What is the reciprocal of 5/29

Ermias should have the factory produce 32 R80 tuners each week to maximize profit, as there is no plastic remaining to produce D200 tuners. The profit generated from producing 32 R80 tuners would be $160.

To determine the number of R80 and D200 stereo tuners Ermias should produce each week to maximize profit, we need to consider the available resources and the profit generated by each tuner.

First, let's calculate the maximum number of R80 tuners that can be built using the available plastic and metal. Each R80 tuner requires 4 ounces of plastic and 2 ounces of metal. We have 128 ounces of plastic and 208 ounces of metal available.

The maximum number of R80 tuners based on plastic availability is

128 ounces / 4 ounces per R80 tuner = 32 R80 tuners.

The maximum number of R80 tuners based on metal availability is

208 ounces / 2 ounces per R80 tuner = 104 R80 tuners.

Since we are limited by the availability of plastic, we can only build 32 R80 tuners.

Next, let's determine the maximum number of D200 tuners that can be built using the remaining plastic and metal.

Each D200 tuner requires 2 ounces of plastic and 4 ounces of metal.

The remaining plastic after building 32 R80 tuners is

128 ounces - (4 ounces per R80 tuner * 32 R80 tuners) = 0 ounces.

Since we don't have any plastic left, we cannot build any D200 tuners.

Now, let's calculate the profit generated by producing the maximum number of R80 tuners. Each R80 tuner generates a profit of $5.

The profit from producing 32 R80 tuners is 32 R80 tuners * $5 profit per R80 tuner = $160.

In conclusion, Ermias should have the factory produce 32 R80 tuners each week to maximize profit, as there is no plastic remaining to produce D200 tuners. The profit generated from producing 32 R80 tuners would be $160.

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Answer:

Step-by-step explanation:

0.39 x 65 = 25.35

Answer:

She would make $646.00

$15

$15 because they are asking you to do a subtraction the initial amount used to be $55then you have to substract $40 because they are saying $40 OFF

$15 because they are asking you to do a subtraction the initial amount used to be $55then you have to substract $40 because they are saying $40 OFF55 - 40= 15don't forget to add the $ sign

$15 because they are asking you to do a subtraction the initial amount used to be $55then you have to substract $40 because they are saying $40 OFF55 - 40= 15don't forget to add the $ sign !Hope I helped you

The probability of achieving the third success in a series of independent trials with a probability of success of 0.30 is 0.147 or approximately 14.7%.

The geometric distribution is a probability distribution that models the number of trials needed to achieve a success in a series of independent trials, where each trial has a fixed probability of success, denoted by "p".

In this case, we are given that the probability of success is p = 0.30. We want to find the probability of achieving the third success, denoted by P(3).

To do this, we can use the formula for the geometric distribution:

P(k) = (1-p)^(k-1) * p

where k is the number of trials needed to achieve the kth success.

Plugging in the given values, we get:

P(3) = (1-0.30)^(3-1) * 0.30

P(3) = 0.49 * 0.30

P(3) = 0.147, or approximately 14.7%

So, the probability of getting the first success on the 3rd trial when p=0.30 is 0.147.

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Answer:

Ms. Felix would spend $491.75 on her order.

Step-by-step explanation:

First, let's identify the components of this word problem that we'll need to solve it. We know that Staples charges $28 for 8 boxes of pencils, and $47 for 4 pencil sharpeners. Before we do anything else, we'll find the unit price of  the pencils and pencil sharpeners to make it easier for us. Let's begin with the boxes of pencils. 28 ÷ 8 = $3.50 per box of pencils. As for the pencil sharpeners, 47 ÷ 4 = $11.75 per sharpener. Now that we know the basic costs, let's use them to solve our problem at hand. We'll multiply the number of items ordered by the base cost of the item.

Boxes Of Pencils:

70 × $3.50= $245.00

Sharpeners:

21 × $11.75= $246.75

Now that we know the cost of the two seperate items Ms. Felix ordered, let's add them to get our final answer.

Our final answer would be $491.75.

Answer:

6 hours is your answer, good luck

Answer:

6 hours

Step-by-step explanation:

Answer:

2+2 = 4

Step-by-step explanation:

Hope this helps.

Answer:

2 + 2 is 4 my guy

Step-by-step explanation:

thx for the points

Answer:

17) the parallel slope is 4x.

18) the parallel slope is 2x.

19)the parallel slope is -4/-3x.

    because 4x-3y=-15

                    -4x      -4x

                     - 3y=-4x-15

                     -3      -3    -3

                        y=-4/-3-5

20)the parallel slope is -5/2x

5x+2y=6

     -5x   -5x

    2y=-5x+6

    2      2    2

y=-5/2x + 3

Step-by-step explanation:

don´t forget to brainllest!:)

Answer:

3cm²

Step-by-step explanation:

Since the sizes are square tiles, to know the tile's side lengths that Dorian need to estimate, we will use the formula for calculating the area of q square

Area of a square = L²

L is the side length of the tiles

For the tiles with area 7cm²

7 =  L²

L² = 7

L = √7

L = 2.65cm

For tiles with area 5cm²

5 =  L²

L² = 5

L = √5

L = 2.24cm

For tiles with area 9cm²

9 =  L²

L² = 9

L = √9

L = 3.0cm

Since for all the square tiles the length of the tile is ≤ 3 cm, then the  tile's side lengths that Dorian will need to estimate is approximately 3cm

The product of the two terms \(\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}\) is \(\dfrac{n}{(n+1)}\).

A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.

The product of the two fractions can be written as,

\(\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}\)

Taking 4 as the common term from both numerator and denominator of the first fraction, therefore,

\(\dfrac{4n}{4(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\=\dfrac{n}{(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\\)

Now, cancelling the common factor from the numerator and the denominator, we will get,

\(=\dfrac{n}{(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\\\=\dfrac{n}{(n+1)}\)

Hence, the product of the two terms \(\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}\) is \(\dfrac{n}{(n+1)}\).

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The  quotient of the expression \((-12x^3 + 21x^2 - 6x) / (-3x)\) is \(4x^2 - 7x + 2.\)

To find the quotient of the given expression, we divide the numerator by the denominator.

Expression:\((-12x^3 + 21x^2 - 6x) / (-3x)\)

Factoring  out the common term 'x' from the numerator:

\(x * (-12x^2 + 21x - 6) / (-3x)\)

Simplify the expression by canceling out the common terms 'x':

\((-12x^2 + 21x - 6) / (-3)\)

Dividing  each term in the numerator by -3:

\((-12x^2 / -3) + (21x / -3) + (-6 / -3)\)

Simplifying y each term:

\(4x^2 - 7x + 2\)

Therefore, the quotient of the expression \((-12x^3 + 21x^2 - 6x) / (-3x)\) is \(4x^2 - 7x + 2.\)

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The required answers are 6) 150 degree 8) 215 degree.

If the terminal edge of an angle in standard position is on the x- or y-axis, the angle is referred to as a quadrantal angle. Quadrantal angles include 0, 90, 180, 270, and 360 degrees, among others. The images below show examples of some of these angles.

To convert radian to degree just multiply 180/π to radian.

6) 5π/6

= \($\frac{5\pi}{6}\times\frac{180}{\pi}\)

= 150 degree

8) to lie 35 degree in third quadrant add 180 degree to it

= 180 + 35

= 215 degree

Thus, required answers are 6) 150 degree 8) 215 degree.

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Answer:

B.) 3645

Step-by-step explanation:

The required volume of the given solid is (√16 - r²) -(-√16 - r²).

The measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units.

Volume and the notion of length are connected.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface.

The cubic meter (m3), a derived unit, is the SI unit of volume.

So, the integrand often takes the form z upper z lower, where z stands for the solid's lower and upper borders.

We are treating the sphere as a hemisphere as of right now, with the XY-plane serving as its lower boundary. Consequently, you must multiply by 2.

The solid's volume is (√16 - r²) -(-√16 - r²).

Therefore, the required volume of the given solid is (√16 - r²) -(-√16 - r²).

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Correct question:

Use polar coordinates to find the volume of the given solid: Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4.

The empirical rule in a normal distribution states that 99.7%  of the data falls within three standard deviations of the mean. Hence, option D is the correct option.

The empirical rule in a normal distribution is also referred to as the three-sigma rule or 68-95-99.7 rule. It is a rule in statistics that tells us that for a normal distribution, all of the observed data fall within the three standard deviations of the mean (denoted by σ) or within the average (denoted by µ).

According to this rule, 68% of the observations fall under the first standard deviation (µ ± σ), and 95% within the first two standard deviations (µ ± 2σ). In addition to this, 99.7%  of the data falls within three standard deviations of the mean. Hence, we know that option D is the correct option.

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Answer:

Step-by-step explanation:

Hello, as this is reflected over the  y=o line, it does not change the value for x so this is (3,2)

and the reflection over y=0 line changes the y in -y

thanks

a)  The 95% confidence interval for µd is [2.32, 6.88].

b) There is strong evidence that µd differs from 0.

(a) To calculate a 95% confidence interval for µd, we use the formula:

Confidence interval = [d¯ - t*sd/√n , d¯ + t*sd/√n]

Where d¯ is the sample mean, t is the t-value corresponding to the desired level of confidence and degrees of freedom (df = n-1), sd is the sample standard deviation, and n is the sample size.

For a 95% confidence interval with 49-1=48 degrees of freedom, the t-value is 2.01 (from a t-table).

Plugging in the given values, we get:

Confidence interval = [4.6 - 2.01*7.6/√49 , 4.6 + 2.01*7.6/√49]

Confidence interval = [2.32 , 6.88]


Since the entire interval is greater than 0, we can be 95% confident that the difference between µ1 and µ2 is greater than 0.

(b) To test the null hypothesis H0: µd = 0 versus the alternative hypothesis Ha: µd ≠ 0, we use a t-test.

The test statistic is:

t = (d¯ - µd)/(sd/√n)

Where d¯ is the sample mean, µd is the hypothesized mean difference, sd is the sample standard deviation, and n is the sample size.

Plugging in the given values, we get:

t = (4.6 - 0)/(7.6/√49)

t = 4.24

We then compare this t-value to the critical t-values for the different levels of significance (α = .10, .05, .01, and .001) and 48 degrees of freedom (from a t-table).

The critical t-values are:

t(.10) = 1.68

t(.05) = 2.01

t(.01) = 2.68

t(.001) = 3.50

Since our calculated t-value (4.24) is greater than all of the critical t-values, we reject the null hypothesis at all levels of significance.

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In an analysis of variance (ANOVA), the F-ratio is used to determine whether there are significant differences between the means of two or more groups.

When the null hypothesis is true, it means that there are no significant differences between the group means, and any observed differences are due to random chance.

In this scenario, the F-ratio is balanced in such a way that the numerator and the denominator both measure the same sources of variance.

The F-ratio is calculated by dividing the variability between the group means (numerator) by the variability within the groups (denominator).

When the null hypothesis is true, both the numerator and the denominator represent the same underlying variation.

This ensures that the F-ratio is balanced and close to 1.0, indicating that the group means are similar and any observed differences are likely due to chance.

The balanced F-ratio is a crucial aspect of ANOVA as it allows researchers to assess the significance of group differences accurately.

If the F-ratio deviates significantly from 1.0, it suggests that the observed differences between the group means are unlikely to be due to random chance alone, and the null hypothesis is rejected in favor of the alternative hypothesis.

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Answer:

A

Step-by-step explanation:

Slope is defined by \(\frac{y_2-y_1}{x_2-x_1} or \frac{rise}{run}\). Take 2 points from this table and plug into the formula to find the slope.

\(\frac{96-60}{-20--12} = \frac{36}{-8} = -9/2\)

From a logical standpoint, since when x increases and y decreases, the slope must be negative, eliminating answering B and D. Because the y value changed more than the x value, the slope must be more than 1, eliminating option C and leaving you with option A.

Explanation:

The compound interest formula is given below as

Where,

By substitutng the values, we will have

Hence,

The final answer is

OPTION D is the correct answer

A researcher records the following scores for attention during a video game task for two samples. Sample B has the largest standard deviation.

To determine which sample has the largest standard deviation, we need to calculate the standard deviation for both Sample A and Sample B.

Step 1: Calculate the mean (average) of each sample
Sample A: (10+12+14+16+18)/5 = 70/5 = 14
Sample B: (20+24+28+32+36)/5 = 140/5 = 28

Step 2: Calculate the squared differences from the mean in score
Sample A: (4²+2²+0²+2²+4²) = (16+4+0+4+16)
Sample B: (8²+4²+0²+4²+8²) = (64+16+0+16+64)

Step 3: Calculate the average of the squared differences
Sample A: (16+4+0+4+16)/5 = 40/5 = 8
Sample B: (64+16+0+16+64)/5 = 160/5 = 32

Step 4: Take the square root of the average squared differences to find the standard deviation
Sample A: √8 ≈ 2.83
Sample B: √32 ≈ 5.66

Based on the calculated standard deviations, Sample B has the largest standard deviation. So, the answer is Sample B.

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Two scenarios that create right angle are 3 and 4.

In both the situations, Pythagoras theorem get satisfy with the sides which theorem is only applicable when there is right angle in the triangle.

Here's the explanation using 3 as an example :

From the statement we can assume that height of the window as the perpendicular(P) and distance from base(B) of the building to William as base of the triangle and line distance from Tom to William as hypotenuse(H) of the triangle.

Therefore, H = 130, B= 36.4 and P = 124.8

By Pythagoras theorem,

H² = P² + B²;

130² = 124.8² + 36.4²,

16900 = 15575.04 + 1324.96,

16900 = 16900

Hence satisfy the Pythagoras theorem, therefore triangle is right angle.

Similarly for the 4 statement.

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(a) Critical numbers of f:To find the critical numbers, we take the first derivative of the function f. f(x) = 2³ - 3² 12x + 10So, f'(x) = 0-6x = 0x = 0Thus, the critical number of f is x = 0.

(b) Intervals on which f is increasing or decreasing:To determine the intervals on which f is increasing or decreasing, we will consider the sign of the first derivative, f'(x) in each interval.In the interval x < 0:f'(x) is negativeIn the interval 0 < x < 1:f'(x) is positiveIn the interval x > 1:f'(x) is negativeTherefore, f is increasing on the interval (0, 1) and decreasing on the intervals (-∞, 0) and (1, ∞).

(c) Relative extrema of f:To determine the relative extrema, we take the second derivative of the function f. f(x) = 2³ - 3² 12x + 10f'(x) = -6xf''(x) = -6Thus, the second derivative test is inconclusive since f''(0) = f''(1) = 0.Thus, we test for a sign change of the first derivative, f'(x), at x = 0 and x = 1 to determine the types of extrema:At x = 0:f'(x) changes sign from negative to positive, therefore, there is a relative minimum at x = 0.At x = 1:f'(x) changes sign from positive to negative, therefore, there is a relative maximum at x = 1.

(d) Inflection points of f:To find the inflection points of f, we take the second derivative of the function and set it equal to zero.f(x) = 2³ - 3² 12x + 10f''(x) = -6f''(x) = 0-6 = 0x = 2Thus, the hypercritical number of f is x = 2.

(e) Intervals of concavity:To determine the intervals of concavity of f, we will consider the sign of the second derivative, f''(x), in each interval.In the interval x < 0:f''(x) is negativeIn the interval 0 < x < 1:f''(x) is negativeIn the interval 1 < x < 2:f''(x) is positiveIn the interval x > 2:f''(x) is negativeTherefore, f is concave down on the intervals (-∞, 0) and (1, 2) and concave up on the intervals (0, 1) and (2, ∞).

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No, the segments will not form a triangle based on the line segments provided.

For three line segments to form a triangle, they must satisfy the triangle inequality theorem. The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides of the triangle must be greater than the length of the third side.

This is because if the sum of the lengths of any two sides is less than or equal to the third side, it would not be possible to form a triangle with those side lengths, as the two shorter sides would not be able to reach the longer side to form the triangle.

In this case, the sum of the two shorter segments (12 units + 10 units) is 22 units, which is less than the measure of the longest segment (18 units). Therefore, the three segments will not form a triangle.

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Iterative is used when the equations cannot be solved simply.

The given value is put in the equation to solve.

Walter estimation is incorrect.

No, both 3. 61^2 and 3. 62^2 are greater than 13.

First he checks that is 13 between 3.61 and 3.62.

But suppose he cannot because he wants to use iteration.

Suppose he squares both the numbers 3.61 and 3.62 to determine if 13 is between the two numbers.

3.61² = 13.0321  and

3.62² =13.1044

We see that when both the numbers are squared then the answer in each case is greater than 13.

Therefore 13 cannot lie as both numbers are greater than 13.

Hence 13 does not lie between 3.61 and 3.62

From the given choices the best choice is  No, both 3. 61^2 and 3. 62^2 are greater than 13.

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Answer:

Your answer is \(\sqrt 221\)

Step-by-step explanation:

\(10^2+11^2=c^2\\100+121=221\\c=\sqrt{221}\)

Hope this helps!

Answer:

It increases national debt. This happens because the unemployed don't participate in doing taxes because they do not have a job. It also effects other businesses because people with less money won't buy as many things which leads to other companies losing money.

Instrument disposition can involve the creation and delivery to a dropbox for paper-and-pencil instruments. - True

Instrument disposition is the procedure for managing finished test or survey instruments after they have been given to participants. Depending on the type of instrument and the study design, this may include a number of different procedures.

The fabrication and transmission of paper-and-pencil instruments to a dropbox is one potential approach for disposing of instruments. This approach is frequently used to gather completed survey forms or other paper-based questionnaires. The study team can collect the forms on a regular basis and transfer the data to a digital format for analysis. The dropbox can be placed in a convenient area for participants to drop off their completed forms.

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