A survey showed that 8 out of 20 homeowners in a neighborhood had cable television. if there were 320 homeowners in the neighborhood, how many could be expected to have cable television?

A) True.

Verification is the process of determining whether a computational model accurately represents the real-world system it is intended to simulate.

Verification is an important step in the process of developing and evaluating computational models. The goal of verification is to determine whether a model is accurately representing the real-world system it is intended to simulate. This is important because if a model is not accurate, it can lead to incorrect predictions and decisions.

Verification involves comparing the output of a computational model with experimental data collected from the real system. This comparison can take many forms, depending on the type of model and the nature of the experimental data. In some cases, the comparison may involve a direct quantitative comparison between the model output and the experimental data. In other cases, the comparison may be more qualitative, involving an assessment of whether the model output captures the key features of the experimental data.

The process of verification can be iterative, involving multiple rounds of model refinement and comparison with experimental data. This is particularly important for complex systems, where small errors or uncertainties in the model can have significant impacts on the accuracy of the predictions.

Overall, verification is an important step in the process of model development and evaluation, helping to ensure that computational models are accurate and reliable tools for predicting real-world behavior.

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Therefore , the solution of the given problem of percentage  comes out to be approximately 95% of the forecasts will be accurate to within 16 points.

A statistic or statistic that is stated as a percent of 100 is referred to as "a%" in statistics. The abbreviations "pct," "pct," as well as "pc" are also uncommon. However, it is commonly denoted by the letter "%". There are no metrics; the proportion to the total sum is flat. Because the numerator of percentages almost always matches 100, they are actually numbers. Both the word fraction or the percent sign (%) must come before a number to indicate that it indicates a percentage.

Here,

A. By the empirical formula, 68% of predictions will be for one standard deviation of the mean error if the prediction errors have a normal distribution.

Since the standard deviation of the errors is measured by the root mean square error (r.m.s. error), we can estimate that approximately 68% of the forecasts will be accurate to within 8 points.

Likewise, according to the empirical norm, roughly 95% of predictions will be within two standard deviations of the mean error.

Consequently, approximately 95% of the forecasts will be accurate to within:

=> 2 * 8 = 16 points.

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This statement is true

A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.

The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.

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Answer:

Molar Mass Molar mass is defined as the mass of one mole of representative particles of a substance. By looking at a periodic table, we can conclude that the molar mass of lithium is 6.94g, the molar mass of zinc is 65.38g, and the molar mass of gold is 196.97g. Each of these quantities contains 6.02 × 1023 atoms of that particular element.

Step-by-step explanation:

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Answer:

\(\frac{4x(x+1)}{2(x^2-1)}\)

\(\frac{4x(x+1)}{2(x-1)(x+1)}\)

\(\frac{2x}{(x-1)}\)

Step-by-step explanation:

The standard deviation of the sampling distribution is the population standard deviation divided by the square root of the sample size.

When we take a random sample of 4 babies born and calculate their birth weights, the standard deviation of this sample mean birth weight can be determined. To calculate it, we divide the population standard deviation (a measure of the variability of birth weights in the population) by the square root of the sample size (in this case, 4). This result gives us the standard deviation of the sampling distribution of the sample mean birth weight.

The sampling distribution represents the distribution of sample means that would be obtained from different random samples of the same size from the population. It provides valuable information about the variability of sample means and allows us to make inferences about the population mean. The standard deviation of the sampling distribution is crucial in determining the precision and accuracy of our sample mean estimates.

As the sample size increases, the standard deviation of the sampling distribution decreases, indicating that larger samples yield more precise estimates of the population mean. Conversely, smaller sample sizes lead to larger standard deviations, suggesting less precision. Understanding the standard deviation of the sampling distribution helps us assess the reliability of our sample mean estimates and make informed statistical inferences.

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Answer:

0.25

Step-by-step explanation:

The fraction is 18/72. The decimal is different. If you divide 72 by 18, you get 4. That tells you how it is in a quarter, aka four pieces. Divide 100 by 4, you get 25. That’s why the  answer is 0.25

The number of people who prefer eggs is 35.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent. A ratio might be formatted as a Part to Part or Part to Whole comparison. A Part to Part comparison looks at two individual quantities within a ratio of greater than two numbers, such as the number of dogs to the number of cats in a poll of pet type in an animal clinic. A Part to Whole comparison measures the number of one quantity against the total, such as the number of dogs to the total number of pets in the clinic.

Let the number of people who prefer eggs be x.

21 people said they prefer oatmeal.

The ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5.

∴ \(\frac{21}{x} = \frac{3}{5} \\x = \frac{21*5}{3}\\ x = \frac{105}{3} \\x = 35\)

Thus, the number of people who prefer eggs is 35.

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Answer:

6x - 10

Step-by-step explanation:

2x + 4x = 6x

6 + 4 = 10

6x - 10

The approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6

To find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches, we will first calculate the surface area (SA) and volume (V) of the ball, and then divide the surface area by the volume.

Step 1: Calculate the surface area (SA) using the formula for the surface area of a sphere:

\(SA = 4 πr^2\)
\(SA = 4 π5^2\)
\(SA = 4 π(25)\)
\(SA=100π\)

Step 2: Calculate the volume (V) using the formula for the volume of a sphere:

\(V = \frac{4}{3} π (r)^{3}\)
\(V = \frac{4}{3} π (5)^{3}\)
\(V = \frac{4}{3} π (125)\)
V = 166.67 π cubic inches

Step 3: Calculate the surface-area-to-volume ratio (SA/V)
\(\frac{SA}{V} = \frac{100}{166.67}\)
\(\frac{SA}{V}=\frac{100}{166.67}\)

\(\frac{SA}{V}= 0.6\)

So the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6. The best answer from the choices provided is A.

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The mean and standard deviation for the number of defective bolts in a total of 400 bolts is 40 and 6.32 (approx), respectively.

The mean and standard deviation for the number of defective bolts in a total of 400 bolts if the probability of defective bolt is 0.1 can be calculated using Poisson distribution.

Poisson distribution is used to predict the number of events that occur over a specified interval of time when the probability of an event occurring is known.

The formula for calculating the mean (μ) and standard deviation (σ) is given as follows:
μ = λσ = √λ
Where λ = np, where n is the number of trials and p is the probability of success.

Here, the probability of a defective bolt is 0.1. So the probability of a non-defective bolt is 0.9. The total number of bolts is 400, so the expected number of defective bolts can be calculated as follows:
μ = λ = np = 400 x 0.1 = 40

The mean number of defective bolts is 40. The standard deviation can be calculated as follows:
σ = √λ = √40 = 6.32 (approx)

The standard deviation is 6.32 (approx).

Therefore, the mean and standard deviation is 40 and 6.32 (approx), respectively.

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Answer:

2.612 m

Step-by-step explanation:

circumference = (3.14)(0.5)(2) = 3.14 m

subtend mean to opposite part of 60°, so we're looking for a 360-60 = 300° segment.

so 5/6(3.14) = 2.612 m

The population is c) all Americans. The attribute of interest is b) agreeing with the president. The proportion 0.80 (80%) is a sample proportion.

In this scenario, a survey was conducted on 4000 Americans to gauge their agreement with the president on a specific issue. To identify the population, we need to determine who the survey results are intended to represent.

a. If the intention was to capture the opinions of all American voters, then the population would be all American voters.

b. However, since the survey was conducted on only 4000 Americans, the sample would be the 4000 individuals who were interviewed.

c. If the intention was to generalize the results to the entire American population, then the population would be all Americans.

d. In this case, the population would be specifically the 3200 Americans who agreed with the president.

The attribute of interest in this survey is the agreement with the president on the given issue. The proportion of 0.80 (80%) represents the sample proportion because it pertains to the proportion of the 4000 Americans who were interviewed and agreed with the president. It does not represent the entire population proportion.

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Answer:

The distance between C and D is 6 units

Answer:

6

Step-by-step explanation:

Since this is a straight line, you literally count the boxes in between or you could just add up the x values but make the -2 positive because we’re counting distance, not something else.

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-7 \end{cases}\implies y=a(x-3)^2-7\qquad \textit{we also know that} \begin{cases} x=1\\ y=-10 \end{cases} \\\\\\ -10=a(1-3)^2-7\implies -3=a(-2)^2\implies -3=4a\implies -\cfrac{3}{4}=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-\cfrac{3}{4}(x-3)^2-7~\hfill\)

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

The probability (>6)?" is 0.

The probability of an event occurring is the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event is rolling a number greater than 6 on a standard six-sided die.

Since there are no numbers greater than 6 on a six-sided die, the number of favorable outcomes is 0. The total number of possible outcomes is 6 (the numbers 1 through 6 on the die).

Therefore, the probability of rolling a number greater than 6 is 0/6, or 0. In other words,

it is impossible to roll a number greater than 6 on a standard six-sided die. So, the answer to the question "what is the probability (>6)?" is 0.

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Answer:

D. -23 3/8

Step-by-step explanation:

When doing the math correctly you should get -23.375 or -23 3/8

Answer: m < 2 = 35 , m < 3 = 55

Solution: given figure AB and CD are PARALLEL to each other and BC is the transversal line.

m<4=m<2

since m < 4 = 35

Given figure it is clear that m < 1 = 90

Now*>ABC formed a triangle

M<1+m<2+m<3=180 degrees

Or 90 + 35 + m < 3 = 180 degrees

M < 3 + 125 = 180

M < 3 = 180 - 125

M < 3 = 55

EQUALS TO m < 2 = 35 degrees, m < 3 = 55 degrees

Precalculus is an example here, since x=−2 is a vertical type line, there is no  y-intercept as well as the slope is undefined.

The slope is undefined and all of the factors on the road have an x-coordinate of that (a few number). For example, if x = -2, then all factors alongside this line can have an x-coordinate of -2, making it a vertical line. y=−2 is a flat line crossing the factor at (0,−2) consequently the gradient is 0 and the the y intercept is -2.

A terrible slope approach that variables are negatively related; that is, whilst x increases, y decreases, and whilst x decreases, y increases. Graphically, a terrible slope approach that as the road on the road graph movements from left to right, the road falls. The x-coordinate -2 is represented throughout. This is NOT a function.

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The image point for the given rule and preimage is (6 - 8)

When we apply a rule T<a, b> to a preimage point (x, y) we get the image (x + a, y + b), so this is like a translation.

So if we apply the rule T<4, -1> to the preimage point (2, -7), the image will be:

(2 + 4, - 7 + (-1)) = (6 - 8)

Concluding, the image point is (6 - 8)

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The coordinates of the resulting point, P' as required to be determined in the task content is; (1, -6).

It follows from the task content that the coordinates of the image point P' formed when point P(-1, 6) is rotated 180° counterclockwise around the origin is to be determined.

On this note, since a rotation of 180° is such that we have;

(x , y) ======> (-x, -y).

Hence, when point P(-1, 6) is rotated 180° counterclockwise around the origin, the resulting image point, P' has coordinates; (1, -6).

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Answer:

0.5

Step-by-step explanation:

just plug in the number in the x place.

The critical values are χ2l=8.230 and χ2r=27.587.

To find the critical values χ2l and χ2r that correspond to a 90 degree of confidence and a sample size of n=19, we need to use a chi-squared distribution table. First, we need to find the degrees of freedom (df) which is equal to n-1, or 19-1=18.

Next, we need to find the area under the curve to the right of χ2α/2 and the left of χ21-α/2. Since our confidence level is 90%, we have α=0.10 and α/2=0.05.

Using the chi-squared distribution table with df=18, we can find that the area to the right of χ2α/2=27.587 is 0.05. Similarly, the area to the left of χ21-α/2=8.230 is also 0.05.

Therefore, our critical values are χ2l=8.230 and χ2r=27.587. This means that if our calculated chi-squared value falls outside of this range, we can reject the null hypothesis with 90% confidence.

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(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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C) 6p³ – 23p² + 9p + 28 is the product obtained when Iliana multiplied

3p – 7 and 2p² – 3p – 4.

A mathematical equation is a statement of equality between two expressions that can contain numbers, variables, and mathematical operators. Equations are often used to describe relationships between different quantities, and can be used to solve problems and make predictions. They can also be represented graphically. Equations can be simple or complex, with one or multiple variables. They are used in various fields like physics, chemistry, engineering, economics etc.

In order to find the result we multiply both mathematical equation together

(3p – 7)*(2p² – 3p – 4).

=> 6p³ - 9 p²  - 12p - 14p² + 21p +28

=> 6p³ - 23 p² + 9p + 28

so the product of both mathematical equation is 6p³ - 23 p² + 9p + 28

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Complete question:

Iliana multiplied 3p – 7 and 2p² – 3p – 4. Her work is shown in the table.

Which is the product?

A) 6p³ + 23p² + 9p + 28

B) 6p³ – 23p² – 9p + 28

C) 6p³ – 23p² + 9p + 28

D) 6p³ + 23p² – 9p + 28p-

Answer:

5

Step-by-step explanation:

I think ;- ; sorry

Answer:

0.0032

Step-by-step explanation:

start with [4(30-5)]/10/2

simplify to get:

[4(25)]/10/2

simplify to get:

0.16/10/2

simplify to get:

0.016/5

simplify to get your answer:

0.0032

Answer: 2¹⁰ bacteria

Step-by-step explanation:

There were originally 2⁴ bacteria in the dish.

After 150 minutes this number doubled 6 times which means it increased by 2⁶.

The number of bacteria will become:

= 2⁴ * 2⁶

= 2⁴⁺⁶

= 2¹⁰ bacteria

The two lines which must be parallel if m<1 + m<2 = 180° is c || d.

The correct answer choice is option D.

A parallel line is a line which is equally distant from one another at all points. It can also be said as a line having the same overall direction, not intersecting or coinciding.

If m<1 + m<2 = 180°

Then line c and line d are parallel to each other.

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