pls help probability
math

Pls Help Probabilitymath

Answers

Answer 1

The given table is studied and the probability for each case of the question is found as given below.

What is meant by probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. It is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

1) Earning 10000 - 13000 per month and owning exactly 2 vehicles.

Number of families surveyed = 2400

Number of families earning  10000 - 13000 per month and owning exactly 2 vehicles = 29

Therefore required probability = 29/2400 = 0.0121

2)  Earning 16000 or more per month and owning exactly 1 vehicle.

Number of families surveyed = 2400

Number of families earning 16000 or more per month and owning exactly 1 vehicle  = 579

Therefore required probability = 579/2400 = 0.241

3) Earning less than 7000 per month and does not own any vehicle.

 Number of families surveyed = 2400

Number of families earning less than 7000 per month and does not own any vehicle = 10

Therefore required probability = 10/2400 = 1/240

4) Earning 13000 - 16000 per month and owning more than 2 vehicles.

   Number of families surveyed = 2400

Number of families earning 13000 - 16000 per month and owning more than 2 vehicles = 25

Therefore required probability = 25/2400

5)  Number of families surveyed = 2400

Number of families owning not more than 1 vehicle = Number of families owning 0 vehicles + Number of families owning 1 vehicle

= (10+0+1+2+1)+(160+305+535+469+579)

= 2062

Therefore required probability = 2062/2400  = 0.86

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Related Questions

mary bought a few items for $24. after tax the total bill was $25.44. what percent tax was she charged

Answers

Answer:

I think 6.5 % tax.

Step-by-step explanation:

Answer:

Mary was charged a 6% tax

Step-by-step explanation:

To find the percentage tax Mary was charged, we need to determine the amount of tax she paid and then calculate that as a percentage of the original purchase price.

We know that the total bill after tax was $25.44, and the purchase price before tax was $24, so the tax paid must be:

$25.44 - $24 = $1.44

To find the percentage tax charged, we need to divide the tax paid by the original purchase price, then multiply by 100 to express the answer as a percentage:

($1.44 / $24) x 100% ≈ 6%

Therefore, Mary was charged a 6% tax.

At Luehrs Middle School, 112 sixth-grade students have a dog as a pet; this represents 35% of the sixth-grade students. How many sixth-grade students are at Luehrs Middle School? Responses

Answers

Answer:

its 320

Step-by-step explanation:

The total number of many sixth-grade students at Luehrs Middle School found using the percentage is 320.

What is meant by percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. There is no dimension to percentages. As a result, it is known as a dimensionless number.

Given,

Number of students in sixth grade who has a pet dog = 112

The percentage of sixth grade students who has a pet dog = 35%

Let the number of total sixth grade students be x.

Percentage

= (Number of students with pet dog/Total number of sixth grade students *    100

35 = (112/x) * 100

35/100 = 112/x

x = (100/35) * 112 = 320

Therefore the total number of many sixth-grade students at Luehrs Middle School found using the percentage is 320.

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what is ounces in a wuart?

Answers

A quart contains 32 ounces. This is true for both dry and liquid ounces.

In the United States, the conventional system of measurement—in which dry measurements are reported in weight ounces and volume measurements are given in fluid ounces—is frequently employed. Four cups, two pints, or 32 fluid ounces make up a quart.

It's crucial to keep in mind that the density of a component might affect how much an ounce weighs when weighing dry ingredients.

For instance, due to the difference in their densities, one fluid ounce of flour will weigh less than one fluid ounce of sugar. Nonetheless, regardless of the density, each fluid ounce has a standard weight when measuring volume using fluid ounces.

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The question is -

what are ounces in a quart?

Nicole and Alberto are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and packages of crocus bulbs. Nicole sold 7 packages of tulip bulbs and 7 packages of crocus bulbs for a total of $63. Write the equation to represent Nicole's sales. Alberto sold 14 packages of tulip bulbs and 1 pacage of crocus bulbs for a toal of $61. Write the equation to represent Alberto's sales. (Use the variables T and C) Find the cost of tulip bulb packages Find the cost of crocus bulb packages

Answers

Nicole's equation: 7T + 7C = 63Alberto's equation: 14T + C = 61Cost of tulip bulb packages = $8.71Cost of crocus bulb packages = $4.43

What is meant by cost?

Cost can refer to the amount of money or resources used in the production of a good or service, or the amount of money or resources used in the completion of a project. Generally, cost is the total amount of money or resources required to do something. Cost can be calculated by adding up the costs of each resource used or by multiplying the quantity of each resource used by the cost of that resource. Cost can also be determined by using a cost estimating technique, such as a cost-benefit analysis.

Nicole's equation: 7T + 7C = 63

Alberto's equation: 14T + C = 61

Cost of tulip bulb packages = (63 - 7C) / 7

To calculate the cost of tulip bulb packages, take the total amount of Nicole's sales ($63) and subtract the cost of the crocus bulb packages (7C). Then we divide the result by the number of tulip bulb packages (7).

Cost of crocus bulb packages = (61 - 14T) / 1

To calculate the cost of crocus bulb packages, take the total amount of Alberto's sales ($61) and subtract the cost of the tulip bulb packages (14T). Then we divide the result by the number of crocus bulb packages (1).

Cost of tulip bulb packages = $8.71

Cost of crocus bulb packages = $4.43

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i need help....correct answer gets brainliest.

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The area of given triangle whose base is 2 ft and height is 3/4 ft  is [tex]\frac{3}{4} ft^2[/tex] .

Area of Triangle:

The total area that is bounded by a triangle's three sides is termed as the triangle's area. In general, it is equal to 1/2 of the height times the base, or A = 1/2 b h. So, in order to get the area of a triangular polygon, we must first determine its base (b) and height (h).

In the given figure , we have,

Base = 2 ft

Height = 3/4 ft

Then , Area of Triangle,

[tex]=\frac{1}{2} *base *height\\\\=\frac{1}{2} *2 *\frac{3}{4}\\ \\=\frac{3}{4} ft^2[/tex]

So , Thus, the provided triangle's area is  [tex]\frac{3}{4} ft^2[/tex] .

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all real solutions for 8x^3-27x^2-50x+75x=0

Answers

To find all real solutions of the equation 8x²3 - 27x²2 - 50x + 75 = 0, we can factor it by grouping

How to do that?

8x²3 - 27x²2 - 50x + 75 = 0

=> (8x²3 - 50x) - (27x²2 - 75) = 0

=> 2x(4x²2 - 25) - 3(9x²2 - 25) = 0

=> (2x - 3)(4x²2 - 9x + 15) = 0

Using the quadratic formula to solve the quadratic factor, we get:

4x²2 - 9x + 15 = 0

=> x = [9 ± sqrt(81 - 4(4)(15))] / (2(4))

=> x = [9 ± sqrt(-191)] / 8

Since the discriminant of the quadratic factor is negative, it has no real roots, and therefore, the only real solution of the equation is:

x = (2x - 3) = 0

=> x = 3/2

Therefore, the only real solution of the equation 8x²3 - 27x²2 - 50x + 75 = 0 is x = 3/2.

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Cones A and B both have volume 48 pi cubic units, but have different dimensions. Cone A has radius 6 units and height 4 units. Find one possible radius and height for cone B. Explain how you know Cone B has the same volume as Cone A. Can leave in terms of I

Answers

Volume of Cone B is 48 π³ units. We know both cones have same volume because we used the volume formula for cones to equate the volumes of the two cones.

 

To find the dimensions of Cone B, we need to use the formula for the volume of a cone, which is:

Volume=(1/3) × π × radius² × height

Since the volume of Cone A and Cone B are the same (48 π³ units), we can set up the following equation:

(1/3) × π × 6² × 4

=(1/3)× π × r² × h

Simplifying the equation, we get:

r² × h = 72

We can choose any values of r and h that satisfy this equation. For example, we could choose r = 4 units and h = 9 units. When we enter these numbers into the equation, we obtain:

4² × 9 = 72

This is a valid solution, as Cone B with radius 4 units and height 9 units would have a volume of: Volume = (1/3) × π × 4² × 9 = 48 π³ units

Therefore, Cone A and Cone B have the same volume of 48 π³ units, which we know because we used the volume formula for cones to equate the volumes of the two cones.

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8. Write the equation of the vertical line that goes
through the point (-3,8)

Answers

Answer:

x = -3

Step-by-step explanation:

A vertical line has an undefined slope and its equation can be written as x = a, where 'a' is the x-coordinate of any point lying on the line. This is because all points on a vertical line have the same x-coordinate.

In this case, we are looking for the equation of the vertical line that passes through the point (-3, 8). Since this line is vertical, its equation will be of the form x = a, where a is the x-coordinate of any point on the line.

We can see that the x-coordinate of the point (-3, 8) is -3, so the equation of the vertical line passing through this point will be:

x = -3

And that's the answer. The equation of the vertical line passing through the point (-3, 8) is x = -3.

PLEASE HELP
Roberta grows pea plants, some in shade and some in sun. She picks 8 plants of each type at random and records the heights.

Shade plant heights (in.) 7 12 10 12 9 12 10 8
Sun plant heights (in.) 19 24 19 19 23 24 20 20

Express the difference in the means as a multiple of their ranges.
The difference in the means is
times the ranges.

Answers

The difference in the means is times the ranges. (19-9)/(24-7)=10/17 = 0.588235294, or slightly more than half a time the ranges of the two samples.

What is height?

Height is the measure of vertical distance, either how "tall" something or someone is, or how "high" the point is. For example, a person's height is typically measured using a stadiometer and is recorded in centimeters or feet and inches. The height of a mountain is usually measured in meters or feet. In aviation, height is measured from the surface of the earth, either above ground level (AGL) or above mean sea level (AMSL).

This means that the mean of the sun plants is more than half a time the range of the two samples larger than the mean of the shade plants.

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test Allie did push-ups every weekday this week. She did 8 push-up Monday, 14 push-ups on Tuesday, 18 push-ups on Wednesday on Thursday, and 8 push-ups on Friday. Find the median number of push-ups. push-ups Repor​

Answers

The median number of push-ups that Allie did this week is 12.
I think the number for median is 12

Math question...pls help!

Answers

The value of the missing angle 1 is 59⁰.

What is the measure of angle 1?

The value of the measure of angle 1 is calculated by applying the concept of sum of angles in a triangle and sum of angles on a straight line.

The measure of the angle adjacent to 139⁰ is determined as follows;

? + 139⁰ = 180⁰  ( sum of angles in a triangle )

? = 180 - 139

? = 41⁰

The value of the missing angle 1 is calculated as follows;

m∠1 + 41⁰ + 80⁰ = 180 ( sum of angles in a triangle )

m∠1 + 121 = 180

m∠1  = 59⁰

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Researchers for a company that manufactures batteries want to test the hypothesis that the mean battery life of their new battery is greater than the known mean battery life of their older version. The researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample. Which of the following is an appropriate test for the researchers' hypothesis? A. A one-sample z-test for a population mean B. A one-sample t-test for a population mean C. A one-sample z-test for a population proportion D. A matched-pairs t-test for a mean differenceE. A two-sample t-test for a difference between means

Answers

The other possibility is that the new battery will last longer on average than the known average battery life of the previous model. A one-sample t-test for a population mean is an appropriate test for the researchers' hypothesis. So, option B. is the correct choice.

The researchers are interested in comparing the mean battery life of the new batteries to the known mean battery life of the older version. Since the sample size is relatively small (n=32), and the population standard deviation is unknown, a t-test is appropriate for testing the hypothesis.A one-sample t-test for a population mean is used to compare a sample mean to a known or hypothesized population mean when the population standard deviation is unknown. In this case, the null hypothesis would be that the mean battery life of the new battery is equal to or less than the known mean battery life of the older version, and the alternative hypothesis would be that the mean battery life of the new battery is greater than the known mean battery life of the older version

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Solve. If all numbers are solutions, say all real. If there is no solution click on no solution.

Answers

This is the set of all real numbers except those between -8 and 4 (inclusive), since the absolute value of y+2 cannot be greater than 6 if y is between -8 and 4.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equivalent. But various inequalities are used to compare the values, whether it is less than or larger than.

According to question:

First, we can simplify the left side of the inequality by distributing the absolute value:

8|y+2| - 3 > 45

8|y+2| > 48

Then, we can isolate the absolute value by dividing both sides by 8:

|y+2| > 6

This inequality means that $y+2$ must be either greater than 6 or less than -6:

$$ y+2 > 6 \text{ or } y+2 < -6 $$

Simplifying each of these inequalities, we get:

y > 4 or y < -8

Therefore, the solution set for this inequality is:

[tex]$$ \boxed{(-\infty, -8) \cup (4, \infty)} $$[/tex]

This is the set of all real numbers except those between -8 and 4 (inclusive), since the absolute value of y+2 cannot be greater than 6 if y is between -8 and 4.

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b) The sum of the age of two sisters is 20 years. If one of them is 4 years younger than other, find their age.​

Answers

Step-by-step explanation:

is mentioned above.. If you get some knowledge or liked it.please rate the answer

describe the translation that maps each preimage to its image in (a) coordinate notation and (b) as a vector in component from

Answers

(a) The translation in coordinate notation is (x', y') = (x-4, y-3)

(b) The translation as a vector in component is [tex]\vec v = \vec w + ( -4\hat i -3\hat j)[/tex].

The solution has been obtained by using the concept of transformation.

What is transformation?

A transformation is any operation that shifts a polygon or other two-dimensional object on a plane or coordinate system.

The two-dimensional shape that existing before any modification is referred to as the "inverse image" or "pre-image." The image is a representation of the altered shape.

From the given figure, we can see that the quadrilateral W'X'Y'Z' has been formed by translating quadrilateral WXYZ 4 units in x direction and 3 units in y direction.

So, the translation in coordinate notation is (x', y') = (x-4, y-3) and as a vector in component is [tex]\vec v = \vec w + ( -4\hat i -3\hat j)[/tex].

Hence, the required solution has been obtained.

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The missing figure for the question has been attached below.

Annie time running the race was 4.08 seconds less than karen time her goal was to complete the race in less than 39.50 seconds did she meet her goal

Answers

Answer:

No she didn't meet her goal

Step-by-step explanation:

Time taken by Karen = 43.52 seconds

Time taken by Annie = 4.08 seconds less than Karen or 43.52-4.08 = 39.44 seconds

No. Annie missed her goal by 0.06 seconds

How to convert 9kg to lbs

Answers

The, 9 kilograms is equal to approximately 19.84 pounds (rounded to two decimal places).

To convert 9 kilograms (kg) to pounds (lbs), you can use the following formula:

1 kg = 2.20462 lbs

So, to convert 9 kg to lbs, you can multiply 9 by 2.20462:

9 kg * 2.20462 lbs/kg = 19.84158 lbs

Therefore, 9 kilograms is equal to approximately 19.84 pounds (rounded to two decimal places).

"Kilograms" (kg) and "pounds" (lbs) are mass or weight measuring units.

The International System of Units' base unit of mass is the kilogramme (kg) (SI). The mass of a specific platinum-iridium alloy cylinder stored at the International Bureau of Weights and Measures in France is defined.

The pound (lb or lbs) is a popular measure of mass in the United States and other nations. One pound equals 0.45359237 kilos. The pound is often used to weigh objects such as humans, animals, and food.

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Please, Help me with this question

Answers

Answer:

You selected the correct answer.

Step-by-step explanation:

Find area and perimeter of the following shape. 250°
6 cm 2 cm​

Answers

The perimeter and the area for each shape are given below.

How to calculate the perimeter

For figure (i) there are 11 small square and area of each small square is 1 sq cm.

Area of the given figure =(11×1)cm =11 cm²

Perimeter of the given figure =(18×1)cm=18 cm

For figure (ii) there are 13 and area of each small square is 1 sq cm.

Area of the given figure =(13×1)cm =13 cm²

Perimeter of the given figure =(28×1)cm=28 cm

For figure (iii) there are 13 and area of each small square is 1 sq cm.

Area of the given figure =(13×1)cm =13 cm²

Perimeter of the given figure =(28×1)cm=28 cm.

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Need help asap please

Answers

1. The definition of cosigner of a loan is someone who will promise to pay the loan if the borrower doesn't.

2. She has made late payments which affects her character

3. The cosigner’s current financial situation

4. Capacity, collateral, character

5. The cosigner’s past record of paying on time.

6. They can't qualify for a loan by themselves.

7. The cosigner's financial assets, such as a house or car.

8.  They have a steady job.

9.  A person with a good credit history and a car and house.

What is the correct definition of cosigner of a loan

1.

The correct definition of a cosigner for a loan is (c) someone who will promise to pay the loan if the borrower doesn't. A cosigner is a person who signs a loan document along with the primary borrower and assumes equal responsibility for the repayment of the loan.

2.

The answer is (d) she has made late payments which affects her character. When someone cosigns a loan, they become equally responsible for repaying the loan. This means that the lender will evaluate the cosigner's creditworthiness and ability to repay the loan just as they would with the primary borrower. The lender will look at factors such as the cosigner's credit score, debt-to-income ratio, and payment history to determine if they are a suitable cosigner.

3.

The correct definition of capacity for potential cosigners is (d) the cosigner's current financial situation. Capacity refers to a cosigner's ability to repay the loan if the primary borrower defaults. The lender will assess the cosigner's income, assets, and liabilities to determine if they have the ability to take on the additional debt.

4.

The correct answer is (a) Capacity, collateral, character. Lenders evaluate a borrower or cosigner's creditworthiness and ability to pay back a loan by analyzing their capacity to repay the loan, the collateral they can offer to secure the loan, and their character.

Capacity refers to the borrower's or cosigner's current financial situation, including their income, job stability, and current debts. Lenders look at this information to determine whether the borrower or cosigner can afford to make payments on the loan.

Collateral refers to assets that the borrower or cosigner can pledge as security for the loan. This could be a car, house, or other valuable property. Lenders use this information to assess the risk of the loan and the likelihood that they will be able to recover the funds if the borrower or cosigner defaults on the loan.

Character refers to the borrower or cosigner's reputation and willingness to repay the loan. Lenders will often check credit reports, payment histories, and references to determine whether the borrower or cosigner is reliable and trustworthy.

5.

The correct definition of character for potential cosigners is (a) the cosigner’s past record of paying on time. Character refers to the borrower or cosigner's creditworthiness and willingness to repay the loan. Lenders will often check the credit report, payment history, and references of the cosigner to determine whether they are reliable and trustworthy.

6.

The correct answer is (a) they can't qualify for a loan by themselves. A borrower may need a cosigner to secure a loan if they do not meet the lender's credit requirements. This could be due to factors such as a low credit score, insufficient income, or a high debt-to-income ratio. By having a cosigner with good credit and financial stability, the borrower can improve their chances of being approved for the loan.

7.

The correct definition of collateral for potential cosigners is (a) the cosigner's financial assets, such as a house or car. Collateral refers to assets that the borrower or cosigner can pledge as security for the loan. This could include a car, house, or other valuable property.

8.

The criteria that makes a person a good cosigner is (b) they have a steady job. A good cosigner should have a stable and consistent income, which shows the lender that they have the financial means to repay the loan if the borrower cannot. This can include a full-time job or other consistent source of income.

9.

The best choice for a cosigner for a car loan would be (b) a person with a good credit history and a car and house. A cosigner with a good credit history and established financial assets can provide additional security for the lender and increase the likelihood of the loan being approved. The presence of collateral, such as a car and house, can also help to secure a lower interest rate for the loan.

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A track runner ran for 15 minutes, walked for 15 minutes, ran for another 20 minutes, and then stretched in place for 10 minutes.



Which graph describes the relationship between runner's total distance and time?



graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 2.4, and a horizontal line segment from 0.8 comma 2.4 to 1 comma 2.4


graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a line segment from 0.25 comma 1.25 to 0.5 comma 1.75, a line segment from 0.5 comma 1.75 to 0.8 comma 2.95, and a horizontal line segment from 0.8 comma 2.95 to 1 comma 2.95


graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 0.1, and a horizontal line segment from 0.8 comma 0.1 to 1 comma 0.1


graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a line segment from 0.25 comma 1.25 to 0.5 comma 1.75, a line segment from 0.5 comma 1.75 to 0.8 comma 2.95, and a line segment from 0.8 comma 2.95 to 1 comma 3.15

Answers

Please brainliest to help me:

The correct graph would be:

graph with the x-axis labeled time in hours and the y-axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 2.95, and a horizontal line segment from 0.8 comma 2.95 to 1 comma 2.95

This is because the runner covers a certain distance while running and another distance while walking. The horizontal line segments represent the time spent walking or stretching, where the total distance does not increase. The graph shows a steady increase in total distance during the running segments, with the total distance reaching a maximum of 2.95 miles.

A rectangular window is 36 inces and 24 wide. Martina would like to buy a screen for the window. The cost of the screen is based on the number of square feet the screen is. Use the facts to find the area of the window in square feet.

Answers

Step-by-step explanation:

1 ft = 12 in

so,

36 in = 36/12 = 3 ft

24 in = 24/12 = 2 ft

therefore, the area of the rectangle is

3×2 = 6 ft²

1) Lena's garden is a square with sides of length x meters. Next spring, she plans to make it rectangular by lengthening one side 5 meters and shortening the other side by 5 meters. a) What algebraic expression represents the new area? b) By how much will the area of the new garden differ from that of the old garden​

Answers

Answer:

a) Algebraic expression for new area =  (x + 5)(x - 5 )

b) New area will be 25 square meters less than old area

Step-by-step explanation:

Lena' s square garden with side x has area x times x or x² square meters

If one side is lengthened by 5 meters that side becomes x + 5 meters

If the other side is shortened by 5 meters that side becomes x - 5 meters

New area = (x + 5)(x - 5 )

Using the identity(a + b)(a - b) = a² - b² we get

(x + 5)(x - 5 ) =x² - 5²

= x² - 25

Area difference square - rectangle =
x² - (x² - 25) = x² - x² + 25

= 25

So the area will decrease  by 25 square meters

What is a heart shaped mathematical curve?

Answers

A heart-shaped mathematical curve is a cardioid (picture is attached below).

In the mathematical branch of geometry, we can use certain equations, etc. to create a heart-shaped mathematical curve which is called a cardioid. Its name has been derived from the greek word kardiá which literally translates to heart.

It can be described as a plane curve that is drawn by a point on the perimeter of a circle and this circle is rolling around a fixed circle that has a similar radius. It is also described as an epicycloid having a single cusp. The equation (a+x)^(a-x) can be used to make a cardioid.

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Hello, Everybody! I would need help with some sigma notation.

Expectations: ( Since this is kinda hard for me I will give brainliest but MUST have expectations. )
- Correct Answer
- Detailed Explantion

Please do not: ( If you do these things I will not hesitate to report you immediately )
- Spam
- Gibberish
- Random nonsense

Thank you have a happy lovely day.

Question: \/ \/ \/

Answers

Answer:

The value of the given expression to the nearest integer is 114,126.

Step-by-step explanation:

[tex]\displaystyle \sum^{29}_{n=2}80\left(1.23\right)^{n-2}[/tex]

The given sigma notation means

Sum of the series with nth term 80(1.23)ⁿ⁻², starting with n = 2 and ending with n = 29.

As 80(1.23)ⁿ⁻² is exponential, the series is geometric.

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

Therefore, the first term, a, is 80 and the common ratio, r, is 1.23.

The formula for the sum of the first n terms of a geometric series is:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

As the exponent of the sigma notation is (n - 2) rather than (n - 1), and the given values of n are from n = 2 to n = 29, we need to find the sum of the first 28 terms.

Therefore, substitute a = 80, r = 1.23 and n = 28 into the sum formula:

[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}[/tex]

[tex]\implies S_{28}=114125.755...[/tex]

[tex]\implies S_{28}=114126[/tex]

Therefore, the value of the given expression to the nearest integer is 114,126.

5. A picture of the sun has 12 identically matched points. Suppose you line up two suns directly
on top of each other. What is the least number of degrees that you can rotate the top sun so tha
the two suns are perfectly aligned again?

Answers

Answer: If there are 12 identically matched points on the picture of the sun, then the angle between any two adjacent points is 360/12 = 30 degrees.

When you line up two suns directly on top of each other, all of the matched points on the top sun will line up with the corresponding matched points on the bottom sun.

To find the least number of degrees that you can rotate the top sun so that the two suns are perfectly aligned again, you need to find the smallest angle that is a multiple of 30 degrees.

The smallest angle that is a multiple of 30 degrees is 360 degrees, which is equivalent to rotating the top sun all the way around once. Therefore, the least number of degrees that you can rotate the top sun so that the two suns are perfectly aligned again is 360 degrees.

Step-by-step explanation:

when we talk about measures of center, we look to the shape of the distribution to decide whether to use the mean or median. when do you think we should use the mean? (pick all that apply)

Answers

When the distribution is essentially symmetric or bell-shaped, with no extreme outliers, the mean is a useful measure of the center to employ. This is so because the mean can be impacted by extreme values, which can drive it away from the distribution's center, and is sensitive to the values of all the observations in the data set.

What is mean?

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently used measures of central tendency are the mean, median, and mode. Assuming that the data is regularly distributed and that the mean is a suitable measure of center, the mean is often chosen when doing specific statistical procedures, such as linear regression and hypothesis testing.

The median, however, might be a better indicator of the center to utilize if the distribution is skewed or contains severe outliers. In these situations, the median better captures the distribution's midpoint and is less vulnerable to high extremes.

Which center measure to choose ultimately comes down to the specifics of the data collection and the objectives of the investigation.

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i really need to understand this help

Answers

Answer:

a = √c² - b²

Step-by-step explanation:

The process...

Which inequality written in factored form represents the graphed region?

Answers

The correct inequality written in factored form represents the graphed region is,

⇒ y ≥ (x + 6) (x - 18)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The graph shows the inequality.

And, The point on the graph is, (- 4, - 44)

Now, By all options;

The correct inequality is satisfy the given point on the graph.

From (i);

The inequality is,

⇒ y ≥ (x + 6) (x - 18)

Put x = - 4, y = - 44

⇒ - 44 ≥ (- 4 + 6) (- 4 - 18)

⇒ - 44 ≥ (2) (- 22)

⇒ - 44 ≥ - 44

Hence, It is the correct inequality written in factored form represents the graphed region.

Thus, The correct inequality written in factored form represents the graphed region is,

⇒ y ≥ (x + 6) (x - 18)

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A random experiment consists of tossing a fair six-sided die repeatedly. How many tosses are required to be certain that the probability that at least one '6' appears is greater than or equal to 1/2?
I keep getting 3 from 1/6+1/6+1/6=1/2, it says the correct answer is 4.

Answers

We need at least 5 tosses to be certain that the probability of getting at least one 6 is greater than or equal to 1/2.

The probability of not getting a 6 on a solitary throw of a fair six-sided kick the bucket is 5/6. Subsequently, the probability of not getting a 6 on n throws is [tex](5/6)^n[/tex]. The probability of getting somewhere around one 6 in n throws is 1 - [tex](5/6)^n[/tex].

To view the quantity of throws expected as sure that the probability of getting somewhere around one 6 is more prominent than or equivalent to 1/2, we can set the probability equivalent to 1/2 and address for n:

1 - [tex](5/6)^n[/tex] = 1/2

[tex](5/6)^n[/tex] = 1/2

Taking the normal logarithm of the two sides, we get:

n ln(5/6) = ln(1/2)

n = ln(1/2)/ln(5/6) ≈ 4.807

Hence, we really want something like 5 throws to be sure that the probability of getting no less than one 6 is more prominent than or equivalent to 1/2.

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