Connectedness can be either good or bad for a graph true or false

Answer:

a) \( \mu -\sigma = 8500 -1500 = 7000\)

\( \mu +\sigma = 8500 +1500 =10000\)

\( \mu -2*\sigma = 8500 -2*1500 = 5500\)

\( \mu +2*\sigma = 8500 +2*1500 =11500\)

\( \mu -3*\sigma = 8500 -3*1500 = 4000\)

\( \mu +3*\sigma = 8500 +3*1500 =13000\)

On the figure attached we have the illustration for required showing the percentages and the limits for each case

b) \( z= \frac{6000-8500}{1500}= -1.67\)

And using the normal standard table or excel we got:

\( P(Z<-1.67) = 0.047\)

Step-by-step explanation:

For this case we have the following properties:

\( \mu = 8500, \sigma = 1500\)

Part a

And for this case from the empirical rule we know that within one deviation from the mean we have 68% of the values , within two deviation 95% and within 3 deviations 99.7%. So then we can find the limits like this:

\( \mu -\sigma = 8500 -1500 = 7000\)

\( \mu +\sigma = 8500 +1500 =10000\)

\( \mu -2*\sigma = 8500 -2*1500 = 5500\)

\( \mu +2*\sigma = 8500 +2*1500 =11500\)

\( \mu -3*\sigma = 8500 -3*1500 = 4000\)

\( \mu +3*\sigma = 8500 +3*1500 =13000\)

On the figure attached we have the illustration for required showing the percentages and the limits for each case

Part b

For this case we want to find this probability:

\( P(X<6000)\)

We can calculate the number of deviation below the mean with the z score formula given by:

\( z = \frac{X -\mu}{\sigma}\)

And replacing we got:

\( z= \frac{6000-8500}{1500}= -1.67\)

And using the normal standard table or excel we got:

\( P(Z<-1.67) = 0.047\)

The fraction 5 2/3 - 3 3/4 is not equal to 1+ 2/3 + 3/4.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, 5 2/3 - 3 3/4 will be:

= 5 2/3 - 3 3/4

= 5 8/12 - 3 9/12

= 1 11/12

Therefore 1 + 2/3 + 3/4

= 1 + 2/3 + 3/4

= 1 + 8/12 + 9/12

= 2 5/12

They are not the same.

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a)The standard deviation of the given data is 3.3586

b) the probability that 8 or fewer chips in a sample of 200 are defective is 0.1470

c) the percentage of defective chips is 0.0641

What is standard deviation?

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a little variation, and when they are far spaced from the mean, there is a large variation. The standard deviation determines how much the data deviate from the mean. The most popular way to assess dispersion is standard deviation, which is based on all data. Therefore, even a small change in one number can modify the standard deviation's value.

Given :

p = 0.06, n = 200

Let X be number of defective chips in the sample follows Binomial distribution.

X ~ Binomial (n=200, p=0.06)

a) The mean and standard deviation of Binomial distribution is given by

Mean = np = 200*0.06 = 12

Standard deviation =√np(1-p) = √200*0.06(1-0.06) = 3.3586

b)

Binomial distribution is given by

P(X = x) = (*)()*( 1- (p)(1-p)-2

where

n = n! (n- x)! xx!

now

p(X≤ 8 =p(X=0)+p(x=1)+ -------+p(x= 8 )

= Σ(2400.06 (0.06)(1 – 0.06200-2

= 0.1470

Therefore the required probability is 0.1470...( try 0.1492 if getting wrong)

c) p(X = 8) = 200 (0.06)*(1 – 0.06)200-8

= 0.0641

No, company can not conclude that the new components have reduced the rate of defective chips produced, because the probability is greater than 0.05.

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Answer:

2/3x + 7 = 10

Step-by-step explanation:

Due to your wording, I believe this is what you might be looking for when you ask "2/3 a number x."

An integer which can be used to represent a diver's elevation if the diver is 40 feet below sea level is -40.

In Mathematics, an integer can be defined as a whole number that may either be positive, negative, or zero (0). This ultimately implies that, a positive integer simply refers to a whole number that is greater than or equal to one (1).

On the other hand (conversely), a negative integer simply refers to a whole number that is less than zero (0), but do not include decimals or fractions.

In this context, we can reasonably infer and logically deduce that an integer which can be used for representing a diver's elevation when he or she is 40 feet below sea level would be the negative integer -40.

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According to the problem, we have the following transformations:

• A translation of 1 unit left.

• A translation of 6 units down.

Remember that a translation to the left means we have to subtract from the x-value, and a translation down means we have to subtract from the y-value. Let's apply the transformations to each vertex.

Once we have the new vertices, we proceed to plot them and draw the translated figure.

Answer:

Parallel segments → 1

perpendicular segments → 2

congruent segments → 3

\(---------\)

hope it helps...

have a great day!!

The answer is 80.

Please mark brainliest

It transform rectangle in  8 units left and then 7 units down then  x-axis and subsequently the y-axis were reflected and after this translated 7 units down

A set of translations, rotations, reflections, and dilations on a figure constitute a series of transformations in geometry. A composition of transformations is what results when two or more transformations are joined to create a new transformation. In a composition, one transformation creates a picture that serves as the foundation for the subsequent other transformation.

The possible transformations that rectangle ABCD could have undergone to become rectangle A′′B′′C′′D′′ are as follows: -

It was translated 8 units left, then 7 units down, for rectangle ABCD.

- First, the x-axis and subsequently the y-axis were reflected by the rectangle ABCD.

- Rectangle ABCD was translated 7 units down after being rotated 180 degrees around its origin.

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Answer:

Y=25

Step-by-step explanation:

I came up with

Y= -5x + 125

Y= 5/5 + 125/5

Y= 5/5 (cancels out) 125/5

Y=25

Answer:

There are 0

Step-by-step explanation:

Absolute value is the positive distance a number is away from 0, so no value of x will make the equation true

Answer:

A 0

Step-by-step explanation:

There are no solutions. Because the absolute value always returns a positive value, there are no solutions to this equation.

If x is negative, the answer will be positive. If x is positive the answer will still be positive. No value of x will give a value of -4. So there is no solution.

Answer:

The student's GPA = 3.24

Step-by-step explanation:

To determine the student's GPA for the term,

First, we will determine the weighted grade points and then divide the result by the total credit.

The weighted grade point is the sum of the grade points in the courses.

Grade point for a course is calculated by multiplying the grade by the course credit.

For the Math course,

Grade point = 3.6 × 5 = 18.0

For the Music course,

Grade point = 2.5 × 2 = 5.0

For the Chemistry course,

Grade point = 3.0 × 5 = 15.0

For the Journalism course,

Grade point = 3.4 × 5 = 17.0

Hence,

The weighted grade point = 18.0 + 5.0 + 15.0 + 17.0

The weighted grade point = 55.0

Total credit = 5 + 2 + 5 + 5 = 17

∴ The student's GPA = 55.0 / 17 = 3.24

Hence, The student's GPA = 3.24

Answer:

Step-by-step explanation:

5 times the first equation minus the second one:

Find a:

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

Answer:

33, 15%

Step-by-step explanation:

44/x = 100/75

Cross multiply

3300 = 100x

33 = x

12/80 = x/100

1200=80x

15 = x

Answer:

1. 55.5

2. 54.5

Step-by-step explanation:

Use division to convert the fraction to a decimal:

1/4 = 1 ÷ 4 = 0.25

Multiply by 100 to get percent value:

0.25 × 100 = 25%

Answer:

1. 0.56

percentage: 56%

2. 0.55

percentage: 55%

Step-by-step explanation:

5/9 to decimal= 0.56

to percentage multiply by 100

same for the second one

Answer:

i don’t know do it yourself

Step-by-step explanation:

Answer:

Sales tax: $31.51

■ Cost/Price before ST: $450.12

■ Total Cost/Price including ST: $481.63

Step-by-step explanation:

it is what it is.

The 99% control limits for the complaints received by Red Top Cab Company are approximately -0.65 and 14.40.

To compute the 99% control limits for the complaints received by Red Top Cab Company over a 9-day period, we can use statistical process control (SPC) techniques. The control limits help identify if the number of complaints falls within normal variation or if there are any unusual patterns.

First, we need to calculate the average number of complaints per day:

Average = (3 + 0 + 8 + 9 + 6 + 7 + 4 + 9) / 8 = 6.875

Next, we calculate the standard deviation of the complaints:

Step 1: Find the difference between each data point and the average, square the differences, and sum them up:

(3 - 6.875)^2 + (0 - 6.875)^2 + (8 - 6.875)^2 + (9 - 6.875)^2 + (6 - 6.875)^2 + (7 - 6.875)^2 + (4 - 6.875)^2 + (9 - 6.875)^2 = 41.03125

Step 2: Divide the sum by the number of data points minus 1 (8 - 1 = 7):

41.03125 / 7 = 5.861607143

Step 3: Take the square root of the result to get the standard deviation:

√5.861607143 ≈ 2.419

Finally, we can calculate the upper and lower control limits:

Upper Control Limit = Average + (3.09 * Standard Deviation) = 6.875 + (3.09 * 2.419) ≈ 14.40

Lower Control Limit = Average - (3.09 * Standard Deviation) = 6.875 - (3.09 * 2.419) ≈ -0.65

Therefore, the 99% control limits for the number of complaints received by Red Top Cab Company over a 9-day period are approximately -0.65 and 14.40.

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Answer:

13

Step-by-step explanation:

x=true/false questions y = multiple choice

3x+5x=86

x+y=20

x=7, y=13

13 multiple choice questions

\( \tt \dfrac{1}{10} \times 315\)

31.5 <---- Ans

Answer:

31.5

Step-by-step explanation

If you divide something by 10 you move the decimal over one place to the left.

315.0 / 10 = 31.5

Answer:

\( \boxed{ \tt{d = \sqrt{D^{2} -\frac{4A}{\pi}} }}\)

Step-by-step explanation:

\(if \: A=\frac{\pi *D^{2} }{4} - \frac{\pi *d^{2} }{4} \\ then \to \\ A = \frac{\pi}{4} (D^{2} - {d}^{2} ) \\ (D^{2} - {d}^{2} ) \pi = 4A \\ D^{2} - {d}^{2} = \frac{4A}{\pi} \\ {d}^{2} = D^{2} -\frac{4A}{\pi} \\ d = \sqrt{D^{2} -\frac{4A}{\pi}} \)

Answer:

\(\boxed{\text{\Large \sqrt{-1.27324A+D^2}$}}\)

Step-by-step explanation:

\(\displaystyle A=\frac{\pi \times D^2}{4} - \frac{\pi \times d^2}{4}\)

\(\displaystyle A=0.785398D^2 - 0.785398d^2\)

Solve for d

\(\displaystyle A-0.785398D^2= - 0.785398d^2\)

\(\displaystyle \frac{A-0.785398D^2}{- 0.785398} = d^2\)

\(-1.27324A+D^2=d^2\)

\(\displaystyle \sqrt{-1.27324A+D^2} =d\)

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

undefined

Step-by-step explanation:

division by zero is undefined

Division Property of zero

For any nonzero real number a

The quotient of "a" and 0 is undefined. That is a/0 is undefined

When a circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base, a pair of intersecting lines is formed.

How to know what is formed from a line intersecting a cone?

The right circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base.

This means the intersecting line forms a right angle with the base of the right circular cone.

Therefore, from this interaction is a pair of intersecting lines.

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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.

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