplying both sides by -2 to eliminate the x-term:

2x + 4y = 0

-2(2x + 4y) = -2(0)

-4x - 8y = 0

Now, we have:

-4x - 8y = 0

9x + 4y = 28

We can now use linear combination by adding these two equations to eliminate the y-term:

(-4x - 8y) + (9x + 4y) = 0 + 28

5x = 28

Dividing both sides by 5, we get:

x = 28/5

Now, we can substitute this value of x into either of the original equations to solve for y. Let's use the second equation:

2x + 4y = 0

2(28/5) + 4y = 0

56/5 + 4y = 0

4y = -56/5

y = -14/5

Therefore, the solution to the system of equations is:

x = 28/5

y = -14/5

We can check that these values satisfy both equations:

9x4y = 28

9(28/5)(-14/5) = 28

-352/25 = 28/25 (true)

2x + 4y = 0

2(28/5) + 4(-14/5) = 0

56/5 - 56/5 = 0 (true)

Therefore, the solution is verified.

2. The system of equations is:

5x + 3y = 41

3x - 6y = 9

We can simplify the second equation by dividing both sides by 3:

3x - 6y = 9

x - 2y = 3

Now we can use linear combination by multiplying the first equation by 2 to eliminate the y-term:

2(5x + 3y) = 2(41)

10x + 6y = 82

(x - 2y) + (10x + 6y) = 3 + 82

11x = 85

Dividing both sides by 11, we get:

x = 85/11

Now we can substitute this value of x into either of the original equations to solve for y. Let's use the first equation:

5x + 3y = 41

5(85/11) + 3y = 41

425/11 + 3y = 41

3y = 41 - 425/11

3y = (451 - 425)/11

y = 26/33

Therefore, the solution to the system of equations is:

x = 85/11

y = 26/33

We can check that these values satisfy both equations:

5x + 3y = 41

5(85/11) + 3(26/33) = 41

425/11 + 26/11 = 41

451/11 = 41 (true)

3x - 6y = 9

3(85/11) - 6(26/33) = 9

255/11 - 52/11 = 9

203/11 = 9 (true)

Therefore, the solution is verified.

3.

3(x - 2y) = 3(-8)

3x - 6y = -24

3x - 6y = -12

3x - 6y = -24

Subtracting the second equation from the first equation, we get:

0 = 12

This is a contradiction, since 0 cannot equal 12. Therefore, there is no solution that satisfies both equations.

This means that the system is inconsistent, and there are no solutions.

Read more on linear combination here: https://brainly.com/question/14495533

#SPJ1

Statistics help present data precisely and draw meaningful conclusions. While presenting data, one should be aware of using adequate statistical measures.

Readers are generally interested in knowing the variability within the sample, descriptive data should be precisely summarized with SD. The use of SEM should be limited to computing CI which measures the precision of population estimate. Journals can avoid such errors by requiring authors to adhere to their guidelines.

Studying the entire population is time and resource-intensive and not always feasible; therefore studies are often done on the sample, and data are summarized using descriptive statistics. These findings are further generalized to the larger, unobserved population using inferential statistics.

For example, to understand the cholesterol levels of the population, the cholesterol levels of the study sample, drawn from the same population are measured.

To learn more about individual variability visit,

https://brainly.com/question/23320848

h'(1) is equal to -2V54.

To find h'(1), we need to differentiate the function h(x) with respect to x and evaluate it at x = 1.

Given:

h(x) = V54f(x)

f(1) = -5

f'(1) = -2

First, let's find the derivative of h(x) using the chain rule:

h'(x) = d/dx [V54f(x)] = V54 * d/dx [f(x)]

Now, we substitute x = 1 into the expression to evaluate h'(1):

h'(1) = V54 * d/dx [f(x)] | x=1

Since we know f(1) = -5 and f'(1) = -2, we can substitute these values:

h'(1) = V54 * d/dx [f(x)] | x=1

      = V54 * f'(1)

      = V54 * (-2)

      = -2V54

Therefore, h'(1) is equal to -2V54.

To know more about differentiate refer here

https://brainly.com/question/13958985#

#SPJ11

To calculate the F-ratio, we would need the sum of squares, degrees of freedom, and mean squares from the ANOVA analysis, which are not provided in the given information.

The F-ratio for an ANOVA cannot be determined from the information provided. The F-ratio is calculated by comparing the variation between groups to the variation within groups, which requires additional information beyond the test statistic obtained from a t-test. In an ANOVA, the F-ratio is calculated by taking the ratio of the mean square between groups to the mean square within groups. The mean squares are obtained by dividing the sum of squares by their respective degrees of freedom.

To calculate the F-ratio, we would need the sum of squares, degrees of freedom, and mean squares from the ANOVA analysis, which are not provided in the given information. Therefore, it is not possible to determine the F-ratio using only the test statistic from a two-sample t-test.

To learn more about F-ratio click here: brainly.com/question/31827066

#SPJ11

Answer:

5

Step-by-step explanation:

this is in slope intercept form or y=mx+b

m represents slope and m is 5

Answer: \(m = 5\)

The slope of the line in this equation is 5.

y = mx + b

the m multiplied with x is the slope.

The number of passengers that :

Let :

Passengers that needs transfer = T = 35

Passengers going to work, W = 39

Passengers who do not need transfers and aren't going to work = 12

Using a venn diagram :

Let the Passengers who do not need transfers and are going to work and needs transfer = x

Passengers who need transfer only = 35 - x

Passengers who are going to work only = 39 - x

To find x :

35 - x + 39 - x + x + 12 = 64

86 - x = 64

-x = 64 - 86

-x = - 22

x = 22

the number of passengers that need transfers but aren’t going to work will be = 35 - 22 = 13 passengers

the number of passengers that are going to work but do not need transfers will be : 39 - 22 = 17 passengers

Learn more : https://brainly.com/question/1605100?referrer=searchResults

Answer:

x must be 14/4 = 7/2

Step-by-step explanation:

The sum of the three interior angles of a triangle must be 180 degrees.

Thus, in this particular case,

82 + 64 + 4x + 20 = 180, or

   146     + 4x = 160, or

                4x = 160 - 146 = 14

Then 4x = 14, and x must be 14/4 = 7/2

Answer:

x = 6

Step-by-step explanation:

72 + 64 + (4x + 20) = 180

4x + 156 = 180

4x = 180 - 156

4x = 24

x = 6

Answer:

what percent of 60 is 45, = 45/60 = x/100 = 75%,  16 is 20% of what number = 16/x = 20/100 = 80 not 75,  12.6 is 28%of what number = 45

Step-by-step explanation:

just trust me this would be to long to put on this space but if you have any queztions on why I ordered it this way just ask me.

Answer:

Ok

Step-by-step explanation:

When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

learn more about derivatives :

https://brainly.com/question/25324584

#SPJ4

When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

About second derivative here:

https://brainly.com/question/29090070

#SPJ11

The type of conic section that is represented in the provided equation form is ellipse.

To identify the type of conic section from an equation whether it is circle or ellipse.

Let us  suppose the equation as,

\(Ax^{2} +By^{2}+Cx+Dy+E=0\)

In this equation,

We have to identify the type of conic section that has the equation,

\(4x^{2} +25y^{2}=100\)

By comparing this equation with the above equation, we get,

\(A=4\\B=25\)

Here neither \(A\) or \(B\) is equal to \(0\) and the sign of both are

similar(positive), so the equation form is ellipse.

Therefore, the type of conic section which is represented in the provided equation form is ellipse.

To learn more about the conic section, visit the link here:

brainly.com/question/8320698

#SPJ4

It is improper to speak about the probability that the population mean is in a given confidence interval because a confidence interval is a statement about the precision of an estimate.

A confidence interval is constructed based on a sample from the population and is meant to provide an estimate of the range within which the true population parameter, such as the mean, is likely to fall. The confidence level associated with the interval represents the long-term success rate of the method used to construct the interval.

However, once the interval is constructed, it either contains the true population mean or it does not. The population mean is not a random variable that has a probability of being within a particular interval. Rather, it is a fixed but unknown value. Therefore, it is incorrect to assign a probability to the population mean being in a given confidence interval.

Instead, the correct interpretation of a confidence interval is that if the same sampling procedure were repeated many times, a certain percentage (represented by the confidence level) of the resulting intervals would contain the true population mean.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

To create a story context for the given expressions, which are (5 1/4 - 2 1/8) divided by 4 and 4 x (4.8/0.8).

Imagine there is a fruit store where you have to prepare fruit baskets for a local charity event. The first expression (5 1/4 - 2 1/8) divided by 4 can be a story about the number of apples to be distributed equally among four baskets.

You initially have 5 1/4 dozen apples, but you realize that 2 1/8 dozen of them are not suitable for the baskets.

To find out how many dozens of apples should be put into each basket, you need to subtract the unsuitable apples and divide the result by 4:

(5 1/4 - 2 1/8) / 4

Now, let's move on to the second expression, 4 x (4.8/0.8). This can be a story about the number of oranges you need to purchase for the fruit baskets. You already have 4.8 dozen oranges, but you need to add more to reach the desired ratio of oranges to apples.

Your friend suggests that for every 0.8 dozen oranges you currently have, you should add 4 more dozen oranges. To find out how many dozens of oranges you need to buy, you can use this formula:

4 x (4.8/0.8)

By creating these story contexts, you can use the given expressions to solve real-life problems, such as distributing fruits among charity baskets.

To know more about expressions refer here:

https://brainly.com/question/14083225

#SPJ11

Expected rate of return = 94.3%

Inflation rate is the rate of increase of prices of goods with the time being. It is also called devaluation of money. Risk free rate of return is an investment where possibility of risk is zero.

given, real risk-free rate = 2.5% = 0.025

the future rate of inflation = 2.8% = 0.028

nominal risk-free rate = (1 + real risk-free rate) / (1 + inflation rate)

nominal risk-free rate = (1+ 0.025) / (1 + 0.028) = 0.9971

now, rate of return = [(1 + nominal risk-free rate) / (1 + inflation rate)] - 1

 rate of return expected = [(1 + 0.9971) / (1 + 0.028)] - 1

                                      = 0.943

expected rate of return = 94.3 %

To learn more about inflation rate visit:

https://brainly.com/question/20715492

#SPJ1

Answer:

1/2

Step-by-step explanation:

Answer

1/2

Explanation

Good Luck ^-^

Answer:234000000000

Step-by-step explanation:

Answer:

B. m = 2 6-4 = 2

-----. _. = 2

-4-4 = 0

1 (7/24) cups of condensed soup were in the can.

Given,

There is a can of condensed soup .

The amount of milk  Alen mixes with the condensed soup = 1 1/3

Subtract amount of milk from total cups of soup:

2 ( 5/8 ) – 1 ( 1/3 )

Make the fraction in same form to make the subtraction easy.

2 ( 5/24 ) – 1 ( 8/24 )

Now solve

2 (15/24 ) – 1 ( 8/24 )= 1 ( 7/24 )

Here, there is 1 ( 7/24 ) cups of condensed soup in the can.

Learn more about fraction calculation here: https://brainly.com/question/644022

#SPJ4

The question is incomplete. And the corrected question is given below.

Alan mixes 1 1/3 cups of milk with a can of condensed soup. he makes a total of 2 5/8 cups of soup. how many cups of condensed soup were in the can?

The probability that the gambler has to play at least 3 rounds of the game before getting his first win is equal to 3/4.

The probability that the gambler has to play at least n rounds of the game before getting his first win is equal to 1 - (the probability of winning in the first n-1 rounds). To calculate the probability of winning in the first n-1 rounds, use the following formula:
P = (1/2)^(n-1)
Where P is the probability of winning in the first n-1 rounds.
For example, if the gambler has to play at least 3 rounds of the game, the probability of winning in the first 2 rounds is equal to (1/2)^(3-1) = (1/2)^2 = 1/4.

So, the probability that the gambler has to play at least 3 rounds of the game before getting his first win is equal to 1 - (1/4) = 3/4.

To learn more about probability refer :

https://brainly.com/question/11034287

#SPJ11

The possible change in volume (in mm3) resulting from the error in measuring the radius is 32. 06 mm³

Given,

A spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm

How to determine the volume

The formula for volume of a sphere is expressed by;

Volume = 4/3 πr³

Where;

r is the radius of the sphere

pi takes the value 3.14

From the information given, we have that the measured radius is 5 mm, with a possible measurement error of 0.1 mm

Then, radius  a = 5mm

Radius b = 5 + 0. 1 = 5. 01mm

Now, substitute the values into the formula

Volume, v = 4/ 3 (3.14)(5)³

v = 4/ 3 (392.5)

v = 523. 3 mm³

For radius of 5.01mm

Volume =  4/ 3 (3.14)(5.1)³

expand the bracket

Volume = 4/3 (416.52)

Volume = 555. 4 mm³

The change in volume = 555. 4 - 523. 3 = 32. 06 mm³

Hence, the change in volume is 32. 06 mm³

Learn more about Sphere's Volume at:

https://brainly.com/question/9994313

#SPJ4

Answer:

One Solution: x = - 4

Step-by-step explanation:

Step 1:

6x - 3x + 4 - 2x = 0         Equation

Step 2:

3x + 4 - 2x = 0            Combine Like Terms

Step 3:

x + 4 = 0       Combine Like Terms

Answer:

x = - 4         Subtract 4 on both sides

Hope This Helps :)

Let there be N number of kernels in the bag.

Given that the number o

To find the probability of getting 10 or more successes in a binomial experiment with p = 0.63 and n = 11 trials, we can use the cumulative probability function.

P(X ≥ 10) = 1 - P(X < 10)

Using a binomial probability formula, we can calculate the probability of getting exactly k successes:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where C(n, k) represents the binomial coefficient.

Let's calculate the probability for each value from 0 to 9 and subtract it from 1 to get the probability of 10 or more successes:

P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)

P(X < 10) = Σ[C(11, k) * p^k * (1 - p)^(11 - k)] for k = 0 to 9

Using this formula, we can calculate the probability:

P(X < 10) ≈ 0.121

Therefore, the probability of getting 10 or more successes in the binomial experiment is:

P(X ≥ 10) ≈ 1 - P(X < 10) ≈ 1 - 0.121 ≈ 0.879

Rounding to three decimal places, the probability is approximately 0.879.

Learn more about Probability here -:brainly.com/question/13604758

#SPJ11

Answer:

t/7

Step-by-step explanation:

Since the ratio between the amount of water and the time should be the same, 84/12 = 7.

Hence, the ratio is t/7.

Hope this helped!