The Thompson family wants to plant grass, build a circular pool, and install a concrete walkway to the pool in their back yard.


How many square feet of grass will their backyard have once everything is installed?

Answers

Answer 1

The exact amount of grass will depend on the size of the backyard, how large the pool and walkway will be, and any other features that will need to be included.

The amount of grass the Thompson family will need to plant in their backyard will depend on the size of their backyard, as well as the size of the pool and walkway they plan to install. The larger the backyard, the more grass they will need. The size of the pool and walkway will also factor into the equation, as these will take up space in the backyard and reduce the amount of grass that can be planted. Additionally, any other features, such as a patio or deck, will also need to be taken into account, as these will also reduce the amount of grass that can be planted. Ultimately, the exact size of the grass area in their backyard will depend on all of these factors and can only be determined once these details are known.

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Related Questions

Write the inequality represented by the graph in standard form, y = ax^2 + bx + c.

Answers

Answer: The value of the coefficients a, b, and c will be 2, 2, and negative 24. And the sign will be (<)

Step-by-step explanation:

The value of the coefficients a, b, and c will be 2, 2, and negative 24.

And the sign will be (<).

How to get polynomials with zeroes?

Let a, b, c, and d are the zeroes of the polynomial.

Then the polynomial is given as,⇒ (x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes. From the graph, the zeroes are -4 and 3. Then the factor of will be (x + 4) and (x - 3). Then the polynomial 'y' is given as,y = a(x - 3)(x + 4)At (1, -20), we have- 20 = a(1 - 3)(1 + 4)- 20 = a (-2)(5)a = 2Then the inequality is given as,y < 2(x - 3)(x + 4)y < 2(x² + x - 12)y < 2x² + 2x - 24.

The value of the coefficients a, b, and c will be 2, 2, and negative 24. And the sign will be (<).

Why does the distance formula work?

Answers

In addition to many other things, it assists with the construction of new structures and with locating potential places and new routes for emergency situations. As a result, it's important to learn how to calculate the distance between two points in two and three dimensions.

In math, what is a distance?

The length of the segment of the line that connects the supplied two points determines the distance between them.

                      The shortest segment of a line connecting a point to a line will have a length equal to the distance between them.

Why does the distance formula work?

The Pythagorean Theorem, which states that a side plus a side plus a side equals a side equals a side equals a side equals a side equals a side equals a side equals a side equals a side, is where the Distance Formula actually originates (known as the legs of a right triangle).

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a right hexagonal prism has a height of 3 feet and each edge of the hexagonal bases is 6 inches. what is the sum of the areas of the non-hexagonal faces of the prism, in square feet?

Answers

The sum of the areas of the non-hexagonal faces of the prism is 9 square feet.

A right hexagonal prism has only one type of non-hexagonal faces: six rectangular faces.

Since the base of the hexagon is a regular hexagon, the length of each side of the base is 6 inches. Using the formula for the perimeter of a regular hexagon, P = 6*s

we can find that the perimeter of the hexagon is,

Perimeter = 6*6 inches = 36 inches = 36/12 feet = 3 feet

The total area of six rectangular faces is found by multiplying the length of the perimeter by the height of the prism.

Area= Perimeter* height

=3 feet * 3 feet

= 9 sqft

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Express sin x as a fraction in simplest terms.

Answers

Sin x = 2sin (x/2)cos (x/2) = 2(sin (x/2))/(cos (x/2)). This fraction is in its simplest form.

What is fraction?

Fraction is a mathematical concept that represents a part of a whole or a ratio between two numbers. It is expressed as a numerator (top number) over a denominator (bottom number). A fraction is a way to express a number that is not whole, such as 1/2, which is one half, or 3/4, which is three quarters. Fractions are used in many areas of mathematics, including basic arithmetic, algebra and geometry.

The expression sin x can be rewritten in simplest terms as a fraction using the trigonometric identity sin x = 2sin(x/2)cos(x/2).

Therefore, sin x = 2sin (x/2)cos (x/2) = 2(sin (x/2))/(cos (x/2)). This fraction is in its simplest form.

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A new car is purchased for $ 50 , 000 $50,000 and over time its value depreciates by one half every 5 years. What is the value of the car 7 years after it was purchased, to the nearest hundred dollars?

Answers

The value of the car 7 years after it was purchased to the nearest hundred dollars as required is; $18,900.

What would be the value of the 7 years after?

It follows from the task content that the car in discuss depreciates by one half every 5 years.

Hence, since the exponential function which represents the situation can be modelled as;

V = 50,000 (1/2)^(7/5)

V = 50,000 × 0.378929141

V = 18,946.45708.

Hence, the value of the car 7 years after would be; $18,900 (rounded to the nearest hundred dollars).

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Logan rode his skateboard 3,200 meters southwest, from his house to Elizabeth's house. It
took him 4 minutes to skate one-quarter of the way to her house at a constant velocity. What
was his velocity?

Answers

From Logan's home to Elizabeth's home, he skateboarded 3,200 metres to the southwest. He skated quarter of the way to her house at a consistent speed in 4 minutes. 200 meters / minute is the Velocity.

How can you determine velocity?

The vector quantity velocity (v) quantifies displacement (or change in position, s), over change in time, according to the equation v = s/t (t). According to the equation r = d/t, speed (or rate, r) is a scalar quantity that indicates the amount of time (t) spent traveling across the distance (d).

You can determine an object's beginning velocity by dividing the total distance travelled by the time it took the object to travel a specific distance. In the equation V = d/t, d stands for distance, t for time, and V for velocity. An object's velocity determines how quickly it moves. It can be defined as the position change of an item divided by time.

Given total distance = 3200 meters,

one - fourth of 3200 = 800 meters,

Time taken = 4 minutes

Velocity = Distance / Time

Velocity = 800 meters / 4minutes,

Velocity = 200 meters / minute

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Make a stem-and-leaf plot for each set of data.
68, 73, 66, 76, 86, 74, 61, 89, 65, 90
136, 142, 105, 147, 126, 109, 118, 111, 129, 115, 128, 138

Answers

stem-and-leaf plots for the sets of data are attached.

What is stem-and-leaf plot?

In a stem and leaf plot, the values of the data are divided into a stem and a leaf, creating a singular table. The initial digit or digits are written in stem format, and the final digit is written in leaf format.

Data can be arranged in a way that makes it simple to see the frequency of various sorts of values using a stem and leaf plot, also known as a stem and leaf diagram. It is a graph with numerical data displayed in a sequential manner. Each value of the data is divided into a stem and a leaf.

A stem and leaf plot is depicted as a customised table with each data value's initial or last digit divided into a stem and the leaf's final digit.

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Which statement does the diagram prove?
A Four times the area of triangle M is equal to the sum of the areas of squares K and L.
B The area of square K is equal to the sum of the areas of square L and triangle M.
The area of square P is equal to the sum of the areas of squares K and L.
D Four times the area of triangle M is equal to the area of square P.

Answers

The sum of the areas of squares K and L equals the area of square P.

What are the area rules?

The surface of a shape's surface is measured by its area. The length and width of a rectangle or square must be multiplied to determine their respective areas. A has a perimeter of x by y.

The rectangle was chopped diagonally in the diagram, creating two squares and four right triangles.

To discover which statement is true, take the following steps:

Figure 1 shows the areas of four triangles that are identical to one another and the sum of the remaining squares K and L.

The area of the square P is equal to the area of the triangle 4 in Figure 2.

The area of square P is equal to the sum of the areas of squares K and L, as shown by the above conclusion.

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For what value of k will the following pair of linear equations have infinitely many solutions ∶ 10x 5y − K − 5 0 ∶ 20x 10y − k 0?

Answers

The value of k at which there are an infinite number of solutions to the equation is -10.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 = 2.

Here,

For infinitely many solutions,

a1/a2  =  b1/b2  =  c1/c2

therefore, 10/20 = 5/10 = (-k-5)/(-k)

⇒1/2 = -(k+5)/-(k)

⇒ 1/2  =  k+5/k

⇒  k =  2(k+5)

⇒  k = 2k + 10

⇒ -10= 2k - k

⇒ k = -10

The value of k for which the equation have infinitely many solutions is -10.

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When Lakeesha solved the equation from problem 6-54, she reasoned this way: "Since groups of equals 3 groups of , then I know that each group of must equal. "

Answers

The value of x that we get after solving this equation 3(x+1)=12 is 3.

An equation is a mathematical statement that expresses the equality of two expressions using an equal sign (=).

3(x+1)=12

3x+3=12

x+1=4 ( dividing 12 by 3)

x=4-1

x=3 (subtracting 1 from 3)

quadratic equation:

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b and c are real numbers and a ≠ 0. It is called a quadratic equation because it involves a squared variable, x². The solutions of the equation, if they exist, are called the roots of the equation.

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The correct question should be: When Lakeesha solved the equation 3(x+1)=12 from problem 6-54,she reasoned this way: "Since 3 groups of (x+1) equals 3 groups of 4, then I know that each group of (x+1) must equal 4." Find the value of x.

What is the equation of this trend line?


Enter your answers by filling in the boxes.


N = ? M +?

Please Help! :)

Answers

The equation of this trend line is, N = -2M + 110.

What is this trend line's equation?

A linear relationship is depicted by a trend line. Y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept, is the equation for a linear relationship.

Step1:

we use the form

y = m x+ b

Find b by looking at the start point, in this case: 110. So we have:

y = m x + 110

Then, we see that it is a decreasing line, so we know that m < 0.

Filling in

x=20

Gives y = 70, so solve the (function) equation:

f(20)=70

20 * m+110=70

20 m +110=70

20m=-40

m = - 2

Therefore the formula is:

n = - 2m  + 110

Or:

N = - 2M + 110

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Question 1
Write the function x³ - 13x² + 52x - 60 in factored form knowing that one of the roots is 5.
O(x+6)(x + 2)(x + 5)
O(x+4)(x + 6)(x + 3)
O (x - 5)(x-2)(x-6)
2 pts
O(x-6)(x-3)(x+4)

Answers

The factorization of the function us (x-2)(x-5)(x-6).

What is factorization of the expression?

To factorise an algebraic statement, we first identify the terms' highest common factors and then arrange the terms into groups in accordance with those groups. In plain English, factorization is the process through which an algebraic expression gets expanded in the opposite direction.

Here the given function is ,

=> [tex]x^3-13x^2+52x-60[/tex]

=> [tex]x^3-2x^2-11x^2+22x+30x-60[/tex]

=> [tex]x^2(x-2)-11x(x-2)+30(x-2)[/tex]

=> [tex](x-2)(x^2-11x+30)[/tex]

=> [tex](x-2)(x^2-5x-6x+30)\\[/tex]

=> [tex](x-2)(x(x-5)-6(x-5))[/tex]

=> (x-2)(x-5)(x-6)

Hence the factorization of the function us (x-2)(x-5)(x-6).

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Shayla created two patterns. Pattern X increases by 7 each time. Pattern Y increases by 5 each time. Shayla used the corresponding values in each
pattern to make coordinate pairs. She graphed the coordinate pairs on a coordinate plane.

Answers

Answer:

45

Step-by-step explanation:

since you increase the x-value by 7 each time you must figure out how many 7's go into 63, which is 9

to get the matching y-coordinate to 63, multiply 5 by 9 to get 45

In slope intercept form

Answers

Answer:

y = mx + b

Step-by-step explanation:

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

y=mx+b! m is the slope, b represents the y value of the lines y-intercept

The Americans with Disabilities Act states that ramps must have an angle less than or equal to 4.8 degrees. Remember, a 4.8 degree angle in a right Americans with Disabilities Act requirements

Answers

The angle of elevation will this ramp have 5.74 degree.

What is Angle of Elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

The angle of elevation is the angle made by the line of sight and the horizontal when the object is above the level of the horizontal.

Given:

[tex]\theta_{max[/tex] = 4.8 degree

Perpendicular = 2.5 feet

Using Trigonometry

sin [tex]\theta_{max[/tex]  = P/ H

sin 4.8 = 2.5/ H

0.084 = 2.5/ H

H= 2.5/ 0.048

H = 29.76.

Hence, 25 feet is not enough for the length of ramp .

Then, the Angle elevation should be

[tex]\theta[/tex] = [tex]sin ^{-1}[/tex](2.5/25)

[tex]\theta[/tex] = 5.74 degree

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The complete is shown below:

A builder needs to install a ramp to reach a door that is 2.5 feet off the ground.

Is 25 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?

How do you find the unknown measure?

Answers

Use the sum of 180 degrees to calculate the unknown angle's measurement. If two angles are specified, add the two together before deducting 180 degrees. Divide by two after removing the known angle from 180 degrees if two angles are the same but unknown.

A figure made up of two rays or line segments is called an angle. Angles on items are visible all around us. The vertex of the angle is the place where the two rays that make up the angle meet. The arms of the angle are the two rays that make up the angle.

Acute, right, obtuse, straight, reflex, zero, and full angles are some of the numerous types of angles based on how they are measured.

Complementary angles are any two angles whose sum of the angles is 90. Complementary angles don't always have to be next to each other; they can be be two independent angles with a sum of 90 degrees.

When two angles sum up to 180, they are referred to as supplementary angles. Supplementary angles don't always have to be next to each other; they can be be two different angles that add up to 180 degrees.

The opposing angles created when two lines connect are known as vertical angles. Angles vertically are consistently equal.

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OF 100 students 65 are members of a mathematics club and 40 are members of a physics club if 10 are members of neither club how many students are members os a)both clubs b) maths only c)physics only

Answers

Answer:

C. physics only

[tex]\it 100-10=90\ students\ are\ members\ of\ the \ clubs\\ \\ 65+40-90=15\ students\ are\ members\ of\ both \ clubs\\ \\ 64-15=50 \ students\ are\ members\ of\ the \ math\ only\\ \\ 40-15=25\ students\ are\ members\ of\ the \ physics\ only[/tex]

Can an equation have more than one extraneous solution?

Answers

Yes, a logarithmic equation can have more than one extraneous solution.

An equation involving the logarithm of an expression containing a variable is known as a logarithmic equation. It is possible for a logarithmic equation to have more than one extraneous solution and the logarithms of positive numbers only exist.

For example,

log(x-5) + log(x-2) = 1

log((x-5)(x-2)) = 1

(x-5)(x-2) = 10¹

(x-5)(x-2) = 10

x² - 7x + 10 = 10

x² - 7x = 0

x(x - 7) = 0

x = {0, 7}

0 is an "extraneous" solution because you cannot plug it back into the original equation.

The solution is x = 7.

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Write an equation of the line in point-slope form with the given slope and the point it passes through.
Slope=(2,-1)

Answers

y + 1 = -3 (x - 2) an equation of the line in point-slope form with the given slope and the point it passes through, slope=(2,-1)

What is slope?

An indication as to how sharp a line is its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x). The ratio of the increase in elevation between two places to the run in elevation between those same two points is referred to as the slope.

Slope-related equations The "change in y" over the "change in x" of a line is referred to as the slope. By dividing (y₂ - y₁) over (x₂ - x₁) and choosing two locations on the line (x₁, y₁) and (x₂, y₂), you can get the slope.

The point-slope formula states: (y₂- y₁) = m (x₂ - x₁)

where, m = slope and (x₁, y₁) is a point the line passes through.

Substituting the slope and values from the point in the problem gives:

[y₂- (-1)] = -3 (x₂ - 2)

y + 1 = -3 (x - 2)

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The complete question is as follows:

How do you write the equation in point slope form given (2,-1), m= -3?

What does f (- 3 mean?

Answers

f(-3) is function notation that represents the value of the function, f, at x = -3. In order to find f(-3), you need the rule of the function.

if f(x)=3x^2, the value of f(-3) is 3(-3)^2, which is 27.

Now, According to the question:

What is the definition of an equation in math?

An equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

The value of f(-3) is found by substituting -3 into the equation per variable, solving and simplifying as needed, to get the answer.

For instance if f(x)=3x^2, the value of f(-3) is 3(-3)^2, which is 27.

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a rectangular room is 14 feet by 20 feet. the ceiling is 8 feet high. a. find the length and width of the smaller wall. 14 by 8 (express your answer in feet) b. find the area of the smaller wall. 112 (express your answer in square feet) c. find the area of the larger wall. 160 (express your answer in square feet) d. find the total area of the four walls in the room. 544 (express your answer in square feet) e. if a gallon of paint costs $36.50 and it covers 350 square feet on average, what is the cost of painting the room walls with two coats of paint? $73.00 f. this room is well-insulated and is on the north side of the house. how large an air conditioner would this room require? round to the nearest thousand btus. 6,000

Answers

a) The length and width of the smaller rectangle wall (in blue colour) are 14 feet and 8 feet respectively.

b) Area of smaller wall of room is 112 ft².

c) Area of larger wall of room is 160 ft².

d)The total area of the four walls in the room is 544 ft².

e) Total cost of painting the room walls with two coats of paint is $ 146.

f) In thousand btus, 6000 btus sized air conditioner would this room require.

We have, a rectangular room 14 feet by 20 feet, ceiling is 8 feet high. See the above figure,

a) The blue is smaller wall (rectangle ) and brown is the largest wall.

Length of smaller wall ( in blue colour)

= 14 feet

Width of smaller wall = 8 feet

b) Area of rectangle is product of length and width of rectangle. So, Area of smaller wall(in blue colour) = 8 × 14

= 112 ft²

c) For Larger wall (in brown colour)

length = 20 feet and width = 8 feet

So, Area of larger wall = 8× 20 = 160 ft².

d) Total area of the four walls in the room = 2 ( area of smaller wall ) + 2 ( area of larger wall) = 2( 112) + 2( 160) = 224 + 320 = 544 ft².

e) The cost of one gallon of paint

= $36.50

One gallon paint covered approx. 350 square feet. Also, it is said that painting the room walls with two coats of paint that is painting become double = 2× 544 = 1088 ft²

Now, how many 350 ft² area are formed in 1088 ft² = 1088/350 = 3.108 ~ 4 ( because we can only buy a full gallon of paint not 0.1 gallons etc.).

Cost of painting the 350 ft² area = $36.50

Total cost of painting the room walls with two coats of paint i.e., 1088 ft² = 4× $36.50 = $ 146..

f) Now, we have this room is well-insulated and is on the north side of the house. To determine the size of air conditioner we need some parameters of room. If the room is well-insulated, then the level of insulation is 10 and if the room is poorly insulated, then the level of insulation is 18. In this case the level of insulation is 10, i = 10. If the room faces north, then the exposure is 16. In this case, the room faces north and thus the e = 16. We can then determine the BTU rating. BTU rating = (w×h×i×l×e)/60

= (14 x 8 x 10 x 20 × 16)/60

= 358, 400/60

= 17,920/e = 17,920/16

≈ 5,973 ~ 6000

Hence, required air conditioner size is 6,000.

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What is the value of StartFraction 1 Over 6 Superscript 0 EndFraction

Answers

The value of the expression [tex](1/6)^0[/tex] is 1.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

[tex](1/6)^0[/tex]

Anything to the power zero is always 1.

Thus,

The value is 1.

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Price of Bagels
A shop sells bagels for $5
per dozen. You can use the
table to answer the
questions. Explain your
reasoning.
1. At this rate, how much
would 6 bagels cost?
2. How many bagels can
you buy for $50?
Mathematic
number of bagels price in dollars
12
5

PLEASE HELP MEEE TELL ME THE ANSWERS PLEASE

Answers

Answer:

9) $2.5 | 10) 120 Bagels

Step-by-step explanation:

For #9, a dozen equals 12, and 6 is half a dozen, so divide 5 by 2 = 2.5 dollars.

For #10, $5 per dozen, 50 ÷ 5 = 10, so 10 x 12 equals 120 bagels.

1. 30 2. 10 that’s your answer

A movie theater has a seating capacity of 217. The theater charges $5. 00 for children, $7. 00 for students, and $12. 00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1558, How many children, students, and adults attended?

Answers

The probability that the theater had 108 children, 108 students, and 54 adults attend, for a total of $1558 in ticket sales.

Total ticket sales = $1558

Adult ticket sales = $12 x 54 = $648

Remaining ticket sales = $1558 - $648 = $910

Student ticket sales = $7 x 108 = $756

Children ticket sales = $910 - $756 = $154

Children = $154 / $5 = 108

Students = $756 / $7 = 108

Adults = 108 / 2 = 54

The theater had a total ticket sales of $1558, with adults tickets being $12 each. By subtracting the adult ticket sales from the total, we get the remaining ticket sales. We then divide this by the student ticket price of $7 to get the number of students. Subtracting this from the remaining ticket sales gives us the amount of children ticket sales. We divide this by the children ticket price of $5 to get the number of children. Finally, we divide the number of adults by 2 to get the number of adults.

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The Ecology Club wants to collect 200 bags of trash for a cleanup. Before lunch they collected 87 bags. After lunch they collected 95 more bags. How many more bags does the club need to reach 200 bags total?

Answers

Answer: 18

Step-by-step explanation:

87 plus 95=182

200-182=18

in a communication system each data packet consists of 1000 bits. due to the noise, each bit may be received in error with probability 0.1. it is assumed bit errors occur independently. find the probability that there are more than 120 errors in a certain data packet.

Answers

The probability that there are more than 120 errors in a certain data packet is:

P(X > 120) = 1 - P(X <= 120)

We are given, each data packet consists of 1000 bits. Due to noise, each bit may be received in error with a probability of 0.1. It is assumed that bit errors occur independently. The goal is to find the probability that there are more than 120 errors in a certain data packet.

To find the probability that there are more than 120 errors in a data packet, we can use the cumulative distribution function (CDF) of the binomial distribution:

P(X > 120) = 1 - P(X <= 120)

The number of errors in a data packet can be modeled as a binomial random variable with n = 1000 (number of bits in the packet) and p = 0.1 (probability of a bit error).

Where X is the number of errors in the data packet.

The cumulative distribution function of the binomial distribution can be calculated using the formula:

      P(X <= k) = Summation(i=0 to k) ( (n choose i) * (p^i) * ((1-p)^(n-i)) )

Plugging in the values we get:

P(X > 120) = 1 - P(X <= 120) = 1 - (summation(i=0 to 120) ( (1000 choose i) * (0.1^i) * (0.9^(1000-i)) ))

This computation can be done using a computer program on the computer.

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2. Find the measure of x, y, and zº:
35%
X/Yº
700
29

Answers

Answer:

Z=44° X=114° Y=66°

Step-by-step explanation:

Angles in a triangle add up to 180

31°+35°+x°=180°

66°+x°=180°

x°=180°-66°

x°=114°

Angles on a line add up to 180°

x°+y°= 180°

where x°=114°

114°+y° =180°

y°=180°-114°

y°=66°

Angles in a triangle add up to 180

z°+y°+70°=180°

where y=66°

z°+66°+70°=180°

z°+136°=180°

z°=180°-136°

z°=44°

3 Work in pairs. Answer the questions.
1
How is Paulina going to spend her vacation?
What reason does she give?
2
What are the benefits of her plan?

Answers

Answer:

Step-by-step explanation:

Write a positive or negative integer that represents the situation.

You walk up 83 stairs.

Answers

we can write walk up 83 stairs as a positive integer +83/83.

What are integers?

Integers are the collection of whole numbers and negative numbers. Similar to whole numbers, integers also does not include the fractional part. Thus, we can say, integers are numbers that can be positive, negative or zero, but cannot be a fraction. We can perform all the arithmetic operations, like addition, subtraction, multiplication and division, on integers. The examples of integers are, 1, 2, 5,8, -9, -12, etc. The symbol of integers is “Z“.

Integers come in three types:

Zero (0)

Positive Integers (Natural numbers)

Negative Integers (Additive inverse of Natural Numbers)

As we write walking down in negative integers and walking up in

positive integers.

Hence,

  we can write walk up 83 stairs as a positive integer +83/83.

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Please help will give brainliest


1. Which ones are equivalent

-30/6, -6/-30, -5, -c -1/-5, -45/-9, -40/8

2. What is A + B from the distance of zero.

3. Kyle starts with 100 in his bank account. He deposited 50, withdrew 20, deposited 60, and withdrew 70. How much money does Kyle have now?

4. The model is in the picture
Options

A -2 (4)
B 2 (-4)
C -2 (-4)
D -8/4
E -8/2

Answers

Those that are less than 0 are considered negative numbers. Positive numbers have a negative counterpart, and negative numbers have a positive counterpart.

What is the distance from zero?As opposed to being equal, the equivalents are -30/6 = -5 , -5 = -5 and -40/8 = -5. In contrast to equivalent, which means similar but not the same, equal denotes the same in every respect.A number's distance from zero on the number line represents its absolute value. As -7 is 7 units away from 0, its absolute value is 7, making it. Since it is 5 units away from 0, the absolute value of 5 is 5. Any figure less than zero is considered to be negative.Kyle opens his bank account with $100. He made three deposits: fifty dollars, twenty dollars, and seventy dollars. Kyle now has 120 rupees.To visualize and resolve arithmetic difficulties, models or illustrations can be helpful. A number block can be a part of a model.

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