complete the invoice below. Clothing items with a unit price less than $50 are exempt from sales tax in the buyers state clothing items with the unit price of $50 or more are taxed at a rate of 6%. What is the total amount due on this invoice?

a. $1,998.54
b. $1,979.92
c. $2,098.51
d. $2,056.52

a) The probability of having two flaws in one square meter of cloth is 0.0044. b) The probability of having one flaw in 10 square meters of cloth is 0.0360. c) The probability of having no flaws in 20 square meters of cloth is 0.1653. d) The probability of having at least two flaws in 10 square meters of cloth is 0.0337.

a) The Poisson distribution is used to model the number of flaws in bolts of cloth. The mean is given as 0.08 flaws per square meter. Using the formula for the Poisson distribution, we can calculate the probability of having two flaws in one square meter of cloth. The formula is P(X = k) = (e^(-λ) * λ^k) / k!, where λ is the mean and k is the number of flaws. Plugging in the values, we get \(P(X = 2) = (e^(-0.08) * 0.08^2) / 2! ≈ 0.0044.\)

b) To find the probability of having one flaw in 10 square meters of cloth, we need to consider the rate per square meter. Since the mean is given as 0.08 flaws per square meter, the mean for 10 square meters would be 0.08 * 10 = 0.8. Using the same Poisson formula, we calculate P(X = 1) = \((e^(-0.8) * 0.8^1) / 1! ≈ 0.0360.\)

c) For the probability of having no flaws in 20 square meters of cloth, we can again use the Poisson formula with the mean adjusted for the area. The mean for 20 square meters is 0.08 * 20 = 1.6. Plugging the values into the formula, we get \(P(X = 0) = (e^(-1.6) * 1.6^0) / 0! ≈ 0.1653.\)

d) To find the probability of having at least two flaws in 10 square meters of cloth, we can calculate the complement of the probability of having zero or one flaw. Using the same mean of 0.8, we can calculate P(X ≤ 1) and subtract it from 1 to get the desired probability. P(X ≤ 1) = P(X = 0) + P(X = 1) ≈ 0.2018. Therefore, P(X ≥ 2) ≈ 1 - 0.2018 = 0.7982.

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The eye color of respondents in a survey is qualitative data at the nominal level of measurement.

The eye color of respondents in a survey can be categorized as qualitative data because it represents a characteristic or attribute rather than a numerical quantity. Qualitative data is descriptive and categorical.

In terms of the level of measurement, the eye color variable can be classified as nominal level data. Nominal data is the lowest level of measurement and simply categorizes observations into different groups without any inherent order or magnitude. In this case, eye colors such as blue, brown, green, hazel, etc. are non-numeric categories without any implied ranking or quantitative relationship.

Nominal data is characterized by the fact that you cannot perform mathematical operations on the categories, and there is no meaningful measure of central tendency or dispersion. Eye color falls into this category since you cannot meaningfully calculate averages or quantify differences between eye colors using mathematical operations.

To summarize, the eye color of respondents in a survey is qualitative data at the nominal level of measurement.

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Answer:

14 times more

Step-by-step explanation:

84/6=14

Answer:

35 miles per gallon.

Step-by-step explanation:

We need to simplify 175/5 into 35/1 to make it into a unit rate. So, 35 miles per gallon is the answer.

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Use the Pythagorean Theorem to determine if these sides are sides of a right triangle.

\(a^{2}+b^{2}=c^{2}\)

Plug in your length sides. Have the longest side represent your c variable.

a= 24

b= 45

c= 49

Solve for the equation.

\(24^{2}+45^{2}=49^{2}\)

576+2025= 2401

2601=2401

These side lengths in a triangle are not a right triangle because 2601 does not equal 2401.

Answer:

\( \frac{1 \\ }{3125} \)

Answer:

x = 9

Step-by-step explanation:

        \(\sf \dfrac{a^m}{a^n}=a^{m-n}\\\\\\ \dfrac{1}{a^m}=a^{-m}\)

\(\sf \dfrac{5^x}{5^{14}}=\dfrac{1}{5^5}\\\\5^{x -14} = 5^{-5}\)

Base are same. Compare the exponents.

 x - 14 = -5

        x = -5 + 14    {Addition property of equality}

        x = 9

The percentages from the different samples will have a true population percentage mean.

A real population proportion shows the percentage of a population that exhibits a particular trait.

A population's proportions will have a real population proportion mean if numerous big random samples or repeats of the same size are taken.

Here is an illustration of how to cross multiply, or find a cross product. In this instance, you multiply 3 x 10 to get 30 and then 5 x 6 to get 30. The proportion is accurate because the two products are equal.

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The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

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The statement that provides the best guidance for model building is option (b) which suggests that if the value of the adjusted r2 increases as more variables are added to the model, the variables should always remain in the model.

When building a model, it is important to select variables that have a significant impact on the response variable and remove variables that do not. The r2 value measures how well the model fits the data, while the adjusted r2 value adjusts for the number of variables in the model. Option (a) suggests that variables should always remain in the model if the r2 value increases, which is not accurate guidance since adding variables can lead to overfitting and decreased model accuracy. Option (c) suggests that variables should never remain in the model if the r2 value increases, which is also not accurate since removing variables can lead to underfitting and decreased model accuracy. Option (d) also suggests that variables should never remain in the model if the adjusted r2 value increases, which is not accurate since adding variables can improve the model fit. Therefore, the best guidance for model building is option (b) which suggests that if the value of the adjusted r2 increases as more variables are added to the model, the variables should always remain in the model.

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Answer:

5x  

2

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

Area of red square = 64

Area of circle = π((4√2)^2) = 32π

P = 64/(32π) = 2/π = about .64

= about 63.66%

when the cake is cut into \(2\) ounce pieces instead of \(3\) pieces it yields \(180\) pieces.

How to find large cake pieces ?

Given in the question when cake cuts into piece that each weight is \(3\) ounce it yields \(120\)

So original large cake weight is

\(w=120*3\\\\w=360\)

So we can find cake pieces when cake cuts into weight \(2\) each piece

\(pieces=\frac{360}{2}\\=180\)

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Answer:

y = -1/2 x + 1

Step-by-step explanation:

You can find the gradient by finding the rise/run. It is -1/2 as seen in the equation, and then then slope needs to be moved upwards by one to meet the correct y coordinates. Remember y = mx + c.

Answer:

Step-by-step explanation:

Part A
First find the measure of angle C which is 52° due to it being next to angle D

Next add 52 to angle B to get 142

Subtract 142 from 180 to get 38°

Angle A is 38°

Part B

The fourth option is correct

Answer:

360 m3

Step-by-step explanation: just multiply 18m times 5m times 4 m then you get your answer :)

hope this helps :D

Answer:

360 m3

Step-by-step explanation:

Make the other guy brainlist cuz he helped me. :p

Answer:

m<DXF=52°

m<DXF=52°m<DYG=94°

m<DXF=52°m<DYG=94m<DG=20°

Step-by-step explanation:

hope it helps...

have a great day!!

The graph that best represents an increasing function is the graph that shows a straight line that joins the ordered pairs 0, 4, and 4, 4.

What is graph ?

A graph is a visual representation of data or a mathematical function, usually drawn on a coordinate plane. Graphs are used to display and communicate information in a clear and concise manner. The two main types of graphs are quantitative graphs, which display numerical data, and qualitative graphs, which display non-numerical data.

Given by the question:
The graph that best represents an increasing function is the graph that shows a straight line that joins the ordered pairs 0, 4, and 4, 4.

An increasing function is a function where as the input variable increases, the output variable also increases. In other words, the function "goes up" as you move from left to right. A straight line that has a positive slope represents an increasing function. The slope of this line is zero, which means that the line is horizontal, but it is still an increasing function because the output variable (y-value) remains constant as the input variable (x-value) increases.

The other graphs do not represent an increasing function because they either have a decreasing section or a vertical line, which does not represent a function since a vertical line violates the vertical line test.

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The chi-square test statistic for goodness-of-fit test 42.200 greater than chi-square critical value 11.071, so the null hypothesis is rejected at 5% level of significance

To evaluate, with a 5% level of significance, the hypothesis that the factors influencing car choice are not all equally likely.

The alternative and null hypothesis are,

The equal likelihood of the many factors is the null hypothesis.

The alternative theory is that not all of the factors that go into picking a car are equally likely.

For the goodness-of-fit test, the chi-square test statistic is,

First, find frequency expected then compute chi-square test statistics.

The average for the observed frequencies computation is the frequencies expected. The

total for the expected frequencies must equal for the total observed frequencies

The expected frequencies for category 1 are,

The chi-square critical value is,

We need to find degrees of freedom for finding chi-square critical values.

degrees of freedom = k -1

=6-1

Display degrees of freedom 5 and significance level 0.05 from the critical value table.,

so the chi-square critical value is 11.071.

The chi-square critical value is 11.071

The conclusion is that chi-square test statistic for goodness-of-fit test 42.200 greater than chi-square critical value 11.071, so the null hypothesis is rejected at 5% level of significance. There is sufficient evidence to indicate that the reasons for choosing a carare not equally likely. The result is statistically significant.

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Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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Answer:

67

Step-by-step explanais the bigges number taht u could find

The following is most likely a parameter as opposed to a statistic is registered voters in a county.

A parameter in statistics is any measurable number of a statistical population that summarises or describes some aspect of the population, as opposed to its typical application in mathematics, such as a mean or a standard deviation. A limited collection of factors that perfectly characterise a population and may be used to create a probability distribution for the purposes of taking samples from that population can be assessed if it exactly follows a known and defined distribution, such as the normal distribution.

The family is a parameterized family if the index is also a parameter of its members. The normal distributions, Poisson distributions, binomial distributions, and exponential family of distributions are examples of parameterized families of distributions.

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Answer:

160 girls

Step-by-step explanation:

2/5 = girls

3/5 = boys

3/5 = 240

to find 1

240/3

80

2/5 = 160

The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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Answer:

the answer is A

Step-by-step explanation:

If you simplify 6/18 you get 1/3

Its the same with 3/9 because if you simplify that you also get 1/3

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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The height of the candle after 17 hours of burning can be estimated using linear interpolation based on the given data points.

We have two data points: after 6 hours, the height of the candle is 22.4 centimeters, and after 24 hours, the height is 20.6 centimeters. We can use linear interpolation to estimate the height after 17 hours.

First, we calculate the rate of change in height per hour: (20.6 - 22.4) / (24 - 6) = -0.09 cm/hour.

Next, we find the change in height from the 6-hour mark to the 17-hour mark: -0.09 * (17 - 6) = -0.99 cm.

Finally, we subtract the change from the height at 6 hours: 22.4 - 0.99 = 21.41 cm.

Therefore, the estimated height of the candle after 17 hours of burning is approximately 21.41 centimeters.

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