the sum of three consecutive odd numbers is 57. Find the product of the numbers. ​

Answer:

rational: √(42)/√(168), √(64)/32, (5√(3)-√(3))/(2√(3))

irrational: 2√(5)-3√(6), √(5)(4√(5-3√5))), √(7)π-√(14)π

Step-by-step explanation:

You can use calculater to find them.

If it can form fraction, then it is rational.

Answer:

19.6349540849

Step-by-step explanation:

π × 2.5^2 = 19.6349540849

The margin of error will be larger for a 99% confidence interval than for a 95% confidence interval, assuming the same sample size and level of variability in the data.

The margin of error is the range of values above and below the point estimate within which the true population parameter is likely to fall.

A higher level of confidence requires a larger margin of error. This is because as the level of confidence increases, the range of values that contains the true population parameter becomes wider.

For example, a 95% confidence interval has a margin of error of plus or minus two standard errors of the point estimate.

Increasing the confidence level to 99% would require a wider range of values, and therefore a larger margin of error, such as plus or minus three standard errors of the point estimate.

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Answer:

25.5

Step-by-step explanation:

first find the area od the rectangle than the triangle.

to find the area count the number of squares and use A=b*h

than do the same for the triangle using A=.5*b*h

15=3*5

10.5=.5*3*7

10.5+15=25.5

Answer:

400000000 dollar

Step-by-step explanation:

because why not

Answer:

Both gyms charge the same after 2 months and LA fitness has a greater initial fee.

Answer:

im not sure but i think 66

Step-by-step explanation:

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: 92 - 39 = 53

Total number of people surveyed that read print be 54.

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified.

When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%. To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.

Total number of youths surveyed

= total number of those surveyed - total number of youths surveyed

=  119 - 64 = 55

Total number of youths that read electronic books 55 - 23 = 32

Total number of adults that read electronic books = 65 - 32 = 33

Total number of adults that read prints = 64 - 33 = 31

Total number of people surveyed that read print = 119 - 65 or 23 + 31 = 54

The complete question is:

A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books.

23 youths said they preferred reading books printed on paper.

64 adults were surveyed.

65 total people said they preferred reading electronic books

119 total people were surveyed.

Fill in the missing values in the table below.

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Answer:

-10

Step-by-step explanation:

Combine the terms. When there are two terms attached by parenthesis, you multiply:

(-5)2 = -5 * 2

Note that when you multiply a negative term with a positive term, your answer will be negative:

-5 * 2 = -10

-10 is your answer.

~

Answer:

Step-by-step explanation:

\((-5)2\)

Multiply the numbers

\(-5\times 2\\= -10\)

John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.

To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.

The present value of an annuity formula is given by:

P = A * [(1 - (1 + r)^(-n)) / r],

where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:

196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].

Simplifying the expression inside the brackets:

196,000 = A * (1 - 0.469091).

196,000 = A * 0.530909.

Dividing both sides by 0.530909:

A = 196,000 / 0.530909.

A ≈ 369,238.68.

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Answer:

mean is 3 median is 3 and mode is also 3

Step-by-step explanation:

brainliest helps

Answer:

Interest = $60.75

Amount = $510.75

Step-by-step explanation:

The formula for finding interest is;

Interest = Principal * Rate * Time

And here;

Principal = $450

Rate = 41/2% or 4.5%

Time = 3 years

Interest = \(\frac{450 * 45 * 3}{1000}\)

Divided by 100 because of the percentage of the rate but here I made it 1000 because I moved the decimal point in the 4.5 forward once which means I have to add 0 to the denominator.

              = \(\frac{45*45*3}{100}\)

             = \(\frac{6075}{100}\)

            = $60.75

Now the amount is simply the Principal + Interest which will be;

= $450 + $60.75

= $510.75

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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The x-axis and y-axis are two parallel number lines that meet at (0, 0) to form the shape of the letter t.

Geometric objects and mathematical equations are represented on the coordinate plane, a two-dimensional graph. It is made up of the x-axis and y-axis, two parallel number lines that meet at the starting point (0, 0). The horizontal coordinate is represented by the x-axis, while the vertical coordinate is represented by the y-axis. They combine to create the Cartesian coordinate system.

Positive numbers are labelled to the right of the origin and negative values are labelled to the left of the origin on the x-axis. Positive numbers are written above the origin of the y-axis, and negative numbers are written below it. An ordered pair (x, y), where x denotes the horizontal coordinate and y denotes the vertical coordinate, is used to represent each point on the coordinate plane.

For graphing linear equations, quadratic equations, and other functions, the coordinate plane is a helpful tool. Additionally, it is employed to depict geometric forms like polygons, circles, and lines. The distance between two points, the slope of a line, and other significant features of mathematical objects can be calculated by graphing points on the coordinate plane. With applications in physics, engineering, economics, and computer science, the coordinate plane is a fundamental idea in mathematics.

The graph is shown below when y=1.

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Graph attached below,

The coordinates of the plane is

x       y

1       -3.5

2      -3

4      -2

6      -1.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the given equation is y = \(\frac{1}{2}x-4\).

Now put x= 1 then y = \(\frac{1}{2}\times1-4 =\frac{1-8}{2}=\frac{-7}{2}=-3.5\)

Now put x=2 then \(y=\frac{1}{2}\times2-4=1-4=-3\)

Now put x=4 then \(y=\frac{1}{2}\times4-4=2-4=-2\)

Now put x=6 then \(y=\frac{1}{2}\times6-4=3-4=-1\)

Then coordinates of the plane is

x       y

1       -3.5

2      -3

4      -2

6      -1.

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Answer:

g(1)

Step-by-step explanation:

The y intersect is 2

y=x+2

Answer:

The rate of g(x) is 1

Step-by-step explanation:

Rate could also mean the slope.

Get two points from the graph:

(0,2) and (2,4)

m = (Y_2 - Y_1)/(X_2-X_1)

m = (4-2)/(2-0)

m = 2/2

m = 1

Answer:

Step-by-step explanation:

If m and n are both 1 then

Minimum value = 10^(1+1) * 3^(1-1) * 225

= 325.

If m and n have to be different, then m = 2 and n = 1

Minimum value = 10^3 * 3^1 * 15^2

= 675,000.

Answer:

y = 5x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 5x + y = 2 ( add 5x to both sides )

y = 5x + 2 ← in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + c ← is the partial equation

To find c substitute (- 2, 1) into the partial equation

1 = - 10 + c ⇒ c = 1 + 10 = 11

y = 5x + 11 ← equation of parallel line

Answer:

1. Distribute

2. Combine like terms

3. Get all variable on one side and everything else on the other (Inverse operations: Add / subtract)

4. Solve for one of your variables (inverse operation: Multiple / Division

5. Simplify

Answer:

c. 16

Step-by-step explanation:

8(16)+12=140

Answer:

\(w = 16\)

Step-by-step explanation:

\(1. \: 8w = 140 - 12 \\ 2. \: 8w = 128 \\ 3. \: w = \frac{128}{8} \\ 4. \: w = 16\)

No, p(x=5) = f(5) = 1/10 is not correct.

If x is a continuous random variable on the interval [0, 10], then the probability of x taking on any specific value (such as 5) is zero.

This is because there are infinitely many possible values that x can take on within the interval, and the probability of x taking on any one specific value is vanishingly small.

Instead, the probability of x falling within a certain range of values is what is meaningful.

This is typically represented by the probability density function (PDF) of the random variable, denoted as f(x). The probability of x falling within a range [a, b] is then given by the integral of the PDF over that range:

P(a <= x <= b) = integral from a to b of f(x) dx

For a continuous uniform distribution over the interval [0, 10], the PDF is a constant function:

f(x) = 1/10 for 0 <= x <= 10

f(x) = 0 otherwise

Using this PDF, we can find the probability of x falling within a specific range, but the probability of x taking on any one specific value is always zero:

P(x = 5) = 0

So, the statement "p(x=5) = f(5) = 1/10" is not correct for a continuous random variable.

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By solving a linear equation, we can see that the deep of the layer will be 6.37 ft.

For a cylinder of radius R and deep D, the volume is:

V = pi*R^2*D

Where pi = 3.14

In this case, we know that the diameter is 3 ft, so the radius is:

R = 3ft/2 = 1.5ft

And the volume of dirt used is 45 cubic feet, then the deep D must be a solution of the following linear equation:

45 ft^3 = 3.14*(1.5ft)^2*D

Solving this for D, we get:

(45 ft^3)/(3.14*(1.5ft)^2) = D

6.37 ft = D

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Answer: The sum of the exterior angles of any polygon is 360 degrees.

The measure of one exterior angle of a regular polygon with n sides is given by the formula:

360/n

For a polygon with 26 sides, the measure of one exterior angle is:

360/26 = 13.8 degrees (rounded to one decimal place)

Step-by-step explanation:

The likelihood of each utility function representing actual investor preferences varies based on different factors such as risk aversion, wealth accumulation, and personal preferences.

Utility function (a) U(W) = \(W^2\) represents a preference for increasing wealth at an increasing rate, indicating risk aversion and a desire for wealth accumulation. This is a commonly observed preference among investors.

Utility function (b) U(W) = 1/W represents a preference for wealth preservation and risk aversion. It implies that the marginal utility of wealth decreases as wealth increases, which aligns with the concept of diminishing marginal utility.

Utility function (c) U(W) = -W represents a preference for taking on risk and potentially incurring losses. This utility function implies a risk-seeking behavior, which is less common among investors who typically aim to maximize their wealth.

Utility function (d) U(W) = W represents a preference for increasing wealth linearly. This utility function suggests a risk-neutral attitude where investors are indifferent to risk and aim to maximize their wealth without considering risk factors.

Utility function (e) U(W) = ln(W) represents a preference for wealth accumulation, but with a decreasing marginal utility. This logarithmic utility function reflects risk aversion and diminishing sensitivity to changes in wealth.

Utility function (f) U(W) = \(W^(1-γ)\)/(1-γ), with γ = 2, represents risk-neutral behavior. However, the likelihood of this utility function representing actual investor preferences depends on the specific value of γ chosen. If γ is different from 2, it may represent risk aversion or risk-seeking behavior.

Overall, utility functions (a), (b), (d), and (e) are more likely to align with actual investor preferences due to their consistency with risk aversion and wealth accumulation. Utility function (c) represents a less common risk-seeking behavior, and utility function (f) depends on the chosen value of γ, making it less likely to represent typical investor preferences.

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Answer:

\(\frac{5}{1}\)

Step-by-step explanation:

45 : 9

= \(\frac{45}{9}\) ← divide numerator and denominator by 9 )

= \(\frac{5}{1}\) ← in simplest form

Answer:

4

Step-by-step explanation:

3x² + 2x - 4

3(-2)² + 2(-2) - 4

3(4) - 4 - 4

12 - 4 - 4

12 - 8

= 4

The cost of each printer is $568.

To find the cost of each printer, we need to use a system of equations.

Let's call the cost of each printer "p" and the cost of each camera "c".

The first equation we can create is: 6p + 3c = 4773

The second equation we can create is: 4p + 6c = 5002

Now we can use the elimination method to solve for one of the variables.

Let's eliminate the "c" variable by multiplying the first equation by -2: -12p - 6c = -9546

And then add the two equations together: -8p = -4544

Now we can solve for "p" by dividing both sides by -8: p = 568

So the cost of each printer is $568.

To find the cost of each camera, we can plug the value of "p" back into one of the original equations and solve for "c":

6(568) + 3c = 4773

3408 + 3c = 4773

3c = 1365

c = 455

So the cost of each camera is $455.

Therefore, the cost of each printer is $568 and the cost of each camera is $455.

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Answer:

11 ft

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is

A = L * W.  

Represent the length, L, by 2W + 1 ("1 more than twice the width").  Then the area formula (above) becomes:

A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:

2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}.  Let's use the quadratic formula to solve this for W:

The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441.  The square root of 441 is 21.  Thus, the quadratic formula gives us:

        -1 ± 21

W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2

            2(2)

A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.

Then, according to the formula for L that we found earlier, L  = 2W + 1, or

L = 2(5) + 1, or L = 11.

Check:  Does L * W result in an area of 55 ft²?  Yes

The length dimension of the rectangle is 11 ft