Both my numerator and denominator are even numbers and their sum is 68 i am equivalent to 7/10 what fraction am i

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Hello! Explanation below!

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Ideally, we should break apart the number for this problem. So, here goes nothing. :)

500 / 8 = 62.5

20 / 8 = 2.5

8 / 8 = 1

Now, add your products.

62.5 + 2.5 + 1 = 66

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Good luck!

~pinetreee

Answer: f(0) = 7

Step-by-step explanation:

f(x) = x² + 6x + 7

f(0), we just need to put 0 in for all the x

f(0) = 0^2 + 6(0) +7

f(0) = 0 + 0 + 7

f(0) = 7

Using Binomial Probability distribution,

the probability that exactly 4 of them never returned any merchandise in 2021 is 4845(0.05)²⁰.

We have given that ,

5% of customers never returned any merchandise.

probability of sucess ( i.e never returned any merchandise) = 5% = 0.05 = p

probability of failure (q) = 1- p = 0.05

Random sample (n) = 20

If X is random variable that customers who never returned any merchandise.

Using Binomial Probability distribution formula,

P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

The probability that exactly 4 of them never returned any merchandise in 2021 = P(X=4)

= ²⁰C₄ (0.05)⁴ (0.05)¹⁶

= 20×19×18×17/4×3×2× 1 (0.05)²⁰

= 5×6×17×19/2 (0.05)20

= 4845(0.05)²⁰

Hence, the required probability is 4845(0.05)²⁰.

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Complete question:

Suppose 5% of Amazon customers never returned any merchandise in 2021.

if 20 amazon customers are randomly selected, what is the probability that exactly 4 of them never returned any merchandise in 2021?

Answer:

26.42139285

Step-by-step explanation:

26x26 + 4.7x4.7 = c2

676 + 22.9 =c2

698.09=c2

square root of 698.09=26.42139285

26.42139285 = c

Step 1:

Draw the figure

The diagonals of a rhombus bisect each other,

therefore

FJ = JH

this implies that

JH = 4.

Opposite angles of a rhombus are equal, so

The diagonals of a rhombus bisect the interior angles.

Therefore,

The diagonals of a rhombus are perpendicular

GH = 8 (b)

Also,

Using the Pythagorean rule,

FH = FJ + JH

this implies that

FH = 4 + 4 = 8

FH = 8

right choice B

The diagonals of a rhombus bisect the interior angles.

therefore

Sum of the interior angles of a rhombus is 360degrees.

And opposite interior angles of a polygon are congruent.

Therefore

Also,

7) The factors of the expression (x² + 17x + 60) is, (x + 5) (x + 12)

8) The factors of the expression (x² - 6x - 27) is, (x + 3) (x - 9)

9) The factors of the expression (2x² - 18x + 28) is, 2 (x - 2) (x - 7)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We can factor as;

7) The factors of the expression (x² + 17x + 60) is,

⇒ x² + 17x + 60

By using quadratic formula as;

⇒ x = - 17 ± √(17² - 4×1×60 / 2

⇒ x = - 17 ± √289 - 240 / 2

⇒ x = - 17 ± √49 / 2

⇒ x = - 17 ± 7 / 2

⇒ x = - 17 + 7 / 2

⇒ x = - 10/2

⇒ x = - 5

And, x = - 17 - 7 / 2

⇒ x = - 24/2

⇒ x = - 12

Thus, The factors of the expression (x² + 17x + 60) is,

⇒ (x + 5) (x + 12)

8) The factors of the expression (x² - 6x - 27) is,

⇒ x² - 6x - 27

⇒ x² - 9x + 3x - 27

⇒ x (x - 9) + 3 (x - 9)

⇒ (x + 3) (x - 9)

Thus, The factors of the expression (x² - 6x - 27) is,

⇒ (x + 3) (x - 9)

9) The factors of the expression (2x² - 18x + 28) is,

⇒ 2x² - 18x + 28

⇒ 2 (x² - 9x + 14)

⇒ 2 (x² - 7x - 2x + 14)

⇒ 2 (x (x - 7) - 2 (x - 7))

⇒ 2 (x - 2) (x - 7)

Thus, The factors of the expression (2x² - 18x + 28) is,

⇒ 2 (x - 2) (x - 7)

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The value of the friction force on the sofa will be 288 N.

The force which opposes the motion of the body is known as friction force.

Ralph wants to move a 60.0 kg sofa.

He applies a force of 480 N.

Under these conditions, the sofa initially moves with an acceleration of 3.20 m/s².

Then the value of the friction force on the sofa will be

We know

ΣF = ma

We have

m = 60 kg

a = 3.2 m/s²

Then the value of friction force will be

480 – f = 60 × 3.2

480 – f = 192

          f = 480 – 192

          f = 288 N

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Answer:

288

Step-by-step explanation:

according to the question,

given data in the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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The type of transformation that is equivalent to 2 reflections across intersecting lines is rotation

A slide or a shift is a translation. By executing two composite reflections along parallel lines, translations may be produced. Translations maintain orientation and are isometric.

An isometry is made up of two other isometries. The translation is equal to the combination of two reflections over two parallel lines.

according to the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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Using the Laplace transform to solve the given integral equation  f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is \(\frac{4(1-2e^-5s)/}{s}\)

explanation is given in the image below:

Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.

The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.

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The missing factor in the second equation is 1, and the completed equation is: -24y + (-5) = -4(6y + 5/4)

We know that the GCF of -24y and -20 is 4. To find the missing factor in each equation, we can divide both terms by the GCF of 4.

For the first equation, we have:

-24y = 4 * (-6y)

Dividing both sides by 4, we get:

-6y = -24/4

Simplifying, we get:

-6y = -6

Therefore, the missing factor in the first equation is -1, and the completed equation is:

-24y + 20 = -4(6y - 5)

For the second equation, we have:

-20 = 4 * (-5)

Dividing both sides by 4, we get:

-5 = -20/4

Simplifying, we get:

-5 = -5/1

Therefore, the missing factor in the second equation is 1, and the completed equation is:

-24y + (-5) = -4(6y + 5/4)

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Answer:

Step-by-step explanation:

et A=120°

and B=5Pi /6

Pi radians ---------> 180°

  x<----------------------- 120°

so x =120 x Pi / 180 = 12 xPi / 18 = 2 Pi/3

so A = 2Pi / 3 radian  

let 's compare A and B

we know that 5Pi /6 = 0.8 Pi and  2P/3= 0.6 Pi, 0.8>0.6,  

finally 5Pi /6 > 2P/3

so B>A

The error in the system of inequalities represented by the graph is that the inequality symbol is incorrect for the blue boundary line.

What informs the description?

The error in the system of inequalities represented by the graph is that the inequality symbol is incorrect for the blue boundary line. The blue boundary line is a dashed line, which represents a "less than" or "greater than" inequality. However, the inequality symbol used is "=". The correct inequality symbol for the blue boundary line should be "<" or ">", depending on which side of the line the solution is on.

The correct system of inequalities would be:

y > -2x + 2 (if the solution is on the side above the blue line)

or

y < -2x + 2 (if the solution is on the side below the blue line)

Additionally, there is an error in the representation of the red boundary line, it should be y=0.5x+1 not y=5 or 2.

There is also an error on the representation of x and y, it should be x>= 1505+1.

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Answer:

Point R

Step-by-step explanation:

Its the farthest away from the majority

Answer:

A

Step-by-step explanation:

Because the square root of 50 is 7.07 and 7.07 is less than 8.34.

Answer:

it's -6 dollars per year.

Step-by-step explanation:

the expression would be (5-125)/(1995-1975) which would give you the average rate of change.

Answer:

3/5 x 5/8 is less 5/8

Step-by-step explanation:

3/5 x 5/8 = 15/40

Simply

15/40 = 3/8

•

5/8 > 3/8

Answer: n < 60

Step-by-step explanation:

n - 48 < 12

n - 48 + 48 < 12 + 48

n < 60

Answer:

True

Step-by-step explanation:

The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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Answer:

a

Step-by-step explanation:

because thats what it is

Answer: a and c

Step-by-step explanation:u welcome

The time Sue spends on travelling is 3.5 hours and the time she spends stationary is 2.5 hours.

A distance-time graph is a graphical representation of the distance an object has traveled over a period of time. It is also known as a velocity-time graph or a speed-time graph.

On the vertical axis of the graph, the distance traveled by the object is plotted, while the horizontal axis represents time. A line or curve is drawn to connect the data points, showing the relationship between distance and time.

The slope of the line on a distance-time graph represents the speed of the object. If the line is horizontal, it means that the object is not moving. A steeply sloping line indicates that the object is moving at a high speed, while a shallow slope indicates a slower speed.

Now total time = 8 - 2 = 6 hours

So time Sue spends on travelling =

2 pm to 3 pm  = 1  hour

3: 30 pm to 4 pm  = 0.5  hour

5 pm to 6 : 30 pm = 1.5 hours

7: 30 pm to 8 pm = 0.5 hour

Travelling time = 1 + 0.5 + 1.5 + 0.5 = 3.5 hours

Time Spent Stationary =

3 pm to 3 : 30 pm = 0.5 hour

4 pm to 5 pm  = 1  hour

6: 30 pm to 7:30 pm  = 1  hour

So Total Stationary Time = 0.5 + 1 + 1 = 2.5 hours

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The complete question is:

It would take more than 291 hours (or approximately 12 days) for everyone to get a picture, assuming they all took the full allotted time of 15 seconds.

This is because 70,000 people multiplied by 15 seconds per picture equals 1,050,000 seconds in total.

1,050,000 seconds is equal to approximately 17,500 minutes, or 291.67 hours.

In other words, it would take more than 291 hours (or approximately 12 days) for everyone to get a picture, assuming they all took the full allotted time of 15 seconds.

However, it is important to note that this is an estimate and there are other factors to consider.

For example, not everyone may want to take a picture, some people may take longer or shorter than 15 seconds, and there may be logistical factors such as crowd control and organization that could impact the time it takes for everyone to get a picture.

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The value of f(0) is '-1'.

Let's see the step-by-step solution:

Step 1:

For f = -x -1

substitute the x with 0

So, f(0) = -0-1

Step 2:

Simplifying it: -0-1: -1

Thus, the value of f(0)= -1

The calculated area of the triangle is 13.5 square units

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

H(5,2), I(8,5), and J(3,9)

The area of the triangle in square units is calculated as

Area = 1/2 * |x₁y₂ - x₂y₁ + x₂y₃ - x₃y₂ + x₃y₁ - x₁y₃|

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * |5 * 5 - 8 * 2 + 8 * 9 - 3 * 5 + 3 * 2 - 5 * 9|

Evaluate the sum and the difference of products

Area = 1/2 * 27

So, we have

Area = 13.5

Hence, the area of the triangle is 13.5 square units

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Question

Triangle HIJ, with vertices H(5,2), I(8,5), and J(3,9), is drawn inside a rectangle, as shown below.

Calculate the area of the triangle

The missing side of the right triangle is as follows:

a = 22.7 units

b = 10.6 units

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides a and b can be found using trigonometric ratios as follows:

Hence,

sin 25 = opposite / hypotenuse

sin 25° = b / 25

cross multiply

b = 25 sin 25

b = 25 × 0.42261826174

b = 10.5654565435

b = 10.6 units

cos 25 = adjacent / hypotenuse

cos 25 = a / 25

cross multiply

a = 25 cos 25

a = 22.6576946759

a = 22.7 units

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The equation -20,000(F/P, i*, 4) + 10,000 + 5,000 = 0 is used to calculate the project's internal rate of return (i*). The Option A/

The internal rate of return (IRR) is a metric used in financial analysis to estimate the profitability of potential investments. IRR is a discount rate that makes the net present value (NPV) of all cash flows equal to zero in a discounted cash flow analysis.

To get internal rate of return (i*), we need to solve the equation: \(-20 000(F/P, i*, 4) + 10 000 + 5 000 = 0\)

The initial cost of the project is -$20,000, the net annual cash inflow is $10,000 and the salvage value is $5,000. The equation represents the present value of cash flows over the project's duration.

Therefore, by solving the equation, we can determine the internal rate of return (i*) for the project.

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The probability their sum is even without replacement is 39/52

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

It is given that if we randomly select 4 numbers from the set of the first 16 prime numbers, without replacement, then the probability that their sum i seven is,

2,3,5,7,11,13,17,23,27,29,31,37,41,43,49,51 are the first 16 prime numbers.

Even numbers are always produced when two odd numbers are joined together.

Odd numbers are always created when Even numbers are added to Odd numbers.

In the list of 16, there is just one even number. If that is one of the options, then the outcome will only be odd. As the same number cannot be selected twice, there is a 15/16 chance that it won't be chosen the first time. There is also a 14/15 chance that it won't be chosen the second time, a 13/14 chance the third time, and a 12/11 chance the fourth time.

By multiplying these four probabilities, we may get the probability of an even sum. The odds of a total that is even are therefore,

32760/43680=39/52=0.75

The probability their sum is even without replacement is 39/52

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According to given information, the length of the rectangular storage unit is 12 feet.

What is rectangle?

A rectangle is a two-dimensional shape with four sides and four right angles. It is a quadrilateral with opposite sides that are parallel and equal in length.

We can use the Pythagorean theorem to find the length of the storage unit. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the 5-foot-wide floor and the length of the storage unit form the two sides of a right triangle, with the diagonal (the distance from one corner to the opposite corner) being the hypotenuse. We can set up the equation as:

\(hypotenuse^2 = side1^2 + side2^2\)

where side1 = 5 feet and hypotenuse = 13 feet.

Simplifying this equation, we get:

\(hypotenuse^2\)\(= 5^2 + side2^2\)

169 = 25 + \(side2^2\)

\(side2^2\) = 144

side2 = 12

Therefore, the length of the storage unit is 12 feet.

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Answer:

64% male

36% female

Step-by-step explanation:

We know

A class has 50 students, 18 female, and 32 male.

If a representative is chosen in their class, what is the probability of having a male?

32 divided by 50, times 100 = 64%

So, 64% that the representative is male.

If a representative is chosen for their class, what is the probability of having a female?

18 divided by 50, times 100 = 36%

So, 36% that the representative is female.