find the difference
3/4-2/5 ​

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The transaction fee of 186,00 would not be enough to determine the amount withdrawn, as different banks have different transaction fees, and they may charge different fees for different amounts withdrawn or for different types of accounts.

Additionally, the currency of the transaction is not specified, which is essential to perform any calculations. The country's imports and exports of products and services, payments to foreign investors, and transfers like foreign aid are all reflected in the current account.

A positive current account indicates that the nation is a net exporter of goods and services, whereas a negative current account indicates that the country is a net importer of goods and services. Whether positive or negative, a country's current account balance will be equal to but the opposite of its capital account balance.

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Answer:

V = 108

Step-by-step explanation:

B = 9 x 4 = 36 Height of Triangular prism is 3 so 36 x 3 = 108

The total number of cookies baked during the week if a bakery baked 1,244 trays of 26 chocolate chip cookies and also 694 trays of 19 sugar cookies are 336530.

To calculate the total number of cookies we have to find the number of chocolate chip and sugar cookies.

The total number of chocolate cookies is given by the product of the number of cookies in a tray and the number of trays.

Trays of chocolate chip cookies = 1244

Number of chocolate chip cookies per tray = 26

Total number of chocolate chip cookies = 1244 * 26

= 32344

Similarly, the total number of sugar cookies is given by the product of the number of cookies in a tray and the number of trays.

Trays of sugar cookies = 694

Number of sugar cookies per tray = 19

Total number of chocolate chip cookies = 694 * 19

= 13186

Total number of cookies = total number of chocolate chip cookies + sugar cookies

= 32344 + 13186

=336530

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The installment price of the recliner bought on the installment plan with a down payment of $ 90 and six payments of $ 107.72 is $736.32.

The installment price of the recliner, we need to calculate the total amount paid over the installment plan, including the down payment and the six payments.

Down payment: $90

Six payments: $107.72 each

Total amount paid = Down payment + (Number of payments × Payment amount)

Total amount paid = $90 + (6 × $107.72)

Total amount paid = $90 + $646.32

Total amount paid = $736.32

Therefore, the installment price of the recliner is $736.32.

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Answer:

4 3/7

Step-by-step explanation:

Divide 31 by 7 to the closest whole number. 28/7 is 4 and you have 3/7 left, so you get 4 3/7

Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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The initial amount invested is  $2.88.

The formula that can be used to determine the initial amount invested is:

P = FV ÷ (1 + r)^n

Where:

8500 ÷ (1 + 0.00274)^2920

= 8500 ÷ (1.00274^2920) = $2.88

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The correct option is D. 100. The jet engine is 100 times more intense than the rock concert.

The decibel scale is logarithmic, which means that every increase of 10 decibels represents a tenfold increase in sound intensity. To determine how many times more intense the jet engine (140 decibels) is compared to the rock concert (120 decibels), we need to calculate the difference in decibels and then convert it into intensity ratios.

The difference in decibels is 140 - 120 = 20 decibels. Since every 10 decibels represent a tenfold increase in intensity, a 20-decibel difference corresponds to a 100-fold increase in intensity. Therefore, the jet engine is 100 times more intense than the rock concert.

Among the options provided: A. 20 (not correct), B. 2 (not correct), C. 1/100 (not correct), D. 100 (correct). The correct option is D. 100.

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The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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a) The set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.

To find the set of values of k for which the line and curve meet at two distinct points, we need to solve the equation:

x^2 - kx + 2 = 3kx - 2k

Rearranging, we get:

x^2 - (3k + k)x + 2k + 2 = 0

For the line and curve to meet at two distinct points, this equation must have two distinct real roots. This means that the discriminant of the quadratic equation must be greater than zero:

(3k + k)^2 - 4(2k + 2) > 0

Simplifying, we get:

5k^2 - 8k - 8 > 0

Using the quadratic formula, we can find the roots of this inequality:

\(k < (-(-8) - \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = -2/5\\ or\\ k > (-(-8)) + \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = 2\)

Therefore, the set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.

b) To find the two values of k for which the line is a tangent to the curve, we need to find the values of k for which the line is parallel to the tangent to the curve at the point of intersection. For m to be the slope of the tangent at the point of intersection, we need to have:

2x - 4 = m

3k = m

Substituting the first equation into the second, we get:

3k = 2x - 4

Solving for x, we get:

x = (3/2)k + (2/3)

Substituting this value of x into the equation of the curve, we get:

y = ((3/2)k + (2/3))^2 - k((3/2)k + (2/3)) + 2

Simplifying, we get:

y = (9/4)k^2 + (8/9) - (5/3)k

For this equation to have a double root, the discriminant must be zero:

(-5/3)^2 - 4(9/4)(8/9) = 0

Simplifying, we get:

25/9 - 8/3 = 0

Therefore, the constant term is 8/3. Solving for k, we get:

(9/4)k^2 - (5/3)k + 8/3 = 0

Using the quadratic formula, we get:

\(k = (-(-5/3) ± \sqrt{((-5/3)^2 - 4(9/4)(8/3)))} / (2(9/4)) = -1/3 \\or \\k= 4/3\)

Therefore, the two values of k for which the line is a tangent to the curve are k = -1/3 and k = 4/3. To show that the two tangents meet on the x-axis, we can find the x-coordinate of the point of intersection:

For k = -1/3, the x-coordinate is x = (3/2)(-1/3) + (2/3) = 1

For k = 4/3, the x-coordinate is x = (3/2)(4/3) + (2/3) = 3

Therefore, the two tangents meet on the x-axis at x = 2.

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Answer:

Step-by-step explanation:

woldnt you just find what r equals what ever it equals you ad then do the same thing to the otther side and then  you would just dived what equals

Answer:

the answer would be 178$

Step-by-step explanation:

find out the rest

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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what is the question your trying to find, if you could repile to this so I can try to figure it out. (I'll be heading off soon)

The amount each friend owes after the dinner is $1.41.

The first step is to determine the total cost of the dinner. The total cost includes the cost of the dinner, tip and tax.

Total cost = cost of the dinner + tax + tip

Tax = cost of the meal x percentage tax

Tax = $114.46 x 5%

Tax = $114.46 x 0.05 = $5.723

Tip = percentage tip x cost of the diner

Tip = 18% x $114.46

Tip = 0.18 x $114.46

Tip = $20.60

Total cost = $114.46 + $20.60 + $5.72 = $140.78

Amount each person owes = total cost of the meal / number of people

Amount each person owes =  $140.78 / 10 = $1.41

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The set of polynomials is not closed under division.

A set is said to be closed under an operation if the result of that operation on elements of the set is always an element of the set. For example, the set of natural numbers is closed under addition because the sum of two natural numbers is always a natural number.

In the case of polynomials, the set of polynomials is closed under addition, subtraction, and multiplication. This means that if you have two polynomials, you can add, subtract, or multiply them and the result will be another polynomial.

However, when it comes to division, the set of polynomials is not closed. When you divide two polynomials, the result is not always a polynomial. The result can be a polynomial plus some remainder. For example, dividing x^2 + 2x + 1 by x + 1 will give you x + 1 with a remainder of 1.

Therefore, the set of polynomials is not closed under division because the result of dividing two polynomials is not always a polynomial.

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Answer: ok i kown

Step-by-step explanation:

i kown

Step-by-step explanation:

\(( - \frac{3}{5} ) \times ( - 15) = \\ = \frac{3}{5} \times 15 = \\ = 3 \times 3 = 9\)

Add the measurements to the drawing. Angle JEF and angle JFE both measure x degrees, while angle JED measures 180 - x degrees.

To find the measure of the base angles JEF and JFE in a trapezoid, we need to consider the fact that the opposite angles of a trapezoid are supplementary, meaning they add up to 180 degrees.

Since the trapezoid has two pairs of opposite angles, we can apply this property to solve for the base angles. Let's assume angle JEF measures x degrees. Since angle JEF is opposite to angle JFE, the measure of angle JFE is also x degrees.

Now, let's consider the other pair of opposite angles. Since the sum of the measures of the opposite angles is 180 degrees, the measure of angle JEF plus the measure of angle JED equals 180 degrees. Since angle JEF measures x degrees, we can set up the equation: x + JED = 180.

The given question is half of part , the full answer for the question is below.

To find the measure of JED, we subtract x from both sides: JED = 180 - x. Finally, we can add the measurements to the drawing. Angle JEF and angle JFE both measure x degrees, while angle JED measures 180 - x degrees.

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Answer:

?????

Step-by-step explanation:

Step-by-step explanation:

it's a right angled triangle

B. acute

C. scalene ( as all sides are different)

E. right

Answer:

1522km^2

Step-by-step explanation:

To solve this, first convert the percentage to a decimal. That would be .0475.

Now subtract that from 1.0 to get the factor it decreases by. This would be 1-.0475 = .9525

Multiply 2600 x (.9525)^11 = 1522.258 which rounds to 1522 km^2

Answer:

The area will be 1292.98 km² after 11 years.

Step-by-step explanation:

To find what decreases by 4.57% each year in kilometers:

2600 × 4.57/100 = 26 × 4.57

= 118.82 km²

To find the area after 11 years:

118.82 × 11 = 1307.02

2600 - 1307.02 = 1292.98 km²

1292.98 km² is the answer.

Answer:

100/x/100

Step-by-step explanation:

Step-by-step explanation:

Using Stokes's Theorem, the evaluation of F · dr can be obtained by integrating the curl of F over the surface S. The given vector field is F(x, y, z) = \(zx^{2}i + 2xj + y^{2}k\), and the surface S is defined by the equation

z = 1 - \(x^{2} -y^{2}\), where z > 0 and C is oriented counterclockwise .

By computing the curl of F, we find ∇ × F = (2 - 2y)i - 2xj + (2z)k. To evaluate the double integral of ∇ × F · dS, where dS represents the differential area element on the surface S.

To parameterize the surface S, use the cylindrical coordinates. Let x = r cosθ, y = r sinθ, and z = 1 - \(r^{2}\). The normal vector to the surface is given by N = (∂z/∂r)i + (∂z/∂θ)j - rk, which simplifies to -2ri - \(r^{2}\) sinθj - rk.

Now, we can evaluate the integral by substituting the parameterization and the normal vector into the surface integral formula. The integral becomes ∫∫(∇ × F) · N dA

= ∫∫((2 - 2r sinθ)(-2r) - 2r(1 - \(r^{2}\)) - r(2r))r dr dθ   over the appropriate region.

After evaluating this double integral, we obtain the result of F · dr using Stokes's Theorem over the given surface S.

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Answer:

The lesser integer is 3.

Step-by-step explanation:

Let the integer be x.

2(x+1) - x =5

or, 2x + 2 - x = 5

or , x = 5 - 2

so, x = 3

Answer:

4

Step-by-step explanation:

here's your solution

=> 5m - 8 > 12

=> 5m > 12 + 8

=> 5m > 20

=> m > 20/5

=> m > 4

hope it helps

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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The zeros of the polynomial are: x1 = [3√3 + √147]/4 and x2 = [3√3 - √147]/4

In mathematics, a polynomial is an expression consisting of variables and coefficients, combined using the operations of addition, subtraction, and multiplication, but not division by variables. The variables usually represent numbers, but can also represent other mathematical objects such as matrices, functions, or geometrical shapes. The coefficients are usually real or complex numbers, but can also be integers, rational numbers, or elements of other algebraic structures.

To find the zeros of the given polynomial, we need to solve the quadratic equation:

2x² - 3√3x - 15 = 0

We can solve this by using the quadratic formula:

x = [-b ± √(b² - 4ac)]/2a

Here, a = 2, b = -3√3, and c = -15. Substituting these values, we get:

x = [-(-3√3) ± √((-3√3)² - 4(2)(-15))]/(2(2))

x = [3√3 ± √(27 + 120)]/4

x = [3√3 ± √147]/4

Therefore, the zeros of the polynomial are:

x1 = [3√3 + √147]/4

x2 = [3√3 - √147]/4

To verify the relationship between the zeros and coefficients of the polynomial, we can use Vieta's formulas:

The sum of the zeros of a quadratic equation is equal to -b/a.

The product of the zeros of a quadratic equation is equal to c/a.

Here, the sum of the zeros is:

x1 + x2 = [3√3 + √147]/4 + [3√3 - √147]/4

= (6/4)√3/2

= (3/2)√3

The product of the zeros is:

x1x2 = ([3√3 + √147]/4) ([3√3 - √147]/4)

= [27 - 147]/16

= -3

Now, we can compare these values with the coefficients of the given polynomial:

2x² - 3√3x - 15 = 0

Here, a = 2, b = -3√3, and c = -15. We can see that:

-b/a = 3√3/2, which is equal to the sum of the zeros.

c/a = -15/2, which is equal to the negative of the product of the zeros.

Therefore, we have verified the relationship between the zeros and coefficients of the polynomial.

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