a random sample of medical files is used to estimate the proportion p of all people who have blood type b. if you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 99% sure that the point estimate will be within a distance of 0.04 from p?

Answer:

well it is b

Step-by-step explanation:

well I tried my best

When a figure or a shape is dilated, the size of its image will either be enlarged or compressed.

The scale of dilation from A to B is 1.5

See attachment for the image that completes the question.

Using a ruler, we have the following measurements

\(\mathbf{A = 1\ inch}\)

\(\mathbf{B = 1.5\ inches}\)

The scale factor (k) from A to B is:

\(\mathbf{k = \frac BA}\)

This gives

\(\mathbf{k = \frac {1.5\ inches}{1\ inch}}\)

\(\mathbf{k = \frac {1.5}{1}}\)

\(\mathbf{k = 1.5}\)

Hence, the scale factor (k) from A to B is 1.5

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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: No Solution

Step-by-step explanation: In picture

Answer:

did u ever get on answer cause I'm stuck in this too

Step-by-step explanation:

The composite functions (f ∘ g)(x) and (g ∘ f)(x) for the given functions f(x) = 3x^3 - 2 and g(x) = √x + x + 3 can be calculated as follows:

1. (f ∘ g)(x): Substitute g(x) into f(x) and simplify.

(f ∘ g)(x) = f(g(x)) = f(√x + x + 3) = 3(√x + x + 3)^3 - 2

2. (g ∘ f)(x): Substitute f(x) into g(x) and simplify.

(g ∘ f)(x) = g(f(x)) = g(3x^3 - 2) = √(3x^3 - 2) + (3x^3 - 2) + 3

The composite function (f ∘ g)(x) represents the composition of the functions f(x) and g(x), where the output of g(x) is used as the input for f(x). Similarly, (g ∘ f)(x) represents the composition of the functions g(x) and f(x), where the output of f(x) is used as the input for g(x).

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Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

Answer: 6

Step-by-step explanation:

To calculate the fifth term of the sequence defined by f(n) = 3n - 9, we have to put 5 as the value of n in the equation. This will be:

f(n) = 3n - 9

f(5) = 3(5) - 9

= 15 - 9

= 6

Therefore, the fifth term is 6.

The van contains 12 students and the bus contain 33 students.

The given information is:

The senior class at the high school rented and filled 14 vans and 11 buses with 531 students.

For this, we have to convert it into an equation:

14v+11b=531---------(1)

A High school b rented and filled 7 vans and 7 buses with 315 students.

For this, we have to convert it into an equation:

7v+7b=315----------(2)

To, find the number of students in the van and bus we have to solve two equations :

14v+11b=531

7v+7b=315*2

---------------------

14v+11b=531

14v+14b=630

----------------

        -3b=-99

           b=33

The total number of students on the bus is 33 members.

Now substitute the b value in any equation, and substitute in equation(2) we get the v value:

7v+7(33)=315

7v+231=315

7v=84

v=12

The total number of students in the van is 12 members.

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Let:

Rf = Remus frogs

Jf = Julias frogs

If Remus gives a half of his frogs to Julia, what will the ratio of Julia's frogs to Remus frogs be ? so:

Therefore, the ratio will be:

Answer:

e

Step-by-step explanation:

eeeeeeeeeeee1

The number of bacteria produced is a function of time in hours.

In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).

Based on the information provided above, we can reasonably infer and logically deduce that the bacteria's population increases with respect to time (number of hours).

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The measure of the shorter base is approximately 28.85.

To solve this problem, we need to use the fact that the line segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases and has a length equal to half the sum of the bases. Let's call the shorter base "x".

We know that the longer base is 97, so the sum of the bases is x + 97.

We also know that the line segment joining the midpoints of the diagonals has a length of 3. Since this line segment is parallel to the bases, it divides the trapezoid into two smaller trapezoids that are similar to the original trapezoid.

Using the similar triangles, we can set up the following equation:

3/x = (x + 97)/97

Cross-multiplying and simplifying, we get:

3*97 = x^2 + 97x

Multiplying out the right side and rearranging, we get:

x^2 + 97x - 291 = 0

Now we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac))/2a

Plugging in a=1, b=97, and c=-291, we get:

x = (-97 ± sqrt(97^2 - 4(1)(-291)))/2(1)

x = (-97 ± sqrt(9429))/2

x = (-97 ± 97)/2 or x = (-97 ± sqrt(9429))/2

Since we're looking for the shorter base, we can discard the negative solution:

x = (-97 + sqrt(9429))/2

x ≈ 28.85

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The number of full revolutions that Liz's front wheel completed is  16,037 full revolutions.

First, we need to find the circumference of the wheel. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. In this case, the radius of the wheel is 54 cm, so we can plug that into the formula:

C = 2π(54 cm) = 108π cm

Next, we need to convert the total distance traveled from kilometers to centimeters, so that we can divide by the circumference of the wheel in centimeters.

There are 100,000 centimeters in a kilometer, so we can multiply the distance traveled in kilometers by 100,000 to get the distance in centimeters:

54.82 km * 100,000 cm/km = 5,482,000 cm

Now we can divide the total distance traveled by the circumference of the wheel to find the number of full revolutions:

5,482,000c m / 108π cm = 16,037.35

So, Liz's front wheel completed approximately 16,037 full revolutions.

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False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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The product of 7/8 and 1/8 is 7/64. This can be obtained by multiplying the numerators together to get 7, and multiplying the denominators together to get 64.

To multiply two fractions, we simply multiply their numerators together and then multiply their denominators together. So, 7/8 x 1/8 would be

(7 x 1) / (8 x 8) = 7/64

Therefore, 7/8 x 1/8 equals 7/64.

In words, we can say that 7/8 represents 7 parts out of 8, while 1/8 represents 1 part out of 8.

To find the result of multiplying these fractions, we multiply the parts together: 7 x 1 = 7. Then, we multiply the total number of parts, which is

8 x 8 = 64.

So, the result is 7/64, which means that 7/8 x 1/8 represents 7 parts out of 64.

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The value of the expression is 1/(9x)^2

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

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

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Answer:

V = 0.375 units³

Step-by-step explanation:

The volume of a rectangular prism is V = lwh.

Where l is the length, w is the width, and h is the height.

Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.

V = lwh

V = (1)(¾)(½) units

V = (⅜) units

V = 0.375 units

Answer:

7/8

Step-by-step explanation:

A quadratic equation that has a GCF and none of the solutions is zero is 3x^2 + 6x + 9 = 0. The GCF is 3, and the solutions are complex numbers (-1 ± √2i), where i is the imaginary unit.

An example of a quadratic equation that has a greatest common factor (GCF) and none of the solutions is zero is:

4x^2 + 8x + 4 = 0

In this equation, the GCF is 4, which can be factored out:

4(x^2 + 2x + 1) = 0

Now, let's find the solutions of the equation by factoring:

4(x + 1)^2 = 0

Setting the factor equal to zero, we have:

x + 1 = 0

Solving for x, we find that the solution is:

x = -1

As we can see, the solution to the equation is not zero.

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Steps to solve:

7x - 6 = 5x + 18

~Add 6 to both sides

7x = 5x + 24

~Subtract 5x to both sides

2x = 24

~Divide 2 to both sides

x = 12

Best of Luck!

The sum of the measures of the exterior angles of any polygon, including a triangle, is always 360 degrees.

We have,

An exterior angle of a polygon is formed by extending one of its sides outward.

In the case of a triangle, when we extend each side, we create three exterior angles.

These exterior angles are located outside the triangle.

The key concept to understand is that the sum of the exterior angles of any polygon is always 360 degrees.

This property holds true for all polygons, regardless of their shape or size.

To visualize this, imagine starting at any vertex of a triangle and moving along its sides while measuring the exterior angles.

As you move around the triangle, the sum of the exterior angles will always add up to 360 degrees.

This is because, at each vertex, the exterior angle supplements the interior angle to form a straight angle of 180 degrees.

In a triangle, each interior angle measures less than 180 degrees.

So, when we extend each side to create the exterior angles, they collectively compensate for the deficiency of the interior angles, resulting in a sum of 360 degrees.

Therefore,

The sum of the measures of the exterior angles of a triangle is always 360 degrees.

This principle holds true for all polygons, making it a fundamental property of geometry.

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Answer: p = 70,000 kg m/s

Step-by-step explanation:

\(4a^4-8a^2+4=0\implies 4(a^4-2a^2+1)=0\implies a^4-2a^2+1=0 \\\\\\ (a^2)^2-2a^2+1=0\implies (a^2-1)(a^2-1)=0\implies a^2=1 \\\\\\ a=\pm\sqrt{1}\implies a=\pm 1\)

The balance in the account 10 years after Jakie stopped her monthly payments, with the interest compounding quarterly at a rate of 6.9% per year, is approximately R373,185.53.

To calculate the balance in the account 10 years after Jakie stopped her monthly payments, we need to consider two periods: the period when she was making monthly payments and the period after she stopped making payments.

During the period when she was making monthly payments, the interest was compounded monthly at a rate of 6.9% per year. We can use the formula for compound interest to calculate the future value of the monthly payments. Using the formula:

Future Value = Payment * [(1 + interest rate/compounding periods)^(compounding periods * number of years) - 1] / (interest rate/compounding periods)

Plugging in the values: Payment = R4,500 , Interest rate = 6.9% = 0.069, Compounding periods = 12 (monthly)

Future Value = R4,500 * [(1 + 0.069/12)^(12 * 4) - 1] / (0.069/12)

Future Value = R280,192.52

Now, we need to calculate the balance after 10 years when the compounding periods change to quarterly. We can use the same formula for compound interest, but with a different compounding period.

Future Value = Previous Balance * (1 + interest rate/compounding periods)^(compounding periods * number of years)

Plugging in the values: Previous Balance = R280,192.52, Interest rate = 6.9% = 0.069, Compounding periods = 4 (quarterly), Number of years = 10

Future Value = R280,192.52 * (1 + 0.069/4)^(4 * 10)

Future Value = R526,618.01. Therefore, the balance in the account 10 years after Jakie stopped her monthly payments is A. R373 185,53.

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The answers of the following questions are provided below with full solution respectively.

Coordinate geometry is a branch of mathematics that combines algebra and geometry.

It involves using algebraic equations to describe the positions and relationships between points in a geometric plane.

It is also known as analytic geometry.

a) To find the midpoint of AB, we can use the midpoint formula:

Midpoint = ( (x1+x2)/2, (y1+y2)/2 )

So, the midpoint of AB is:

Midpoint = ( (1+6)/2, (4+(-8))/2 )

= ( 3.5, -2 )

Therefore, the midpoint of AB is (3.5, -2).

b) To find the slope of AB, we can use the slope formula:

Slope = (y2-y1)/(x2-x1)

So, the slope of AB is:

Slope = (-8-4)/(6-1)

= -12/5

Therefore, the slope of AB is -12/5.

c) To find the length of AB, we can use the distance formula:

Distance = √[(x2-x1)² + (y2-y1)²]

So, the length of AB is:

Distance = √[(6-1)² + (-8-4)²]

= √[5² + (-12)²]

= √(169)

= 13

Therefore, the length of AB is 13.

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Using coordinate geometry, we can find the following:

AB's midpoint is: (3.5, -2)

The slope of AB is -12/5.

The length of AB is 13.

Algebra and coordinate geometry are combined in the field of mathematics known as coordinate geometry.

It includes describing the locations and connections between points in a geometric plane using algebraic equations.

Another name for it is analytical geometry.

We can apply the midpoint formula to determine AB's midpoint as follows:

\(Midpoint=\frac{(x_1+x_2)}{2} ,\frac{(y_1+y_2)}{2}\)

Therefore, AB's midpoint is:

Midpoint = ((1+6)/2, (4+(-8))/2)

= (3.5, -2)

Hence, the midpoint of AB is (3.5, -2).

We may use the slope formula to determine the slope of AB:

\(slope=\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}\)

So, the slope of AB is:

Slope = (-8-4)/ (6-1)

= -12/5

Hence, the slope of AB is -12/5.

We may use the distance formula to determine the length of AB:

\(Distance=\sqrt{[(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^2]}\)

So, the length of AB is:

Distance = √ [(6-1) ² + (-8-4) ²]

= √ [5² + (-12) ²]

= √ (169)

= 13

Therefore, the length of AB is 13.

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The simplify value of numeric expression, 3 + 2, after adding 3456 then subtracting 45 and then dividing by 20 is equals the 17.8.

We have an expression of numbers, 3 + 2 we have to apply some arithematic operations on it and determine the final simplfy value. Let the expression be x = 3 + 2, add 3456 in it

=> x = 3 + 2 + 3456

Substracts 45 from above expression

=> x = 3 + 2 + 3456 - 45

Dividing the above expression of x by 20

=>

\(\frac{ x } {20} = \frac{ 3 + 2 + 3456 - 45}{20}\)

\(= \frac{3416}{20}\)

= 17.8

Hence, required simplify value is 17.8.

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Answer:

It's in the 3rd collum

Step-by-step explanation:

Step-by-step explanation:

Go over to two on the x axis they go up to five to plot (2,5 ). To plot (2,-7) go over to the the two then go up to -7.

The correct option is a) $5161.24

To evaluate the expression P(1+rt) with the given values:

P = 1575

r = 0.055

t = 168/365

First, let's calculate rt:

rt = 0.055 * (168/365)

= 0.0252836 (rounded to 7 decimal places)

Now, substitute the values into the expression P(1+rt):

P(1+rt) = 1575 * (1 + 0.0252836)

= 1575 * 1.0252836

= 1615.85846 (rounded to 5 decimal places)

The result is approximately $1615.86.

Therefore, the correct option is a) $5161.24

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The ratio of water to lemon juice is 7:1. Thus, 7 cups of water are needed for 1 cup of lemon juice.

The table shows the proportional relationship between the amount of water and lemon juice needed to make lemonade in different quantities. The ratio of cups of water to cups of lemon juice remains constant for each quantity of lemonade. For example, to make 2 cups of lemonade, 1.5 cups of water are needed for every 1 cup of lemon juice. This means that if you want to make 4 cups of lemonade, you would need to double the amount of water and lemon juice required for 2 cups. This proportional relationship can be helpful in scaling the recipe up or down to make different quantities of lemonade.

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Complete question:

A drink recipe book has a table that shows the proportional relationship between cups of water and cups of lemon juice for different amounts of lemonade. If you need 6 cups of lemonade, the table shows you need 1 cup of lemon juice. Enter the number of cups of water needed for 1 cup of lemon juice.

Cups of Lemon Juice Cups of Water

1                                4

2                               8

3                               12

4                               16