The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 7. If there were 6489 no votes, what was the total number of votes?

The probability that more than 175 cable homes will assess cable firms as providing outstanding or exceptional transmission quality is roughly 0.0287.

The word "probability" comes directly from the Latin word "probabilitas," which means "credibility, likelihood," in Old French probability (14th century) (see probable). The word first appeared in mathematics around 1718.

Let X be the proportion of the 300 randomly chosen cable homes that are satisfied or excellent with their provider's transmission quality.

Let p be the probability that a cable household will rate cable firms as providing good or exceptional quality transmission, which in this instance is 53% or 0.53.

Let q represent the likelihood that a cable household does not consider cable companies to be providing good or exceptional quality transmission, which in this instance is 47% or 0.47.

Let 300 * 0.53 = 159, or the mean of the binomial distribution, be denoted by = n * p.

The binomial distribution's standard deviation, = sqrt(n * p * q), is sqrt(300 * 0.53 * 0.47) = 8.38. (rounded to two decimal places).

The binomial distribution can be approximated by the normal distribution:

P(X > 175) = P(Z > (175 - μ) / σ)

where Z is a standard normal variable.

P(Z > (175 - 159) / 8.38) = P(Z > 1.91)

Using a standard normal table or calculator, we can find that P(Z > 1.91) is approximately 0.0287.

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The value of LM in parallelogram LMNQ in this question is 13.

A parallelogram is a four-sided shape that is a part of the quadrilateral spectrum. As the name suggests, two pairs of the sides of a parallelogram are parallel to each other. In simpler words, the opposite sides of a parallelogram are equal and parallel.

As shown in the image attached, in parallelogram LMNQ, the sides LM and NQ are parallel. This means that these sides are equal as well. We have been told that the value of NQ is 13. This means that the value of LM is 13 as well.

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To apply the Mean Value Theorem to the function f(x) = 23 - 3x + 2 on the interval (-2, 2), we need to check if the function satisfies the conditions of being continuous on [-2, 2] and differentiable on (-2, 2).

The given function f(x) = 23 - 3x + 2 is a linear function, and linear functions are continuous and differentiable everywhere. Therefore, f(x) is continuous on [-2, 2] and differentiable on (-2, 2). According to the Mean Value Theorem, there exists at least one number c in the interval (-2, 2) such that:

\(f'(c) = (f(2) - f(-2)) / (2 - (-2))\)

To find the possible value(s) of c, we need to find the derivative of f(x): f'(x) = -3 Since the derivative is a constant (-3) and does not depend on x, it is the same for all values in the interval (-2, 2). Therefore, the possible value(s) for c is any number in the interval (-2, 2). In other words, c can be any real number between -2 and 2.

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Answer:

7.2

Step-by-step explanation:

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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The value of t for a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence is -1.717. Which is an option (C).

For the purpose of determining whether the mean value of a population is equal to a specific value or not, the t-distribution is used. One of the most critical features of the t-distribution is that it is used when the sample size is less than 30 or when the population's standard deviation is unknown.

T-distributions are a collection of theoretical probability distributions that arise from the normal distribution and are used in hypotheses testing. The critical values of t for a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence are given by the t-distribution table.

Given that the sample size is 22, the degrees of freedom would be 22 - 1 = 21.

Therefore, At 95% confidence, t for a one-tailed test (lower tail) with 22 degrees of freedom is -1.717. Therefore, the correct option is (C).

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Answer:

The fast food restaurant has the higher unit price

The probability of selecting a 15 on the first selection is 1/25, since there is one favorable outcome (selecting 15) out of 25 possible outcomes (numbers from 0 to 24).

The probability of selecting a 15 on the second selection is 1/20, since there is one favorable outcome (selecting 15) out of 20 possible outcomes (numbers from 0 to 19).

To find the probability of both events occurring, we multiply the individual probabilities:

P(15 on both selections) = P(15 on the first selection) * P(15 on the second selection)

= (1/25) * (1/20)

= 1/500

Therefore, the probability of selecting a 15 on both selections is 1/500.

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The following are the correct convertion for the units of mass:

8000 mg converted to gram is 8 g

80 g converted to kilogram is 0.08 kg

0.8 kg converted to g is 800 g.

Gram (g) is the base unit of mass in the metric system. The milligrams (mg) and kilograms (kg) are derived units.

1 gram = 1000 milligrams (mg)

1000 grams = 1 kilogram (kg)

8000 mg = (8000/1000) g

8000 mg = 8 g

80 g = (80/1000) kg

80 g = 0.08 kg

0.8 kg = (0.8 × 1000) g

0.8 kg = 800 g.

In conclusion, 8000 mg converted to gram is 8 g, 80 g converted to kilogram is 0.08 kg, and 0.8 kg converted to g is 800 g.

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Answer:

answers are

3/5b-7=a

w=2.5+h/3

Answer:

A is correct

Step-by-step explanation:

The reasonable domain for this function is 0 < x < 50

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

A = 50W - W2

The area of a rectangle cannot be negative;

The practical domain of A is determined when;

50W-W^2>0

Taking common factor W

W(50-W)>0

Since W must be positive W>0

50-W>0

Or equivalently

50>w

W<50

The total interval is

0<W<50

Therefore, the domain of the function will be 0 < x < 50

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The first step in filling out the Free Application for Federal Student Aid (FAFSA) is to gather the necessary information and documents. This includes personal identification information, tax information, and financial information.

The first step in filling out the Free Application for Federal Student Aid (FAFSA) is to gather the necessary information and documents. This includes personal identification information, tax information, and financial information. Here is a step-by-step guide on what to do:
Step 1: Create a Federal Student Aid ID
The first step in filling out a FAFSA is to create a Federal Student Aid (FSA) ID. This ID is a username and password that allows you to access all federal student aid websites, including FAFSA.gov, StudentAid.gov, and the National Student Loan Data System (NSLDS). You and your parents (if applicable) will need to create your own FSA ID to sign the FAFSA electronically.
Step 2: Gather the necessary documents
Before you start filling out the FAFSA, make sure you have all the necessary information and documents. This includes your Social Security number, driver's license number (if you have one), tax returns, W-2 forms, bank statements, investment records, and records of untaxed income.
Step 3: Go to FAFSA.gov
Once you have your FSA ID and all the necessary documents, go to FAFSA.gov to start filling out the FAFSA. This website is the official government website for submitting the FAFSA and should be used instead of any other website claiming to offer FAFSA assistance.
Step 4: Select the right FAFSA form
There are different FAFSA forms depending on the academic year for which you are applying for aid. Make sure you select the correct form based on your academic year.
Step 5: Fill out the FAFSA
Once you have selected the correct FAFSA form, start filling out the FAFSA. Make sure to answer all the questions accurately and completely. You can use the IRS Data Retrieval Tool to automatically import tax information into the FAFSA, which can save you time and reduce errors.
Step 6: Submit the FAFSA
After you have completed the FAFSA, sign it electronically using your FSA ID. You will also need to sign your parent's information if you are a dependent student. Once you have signed the FAFSA, submit it. You will receive a confirmation page that you can print for your records.

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The conditional probability that the outcome of the coin toss was heads can be calculated using Bayes' theorem. The conditional probability that the outcome of the toss was heads given that a white ball was selected is 26/63.

Let's denote H as the event that the outcome of the coin toss was heads, and W as the event that a white ball was selected. We want to find P(H|W), the probability of the coin toss being heads given that a white ball was selected.

According to Bayes' theorem, we have:

P(H|W) = P(W|H) * P(H) / P(W)

P(W|H) is the probability of selecting a white ball given that the outcome of the coin toss was headed. Since the first mug is chosen in this case, which contains two white balls out of a total of nine balls, P(W|H) = 2/9.

P(H) is the probability of the coin toss being heads, which is 1/2 since the coin is fair.

P(W) is the probability of selecting a white ball, regardless of the outcome of the coin toss. There are a total of seven white balls out of thirteen balls (two from the first mug and five from the second mug), so P(W) = 7/13.

Therefore, substituting these values into Bayes' theorem:

P(H|W) = (2/9) * (1/2) / (7/13)

Simplifying this expression:

P(H|W) = 26/63

Therefore, the conditional probability that the outcome of the toss was heads given that a white ball was selected is 26/63.

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The area of the rectangular-shaped building is 2448 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that a rectangular-shaped building that is 34 feet wide and 72 feet long. The area of the rectangle will be calculated as below:-

Area of rectangle = Length x width

Area of rectangle = 34 x 72

Area of rectangle = 2448 square feet

Therefore, the area of the rectangular-shaped building is 2448 square feet.

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Answer:

-25

Step-by-step explanation:

\(-5^2=-25\)

Given:

The number of people are in the favor of restructuring is 50.

The number of people are in the oppose of restructuring is 82 .

The total number of persons is 182.

The probability of persons is in the favor of restructuring is,

The probability of persons is in the oppose of restructuring is,

To find the probability that a randomly selected person is either in favor of or opposed to the restructuring,

Answer:

Answer:

I believe it is B

Step-by-step explanation:

Social media reaches a lot of people

The correct option is  B) increase.

To decrease sample error, a pollster must increase the number of respondents. The larger the sample size, the more representative it is likely to be of the target population, leading to a lower margin of error.

When conducting surveys or polls, it is essential to obtain responses from a diverse and random group of individuals. By increasing the number of respondents, the pollster can capture a broader range of perspectives, which helps to reduce sampling bias and increase the accuracy of the results.

For example, let's say a pollster wants to understand the political preferences of voters in a particular city. If they only survey 50 people, the sample may not accurately reflect the larger population, and the margin of error could be high. However, if they survey 500 or even 1000 people, the results are more likely to provide a reliable estimate of the overall population's preferences.

Therefore, to decrease sample error, pollsters should increase the number of respondents in their surveys or polls. This approach helps to ensure a more accurate representation of the population's views and minimize the potential for misleading or biased results.

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The rate increases by a factor of 9 when the concentration is tripled.

It is given to us that the rate law is -

\(R=k(NO_{2} )^{2}\) ----- (1)

We have to find out the change in the rate if the concentration is tripled.

When the concentration is tripled, we can rewrite the equation (1) as -

\(R_{new} =k(3*NO_{2} )^{2}\\= > R_{new} =9*k(NO_{2} )^{2}\\= > R_{new} =9R\)[From equation (1)]

Thus, we see that the rate increases by a factor of 9 when the concentration is tripled.

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P (or Q) and mark an arc roughly where M's reflection across AB is located.

One tool for drawing circles is a compass. According to the circle's radius, which is drawn with a compass, the sizes of the circles vary.

A compass's handle is held in place by our thumb and forefinger. A circle is typically drawn using just one hand. Between the forefinger and thumb, the compass is turned.

Around this point, the pencil tip is rotated. The circle's radius is determined by the distance between the pencil tip and the compass needle. A ruler is used to set it. The gap can be adjusted by adjusting the angle between the compass's arms.

At that point of reflection (M'), arcs drawn from P and Q in M's approximate location across AB will intersect. As desired, the line passing through point M and perpendicular to AB will connect M and M'.

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The exponential function in the graph can be written as:

h(x) = 3*2^x

We can see that h(x) is an exponential function, so we can write this in a general form as:

h(x) = a*b^x

Where a is the initial value and b is the base of the exponential.

First, we can see that it passes through the ponit (0, 3), replacing these values we will get:

3 = a*b^0

3 = a

So the equation is:

h(x) = 3*b^x

We also can see that it passes through (1, 6), replacing these values we will geT:

6 = 3*b^1

6 = 3*b

6/3 = b

2 =b

The exponential function is:

h(x) =3*2^x

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He will get £158.43. After paying the agent commission, he will get amount of £154.65 for R2100.

0.075199 x 2100 = 158.43 pound

158.43 - 105 = 53.43 pound

53.43 + 5.343 = 58.78 pound

158.43 - 58.78 = 154.65

First, we need to calculate the amount of pound for R2100. To do this, we need to use the exchange rate of R1 to 0.075199 pound. Thus, R2100 is equal to 0.075199 x 2100 = 158.43 pound.

Second, we need to calculate the amount of pound after paying the agent commission. To do this, we need to subtract the commission which is 5% of R2100. Thus, 5% of R2100 is equal to 0.05 x 2100 = 105. Thus, the amount of pound after paying the commission is equal to 158.43 - 105 = 53.43 pound.

Finally, we need to calculate the amount of pound after increasing the price. To do this, we need to add the increased price which is 10% of 53.43 pound. Thus, 10% of 53.43 is equal to 5.343 pound. Thus, the amount of pound after increasing the price is equal to 53.43 + 5.343 = 58.78 pound.

Therefore, the amount of pound that Brain will get for R2100 after paying the agent commission and increasing the price is equal to 158.43 - 58.78 = 154.65

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1. The meters of fencing that he installed on each day will be 6.54 meters.

2. The amount of money that Jenny will make will be $127.05.

1. Number to be installed = 42.6m

It should be noted that the person already installed on Monday and Tuesday. Therefore, the amount to install from Wednesday to Friday will be illustrated as:

= (42.6) - (13.45 + 9.5) / 3

= 42.6 - 22.95 / 3

= 6.54 meters per day.

2. The amount of money that Jenny will make will be:

= (9.15 × 9) + (7.45 × 6)

= 82.35 + 44.7

= $127.05

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The probability distribution that X has is a binomial distribution, and the expected score on the exam is 20.

a. The correct probability distribution is a binomial distribution.

This is because the multiple-choice exam consists of 100 questions with 5 possible responses to each question.

The discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome, is known as the binomial distribution with parameters n and p in probability theory and statistics: success (with probability p) or failure (with probability q= 1 - p)

Therefore, this is a classic example of a binomial distribution where there are two outcomes in each trial (success and failure) and the trials are independent of each other.

(b) The expected score on the exam

The expected value of X is given by the formula;

Expected value (E) = np

n is the number of trials (100)

p is the probability of getting the correct answer (1/5).

Therefore, Expected value (E) = np

= 100 × (1/5) = 20

So, your expected score on the exam is 20.

A score of 50 is z = 6 standard deviations above the mean.

Therefore, it is extremely unlikely that you would score over 50 on this exam.

In conclusion, a binomial distribution is the probability that X has. Meanwhile, 20 is the expected score.

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Answer:x=3 , y=-5 OR (3,-5)

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

I took the quiz and it's right

Answer:69

Step-by-step explanation:

I just got it correct

Brook measured the distance between two points on the line that are 4 units apart. This is a valid measurement of distance between those two points on the line.

Caleb's statement that the whole line does not have a distance because it continues on forever is a mathematical concept related to the idea of infinity. In mathematics, a line is considered to be an infinite set of points, and therefore, it does not have a finite length or distance.

However, when we talk about a specific segment or distance on the line between two points, we can measure that distance and express it as a finite number.

Vivian's statement that the line is 6 units long is incorrect, assuming that she is referring to the entire line.

As mentioned earlier, a line is considered to be infinite and therefore does not have a finite length or distance. If she is referring to a specific segment of the line between two points, then it is possible that the length of that segment is 6 units.

Therefore Brook measured the distance between two points on the line that are 4 units apart.

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Brook refers to a specific segment of the line, which is 4 units. Caleb correctly states that a geometric line is infinite. Vivian could be referring to a different segment, which she says is 6 units.

In this scenario, we can infer that Brook is talking about a specific segment of the line rather than the entire line. He has measured a specific distance along the line, which he states is 4 units. Meanwhile, Caleb is correct in saying that the whole line does not have a specific length because it continues on forever. This is a property of a geometric line, which is infinite. Vivian's assertion that the line is 6 units could mean that she is referring to another specific segment of the line, different from the segment Brook measured.

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3-2x = -1.5x

Add 2x to both sides:

3 = 0.5x

Divide both sides by 0.5

X = 3/0.5

X = 6

The answer is 6

Answer:

it is 6

Step-by-step explanation: