When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as:.

The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

Know more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

2/5

Step-by-step explanation:

The eye color of people on commercial aircraft flights is not a random variable.

What is random variable?

Random variables are variables that can take on different values based on the outcome of a random event or experiment.

However, eye color is a characteristic of individuals and does not vary randomly within a specific context, such as being on a commercial aircraft flight. Eye color is determined by genetic factors and does not change during a flight or as a result of being on a flight.

Eye color is a categorical variable that represents the color of an individual's eyes, such as blue, green, brown, or hazel. While it is not a random variable in the context of commercial aircraft flights, it can still be observed and recorded as a characteristic of the passengers on the flight.

Learn more about random variable here:

https://brainly.com/question/16730693

#SPJ4

Since the sum of the numbers selected must exceed 1, we know that n must be at least 1. Therefore, the expected value of X is finite and is equal to 2.

The expected value of the count of numbers that are selected can be found using the geometric distribution, since it models the number of trials until a success occurs.

Let X be the number of numbers that are selected until the sum of all numbers exceeds 1. Then X has a geometric distribution with parameter p, where p is the probability of success on each trial, i.e. the probability that the sum of all numbers selected does not exceed 1.

Since the numbers are selected uniformly over [0, 1], the probability of success on each trial is given by the area under the curve between 0 and 1 after the first number is selected.

On the first trial, the probability of success is 1. On the second trial, the probability of success is the area under the curve between 0 and (1 - the first number selected).

On the third trial, the probability of success is the area under the curve between 0 and (1 - the sum of the first two numbers selected), and so on.

The expected value of X can be found using the formula for the expected value of a geometric distribution:

E(X) = 1/p

Since the expected value of the sum of n independent and identically distributed uniform [0, 1] random variables is n/2, we can use this to find p:

E(X_1 + X_2 + ... + X_n) = n/2

where X_1, X_2, ..., X_n are the n numbers selected.

So, p = 1 / (1 + n/2).

Finally, we can substitute this into the formula for E(X) to find the expected value of X:

E(X) = 1 / (1 - n/2) = 2 / (2 - n)

For more questions on geometric distribution :

brainly.com/question/30478452

#SPJ1

The expected winnings of the player in one game can be calculated by determining the probability of each outcome and multiplying it by the corresponding amount won or lost.

In this game, there are three possible outcomes: winning $10, winning $20, or losing $1.

To calculate the probability of winning $10, we need to find the probability of getting a sum of 7 or 11. There are six possible outcomes that satisfy this condition: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). Since each die has six sides, the total number of outcomes is 6 * 6 = 36. Therefore, the probability of winning $10 is 6/36 or 1/6.

To calculate the probability of winning $20, we need to find the probability of getting a sum of 12. There is only one possible outcome that satisfies this condition: (6, 6). Therefore, the probability of winning $20 is 1/36.

The probability of losing $1 can be calculated by subtracting the probabilities of winning from 1. Therefore, the probability of losing $1 is 1 - (1/6 + 1/36) = 29/36.

Now we can calculate the expected winnings by multiplying the probabilities by the corresponding amounts and summing them up: (1/6 * 10) + (1/36 * 20) + (29/36 * -1) = 10/6 + 20/36 - 29/36 = 100/36 - 9/36 = 91/36.

Thus, the expected winnings of the player in one game is 91/36.

To learn more about die visit:

brainly.com/question/4292961

#SPJ11

The one-way ANOVA test would be the best choice to compare the average number of adjustments made by service representatives at five different locations in Texas.

To compare the average number of adjustments made by service representatives at five different locations in Texas, the best choice of statistical test would be the one-way ANOVA (Analysis of Variance) test.

The one-way ANOVA test is used to compare the means of three or more independent groups to determine whether there is a statistically significant difference between them.

Five different groups (locations) that we want to compare.

The one-way ANOVA test allows us to test the null hypothesis that all the groups have the same population mean, against the alternative hypothesis that at least one group has a different population mean than the others.

If the p-value is less than the significance level (usually set at 0.05), we can reject the null hypothesis and conclude that there is a statistically significant difference between the means of the groups.

The one-way ANOVA test, we can determine whether there is a significant difference in the average number of adjustments made by service representatives across the five different locations in Texas.

If a significant difference is found, we can then conduct post-hoc tests to determine which specific locations have different means.

For similar questions on average

https://brainly.com/question/130657

#SPJ11

Answer:

15

Step-by-step explanation:

because the absolute value of -5 is 5 and the absolute value of 10 is 10. You add them together to get the distance in between them to get 15.

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

Visit here to learn more about median:

brainly.com/question/26177250

#SPJ11

The number of independent variables that can be tested in a single experiment depends on various factors, including the research design, resources, and the complexity of the study. In general, it is best to limit the number of independent variables to maintain control over the experiment and facilitate clear interpretation of results.

In simpler experiments, researchers often focus on a single independent variable to study its effect on the dependent variable while controlling for other factors. This allows for a clear cause-and-effect relationship to be established.

However, in more complex experiments, researchers may introduce multiple independent variables to examine their combined effects or interactions. This can provide insights into how different factors influence the outcome simultaneously.

The exact number of independent variables that can be tested in a single experiment varies, but it is generally recommended to keep the number manageable and avoid excessive complexity. This ensures that the experiment remains feasible, interpretable, and effectively addresses the research question or hypothesis.

Learn more about Independent Variables at

brainly.com/question/17034410

#SPJ4

Answer:

he can buy 5 quarts of milk

Step-by-step explanation:

Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

99/4 = 24 3/4

Step-by-step explanation:

25 1/2 = (25 x 2 + 1)/2 = 51/2 = 102/4

102/4 - 3/4 = 99/4 = 24 3/4

The relationship between and in terms of equation is linear model

In statistics, linear relationships are often studied as they provide a simple way to model data. However, not all relationships between variables can be accurately represented using a linear model. In such cases, transforming the variables can sometimes reveal a nonlinear relationship.

When we say we have found a linear relationship between two variables, it means that one variable can be expressed as a linear function of the other.

If we have two variables x and y, a linear relationship between them would be of the form y = mx + b, where m is the slope of the line and b is the y-intercept. This means that as x increases or decreases, y changes in a straight-line fashion.

To find the nonlinear relationship between the original variables, we need to invert the transformation. In this case, we can express y in terms of x by using the inverse of the transformation we applied. Let's say we applied a transformation of the form y' = log(y) and x' = log(x), then we can invert this transformation by taking the exponential of both sides of the equation, giving us

=> \(y = e{y'}\) and \(x = e^{(x').}\)

Using these equations, we can express the linear model in terms of the original variables as

=> \(y = e^{(mx' + b)}\)

Therefore, the relationship between y and x in terms of e and the rounded numerical value is given by

=> \(y = e^{(mx' + b)}\)

where m and b are the slope and intercept of the linear model.

To know more about linear relation here.

https://brainly.com/question/14534534

#SPJ4

Answer:

4

Step-by-step explanation:

Point slope Formula: y2-y1/x2-x1

10+2/7-4

=4

Answer:

40 ft^2

Step-by-step explanation:

lateral surface area -Slat = 24 ft^2

top surface area-Stop = 8 ft^2

bottom surface area-Sbot = ft m^2

24+8+8= 40

total surface area-Stot = 40 ft^2

The surface area of a rectangular prism or cedar chest of 2 feet tall, 4 feet wide, and 2 feet deep is 40ft sq.

The length of a rectangular prism is 2 feet.

The width of a rectangular prism is 4 feet.

The height of a rectangular prism is 2 feet.

we need to find the surface area of a rectangular prism.

A rectangular prism is a 3-dimensional representation, that has six rectangular faces two at the top and bottom and four are lateral faces. A rectangular prism is also known as a cuboid.

The surface area of a rectangular prism = 2(lb + bh + lh)

So, the surface area of a rectangular prism = 2(lb + bh + lh)

\(=2(2\times4+4\times2+2\times2)\\=2(8+8+4)\\=40\)

Hence, the surface area of a rectangular prism or cedar chest is 40ft sq.

Learn more about a rectangular prism here:

https://brainly.com/question/21308574

The variance of a sample or a population cannot be negative. This means that option c, negative, is the correct answer.

Variance is a statistical measure that quantifies the dispersion or spread of data points around the mean. It tells us how much the individual data points deviate from the average. The variance is always a non-negative value because it is calculated by summing the squared differences between each data point and the mean, divided by the total number of data points.
If the variance were negative, it would imply that the sum of the squared differences between each data point and the mean is less than zero. However, this is not possible because squared differences are always positive or zero.
On the other hand, options a, zero, and d, less than 1, are incorrect. The variance can be zero if all the data points in the sample or population are the same, indicating no dispersion. Additionally, the variance can be any positive value, including values less than 1.
To summarize, the variance of a sample or a population cannot be negative, making option c, negative, the correct answer.

Learn more about variance:

https://brainly.com/question/15707019

#SPJ11

Answer:

200>15+10h

Step-by-step explanation:

200=15+10h

185=10h

18.5=h

As long as Andrew babysits LESS THAN 18.5 hours each week, he will be able to save for a car without having to pay rent.

Can i get brainliest please?

To find the values of the variables in similar polygons, we need more specific information about the problem.

Similar polygons have corresponding angles that are equal and corresponding sides that are proportional. However, without knowing any specific measurements or relationships between the sides and angles, it is not possible to determine the exact values of the variables. Therefore, we cannot provide a numerical answer without additional information.

In order to solve for the variables in similar polygons, we typically need either the ratio of corresponding side lengths or the measure of at least one angle. With this information, we can set up proportions and solve for the unknown variables. However, since the problem did not provide any measurements or ratios, we cannot proceed with finding specific values for the variables. It is important to have precise information about the relationships between the sides and angles of the polygons in order to calculate the values accurately.

To learn more about polygons click here: brainly.com/question/23846997

#SPJ11

Answer:

40% = 0.40

800 / 0.40 = 2000 total tickets were sold

Step-by-step explanation:

The number of columns in the first matrix must equal the number of rows in the second matrix in order to multiply matrices with different dimensions.

    3. Determine the dot product of the corresponding row in matrix A          and the corresponding column in matrix B for each element in matrix C.

    4: The final response is matrix C, which is the union of the 2x3 matrix A and the 3x4 matrix B.

     Therefore, the result is a 2x4 matrix, which is produced by taking the dot product of the rows and columns of matrix A and matrix B.

To know more about matrices at :

brainly.com/question/12088021

#SPJ4

If the discriminant is 0, then you'll have exactly one root. This is a double root since the root repeats itself.

Example: y = (x-5)^2 = x^2-10x+25 has a double root at x = 5

True, If the zero vector is a solution of the system , then the system is homogeneous.

A system of linear equations is considered homogeneous if the zero vector (i.e., the vector with all components equal to 0) is a solution. This means that the system of equations only has the trivial solution of all variables equal to zero, but no non-trivial solutions.

A homogeneous system of linear equations is a system where all the equations have the same form and all the coefficients are proportional to each other. This means that if one equation is multiplied by a constant, the same constant must be multiplied by all the other equations in the system to maintain the homogeneous property.

The zero vector is a solution of a homogeneous system because if all the variables are equal to zero, all the coefficients in the equations are also equal to zero and the equations are satisfied. This is why the presence of the zero vector as a solution is a defining characteristic of homogeneous systems.

In contrast, a non-homogeneous system is a system where the zero vector is not a solution and there are both trivial (zero) and non-trivial (non-zero) solutions. Non-homogeneous systems are solved using different methods compared to homogeneous systems.

Learn more about homogeneous systems here:

https://brainly.com/question/14934034

#SPJ4

Based on the calculations, the coordinates of the other endpoint are equal to (-20, 10).

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

-7 = (6 + x₂)/2

Cross-multiplying, we have:

-14 = 6 + x₂

x₂ = -14 - 6

x₂ = -20.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

4 = (-2 + y₂)/2

Cross-multiplying, we have:

8 = -2 + y₂

y₂ = 8 + 2

y₂ = 10.

Read more on midpoint here: https://brainly.com/question/27663120

#SPJ1

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

The inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:

a)

\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)

To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:

\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)

Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of

\(e^(-0.5s) \: is \: e^(0.5t).\)

Applying this, we get:

\(f(t) = 2e^(0.5t) * t \\

b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)

We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)

Simplifying, we have:

\(F(s) = \large{\frac{1}{s-2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(2t) \\

c) F(s) = \large{\frac{s-1}{s^2+s-2}}

\)

We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:

\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{1}{s+2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-2t) \\

d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)

We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{e^{-s}}{s+2}}\)

The Laplace transform of

\(e^(-s) \: is \: 1/(s + 1).\)

Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

learn more about inverse Laplace transform: https://brainly.com/question/27753787

#SPJ4

The value of the expression,  5(\(2^{-3}\)) is expressed as: 5/8.

We are given the expression, 5(\(2^{-3}\)), to find the value of the expression, the steps explained below should be taken.

5(\(2^{-3}\)) [given expression]

Apply the negative exponents rule to evaluate the exponent in the expression

5(\(2^{-3}\)) = 5(1/2³)

5(\(2^{-3}\)) = 5/2³

Solve the exponent to eliminate the power of minus 3

5(\(2^{-3}\)) = 5/(2 × 2 × 2)

5(\(2^{-3}\)) = 5/8

Thus, the value of the expression,  5(\(2^{-3}\)) is expressed as: 5/8.

Learn more about the value of an expression on:

https://brainly.com/question/27645718

#SPJ1