Can a skewed distribution also be symmetric? Why or why not?

Answer:

6.890625 Tons

Step-by-step explanation:

To get total in ounces: [(14,700 x 15) = 220,500 OZ].

To convert ounces to tons: [(220,500/32,000) = 6.890625 Tons]

a) The break-even point for the division is: 4000 units

b) The level of sales for 10% profit is: 4681 units

The break-even point is defined as the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. In other words, you've reached the level of production at which the costs of production equals the revenues for a product.

a) We are told that:

Selling price for income tax app = $8

Monthly fixed cost = $20000

Variable cost producing each app = $3

Thus:

8x = 3x + 20000

5x = 20000

x = 4000 units

b) 8x = 1.1(3x + 20000)

8x = 3.3x + 22000

4.7x = 22000

47x =220000

x = 4681 units

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Missing questions are:

(a) Find the break-even point for the division.

(x,y)=

(b) What should be the level of sales in order for the division to realize a 10% profit over the cost of making the income tax apps? (Round your answer up to the nearest whole number.)

Check the picture below.

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~5 - 2~~)^2 + (~~7 - 1~~)^2} \implies d=\sqrt{( 3 )^2 + ( 6 )^2} \\\\\\ d=\sqrt{ 9 + 36 } \implies d=\sqrt{ 45 }\implies d\approx 6.7\)

If it takes 6 hours for Matt to wash the car, then he washes at a rate of 1/6 cars per hour:

Let y be the time in which Matt's dad washes the car and state an equation that describes the situation in which Matt and his dad wash the car together:

It means that he washes the car in 6/11 hours (approximately 0.54hours).

According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

What is Chebyshev's Theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.

According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.

So when k = 3.3

1 -  1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%

Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

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Answer:

f(-2) = -11

Step-by-step explanation:

Answer:

5.8+5.8+8.2+8.2=28m

Step-by-step explanation:

If you want to find the PERIMETER  you just need to add up the length of all of the sides. No multiplication needed. Just add the numbers. Don’t forget that there are multiple sides so even though only two are labeled dont forget to add every single side that the shape has.

The time when the instantaneous velocity is equal to the average velocity is t = 2.

What is the derivative?

A derivative is the instantaneous rate of change of a function with respect to any of its variables.

The instantaneous velocity of the bug is given by the derivative of s(t), which is:

s'(t) = 2t - 2

The average velocity of the bug between time t1 and t2 is given by the difference in position divided by the difference in time:

average velocity = (s(t2) - s(t1)) / (t2 - t1)

To find the time at which the instantaneous velocity is equal to the average velocity, we need to solve the equation:

s'(t) = (s(t2) - s(t1)) / (t2 - t1)

for t1 and t2. We can simplify this equation by first finding an expression for s(t2) - s(t1):

s(t2) - s(t1) = [(t2)² - 2t2 + 3] - [(t1)² - 2t1 + 3]

= t2² - (t1)² - 2(t2 - t1)

= (t2 - t1)(t2 + t1 - 2)

Substituting this into the equation above, we get:

2t - 2 = (t2 + t1 - 2) / (t2 - t1)

Multiplying both sides by (t2 - t1), we get:

2t(t2 - t1) - 2(t2 - t1) = t2 + t1 - 2

Simplifying, we get:

2t(t2 - t1 - 1) = t2 + t1 - 2

We want to solve for t1 and t2 such that the above equation is satisfied and s'(t) = (s(t2) - s(t1)) / (t2 - t1).

We can simplify the equation by using the fact that the average velocity is equal to the instantaneous velocity when the function is linear.

The derivative of s(t) is a quadratic function, so we need to find the point at which the tangent line is equal to the secant line between two points.

The slope of the tangent line at time t is given by s'(t). The slope of the secant line between times t1 and t2 is given by:

(s(t2) - s(t1)) / (t2 - t1)

To find the time when the instantaneous velocity is equal to the average velocity, we first need to find the average velocity.

The average velocity of the bug from time t1 to t2 is given by:

average velocity = (s(t2) - s(t1))/(t2 - t1)

Let's choose two arbitrary times, t1 and t2, such that t1 < t2. Then the average velocity over that interval is:

average velocity = (s(t2) - s(t1))/(t2 - t1)

= ((t2² - 2t2 + 3) - (t1² - 2t1 + 3))/(t2 - t1)

= (t2² - t1² - 2t2 + 2t1)/(t2 - t1)

= (t2 + t1 - 2)(t2 - t1)/(t2 - t1)

= t2 + t1 - 2

Now we need to find the time t when the instantaneous velocity is equal to this average velocity. The instantaneous velocity at time t is given by the derivative of the position function:

v(t) = s'(t) = 2t - 2

So we need to solve the equation:

v(t) = t + (t-2)

= 2t - 2

= average velocity

Simplifying this equation gives:

t = 2

Therefore, the time when the instantaneous velocity is equal to the average velocity is t = 2.

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Answer:

Domain:     -INFINITY  ,  INFINITY

Range:       -INFINITY  ,  INFINITY

Step-by-step explanation:

From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

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The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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Answer:

Side AC corresponds to side FD

Angle BAC corresponds to angle BFD

Answer: 5%

Step-by-step explanation: If there is one broken egg in each crate (1/20), you would change that to5%

And if there are ten crates, then you see how many eggs there a re total.

(10 × 20 = 200)

If there are 200 eggs and for every 20 eggs there is on broken one, then there will be 10 broken eggs total. or 10/200

convert the fraction to a decimal ( 10 ÷ 200 = .05)

then convert the decimal to a percent. .05 is equal to 5%

PLEAZE RATE BRAINLIEST!!!

Answer:

$15, 300 a loan

Step-by-step explanation:

14, 400/2 = 7200

25000- 7200 = 17,800

17, 800- 2500 for a scholarship = 15,300

True, A segment AB, or AB, consists of the endpoints A and B and all points on AB that lie between A and B.

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

A segment AB, often known as AB, is made up of all the points on AB that are located between the endpoints A and B and AB. All of the points on AB that are located on the same side of beginning point A as point B make up the ray AB, or AB. If C is located on the line AB between A and B, then CA and CB are the line's opposing rays.

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By using slope intercept form of equation of line, it can be inferred that Point C is on the line y = x - 5

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan\theta\)

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here, the given slope intercept form is y = x - 5

For Point A

Putting x = -3

y = -3 -5 = -8 which is not equal to 2

Point A is not on the line y = x - 5

For Point B

Putting x = 1

y = 1 -5 = -4 which is not equal to 6

Point B is not on the line y = x - 5

For Point C

Putting x = 3

y = 3 -5 = -2

Point C is on the line y = x - 5

For Point D

Putting x = -2

y = -2 -5 = -7 which is not equal to -3

Point D is not on the line y = x - 5

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as the number skipped are 17 26 35 and so on, the pattern is to add 9

Answer:

2y-4x+6x

=2y+2x

Step-by-step explanation:

Answer:

2x+2y

Step-by-step explanation:

Let's simplify step-by-step.

3y−4x+6x−y

=3y+−4x+6x+−y

Combine Like Terms:

=3y+−4x+6x+−y

=(−4x+6x)+(3y+−y)

=2x+2y

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

The sample size will be "\(102.5494 \sim 102\)". A further explanation is given below.

Step-by-step explanation:

Let the sample size will be:

= n

The given values are:

Standard deviation,

= 1.4

ME,

= 0.3

As we know,

⇒ \(n=(Z \frac{a}{2}\times \frac{SD}{E})^2\)

On putting the estimated values, we get

⇒    \(=(2.17\times \frac{1.4}{0 .3})^2\)

⇒    \(=(\frac{3.038}{0.3})^2\)

⇒    \(=102.5494 \sim 102\)

Answer:

3(12 + 7)

Step-by-step explanation:

To find the GCF of 36 and 21, list out their factors.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

21: 1, 3, 7, 21

The greatest factor which both numbers share is 3.

Therefore, you can factor 36 + 21 as 3(12 + 7)

Answer:

\((4, -3 )\)

General Formulas and Concepts:

Pre-Algebra I

Algebra I

Step-by-step explanation:

Step 1: Define

R (9, 3)

S (-1, -9)

Step 2: Find midpoint

×=20°

Hope this helps :)

The solution to the systems of equations graphically is (3, 4)

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

y = 2/3x + 2

y = 3x - 5

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This point is located at (3, 4)

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Answer:

B.0

Step-by-step explanation:

4-2x2+2/2-1

4-4+1-1

0+0

0

Answer:

answer is 7

Step-by-step explanation:

well its not gonna be e and b for sure then u look closly u can get 4+2 that will be 6+2/2 then you get 7

The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.

Let the cost price of rice is R and cost price of sugar is S.

Case 1 :  total cost of 5 kg rice and 6 kg sugar is Rs. 940.

5R + 6S = 940 ...(1)

Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.

The new cost price of rice = R + 20% of R = 1.2R

The new cost price of sugar = S - 10% of S = 0.9S

So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.

Thus,

4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)

From equations (1) and (2) we have,

(5R + 6S)/(4.8R + 2.7R) = 940/627

R/S = 8/9

Hence, if the price of rice is 8 then the price of sugar is 9.

It is clear that the price of sugar is more than that of rice.

The percent cost by which cost of rice is less than sugar is:

(9 - 8)/ 9 (100) = 11 1/9%.

Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.

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Answer:

x = 1, y = 2

Step-by-step explanation:

7x + 2y = 11 -----Equation 1

Equation 1 × 7:

49x + 14y = 77 -----Equation 2

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

4x - 7y = -10 -----Equation 3

Equation 3 × 2:

8x - 14y = -20 -----Equation 4

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

Equations 3 + 4:

49x + 14y + 8x - 14y = 77-20

49x + 8x = 77-20

57x = 57

x = 57 ÷ 57

x = 1

Substitute x = 1 into Equation 1.

7x + 2y = 11

7(1) + 2y = 11

7 + 2y = 11

2y = 11-7

2y = 4

y = 4 ÷ 2

y = 2

Answer:

350 F

Step-by-step explanation:

All the data ordered would be:

150, 300, 325, 350, 350, 400, 400, 450, 450

The median is the middle value when a data set is ordered from least to greatest. Therefore, if there are 9 data, the middle value would be in the position 4.5 as 9 is an odd number.

The rule says that when the amount of data is odd you need to calculate the average between the two middle values.

So, the median would be the mean between 350 and 350.

(350 +350)/2 = 350

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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