Simplify x ^8/ x ^6 ​

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

Probability serves as an indicator of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing an unlikely event and 1 representing an unavoidable event. Switching a fair coin and coin flips has a probability of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probability theory is a branch of mathematics that studies happenings rather than their properties. It is applied in many fields, including statistics, fund, science, and engineering.

The central limit theorem can be used to approximate the sample mean distribution as a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.

The standard error of the mean (SE) is calculated as follows:

SE = σ/√n

Where n is the sample size and is the population standard deviation.

SE = 83/√160 = 6.575

Z = (X - μ) / SE

Where X represents the sample mean, is the population mean, and SE represents the standard error of the mean.

Z = (553.9 - 541) / 6.575 = 1.94

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

Answer: One solution

Step-by-step explanation:

Since both equations are set equal to t, we know that 5c+35=10c. This is a linear equation with one solution, and since this is a system of two linear equations, this means there must be one solution.

Answer:

B and C or

✔ one solution

and

✔ The equations graph intersecting lines.

Step-by-step explanation:

Answer:

Slope: 7/5

Step-by-step explanation:

Slope is rise over run, so from the first dot to the second one, it rises by seven and runs by 5.

Hope this helped :)

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

Learn more about standard deviation at https://brainly.com/question/475676

#SPJ1

Answer:

It should be -1.16

Step-by-step explanation:

Hope this helps :)

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Bank Reconciliation Statement:

Bank reconciliation statements are prepared to find out the facts behind the differences between the cash account balance and the balance shown by the bank statement. Periodical bank reconciliation helps to prevent frauds and rectify any accounting errors and mistakes.

Calculation of Cash Account Balance of Brentwood Bike Co. as of May 31:

1. Bank Reconciliation Statement of Bentwood Bike Co. as of May 31.

Balance as per cash account  $35,670

Add:  

Less:  

2. Journal Entries to be recorded:

3. Computation of cash account balance should be reported in the balance sheet on May 31:

Learn more about Bank Reconciliation Statement at:

https://brainly.com/question/15525383

#SPJ1

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

5 x 5 x 5 x 5 x 5

Step-by-step explanation:

Answer:

88.9

Step-by-step explanation:

Jeremy is incorrect because a negative plus a negative will always be a negative.

The scale factor is 4/5.

In mathematics, a fraction represents a part of a whole. A fraction consists of two numbers separated by a horizontal line called a fraction bar or a division sign. The number above the bar is called the numerator, and the number below the bar is called the denominator.

The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of a total of four equal parts.

Fractions can be written in different forms, such as proper fractions, improper fractions, and mixed numbers.

A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.

An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.

A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.

Fractions are used in many real-life situations, such as cooking, measuring, and financial calculations. They are also an essential part of mathematics and are used in operations such as addition, subtraction, multiplication, and division.

To find the scale factor, we can compare the ratios of the corresponding side lengths of the congruent triangles.

Scale factor = (corresponding side length in triangle FQX) / (corresponding side length in triangle CVI)

Let's first identify the pairs of congruent angles:

Angle FQX = angle CVI (both are right angles)

Angle XQF = angle ICV (corresponding angles)

Angle FXQ = angle CVI (corresponding angles)

Now let's write the ratios of the corresponding side lengths in a proportion:

FQ / CV = QX / VI = XF / IC

Substituting the given values, we have:

28 / 35 = 36 / 45 = 24 / 30

Simplifying each fraction, we get:

4 / 5 = 4 / 5 = 4 / 5

Therefore, the scale factor is 4/5.

To know more about corresponding visit:

https://brainly.com/question/7071992

#SPJ1

Answer:

b

Step-by-step explanation:

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Given statement solution is :- Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages: Simplification and abstraction, Prediction and simulation, Cost and time efficiency, Insight and understanding.

Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages:

Simplification and abstraction: Mathematical models allow complex systems or processes to be represented using simplified mathematical equations or algorithms. This simplification helps in understanding the underlying principles and relationships of the system, making it easier to analyze and predict outcomes.

Prediction and simulation: Models enable scientists to make predictions about the behavior of a system under different conditions. They can simulate scenarios that are difficult or impossible to observe in the real world, allowing researchers to explore various hypotheses and make informed decisions.

Cost and time efficiency: Models can be used to explore different scenarios and test hypotheses in a relatively quick and cost-effective manner compared to conducting real-world experiments. They can help guide experimental design by providing insights into the most relevant variables and parameters.

Insight and understanding: Mathematical models often reveal underlying patterns and relationships that may not be immediately apparent from experimental data alone. They provide a framework for organizing and interpreting data, leading to a deeper understanding of the system being studied.

However, mathematical models also have limitations and potential disadvantages:

Simplifying assumptions: Models are based on assumptions and simplifications, which may not fully capture the complexity of the real-world system. If these assumptions are incorrect or oversimplified, the model's predictions may be inaccurate or misleading.

Uncertainty and error: Models are subject to uncertainties and errors stemming from the inherent variability of the system, limitations in data availability or quality, and simplifying assumptions. It is crucial to assess and communicate the uncertainties associated with model predictions.

Validation and verification: Models need to be validated and verified against experimental data to ensure their accuracy and reliability. This process requires rigorous testing and comparison to real-world observations, which can be challenging and time-consuming.

Mathematical models are closely linked to the fields of chemistry, biology, and physics, providing valuable insights and predictions in these disciplines. Here are some examples:

Chemistry: Mathematical models are used to study chemical reactions, reaction kinetics, and molecular dynamics. One example is the use of rate equations to model the kinetics of a chemical reaction, such as the reaction between reactants A and B to form product C.

Biology: Mathematical models play a crucial role in understanding biological systems, such as population dynamics, gene regulation, and the spread of infectious diseases. For instance, epidemiological models like the SIR (Susceptible-Infectious-Recovered) model are used to simulate and predict the spread of diseases within a population.

Physics: Mathematical models are fundamental in physics to describe physical phenomena and predict outcomes. One well-known example is Newton's laws of motion, which can be mathematically modeled to predict the motion of objects under the influence of forces.

Quantum mechanics: Mathematical models, such as Schrödinger's equation, are used to describe the behavior of particles at the quantum level, providing insights into atomic and molecular structures and the behavior of subatomic particles.

Fluid dynamics: Mathematical models, such as the Navier-Stokes equations, are employed to study the behavior of fluids, including airflow, water flow, and weather patterns.

These examples demonstrate the wide range of applications for mathematical models in understanding, predicting, and simulating various phenomena in the fields of chemistry, biology, and physics.

For such more questions on Advantages of Mathematical Models

https://brainly.com/question/12653211

#SPJ8

Answer:

$168 or $168.00

Step-by-step explanation:

an = a^1 + (n-1)d = 78 + (2 - 1)90

= $168 or $168.00

Answer:

768

Step-by-step explanation:

because 2 to the 3rd power is 8 then 8 times 8 is 64 times 64 times 12 is 768!

please mark brainliest i rlly need one last one

Answer:

132 cm^2

Step-by-step explanation:

First find the area of the rectangle on top:

4 * 7 = 28 cm^2

Remember: Don't forget units!

Next, find the average of the trapezoid's bases:

(7 + 19) / 2 = 26 / 2 = 13

Then, find the area of the trapezoid using (avg(bases) * height):

13 * 8 = 104 cm^2

Finally, add the two areas:

28 + 104 = 132 cm^2

The probability of a defect is 5.7330 x \(10^{-5}\) and the number of defects is 5.73.

To calculate the probability of a defect, we need to find the area under the standard normal curve that lies outside of the process control limits of 9.75 ounces and 10.25 ounces. We can use the standard normal distribution table to find this area.

First, we need to standardize the weight limits as follows -

\(Z_{lower}\) = (9.75 - 10) / 0.25 = -4

\(Z_{upper}\) = (10.25 - 10) / 0.25 = 4

Next, we will find the area under the standard normal curve that lies outside of these limits as follows -

P(Defect) = P(Z < -4) + P(Z > 4)

Using a standard normal distribution table, we can find that P(Z < -4) = 2.8665 x   \(10^{-5}\)  and P(Z > 4) = 2.8665 x  \(10^{-5}\) .

So, the total probability of a defect is -

P(Defect) = 2.8665 x  \(10^{-5}\)  + 2.8665 x  \(10^{-5}\)  = 5.7330 x  \(10^{-5}\)

Finally, we will find the number of defects for a 1,000-unit production run as follows -

The number of defects = 1000 * 5.7330 x  \(10^{-5}\)  = 5.73 (rounded to the nearest whole number).

Read more about Probability:

brainly.com/question/24756209

#SPJ4

Answer:

g(-4) = 1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.

∴ g(-4) = 1

Answer:

Ninety thousand, four hundred and three.

Answer:

try x^2   X   6

Step-by-step explanation:

Answer:

m = -4/5

Step-by-step explanation:

slope = rise/run. you need to find the distance between one point to the other (left to right). you start at the y-intercept (0,2). the next point is (-2,5). go down four (-4) and to the right five (5).

Answer:

400 gallons are 1100 / 63 of 126 L.

Step-by-step explanation:

Given

1 Gallon = 4.5 L

To determine

What fraction of 400 gallons is 180 L

as

1 Gallon = 4.5 L

so

400 Gallons = 400 × 4.5

                     = 1800 L

In order to determine the fraction of 400 gallons is 180 L, just divide 1800 by 180, so

Fraction = 2200 ÷ 126

              = 1100 ÷ 63

Therefore, 400 gallons are 1100 / 63 of 126 L.

Answer:

152

Step-by-step explanation:

a = 3; b = -8

2b² − 4a + 4a² =

= 2(-8)² - 4(3) + 4(3)²

= 2(64) - 12 + 4(9)

= 128 - 12 + 36

= 116 + 36

= 152

The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

Step 1: Find the mean (average) of the data set.

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

For more such questions on mean absolute deviation

https://brainly.com/question/29545538

#SPJ8

Answer:

$0.75

Step-by-step explanation:

Step 1:

5 ibs for $3.75    Given

Step 2:

$3.75 ÷ 5     Divide

Answer:

$0.75

Hope This Helps :)

The Surface area of Triangular Prism is 132 cm².

We have have the dimension of prism as

Sides = 3 cm, 4 cm, 5 cm

and, l = 10 cm

and, b= 4 cm

Now, Surface area of Triangular Prism as

= (sum of sides) l + bh

= (3 + 4 + 5)10 + 4 x 3

= 12 x 10 + 12

= 120 + 12

= 132 cm²

Thus, the Surface area of Triangular Prism is 132 cm².

Learn more about Surface Area here:

https://brainly.com/question/29298005

#SPJ1

On solving the provided question we can say that the equation when factorization we have is (4x³ - 6x³ + 6x - 7)/(-2x + 3) on diving we will have, the quotient will be (-2x² + 6x -7)/(-2x + 3).

A number or other mathematical object is factored, or written as the product of numerous factors—typically smaller or simpler things of the same kind—in mathematics. For instance, the integer 15 is factorized as 3 5, which is the factorization of the polynomial x² – 4. Factorization in mathematics refers to the breakdown of a number into smaller numbers that are multiplied together to produce the original number. Factorization is the division of a number into its factors or factors. 12 is multiplied by 3 and 4 as an example.

the equation we have is

(4x³ - 6x³ + 6x - 7)/(-2x + 3)

on diving we will have

(-2x² + 6x -7)/(-2x + 3)

To know more about factorisation visit:

https://brainly.com/question/13496719

#SPJ1

Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water