How large a sample should be taken if the population mean is to be estimated with 99% confidence to within $73? The population has a standard deviation of $901. (Round your answer up to the next whole number.) x

Answer:

Step-by-step explanation:

2y = -3x - 4

y = -3/2x - 2

perp.:2/3

y - 0 = 2/3(x + 6)

y = 2/3x + 4

Given:

The system of equations is

\(y=-\dfrac{5}{2}x-3\)

\(x-y=-4\)

To find:

The graph of the given system of equations and its solution.

Solution:

The table of values for \(y=-\dfrac{5}{2}x-3\) is

x        y

-4       7

-2       2

0      -3

Plot these points and connect them by a straight line.

The table of values for \(x-y=-4\) is

x          y

-4         0

-2         2

0         4

Plot these points and connect them by a straight line.

From the below graph it is clear that the lines intersect each other at point (-2,2).

Therefore, the solution of given system of equation is (-2,2).

Answer:

Its 66 i just did a 50 question quiz and got it right

Step-by-step explanation:

The probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

µ = p

The standard deviation of this sampling distribution of sample proportion is:

σ = √p(1-p)/n

The information provided is:

p = 0.14

n = 41

As the sample size is large, i.e n = 411 > 30. the central limit theorem can be used to approximate the sampling distribution of sampling proportion.

Compute the values of P(p^ - p >0.04) as follows:

P(p^ - p < 0.04) = P(p^-p/σ > 0.04/√0.14(1-0.14)/411

= P(Z>2.33)

= 0.990

Thus the probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990

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Gerald is scheduled to be in class for 45/93 of the time from 8:00 a.m. to 2:15 p.m. on Thursday.

To determine the fraction of time Gerald is scheduled to be in class, calculation of the duration of his class and divide it by the total duration from 8:00 a.m. to 2:15 p.m.

Step 1: Calculate the duration of Gerald's class:

The class starts at 8:30 a.m. and ends at 12:00 p.m. To find the duration, we subtract the start time from the end time:

12:00 p.m. - 8:30 a.m. = 3 hours and 30 minutes.

Step 2: Calculate the total duration from 8:00 a.m. to 2:15 p.m.:

To find the duration, we subtract the start time from the end time:

2:15 p.m. - 8:00 a.m. = 6 hours and 15 minutes.

Step 3: Calculate the fraction of time Gerald is scheduled to be in class:

To find the fraction, we divide the duration of Gerald's class by the total duration:

3 hours and 30 minutes / 6 hours and 15 minutes = 210 minutes / 375 minutes.

To simplify the fraction,  divide both the numerator and denominator by their greatest common divisor, which is 15:

210 minutes ÷ 15 / 375 minutes ÷ 15 = 14 / 25.

Therefore, Gerald is scheduled to be in class for 14/25 of the time from 8:00 a.m. to 2:15 p.m. on Thursday.

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If positive integer x has 3 prime factors and 8 total factors, then (n+1)^3 total factors will x^n have where n is a positive integer

      In the question given that positive integer x has 3 prime factors and 8 total factors

      To find How many total factors will x^n have where n is a positive integer

The formula used the total number of factors of a positive integer

            x = (a+1) (b+1) (c+1)…  where a, b, c are prime factors of x.

Substituting the values from the given information:

          x = p*q*r (where p, q, and r are prime numbers)

     Total number of factors of  x = (1+1) (1+1) (1+1)

      A total number of factors of  x = 2 * 2 * 2

     The total number of factors of x = 8

If x has 3 prime factors, then the other factor could be 1x = p*q*rx^1

                                                                                               = p*q*r(1+1) (1+1) (1+1)

                                                                                               = 8

      factors  x^2 = p^2*q^2*r^2(2+1) (2+1) (2+1) = 27

      factors  x^3 = p^3*q^3*r^3(3+1) (3+1) (3+1) = 64

      factors x^n = p^n*q^n*r^n(n+1) (n+1) (n+1)

     Number of factors = (n+1)^3

              Hence the number of factors in x^n is (n+1)^3.

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Answer:

x = 18

Step-by-step explanation:

We Know

(10x - 4) + (x - 14) must equal 180°

Find the value of x.

Let's solve

10x - 4 + x - 14 = 180

11x - 18 = 180

11x = 198

x = 18

So, x = 18 is the answer.

A firm should record an impairment in the value of property, plant, or equipment by reducing the carrying amount of the asset and recognizing the impairment loss as an expense in the financial statements.

When the value of property, plant, or equipment is impaired, meaning its recoverable amount is lower than its carrying amount, a firm should recognize this impairment in its financial statements. The impairment is recorded by reducing the carrying amount of the asset to its recoverable amount, which is the higher of its fair value less costs to sell or its value in use. The difference between the carrying amount and the recoverable amount is recognized as an impairment loss and recorded as an expense in the income statement. This adjustment reflects the decrease in the value of the asset and allows the firm to accurately report its financial position and performance.

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Answer: The equation of the line that passes through the point (1, 3) and is parallel to the line 2x - y = 4 is y = 2x - 1.

Step-by-step explanation:

To find the equation of the line that is parallel to 2x - y = 4 and passes through the point (1, 3), we first need to find the slope of the given line. We can rearrange the equation of the line into slope-intercept form y = mx + b, where m is the slope and b is the y-intercept:

2x - y = 4

-y = -2x + 4

y = 2x - 4

Therefore, the slope of the given line is 2.

Since we want to find the equation of a line that is parallel to this line, it will have the same slope of 2. We can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is the given point (1, 3) and m is the slope of the line, which is 2. Substituting these values, we get:

y - 3 = 2(x - 1)

Expanding and simplifying, we get:

y = 2x - 1

Therefore, the equation of the line that passes through the point (1, 3) and is parallel to the line 2x - y = 4 is y = 2x - 1.

Answer:

True.

Explanation:

When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)

the distance is √65  or 8.062258

Answer:  √65

Step-by-step explanation:------------------

Answer:

his tank can hold 24 gallons

Step-by-step explanation:

5/6 - 1/2 = 2/6 2/6 of tank = 8 gallons So, tank can hold 24 gallons.

Answer:

p(4)=3

Step-by-step explanation:

p(4)=3(4)-9=12-9=3

The perm pattern that includes a central rectangle and two sections at each side is the contour pattern.

The contour pattern in a perm involves dividing the hair into three sections, with a rectangular section in the center and two additional sections on each side. The hair is then wrapped around perm rods in a pattern that follows the contour of the head. This pattern is often used to create natural-looking waves or curls.

The other patterns listed - rectangle pattern, spiral bricklay pattern, and alternating oblong pattern - are not typically used in perming hair.

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Answer:

3:4 is the answer by dividing 15 and 20

Answer:

3:4

Step-by-step explanation:

15/20 reduced as much as possible is 3:4

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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The shaded region is made up of the area of a rectangle minus the areas of the semicircles. The semicircles have a diameter of 2 inches, so the radius of each semicircle is 1 inch.

The area of each semicircle can be found using the formula pir^2, where r is the radius. So the area of each semicircle is pi1^2 = pi square inches.

The area of the rectangle is found by multiplying the length by the width: 1 foot * 12 inches/feet = 12 square inches.

The shaded region is the area of the rectangle minus the area of the semicircles. So the area of the shaded region is 12 square inches - 2* pi square inches = 12 - 2* pi square inches.

It's important to note that the length of the shaded region is given in feet (1-foot) but the area of the semicircles and the rectangle is given in square inches.

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The parametric equations for the line of intersection of the planes 4x - 3y + z = 1 and 3x + y - 4z = 4 are:

x = (208 + 70t) / 52

y = (13 + 19t) / 13

z = t

To find the parametric equations for the line of intersection of the planes 4x - 3y + z = 1 and 3x + y - 4z = 4, we can solve these two equations simultaneously.

Step 1: Set up a system of equations:

4x - 3y + z = 1

3x + y - 4z = 4

Step 2: Solve the system of equations to find the values of x, y, and z. One way to solve the system is by using the method of elimination:

Multiply the first equation by 3 and the second equation by 4 to eliminate the y term:

12x - 9y + 3z = 3

12x + 4y - 16z = 16

Subtract the first equation from the second equation:

12x + 4y - 16z - (12x - 9y + 3z) = 16 - 3

12x + 4y - 16z - 12x + 9y - 3z = 13y - 19z = 13

Step 3: Express y and z in terms of a parameter, let's call it t:

13y - 19z = 13

y = (13 + 19z) / 13

We can take z as the parameter t:

z = t

Substituting the value of z in terms of t into the equation for y:

y = (13 + 19t) / 13

Step 4: Express x in terms of t:

From the first equation of the original system:

4x - 3y + z = 1

4x - 3((13 + 19t) / 13) + t = 1

4x - (39 + 57t) / 13 + t = 1

4x - (39 + 57t + 13t) / 13 = 1

4x - (39 + 70t) / 13 = 1

4x = (39 + 70t) / 13 + 1

x = ((39 + 70t) / 13 + 13) / 4

x = (39 + 70t + 169) / 52

x = (208 + 70t) / 52

Therefore, the parametric equations for the line of intersection of the planes 4x - 3y + z = 1 and 3x + y - 4z = 4 are:

x = (208 + 70t) / 52

y = (13 + 19t) / 13

z = t

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Answer:

49=5x+14

Step-by-step explanation:

Answer:http://avconline.avc.edu/jdisbrow/ma115/Practice%20Test%203%20with%20answers.pdf

Step-by-step explanation:

you welcome

Answer: Um

Step-by-step explanation:

The confidence interval for the meannumber of dresses purchased each year is (7.2,7.4).

Given sample mean of 7.3 and sample standard deviation of 1.4 and confidence interval of 95%.

We have to find confidence interval for the mean number of dresses purchased each year.

Because the sample size is more than 30 so z test test will be used.

Margin of error is the difference in real values and calculated values.

Margin of error=z*σ/\(\sqrt{n}\)

where zis the criticalvalue of confidence level.

σ is sample standard deviation,

n is sample size.

z value for 95% confidence level=1.96

Margin of error=1.96*1.4/\(\sqrt{523}\)

=2.744/22.869

=0.12

Upper level= Mean + margin of error

=7.3+0.12

=7.42

Rounding off

=7.4

Lower level=Mean - margin of error

=7.3-0.12

=7.18

Rounding

=7.1

Hence the confidence interval is (7.1,7.4).

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Answer:

B- 24.413

Step-by-step explanation:

3.3*3.15=10.395

10.395/2=5.1975

To find the right side of the bottom triangle- 6.3-3.15=3.15

3.15*3=9.45

9.45/2=4.725

4.6*3.15=14.49

Adding all the areas

14.49+4.725+5.1975=24.4125

24.4125 rounded is 24.413

Answer:

See attached image.

Step-by-step explanation:

The image does not show the graph options.  The attachment sjhhows the graph of y < - 1/3 x + 1.

Answer:

2

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

I graphed the function using a graphing tool