Let X be the random variable denoting whether someone is left-handed. X follows a binomial distribution with a probability of success p = 0.10. Suppose we randomly sample 400 people and record the proportion that are left-handed. The probability that this sample proportion exceeds 0.13 is 0.0228. Which of the following changes would result in this probability increasing? Decrease the number of people sampled to 300 Decrease p to 0.08 Both are correct None are correct

The tangent of the angle is approximately 0.447.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. It is denoted by the function "tan" followed by the angle symbol in parentheses.

We can use the coordinates of the given point to find the tangent of the angle. Let's first plot the point (0.913, 0.408) in the Cartesian plane:

From the given information, we know that the point lies on the terminal side of an angle of 0, which means it lies on the positive x-axis. Therefore, the angle between the positive x-axis and the point is 0 degrees or 0 radians.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side of a right triangle. In this case, since the angle is 0 degrees or 0 radians, we can consider a right triangle where the hypotenuse coincides with the positive x-axis, the adjacent side coincides with the x-axis, and the opposite side coincides with the y-axis. This gives us a right triangle with a base of length 0.913 and a height of 0.408:

Using the definition of tangent, we have:

tangent of the angle = opposite side / adjacent side = 0.408 / 0.913

Thus, the tangent of the angle is approximately 0.447.

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Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

4

Step-by-step explanation:

m = 4

The probability of selecting 19 homeowners and 1 renter in a random sample of 20 residents in a small village with 190 homeowners and 110 renters.

To calculate the probability of randomly selecting a homeowner and a renter from a small village of 300 residents with 190 homeowners and 110 renters in a sample of 20 residents, follow these steps:
1. Calculate the probability of selecting a homeowner (P(homeowner)).
P(homeowner) = Number of homeowners / Total number of residents = 190 / 300
2. Calculate the probability of selecting a renter (P(renter)).
P(renter) = Number of renters / Total number of residents = 110 / 300
3. Calculate the number of ways to choose 19 homeowners and 1 renter from the sample (Combination).
C(190,19) × C(110,1) = (190! / (19! × (190-19)!)) × (110! / (1! × (110-1)!))
4. Calculate the number of ways to select a random sample of 20 residents (Combination).
C(300,20) = 300! / (20! × (300-20)!)
5. Calculate the probability of selecting 19 homeowners and 1 renter from the random sample of 20 residents.
Probability = (C(190,19) × C(110,1)) / C(300,20)
By calculating these values, you will find the probability of selecting 19 homeowners and 1 renter in a random sample of 20 residents in a small village with 190 homeowners and 110 renters.

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Answer:

9 plus 11 plus 12 =

Step-by-step explanation:

x is 22

Answer:

jason: 60mph

marie: 50mph

Step-by-step explanation:

let jason drive at x miles per hour

let marie drive at x-10 miles per hour

let jason drive for y hours

let marie drive for y+1 hours

distance = speed * time

for jason:

300 = x * y

for marie:

300 = (x-10) * (y+1) = x*y + x - 10y -10

300 = x*y

divide both sides by x to solve for y

300/x = y

plug this into the second equation

300 = (x-10) * (300/x+1) = 300 -3000/x +x -10

300 = 300 -3000/x +x -10

subtract 300 from both sides

0 = -3000/x + x - 10

multiply both sides by x to get rid of the denominator

0 = x^2 -10x -3000

factor

0 = x^2 - 60x +50x -3000

0 = x(x-60) + 50(x-60) = (x+50)(x-60)

x = 60 or -50

x cannot be negative so x = 60mph

marie = 60-10 = 50mph

We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.

This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.

In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.

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Yes, the identity \(cos^{2}\)(2x) + \(sin^{2}\)(2x) = 1 is true. This identity is a fundamental trigonometric identity known as the Pythagorean identity.

The Pythagorean identity states that for any angle x, the square of the cosine of x plus the square of the sine of x is always equal to 1. Mathematically, it can be written as \(cos^{2}\)(x) + \(sin^{2}\)(x) = 1.

In the given expression, \(cos^{2}\)(2x) + \(sin^{2}\)(2x), we have an angle of 2x. According to the Pythagorean identity, the sum of the squares of the cosine and sine of this angle will also equal 1. Therefore, \(cos^{2}\)(2x) + \(sin^{2}\)(2x) simplifies to 1.

This identity is fundamental in trigonometry and has numerous applications in solving trigonometric equations and identities. It demonstrates the relationship between the cosine and sine functions and their squares, highlighting their complementary nature.

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The object would be age of 5730 years old.

Two or more expressions with an Equal sign is called as Equation.

If an object contains 50% of its original amount of carbon-14, then the remaining amount is D/D₀ = 0.5, where D₀ is the original amount of carbon-14.

Substituting this value into the equation A = -8267 ln(D/D₀)

A = -8267 ln(0.5/1)

A = 5730 years

Therefore, the object would be age of 5730 years old.

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Answer:

Step-by-step explanation:

Equation for the linear function has been given as,

y = 26 - 4x

For x = 1,

y = 26 - 4(1)

  = 26 - 4

  = 22

For x = 2,

y = 26 - 4(2)

  = 26 - 8

  = 18

For x = 3,

y = 26 - 4(3)

  = 26 - 12

  = 14

For x = 6,

y = 26 - 4(6)

  = 26 - 24

  = 2

Therefore, table for the function will be,

x               y

1              22  

2              18

3              14

6               2

Answer:

362,880

Step-by-step explanation:

Since there are 9 possible players for the first position, 8 for the 2nd (1 is taken off), 7 for the 3rd, etc. So you would multiply these numbers together. So there are 362,880 different possible batting orders.

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

-61b - 30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

3(-8b - 9b - 10) - 10b

Step 2: Simplify

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. It can tell us a lot about the graph of the polynomial, it can mainly tell us whether the graph is in a downward direction or upward direction.

If the leading coefficient is positive, then the graph will start at the origin and will extend upwards, with the degree of the polynomial determining how steep the graph is. If the leading coefficient is negative, then the graph will start at the origin and extend downwards.

If the leading coefficient is 0, then the graph will be a horizontal line. The leading coefficient can also tell us about the end behavior of the graph. If the degree of the polynomial is even, then the end behavior will be a horizontal line. If the degree of the polynomial is odd, then the end behavior will be a vertical line. Knowing the leading coefficient of a polynomial gives us a basic idea of what the graph of the polynomial will look like.

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a standard wooden pencil typically measures around 7 inches to 7.5 inches in length.

The average length of a pencil can vary depending on factors such as the type of pencil, region, and manufacturer. However, a standard wooden pencil typically measures around 7 inches to 7.5 inches in length. This range encompasses the most common lengths found in the market.

It's important to note that there may be slight variations in length between different pencil brands and styles. Additionally, specialty or novelty pencils may have different lengths based on their design or intended purpose.

To obtain a more accurate average length for a specific set of pencils or a particular region, you would need to measure a representative sample of pencils and calculate the average length based on the measurements obtained.

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Answer:

Step-by-step explanation:

The question provides four relations, R1, R2, R3, and RxR, defined on the set of real numbers. To understand the composition of these relations, we need to know that the composition of two relations is a new relation that is formed by connecting the outputs of the first relation with the inputs of the second relation. In this case, we need to determine the composition of R1 and R2, R4, R1 or R3, and RxR. By applying the definition of each relation, we can determine the composition of these relations. In conclusion, understanding the composition of relations is an essential aspect of algebra, and it helps in solving problems related to functions and sets.

The composition of two relations is a new relation that is formed by connecting the outputs of the first relation with the inputs of the second relation. In this question, we have four relations, R1, R2, R3, and RxR, defined on the set of real numbers. R1 is defined as (x, y): xy, R3 is defined as (x, y): yy), resulting in the empty set since there are no real numbers that satisfy both conditions. Similarly, we can find the composition of R4, R1 or R3, and RxR.

In conclusion, understanding the composition of relations is an essential aspect of algebra. It helps in solving problems related to functions and sets. In this question, we need to apply the definition of each relation to find their composition, resulting in a new relation. This process helps in understanding how different relations can be combined to form a new relation.

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After rounding 475.189 to the nearest hundredth we get 475.19 .

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rules of rounding a number to its nearest hundredth is,

The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.

If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.

And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.

Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit)  by 1 we get 475.19 (to the nearest hundredth).

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Answer: yes

Step-by-step explanation:

12    3

4     1

to get to 3 from 12 you divide by 4 and to get from 4 to 1 you also divided by 4

The largest side of the triangle is 52.

Checking pythagoraus theorem,

Thus, it is not a right angle triangle.

Thus, option (D) is correct.

The probability that a randomly selected adult does not own shares of stock is 66.84%.

To calculate the probability that a randomly selected adult does not own shares of stock, we need to subtract the probability that the person is a shareholder from the probability that the person has some college education. We can use the formula:

P(A') = 1 - P(A)

where P(A) is the probability that the person is a shareholder, and P(A') is the probability that the person is not a shareholder.

P(A) = 52%

P(A') = 100% - P(A') = 100% - 52% = 48%

Next, we need to calculate the probability that the person has some college education.

We can use the formula:

P(B) = 47%

Now we can use the formula for conditional probability to calculate the probability that the person has some college education given that they are not a shareholder:

P(B|A') = P(A' and B) / P(A')

To calculate P(A' and B), we can use the formula:

P(A' and B) = P(B) - P(A and B)

P(A and B) = P(A) x P(B|A) = 52% x P(B|A)

To calculate P(B|A), we can use Bayes' theorem:

P(B|A) = P(A|B) x P(B) / P(A)P(A|B) = P(A and B) / P(B) = (52% x P(B|A)) / P(B)

Now we can substitute this expression into the formula for P(A' and B):

P(A' and B) = P(B) - P(A) x P(A|B) x P(B) / P(A) = 47% - (52% x P(B|A)) x 47% / P(B)

Now we can substitute these expressions into the formula for P(B|A') and simplify:

P(B|A') = (47% - (52% x P(B|A)) x 47% / P(B)) / 48%

We are given that 16% of all shareholders have some college education, so we can substitute this value for P(B|A):

P(B|A') = (47% - (52% x 16%)) x 47% / P(B) / 48% = 33.16%

Finally, we can substitute this value into the formula for P(A'):

P(A') = 100% - P(A') = 100% - 33.16% = 66.84%

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Answer:

64

Step-by-step explanation:

Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST

The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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Answer:

the length is 15

Step-by-step explanation:

So the height of the pole(Opposite) = 9m

The steel wire fixed to the ground(Adjacent) = 12m

the length( Hypotenuse) = ?

using the formula

Hyp² = opp² + Adj²

Hyp² = 9² + 12²

Hyp² = 81 + 144

Hyp² = 225

Hyp = √225

Hyp = 15

i hope this helps

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

f(-3) = -26

Step-by-step explanation:

f(n)=7n-5; f(-3)

f(-3) = 7(-3) - 5

f(-3) = -21 - 5

f(-3) = -26

I hope this helps!

Probability that the professional other than Tokyo, Kyoto or Osaka is 6803/13839.

Total number of professional train pushers who are diagnosed with carpal tunnel is 13839

Number such professional from Tokyo = 2551

Number such professional from Osaka = 3049

Number such professional from Kyoto = 1436

So, number such professional from other than these three cities = 13839 - (2551+3049+1436) = 6803

Hence the probability that the professional other than Tokyo, Kyoto or Osaka is = 6803/13839

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Answer:

5685.12

Step-by-step explanation:

well , I hope it helps

The number five thousand six hundred eighty-five and twelve hundredths in standard form can be written as 5685.12.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

The number five thousand six hundred eighty-five and twelve hundredths in standard form can be written as 5685.12.

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