The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 40 who smoke. Step 2 of 2: Suppose a sample of 1089 Americans over 40 is drawn. Of these people, 806 don't smoke. Using the data, construct the 85% confidence interval for the population proportion of Americans over 40 who smoke. Round your answers to three decimal places

Answer:

V = 900π ≈ 286.47 units³

Step-by-step explanation:

C = 2πr

12 = 2πr

r = 12/2π = 6/π

V = 2πr²h

V = π(6/π)²(25) = π(36/π²)(25)

V = 36/π(25) = 900/π ≈ 286.47

Answer:

3:4 i think

Step-by-step explanation:

3 4 is the answer

Answer:

The fourth graph

Step-by-step explanation:

X is increasing and Y is decreasing. The only graph that shows that is graph 4.

Answer:

The 4th graph

Step-by-step explanation:

Look for the most reasonable answer for the change in y and x. We can see that as x steadily increases, y steadily decreases. The only graph representing our scenario is the 4th graph, the graph where the line goes down to the lower-right direction.

The expected waiting time is 1.2 minute

According the statement

We know that the kingman formula is

\({ E(W) = \left ( \frac{p}{1-p} \right )\cdot \left ( \frac{ C_{a}^{2}+ C_{s}^{2} }{2} \right ) \cdot \mu_{s} }\)

According to statement the mean value μs is 6 min.

Here the value of P is 6/36 = 1/6

And the value of ca and cs is 1

Substitute the values in formula then

\({ E(W) = \left ( \frac{0.17}{1-0.17} \right )\cdot \left ( \frac{ 1^{2}+ 1^{2} }{2} \right ) \cdot \m6} }\)

\({ E(W) = \left ( \frac{0.17}{0.83} \right )\cdot \left ( 1 ) \cdot \m6} }\)

\({ E(W) = \left ( 0.20} \right )\cdot \left ( 1 ) \cdot \m6} }\)

\({ E(W) = 1.22\)

So, the expected waiting time is 1.2 minute

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The absolute value equation for the two solutions of x is x² + 1.5x - 8.75, which is a required quadratic equation.

We can find an absolute value equation for the two solutions of x with the help of reverse functions of quadratic equations. An equation with an absolute value expression is known as an absolute value equation. This is a description of the absolute value equation. Absolute value disparities come in two different varieties. One with |a| b or less, and the other with |a|> b or more.

For x = 2.5, it can only have an absolute equation if x = 2.5. This means,

x - 2.5 = 0...... eq.1

For x = -3.5, similarly we can write:

x - (-3.5) = 0.........eq. 2

From eq 1 and eq 2:

(x - 2.5) (x + 3.5) = 0

Solving and multiplying this we get:

x² + 3.5x - 2.5x - 8.75

= x² + 1.5x -8.75.

Thus, the required absolute value equation is x² + 1.5x -8.75.

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The equation of a parabola with a horizontal axis and vertex at the origin can be written as y = a x^2, where a is a constant. Since the vertex is at the origin, the parabola is symmetric about the y-axis.

To find the value of a, we can substitute the coordinates of the given point (-1, 3) into the equation and solve for a.

3 = a (-1)^2

3 = a

Therefore, the equation of the parabola is y = 3x^2.

The vertex form of the equation of a parabola with a horizontal axis is y = a(x-h)^2 + k, where (h,k) is the vertex. Since the vertex is at the origin, h = 0 and k = 0, so the equation simplifies to y = a x^2. We can use the given point (-1, 3) to solve for a, as shown above. The resulting equation is y = 3x^2.

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Answer:

The number is 28.35

Step-by-step explanation:

45% of 36

\(\frac{x*y}{100}\)

= \(\frac{45*36}{100}\)

= \(\frac{2835}{100}\)

= 28.35

Ralph would most likely get more items correct than his Grandmother.

If both Ralph and his Grandmother took the Intelligence Quotient i.e., IQ test, then Ralph would most likely get more items correct than his Grandmother. This is due to Flynn Effect.

Flynn Effect refers to secular increase in population intelligence quotient observed throughout the 20th century. It demonstrates that the average of the IQ scores will change as varying generations have different thresholds for what intelligence is necessary.

Flynn Effect is documented by Flynn in a study on intelligence quotient. As Ralph's grandmother was born on 1925 and Ralph was born in 1990, so they have a generation gap of almost six decades. That is why Ralph will have a higher IQ than his grandmother.

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Answer:

B. 5.6%

Step-by-step explanation:

Add all the visitors up which equals 4215.5 and do 236.9 divided by 4215.5 and you get 0.056 which converted to a percentage equals 5.6%. Hope this helps.

The final count of integers with no repeating digits within the range is 1000 - 9 - 900 = 91.

The problem requires finding the number of integers within a range that don't contain any repeating digits. The brute force method for this would be to check every integer in the range for repeating digits, which is computationally expensive and can lead to time-out issues in certain cases.

Optimized Approach To optimize the approach, we can observe that the number of integers with no repeating digits within a range is significantly less than the number of integers with repeating digits. Therefore, instead of checking every integer for repeating digits, we can start by counting the numbers with repeating digits and then subtracting that number from the total count of integers in the range.To do this, we can use a function that checks if a given integer contains any repeating digits. If it does, then we add it to the count of numbers with repeating digits. If it doesn't, then we move on to the next integer. Once we've checked all integers in the range, we can subtract the count of numbers with repeating digits from the total count of integers in the range to get the final answer.For example, if we have a range of integers from 1 to 1000, the total count of integers in the range is 1000. We can start by checking if 11, 22, 33, ..., 99 contain repeating digits, which they do. So, we add 9 to the count of numbers with repeating digits. Then, we can check if 100, 101, 102, ..., 999 contain repeating digits, which they do as well. So, we add 900 to the count of numbers with repeating digits. Therefore, the final count of integers with no repeating digits within the range is 1000 - 9 - 900 = 91.

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The closest to the inverse notation is (d) 5

From the question, we have the following parameters that can be used in our computation:

The graph of the function f(x)

The notation f'(7) implies that we determine the inverse of the function

From the graph, we have the following equation

f(5) = 7

This means that

f^-1(7) = 5

Hence, the closest is (d) 5

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Correct option is C. Mr. Beebe’s statement, "The water-tight . . . bad"

(lines 9-11), suggests that Lucy will one day begin to live with great passion

Mr. Beebe is of the opinion that playing the piano 'wonderfully' but preferring to live quietly reflects an inconsistency in Lucy Honeychurch's character. He believes that someday these two traits of her will mingle.

He says that when the 'water-tight compartments in her will break' and the two traits of playing piano but preferring to live quietly will mingle; only then will she live life to the fullest. Thus C is the best answer.

The lines were -

The water-tight compartments in her will break down, 10 and music and life will mingle. Then we shall have her heroically good, heroically bad—too heroic, perhaps, to be good or bad.”

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Answer:

Step-by-step explanation:

Angel ran 1 lap in 2 minutes.

Jayden ran 3 laps in 5 minutes.

How many minutes does it take Angel to run one kilometer? What about Jayden?

How far does Angel run in one minute? What about Jayden?

Who is running faster? Explain your reasoning.

IM Commentary

Parts (a) and (b) of the task ask students to find the unit rates that one can compute in this context. Part (b) does not specify whether the units should be laps or km, so answers can be expressed using either one.

The purpose of part (c) is to give students an opportunity to make use of the unit rates that they found in parts (a) and (b). While it is possible for students to solve part (c) in other ways, the solution shown represents the kind of reasoning with unit rates that 7th graders should be able to do. It is important to note that the answer can be determined using different unit rates as long as the reasoning behind it is correct.

Solution

We can create a table that shows how far each person runs for a certain number of laps:

Number of laps Number of km

1 25

2 45

3 65

We can see from the table that 1 km is exactly half way between 2 and 3 laps. So it will take 2.5 laps to run 1 km.

Since it takes Angel 2 minutes to run 1 lap, she will take

2.5 laps1 km⋅2 minutes1 lap=5 minutes1 km.

So it takes Angel 5 minutes to run 1 km.

Since it takes Jayden 5 minutes to runs 3 laps, she runs 1 lap in 53 minutes. Thus, it takes Jayden

2.5 laps1 km⋅5 minutes3 laps=52⋅53 minutes/km=256 minutes/km=416 minutes/km.

So it takes Jayden 416 minutes to run 1 km.

Angel runs 1 lap in 2 minutes so she runs 12 lap in 1 minute. Since 1 lap is 25 km, 12 lap is 15 km. So she also runs 15 km in one minute.

Since Jayden runs 1 lap in 53 minutes, she will run 35 laps in 1 minute. Since Jayden runs 1 km in 256 minutes, she will run 625 km in 1 minute.

Jayden runs the same distance in less time than Angel (alternatively, Jayden runs farther in the same time than Angel), so Jayden is running faster than Angel.

======================================================

Explanation:

At 99% confidence, the z critical value is roughly z = 2.576 which is found using a Z table.

We're given that \(\hat{p} = 0.5\) as the sample proportion and E = 0.05 is the desired error.

The min sample size n is:

\(n = \hat{p}*(1-\hat{p})\left(\frac{z}{E}\right)^2\\\\n \approx 0.5*(1-0.5)\left(\frac{2.576}{0.05}\right)^2\\\\n \approx 663.5776\\\\n \approx 664\\\\\)

Always round up to the nearest integer.

Unfortunately n = 664 isn't one of the answer choices. The next closest value is 700. It appears that your teacher wants to know a valid sample size that is the smallest of the answer choices, not necessarily the smallest ever possible.

SOLUTION

The question involves combination since it only deals with the selection without arrangement.

Hence the formula to use is

For this question, we have

Simplifying the last expression we obtained

Therefore,

The number of committees to be chosen is 3003

(1st picture): y=2x+3 and y=x+5

(2nd picture): y=4x+2 and y =3x+2

(3rd picture): y=2x+1 and y =x+2

(4th picture): 3x and x+3

The solutions to the system of equations are (5,2), no solutions, (7,3), (2,7), no solutions and (3,5) respectively.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

(1) Systems of equations

2x + y = 12

x = 9 − 2y

See the graph given below the solution is the point (5,2).

(2) Systems of equations

x + 2y = 9

2x + 4y = 20

See the graph given below the solution is the point has no solution the two lines are parallel.

(3) Systems of equations

x + 3y = 16

2x − y = 11

See the graph given below the solution is the point (7,3).

(4) Systems of equations

y = 11 − 2x

4x − 3y = -13

See the graph given below the solution is the point (2,7).

(5) Systems of equations

y = 10 + x

-3x + 3y = 30

See the graph given below the system has no solutions.

(6) systems of equations

2x + y = 11

x − 2y = -7

See the graph given below the solution is the point (3,5).

Therefore, the solutions to the system of equations are given below in the figure.

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a and g i think, hope this helps

Te equation of the line that is perpendicular to 4x - y = 5 and passes through the point (1, -3) is y = -1/4x - 11/4.

To find the equation of the line that is perpendicular to the line 4x - y = 5 and passes through the point (1, -3), we need to determine the slope of the given line and then find the negative reciprocal of that slope.

Given line: 4x - y = 5

Let's rearrange the equation into slope-intercept form (y = mx + b) to determine the slope:

y = -4x + 5

y = -(-4)x + 5

y = 4x + 5

The slope of the given line is 4.

The negative reciprocal of the slope is -1/4.

Since a line perpendicular to the given line will have a slope that is the negative reciprocal of 4, we now have the slope of the perpendicular line.

Next, we can use the point-slope form of a linear equation to find the equation of the line:

y - y₁ = m(x - x₁)

Substituting the values:

y - (-3) = -1/4(x - 1)

y + 3 = -1/4(x - 1)

y + 3 = -1/4x + 1/4

y = -1/4x + 1/4 - 3

y = -1/4x - 11/4

Therefore, the equation of the line that is perpendicular to 4x - y = 5 and passes through the point (1, -3) is y = -1/4x - 11/4.

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Answer:

y=mx+b

y=1x+2

to find b all u have to look for is where it hits the y line and to fine the m u have ti choose a pint and you do the rise/run

Answer:

I don't see any attachement or a picture or anything

Step-by-step explanation:

The answer is D

The underlying distribution for sampling a population proportion and finding the margin of error of a proportion point estimate is the binomial distribution.

The binomial distribution is used when the data consists of a fixed number of independent trials, each with two possible outcomes (e.g., success or failure), and the probability of success remains the same for each trial. In the context of estimating a population proportion, the binomial distribution is used to model the sampling variability and calculate the margin of error around the point estimate of the proportion.

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The probability P(z>0.46) for a standard normal random variable z is 0.8228 or 82.28%.

The probability P(z>0.46) for a standard normal random variable z can be found using the standard normal distribution table or a calculator with a normal distribution function.

Using the table, we can locate the value 0.46 in the first column and the tenths place of the second column. This gives us a corresponding area of 0.1772. However, we need the probability of the right tail, which is 1-0.1772 = 0.8228.

Alternatively, we can use a calculator with a normal distribution function. The function requires the mean (which is 0 for a standard normal distribution) and the standard deviation (which is 1 for a standard normal distribution) and the upper bound of the integral (which is 0.46 in this case). Using this information, we can calculate the probability P(z>0.46) as follows:

P(z>0.46) = 1 - P(z<0.46)

= 1 - 0.6772

= 0.8228

Therefore, the probability P(z>0.46) is 0.8228 or approximately 82.28%.

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Answer:

To subtract two-digit numbers, use column form. Subtract one column at a time, starting with the Ones column. We regroup, or borrow. To regroup, take 1 from the Tens column and add 10 to the Ones column.

Step-by-step explanation:

Green, Inc.'s qualifying research expenditures for the year can be calculated by adding the in-house research expenditures to the payments made to a qualified research organization, such as the Blue Foundation.

Using this formula, we can calculate the qualifying research expenditures for the year as follows:

$60,000 + $30,000 = $90,000

Therefore, the answer is (d) $90,000.

In-house research expenditures, such as wages, supplies, and computer time, qualify as research expenditures for tax purposes. Payments made to a qualified research organization also qualify as research expenditures. To determine the total qualifying research expenditures for the year, these two types of research expenditures must be added together.

In the given scenario, Green, Inc. incurred $60,000 in in-house research expenditures and paid $30,000 to the Blue Foundation for research. Adding these two amounts together, the qualifying research expenditures for the year are $90,000.

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Answer:

Sedan =18

minivan=19

truck=16

Step-by-step explanation:

Answer:

The answer is -6, -4

Step-by-step explanation:

The coordinates of F' are (-6, -4).

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

A transformation known as a translation involves moving each point in a figure uniformly and in the same direction.

Given:

Triangle DEF is reflected over the y-axis to form triangle D'E'F'.

now, we have the rule for reflection over y axis

P( x, y)-----> P' (-x, y)

Then the coordinates of D'E'F are

D(4, 1)---------> D'(-4, 1)

E(8, -3)---------> E'(-8, -3)

F (6, -4)----------> F'(-6, -4).

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Answer:

Solution in photo

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

Answer:

5 students.

Step-by-step explanation:

25% is a quarter of the amount, or 1/4. A quarter of 20 is 5, since 4 times 5 is 20. So 5 students have cats.

The probability that a woman with a positive test actually has breast cancer is 0.009395.

In the given question,

For symptom-free women aged 40 to 50 who participate in screening using mammography, the following information is available for this region.

The probability that one of these women has breast cancer is 0.8%.

If a woman has breast cancer, the probability is 90% that she will have a positive mammography test.

If a woman does not have breast cancer, the probability is 7% that she will still have a positive mammography test.

Then we have to find the probability that a woman with a positive test actually has breast cancer.

From the given question, one of these women has breast cancer is 0.8%.

So P(A) = 0.8%

P(A) = 0.8/100

P(A) = 0.008

The probability of not having cancer P(A') is

P(A') = 1−P(A)

P(A') = 1−0.008

P(A') = 0.992

The probability of having positive mammography test and breast cancer is 90%.

Let the probability of having positive mammography test is P(B).

So P(B/A) = 90%

P(B/A) = 90/100

P(B/A) = 0.90

The probability of having positive mammography test and does not having breast cancer is 7%.

So P(B/A') = 7%

P(B/A') = 7/100

P(B/A') = 0.07

Now finding the probability of having breast cancer and positive mammography test.

P(A/B) = P(A∩B)/P(B)....................(1)

Firstly finding the value of P(A∩B) and P(B)

Firstly finding the value of P(A∩B)

P(A∩B) = P(B/A)×P(A)

Now putting the value

P(A∩B) = 0.90×0.008

P(A∩B) = 0.0072

Now finding the value of P(B)

P(B) = P(B/A)×P(A)+P(B/A')×P(A')

Now putting the value

P(B) = 0.90×0.008+0.07×0.992

P(B) = 0.0072+0.06944

P(B) = 0.7664

Now putting the value of P(A∩B) and P(B) in Equation (1)

P(A/B) = 0.0072/0.7664

P(A/B) = 0.009395

Hence,  the probability that a woman with a positive test actually has breast cancer is 0.009395.

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