adding and subtracting mixed numbers with like denominators worksheet

95.54% of the chocolate bars at the factory weigh less than 8. 17 ounces

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

z score shows by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that mean = 8, standard deviation = 0.1

For x < 8.17 ounces:

z = (8.17 - 8) / 0.1 = 1.7

From the normal distribution table:

P(z < 1.7) = 0.9554 = 95.54%

The probability that the chocolate bars weigh less than 8. 17 ounces is 95.54%

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The value of the trigonometric functions given that the point (-112, -15) is on the terminal side of an angle, θ is sin(θ)= y/r = -15/ 113 cos(θ)= x/r = -112/ 113 tan(θ)= y/x = -15/ -112 csc(θ)= r/y = 113/ -15 sec(θ)= r/x = 113/ -112.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

The terminal points are given as follows:

x = -112 and y = -15

Using the Pythagorean theorem we have:

x^2 + y^2 = r^2

(-112)^2 + (-15)^2 = r^2

12544 + 225 = r^2

r = 113

Now, the trigonometric functions is given as:

sin(θ)= y/r = -15/ 113

cos(θ)= x/r = -112/ 113

tan(θ)= y/x = -15/ -112

csc(θ)= r/y = 113/ -15

sec(θ)= r/x = 113/ -112

cot(θ)= x/y = -112/ -15

Learn more about Pythagorean theorem here:

https://brainly.com/question/343682

#SPJ4

f's x-dependent integral is identical to w; f(x)dx = w

The integral of f with respect to x is equal to w, which is the mathematical translation of the statement "w is the integral of f with respect to distance (x)". This can be mathematically stated as f(x)dx = w, where f(x) is a function of x, dx represents an infinitesimal change in x, and is the integral symbol.

The area under a function's curve, or integral, can be thought of as the accumulation of infinitesimally tiny slices of the function. The integral of f with respect to x in this situation equals w. This indicates that when the function f(x) is integrated with respect to x, w is equal to the sum of all the infinitesimally small slices.

Learn more about integral here

https://brainly.com/question/18125359

#SPJ4

These drugs may help with urge incontinence and can soothe an overactive bladder. Tolterodine (Detrol), darifenacin (Enablex), fesoterodine (Toviaz), solifenacin (Vesicare), and trospium chloride are a few examples.

When you cough, laugh, sneeze, run, or do heavy lifting, the strain (stress) on your bladder causes you to leak urine. This condition is known as stress incontinence. There is no connection between stress incontinence and emotional stress.

The most prominent symptom of stress incontinence is leaking pee while your bladder is under pressure. You may experience mild stress incontinence and leak pee while engaging in vigorous exercise, laughing, coughing, or sneezing.

Learn more about inconsistence on:

https://brainly.com/question/22329870

#SPJ1

I'm sleep deprived and mentally unstable. a 51 year old patient complains of a recent onset of tingling and weakness in the legs, stating that he occasionally loses feeling in his legs and has trouble breathing. he also struggles with bladder control. What medication can be used?

An eagle is flying at an elevation 15 meters above the ground. A gyrfalcon is flying at an elevation 23 meters above the ground.

Write an inequality that correctly compares the elevations

The eagle is flying at a lower elevation than the gyrfalcon, and the inequality for the elevation is

y - x > 8

Let the eagle is flying at an elevation = x meter

and gyrfalcon is flying at an elevation = y meters

then difference in their elevations = (y-x) meters

y - x > 23 - 15

y - x > 8

The eagle is flying at a lower elevation than the gyrfalcon.

Falcons called gyrfalcons are enormous. Although their wings are pointed, they are neither as slender or as sharp as the wings of lesser falcons.

Learn more on inequality calculations here https://brainly.com/question/11234618

#SPJ1

Table 2 is a many-one function and table 4 is also a many-one function.

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

We know a relation is not a function if two distinct ordered pairs have the same first coordinate.

The first table is not function as preimage 3 has two images namely

0 and 2.

The second table is a function and it is a many-one function.

A many one functions is a function in which the same preimages have different images.

The third table is also not a function as preimage 3 has two distinct images.

The fourth table is also a many-one function.

learn more about sets and Venn diagrams here :

https://brainly.com/question/28318748

#SPJ1

Answer:

6 + 2x

Step-by-step explanation:

Distributive property is multiplying a number outside a parenthesis to those inside the parenthesis, thus:

2(3 + x)

(2(3) + 2(x))

[6 + 2x]

The required center of the circle is at (7, -3) and the radius of the circle is 5.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
Given the equation of the circle:
(x-7)² + (y+3)² = 25

Compare the equation with the standard equation
Center of the circle
(-h, -k) = (-(-7), -(3))
(-h, -k) = (7, -3)

Radius,
r² = 25
r = 5

Thus, the required center of the circle is at (7, -3) and the radius of the circle is 5.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

The area of the quadrilateral is 14 square centimeters.

The quadrilateral is made up of two triangles.

Area of a triangle is expressed as;

1/2 × base × height.

Given that;

For the upper triangle

For the lower triangle

The area of the quadrilateral will be the sum of the area of the two triangles.

Area of quadrilateral = Area of upper triangle + Area of lower triangle

Area of quadrilateral = ( 1/2 × 4 × 4 ) + ( 1/2 × 4 × 3 )

Area of quadrilateral = ( 2 × 4 ) + ( 2 × 3 )

Area of quadrilateral = ( 8 ) + ( 6 )

Area of quadrilateral = 14cm²

Therefore, the area is 14cm².

Option D) 14 square centimeters is the correct answer.

Learn more about area of triangles here: brainly.com/question/19305981

#SPJ1

To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.

[tex]a) a⃗ +b⃗ = (2 + 3, -1 + 0, 1 + 5) = (5, -1, 6)\\b) a⃗ -c⃗ = (2 - 1, -1 - 4, 1 - (-2)) = (1, -5, 3)\\c) b⃗ -c⃗ = (3 - 1, 0 - 4, 5 - (-2)) = (2, 4, 7)\\d) 2a⃗ +3c⃗ = (2*2 + 3*1, -1*2 + 3*4, 1*2 + 3*(-2)) = (6, 6, -3)[/tex]

In 3-dimensional vector calculations, it is important to consider the components of the vectors along i^, j^, and k^. To calculate the sum of two vectors[tex]a⃗ , b⃗[/tex], we simply add the components of the vectors along all directions. Similarly, we can subtract two vectors by subtracting the components of the vectors along all directions. To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.

The complete question is :

Given the three 3-dimensional vector [tex]a⃗ =(2,−1,1), b⃗ =(3,0,5), and c⃗ =(1,4,−2)[/tex], where (x,y,z) are the components of the vectors along [tex]i^, j^, k^[/tex]respectively, calculate the following:

[tex]a) a⃗ +b⃗\\b) a⃗ -c⃗\\c) b⃗ -c⃗\\d) 2a⃗ +3c⃗[/tex]

Learn more about vector here

https://brainly.com/question/15709504

#SPJ4

330 liters of blood in the heart pump in 15 seconds as per the given ratio.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, A blue whale has a heart that pumps 220 liters of blood every 10 seconds.

Since a whale pumps 220 liters of blood every 10 seconds.

Whale pumps blood in 10 seconds = 220 liters

So,

Whale pumps blood in 1 seconds = 220/10 liters

Whale pumps blood in 1 second = 22 liters

Thus,

Whale pumps blood in 15 seconds = 22 * 15 liters

Whale pumps blood in 15 seconds = 330 liters

Therefore, 330 liters of blood in the heart pump in 15 seconds.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ1

Answer:e

Step-by-step explanation:e

Marcon harvested more pomelos than Lope, by 199.25 kilos.

To calculate this, we need to subtract the amount harvested by Lope from the amount harvested by Marcon.

First, we need to convert the amounts into the same unit of measure. Both amounts are in kilos, so no conversion is needed.

Next, we can subtract the amount harvested by Lope from the amount harvested by Marcon: 362.75 kilos - 163.5 kilos = 199.25 kilos.

This means that Marcon harvested 199.25 kilos more pomelos than Lope.

For more questions like Pomelos click the link below:

https://brainly.com/question/7130211

#SPJ4

The histogram with the narrow peak would be expected to contain more consistent numbers.

This is because the width of a histogram reflects the variability of the data that it represents. A histogram with a wide spread indicates that the data values are spread out and vary greatly, while a histogram with a narrow peak indicates that the data values are relatively consistent and cluster close together.

In a histogram with a widespread, the difference between the highest and lowest data values is large, indicating that the values are inconsistent and vary widely. On the other hand, in a histogram with a narrow peak, the difference between the highest and lowest data values is small, indicating that the values are more consistent and cluster closely together.

Learn more on the histogram:

https://brainly.com/question/2962546

#SPJ4

The general solution to the differential equation y'' - 2y' + y = 8e^-t is given by: y = c1e^(4t) + c2e^(-2t) + (4t + 1)e^-t.

The general solution to the  differential equation y'' - 2y' + y = 8e^-t can be found using the method of characteristic equations.

The characteristic equation is obtained by substituting y = e^rt into the differential equation: r^2e^rt - 2re^rt + e^rt = 8e^-t

Expanding the left side:

r^2e^rt - 2re^rt + e^rt = 8e^-t

r^2e^rt - 2re^rt + (1-8)e^rt = 0

Solving for the characteristic equation:

(r-4)(r+2) = 0

The characteristic equation has two roots, r = 4 and r = -2. These roots correspond to the two linearly independent solutions of the differential equation:

y = c1e^(4t) + c2e^(-2t)

where c1 and c2 are arbitrary constants.

Therefore, The general solution to the differential equation y'' - 2y' + y = 8e^-t is given by:

y = c1e^(4t) + c2e^(-2t) + (4t + 1)e^-t

where c1 and c2 are arbitrary constants determined by initial conditions or boundary conditions.

To learn more about the differential equation,

Visit; brainly.com/question/14620493

#SPJ4

The algorithm design technique best describes Dijkstra's SSSP algorithm is (c) Greedy.

Dijkstra's Single Source Shortest Path (SSSP) algorithm is considered a greedy algorithm because it makes locally optimal choices at each step in order to find the globally optimal solution. The algorithm starts from the source vertex and maintains a priority queue of vertices, where the priority of a vertex is determined by the length of the shortest path from the source to that vertex.

At each step, the algorithm chooses the vertex with the smallest priority, updates the distances of its neighbors, and adds them to the priority queue. This process continues until all vertices have been processed or a target vertex has been found. The algorithm always makes the choice that appears to be the best at the moment, with the goal of finding the shortest path from the source to all vertices.

To learn more about Dijkstra here:

https://brainly.com/question/6250959

#SPJ4

Answer:

Step-by-step explanation:

Last year:  $85

This year: 85 + 85(0.16) = $98.60

Year after that:  98.60 + 98.60(0.16) = $114.38

Answer:2(x +14) = 40 (use the distributive property)2x + 28 = 40 (solve exactly like you did for Fran)2x = 12x = 6

Step-by-step explanation:

Dinah can calculate the total amount she will pay, including tip, by adding the bill amount to 18% of the bill amount. Mathematically, this can be represented as 1.18b.

As per the data given in the question,

Percentage tip was given to waiter= 18%.

Let the total amount spent on food = b

So, the amount given to the waiter will be: 18% of b

So, for finding the amount we will first remove the percentage sign, for removing the percentage sign we will divide the given number by 100.

Thus, the amount given to waiter will be

=(18/100)*b

= 18b/100

=0.18b

So, the total amount spent will be equal to b+0.18b = 1.18b

For more questions on percentage

https://brainly.com/question/843074

#SPJ4

Answer:

41.1 cm

Step-by-step explanation:

1) Find the perimeter of the visible rectangle...

1) Find the perimeter of semicircles

We can put the semicircles together to make a whole circle so instead of finding the perimeter of both semicircles separately we can find the perimeter of a whole circle with radius 4.

3) Add the results

Have a lovely day :)

Total Perimeter of the figure is 41.13274 cm

Given that,

Length of a side = 4 cm

Now,

There are two semi circles being formed in the figure. If we add both it will form a circle.

The perimeter of the circle = Circumference of the circle

Circumference = 2 π r                         ( r  = 4 cm i.e. a side)

                         = 2 π * 4

                         = 8 π cm

and the four sides of the figure that are left, form a square,

so, the perimeter of the square = 4 * side

                                                     = 4 * 4 = 16 cm

Total Perimeter = 8π +16

                          = 41.13274 cm

Therefore, Total Perimeter of the figure is 41.13274 cm

Learn more about perimeter at

https://brainly.com/question/25092270

The linear function that passes through the points f(3)= -4 and f(5) = -4 is:

f(x) = -4

A general linear function can be written as:

f(x) = a*x + b

Where a is the slope and b is the y-intercept.

Here we know the two pairs:

f(3) = -4

f(5) = -4

So for the inputs x = 3 and x = 5 we have the same output, then we have a constant linear function that can be written as:

f(x) = 0*x - 4

f(x) = -4

Learn more about linear functions:

https://brainly.com/question/4025726

#SPJ1

Answer: $68 .85

Step-by-step explanation:

15/100 x 459/1

Simpify the 15/100 to 3/20

3/20 x 459/1

3 x 459 = 1377

1377/20 = $68 . 85

Hope that is correct

It i greater than the fraction one twelfth of 14,649 becaue mixed number one and eleven twelfth ha a denominator of 12. C is true statement.

To learn more about mixed number refer to:

https://brainly.com/question/13634422

#SPJ4

The correct option for the question is option d) Experience with the target

In the given example, a banker has done several transactions with Todd and found them to be economically prudent. Based on his interactions with Tedd, the lender is likely to categorize Todd as reckless and artsy. He was in this position to stereotype Todd because of the several dealings he had with him. As a result, it is an example of prior experience with the objective. As a result, the proper option is (d) Experience with the target. All other selections are inappropriate and incorrect.

The complete question is:

A banker who has done several deals with Todd McFarlane and the McFarlane Company and knew that the company tends to be fiscally conservative would be less likely to stereotype Todd McFarlane as a risky, artistic type. Which perceiver characteristic best explains this outcome?

a) Gender and emotional status

b) Needs and goals

c) Direction of glaze

d) Experience with the target

e) Cognitive load

Read more about Organizational behavior from:

https://brainly.com/question/16594349

#SPJ4

The equation of the plane is -5x + 5y - 3x = 25.

What is the equation of the plane?

A plane in mathematics is a flat, two-dimensional surface that extends infinitely in all directions. The equation of a plane is a mathematical representation that defines the position of the plane in space. It can be used to describe the relationship between the coordinates of the points that lie on the plane.

The equation of a plane can be found using the point-normal form, which is given by:

ax + by + cz = d

where (a,b,c) is the normal vector and (x,y,z) are the coordinates of a point on the plane.

In this case, we have the normal vector n = ⟨−5,5,−3⟩ and a point on the plane (5,−5,−1). To find the equation of the plane, we first need to find d, which can be found by substituting the coordinates of the point into the equation:

d = −5 * 5 + 5 * (−5) + −3 * (−1) = 25

So the equation of the plane can be expressed as:

-5x + 5y - 3z = 25.

Hence, the equation of the plane is -5x + 5y - 3x = 25.

To learn more about the equation of the plane, visit:

https://brainly.com/question/10524369

#SPJ4

The ordered pair (0, -2) best represents point S’ after the translation of triangle RST.

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

R (-2, 1) is mapped to point R’ (2, -4).

This means that

(x, y) = (x + 2 - -2, y - 4 - 1)

This gives

(x, y) = (x + 4, y - 5)

For the point S, we have"

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

S' = (-4 + 4, 3 - 5)

Evaluate

S' = (0, -2)

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

1 kilometer is equivalent to 0.621371 miles. 80 kilometers per hour is equivalent to 49.7097 miles per hour.

What is the speed of an object?

The distance an object travels in a unit of time is its speed. By dividing the distance traveled by an object by the time needed to travel that distance, one can determine its speed. As a result, this car will travel at a speed of 41 kilometers per hour.

Given that the speed of an object is 80 kilometers per hour.

It can be written like 80 kilometers/ 1 hour.

As 1 kilometer = 0.621371 miles

Multiply 0.621371 miles with 80 kilometers:

80 kilometers/ 1 hour = (80 × 0.621371) miles/ 1 hour.

80 kilometers/ 1 hour = 49.7097 miles/ 1 hour.

To learn more about the conversion of units, click on the below link:

https://brainly.com/question/24672317

#SPJ4

The size of the square of c is equal to the sum of the squares of a and b.

What is Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem.

When we know the values of at least two sides of a right angle triangle, we can apply this theorem to compute the missing side.

Due to that

[tex]c^{2} =a^{2} +b^{2}[/tex]

This denotes a relationship where the area of a square with one side is equal to the sum of a square with two sides. In other words, the square of c has the same area as the sum of the squares of both a and b.

Learn more about Pythagorean theorem here:

https://brainly.com/question/17052038

#SPJ1

Answer:

Step-by-step explanation:

c

Answer:

multiply the length value by 2.54

so the answer is 2.54

2.54 centimeters are equal to 1 inch. The solution has been obtained by using the unit conversion.

What is unit conversion?

The same characteristic is stated in a different unit of measurement by using a unit conversion. If you want to represent time or distance, for example, you could use feet rather than hours to indicate the time or the distance, respectively. Measurements are frequently requested in a different set of units than those they are delivered in, such as chains, but are provided in a different set, such as feet.

We are given 1 inch which is to be converted into centimeters.

Since,

⇒1 inch = 0.0254 meters

So,

⇒1 inch = 2.54 centimeters

Hence, 2.54 centimeters are equal to 1 inch.

Learn more about unit conversion from the given link

https://brainly.com/question/4158962

#SPJ4

the return period time of the flood is 1/0.06 = 100 years.The return period of the flood is 100 years.

Recurrence probability is the probability of an event occurring over a period of time. The return period is the expected length of time between occurrences of an event. To calculate the return period, divide 1 by the recurrence probability.

Therefore, the return period time of the flood is 1/0.06 = 100 years.

The return period of the flood is 100 years.

To calculate the return period of the flood, we need to take the inverse of the recurrence probability. For example, if the recurrence probability of the flood is 0.06, the return period of the flood is 100 years (1/0.06 = 100). This means that the flood is expected to occur once every 100 years on average.

Learn more about time here

https://brainly.com/question/28050940

#SPJ4