Wildlife conservationists want to estimate the deer population in a region. They place an identifying tag on 220 deer. Several months later, researchers investigate 8 samples of 50 deer and record how many have a tag. Based on these results, how many deer should they estimate live in the region?

Answers

Answer 1

The estimated deer population live in the region is calculated as:

N = (2 * 220 * 50) / x

Estimate Deer Population

One method to estimate the deer population is by using the Lincoln-Petersen index, which is calculated as:

N = (2 * tagged deer count * sample size) / (number of tagged deer in the sample).

Using the data you provided, the number of tagged deer in the 8 samples is the sum of all the tagged deer counted in each sample, let's call this sum "x". Then, the estimated deer population in the region is calculated as:

N = (2 * 220 * 50) / x

Since the actual value of x is unknown, we cannot calculate the exact population. But, this formula gives us a method to estimate the population based on the number of tagged deer found in future samples.

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Related Questions

When the FOB destination is used, the seller reports the cost of delivery on the
a.balance sheet as an expense.
b.balance sheet as an asset.
c.income statement as an expense.
d.income statement as a revenue.

Answers

The seller reports the cost of delivery on the balance sheet as an asset.

What is FOB?

FOB stands for "Free on board." It serves as a declaration that the risk and ownership of the items have been passed from the seller to the buyer. This implies that the vendor is not responsible if the items are damaged or destroyed during shipping.

Given:

Inventory of finished goods is shown as a current asset on the balance sheet.

Inventory of finished goods is an example of a current asset that will or should be sold within a year.

Stock does not qualify as a non-current asset. A non-current asset is one that has a lifespan longer than a year, such as machinery or equipment.

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7 QUESTIONS PAY IS 100 WILL GIVE BRAINLEIST
A maintenance worker needs to wax a restaurant floor shaped like the image shown.

A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet.

If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor?

$1,224.75
$1,569.75
$2,104.50
$2,449.50
Question 2(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)

A quilter created the following shape to use in a block for a new quilt.

A six-sided figure with a large base of 13 inches. The side to the right of the base is 7 and one-half inches. The small side parallel to the base is 5.18 inches. There are two sides that form a point at a right angle. The smaller is 5 inches, and the larger is 6 inches.

What is the area of the shape for the quilt block?

sixty-three and three fourths in2
one hundred twelve and one half in2
one hundred twenty-seven and one half in2
225 in2
Question 3(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)

An image of a parallelogram is shown.

A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.

What is the area of the parallelogram?

four hundred twenty-three and one-half ft2
four hundred twenty-seven and one-half ft2
four hundred thirty-three and one-eighth ft2
four hundred fifty-five and one-eighth ft2
Question 4(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)

The image of a trapezoid is shown.

An isosceles trapezoid with a short base of 3 meters and a height of 6.2 meters. The portion of the large base from the left vertex to the perpendicular is 4 meters. The portion of the large base from the right vertex to the perpendicular is 7 meters.

What is the area of the trapezoid?

20.2 m2
43.4 m2
33.4 m2
86.8 m2
Question 5(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)

An image of a rhombus is shown.

A rhombus with a base of 16 centimeters and a height of 15.5 centimeters.

What is the area of the rhombus?

15.75 cm2
31.5 cm2
124 cm2
248 cm2
Question 6(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)

A composite figure is shown.

A five-sided figure with two parallel bases. The top one is 4 inches. The vertical height between these bases is 2.3 inches. That vertical height intersects the bottom base, leaving 2.5 inches between it and the vertex to the left. The side on the right is the longest at 5.2 inches. There is a horizontal line connecting the vertex of the bottom base to the 5.2-inch side and that line is 3 inches.

Which of the following represents the total area of the figure?

16.425 in2
20.775 in2
24.15 in2
28.5 in2
Question 7(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)

A composite figure is shown.

A five-sided figure with two parallel sides. The shorter one is 43 meters. The height of the figure is 34 meters. The portion from the vertex to the perpendicular height is 22 meters. The portion from a point to a vertical line created by two vertices is 18 meters.

Which of the following represents the total area of the figure?

306 m2
1,836 m2
2,142 m2
3,978 m2

Answers

Answer:

Step-by-step explanation:
I got you.

1.
The six-sided figure can be broken down into a rectangular prism with dimensions 35 x 20 x 30 and a right triangular pyramid with base 35 x 15 and height 30.

The rectangular prism has a total floor area of 35 x 20 = 700 square feet.

The right triangular pyramid has a base area of 0.5 x 35 x 15 = 262.5 square feet and a total floor area of 262.5 + 700 = 962.5 square feet.

So the total floor area of the six-sided figure is 962.5 square feet.

To find the cost to cover the floor with wax, we multiply the floor area by the cost per square foot:

962.5 * $1.38 = $1322.35

So the wax will cost $1322.35 to cover the floor.

2.
The shape for the quilt block can be divided into two right triangles and a rectangle. The rectangle has a length of 13 inches and a width of 5.18 inches, so its area is 13 * 5.18 = 67.34 square inches. The two right triangles each have a base of 5 inches and a height of 6 inches, so their area is 0.5 * 5 * 6 = 15 square inches each. The total area of the two right triangles is 15 * 2 = 30 square inches. The total area of the quilt block is 30 + 67.34 = 97.34 square inches.

So the area of the shape for the quilt block is 97.34 square inches.

3.
The area of a parallelogram is given by the formula: Area = base * height.

So the area of this parallelogram is:

22.5 feet * 19.25 feet = 432.0625 ft^2

So the area of the parallelogram is 432.0625 square feet or approximately 432 and 6/16 square feet.

4.
An isosceles trapezoid has two equal sides that are parallel to each other. In this case, the two equal sides are perpendicular to the height and are equal to 4 + 7 = 11 meters each. The average of the two parallel sides is the formula for the top base of a trapezoid, so the top base is (3 + 11)/2 = 7 meters.

The area of a trapezoid is given by the formula: Area = (bottom base + top base) * height / 2.

So the area of this trapezoid is:

(3 + 7) * 6.2 / 2 = 33.4 m^2

So the area of the trapezoid is 33.4 square meters.

5.
The area of a rhombus is given by the formula: Area = (diagonal 1 * diagonal 2) / 2.

In this case, the base of the rhombus is equal to one of its diagonals, and the height is equal to the other diagonal. So the area of this rhombus is:

(16 * 15.5) / 2 = 124 cm^2

So the area of the rhombus is 124 square centimeters.

6.
he total area of the figure can be found by dividing it into two parts: a parallelogram and a triangle.

The parallelogram can be found by using the formula for the area of a parallelogram: Area = base * height. In this case, the base is 4 inches and the height is 2.3 inches, so the area of the parallelogram is: 4 * 2.3 = 9.2 square inches.

The triangle can be found by using the formula for the area of a triangle: Area = (base * height) / 2. In this case, the base is 2.5 inches and the height is 3 inches, so the area of the triangle is: (2.5 * 3) / 2 = 3.75 square inches.

The total area of the figure is the sum of the areas of the parallelogram and triangle: 9.2 + 3.75 = 12.95 square inches.

So the total area of the figure is approximately 12.95 square inches.

7.
The figure can be broken down into two triangles and a rectangle. The area of one triangle is (1/2)bh = (1/2)(22)(34) = 308. To find the area of the other triangle, use the Pythagorean theorem to find the length of the remaining side. The two remaining sides are 43 and 18, and the hypotenuse is the side connecting the two vertices, so we have:

a^2 + b^2 = c^2

43^2 + 18^2 = c^2

1,849 + 324 = c^2

2,173 = c^2

c = 46.7

The area of this triangle is (1/2)bh = (1/2)(46.7)(34) = 786.2

The rectangle has a base of 43 and a height of 34, so its area is 43 * 34 = 1,462

The total area of the figure is 308 + 786.2 + 1,462 = 2,556.2 square meters.

So the answer is 2,556.2 m2.

pleaseeeeeeeeee i need help fast

Answers

Answer:Ariel

Step-by-step explanation: because if you divide 300 by 2 and then times it by 5 equals 750

the sugar sweet company will choose from two companies to transport its sugar to market. The first company charges $2804 to rent trucks plus an additional fee of $100.25 for each ton of sugar. The second company does not charge to rent trucks but charges $225.75 for each ton of sugar.

Answers

A. For 22.3 tons of sugar, the two companies would charge the same.

B. The cost, when the two companies charge the same, would be $5040.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A. To find the amount of sugar for which the two companies charge the same, we can set the cost for each company equal to each other and solve for the amount of sugar.

The equation for the first company would be:

2804 + 100.25x (where x is the number of tons of sugar)

The equation for the second company would be:

225.75x

Setting these two expressions equal to each other and solving for x, we get:

2804 + 100.25x = 225.75x

x = 22.3

So, for 22.3 tons of sugar, the two companies would charge the same.

B. To find the cost when the two companies charge the same, we can plug 22.3 tons of sugar into either of the two equations:

2804 + 100.25 × 22.3 = $5039.57

or

225.75 × 22.3 = $5039.57

So, the cost when the two companies charge the same would be $5040.

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The question seems incomplete, the missing part has been below:

The sugar-sweet company will choose from two companies to transport its sugar to market. The first company charges $2804 to rent trucks plus an additional fee of $100.25 for each ton of sugar. The second company does not charge to rent trucks but charges $225.75 for each ton of sugar.

A. For what amount of sugar do two companies charge the same?

B. What is the cost when two companies charge the same?

If you were to make a quadrilateral by rotating triangle RST 180 degrees about U, which type of quadrilateral would form

Answers

If you were to make a quadrilateral by rotating triangle RST 180 degrees about U, a Rhombus would form.

A Rhombus is a type of quadrilateral that is defined by its unique properties. The most distinctive characteristic of a Rhombus is the presence of two pairs of congruent and adjacent sides. These sides create a symmetrical figure that is easily recognizable. The other key property of a Rhombus is the presence of two pairs of equal, opposite angles. When a triangle, such as RST, is rotated 180 degrees about a central point, such as U, it creates a Rhombus. The sides of the triangle become the sides of the Rhombus, while the rotation creates the diagonal lines that connect the vertices. This rotation also ensures that the Rhombus has the desired properties of two pairs of congruent sides and two pairs of equal, opposite angles.

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A parachutist's rate during a free fall reaches 162 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 15 seconds of free fall? Do not round your answers.

Answers

Answer:

Below

Step-by-step explanation:

Using   162 km = 162000m   and  1 hour = 3600 s

162000 m / 3600s = 45 m/s

At constant 45 m/s :

  rate * time = distance

    45 m/s * 15 s = 675 m   in 15 seconds

a drink costs 2 dollars. a taco costs 3 dollars. write a statement that assigns totalcost with the total meal cost given the number of drinks and tacos. ex: 4 drinks and 6 tacos yields totalcost of 26.

Answers

The equation or statement assigning total meal cost is total meal cost = cost of one taco × number of taco + cost of one drink × number of drink.

The word expression representing the complete transaction will be as follows -

The left hand side will have total cost and the right hand side will individual cost of each item. The individual cost of each item will further be states as -

Taco = The product of cost of one taco and number of tacos

Similarly, drinks = the product of cost of one drink and number of drinks

Forming the combined equation now -

total meal cost = cost of one taco × number of taco + cost of one drink × number of drink

Representing it according to example in Equation -

26 = 4 × 2 + 3 × 6

26 = 8 + 18

26 = 26

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Which pair of values for x and y will not satisfy the following system?

Number 2

Answers

The point (1, 1) does not satisfy the given inequality system.

What is an inequality? What are algebraic expressions?An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > cIn mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the inequality system as -

y < 2x - 1

y > x - 1

Refer to the graph of the inequalities attached. The points in the shaded region represents the solution coordinates for the given system of equations. The point (1, 1) lies on the dotted line. So, this does not satisfy the given inequality system.

Therefore, the point (1, 1) does not satisfy the given inequality system.

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Help! Please :D Thank you btw!!! I need help on this question

Answers

The true statements for the expression 5 / 8m = 10 are,

A) The equation can be the same as 1 / 8m = 2.

C) The equation can be solved by dividing both sides by 5 / 8.

D) The equation can be solved by multiplying both sides by 8 / 5.


What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 5 / 8m = 10.

The true statements are:-

A) The equation can be the same as 1 / 8m = 2.

5 / 8m = 10

m= 16

1 / 8m = 2

m = 8 x 2 = 16

C) The equation can be solved by dividing both sides by 5 / 8.

5 / 8m / 5 / 8= 10 / ( 5 / 8 )

m = 8 x 2 = 16

D) The equation can be solved by multiplying both sides by 8 / 5.

5 / 8m x 8 / 5 = 10 x 8 / 5

m = 16

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HELP ITS EASY IM JUST LAZY ill give brainly If you add​ Natalie's age and​ Fred's age, the result is 39. If you add​ Fred's age to 4 times​ Natalie's age, the result is 84 . Write and solve a system of equations to find how old Fred and Natalie are.

Answers

Answer:

Natalie is 15 and Fred is 24.

Step-by-step explanation:

Let n = Natalie's age

Let f = Fred's age

n + f = 39

4n + f = 84 ⇒ multiply by -1 ⇒ -4n -f = -84

-4n - f = -84

  n + f = 39

-3n      = -45  Divide both sides by -3

n = 15

Natalie is 15.

Substitute 15 for n to solve for Fred's age:

n + f = 39

15 + f = 39  Subtract 15 from both sides

f = 24

Fred is 24.

Estimate the circumference of the circular base of the object. Round to the nearest hundredth if necessary.


D battery with radius 0. 65 in.


circumference:__in.

Answers

The circumference of a D battery with 0.65 inches radius was found to be 4.14 inches.

To find the circumference of a circle, we can use the formula:

C = 2 * π* r

where C is the circumference, π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle.

For the circular base of a D battery with a radius of 0.65 inches, the circumference can be calculated as follows:

C = 2 * π * 0.65

C = 2 * 3.14 * 0.65

C = 4.14

Rounding to the nearest hundredth, we get:

C = 4.14 inches

So, the estimated circumference of the circular base of the object is approximately 4.14 inches

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furniture builder pays $100 for the materials necessary to build one porch swing. A store sells the swing for $250. What is the ratio of the cost in dollars of the materials to the sale price in dollars?

Answers

The ratio of the cost in dollars of the materials to the sale price in dollars is 0.4:1

The cost of the materials for one porch swing is $100 and the sale price of the swing is $250.

To find the ratio of the cost of the materials to the sale price, we divide the cost of the materials by the sale price as follows -

$100 ÷ $250 = 0.4

So, the ratio of the cost of the materials to the sale price is 0.4:1.

This means that for every $1 in the sale price, $0.4 is spent on materials or we can say that 40 cents of every dollar go towards materials.

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Cedric also put 18 rocket stickers and 24 airplane stickers in equal groups. whay is the greatest number of groups Cedric could have made? How many of each type of sticker did he put in the group. please show work!​

Answers

To find the greatest number of equal groups Cedric could have made, we need to find the greatest common factor (GCF) of 18 and 24.

The prime factorization of 18 is 2 × 3².

The prime factorization of 24 is 2³ × 3.

To find the GCF, we need to take the product of all the common factors and the lowest exponent of each factor that is common to both numbers. In this case, the common factor is 2 and the lowest exponent is 1.

GCF(18, 24) = 2¹ = 2

So Cedric could have made up to 2 equal groups of stickers.

To find how many of each type of sticker he put in each group, we can divide the number of stickers by the number of groups.

For the rocket stickers, Cedric put 18 stickers in 2 groups, so he put 9 rocket stickers in each group.

For the airplane stickers, Cedric put 24 stickers in 2 groups, so he put 12 airplane stickers in each group.

Therefore, Cedric put 9 rocket stickers and 12 airplane stickers in each of the 2 groups he made.

Patty is using a cylinder shape container to hold 48 in³ of liquid. The height of the container is 6 inches tall. What is the best approximation for the radius of the container? Responses 1.6 in. 1.6 in. 2.5 in. 2.5 in. 3.2 in. 3.2 in. 4.0 in.

Answers

The radius of the cylinder will be 1.6 inches. Then the correct option is A.

What is the volume of a right circular cylinder?

Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,

V = π r²h cubic units

Patty is using a cylinder shape container to hold 48 in³ of liquid. The height of container is 6 inches tall. Then the radius of the circle is given as,

V = π r²h

48 = 3.14 x r² x 6

r² = 2.5477

r = 1.596

r ≈ 1.6 inches

The radius of the cylinder will be 1.6 inches. Then the correct option is A.

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why do we use sampling with replacement instead of sampling without replacement? incorporate the definion of sampling with replacement.

Answers

Sampling with replacement is a type of sampling technique in which the same unit can be selected multiple times from the sample population.

This type of sampling is used when the size of the sample population is very large and it is not possible to select a unique unit from the population. The formula for sampling with replacement is nCr, where n is the population size and r is the sample size. For example, if the population size is 10 and the sample size is 3, then the total number of combinations would be 10C3 = 120. This means that 120 possible samples can be selected from the population, with each unit having an equal probability of being selected. Sampling with replacement is often used in statistical analysis to generate a representative sample of the population.

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The range for the eight numbers shown is 40. Find the two possible values of the missing number. 42 13 19 5 ? 11 27 33​

Answers

The missing value to make the set of numbers to have a range of 40 is the number 2.

What is the range?

In mathematics, the range can be defined as the difference between the greatest and lowest values in a set of numbers. Due to this, the range can be found by using subtraction.

What is the current range?

In this case, the current range is 37 which is a result of 42 (greatest value) -5 (lowest value). However, the required range is 40. Let's calculate the missing value:

42-40 = 2

Based on this, the missing value is 2.

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Lauren has a coin collection. She keeps 3 of the coins in her box, which is 4% of the collection. How many total coins are in her collection?

Answers

The total number of coins is equal to 35

How to determine the total number of coins?

We have the following parameters that can be used in our computation:

Given that She keeps 3 of the coins in her box, which is 4% of the collection.

Number of coins in the box = 7

Proportion of coins in the box = 20%

These parameters mean that the Number of coins in the box = Proportion of coins in the box x Total number of coins

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

7 = 20% x Total number of coins

Then Divide both sides by 18%

Total number of coins = 35

Hence, the total number of coins is; 35

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Please help. I need the answer asap.

Answers

Answer:

Option 4

Explained below

Step-by-step explanation:

A relationship is a function if and only if one value of the input does not result in more than one value of the output

In other words, for a function f(x), for a value of x there should only be one value for y

Looking at the figure, we see that in option 4 for the value 2 there are two resultant mappings, A and B

Hence the relation in option 4 is NOT a function

Andrea has half as many model cars as ridhi. Eleni has three fewer model cars that Andrei. write an expression for E.the number of model cars Eleni has, in terms of R, the number of model cars ridhi has.​

Answers

The number of model of cars Eleni has in terms of R is E = R / 2 - 3.

What is equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

Let us suppose the model of cars with Ridhi = R.

Andrea thus has:

A = R / 2

Eleni has three fewer model cars that Andrei. Thus,

E = R / 2 - 3

Hence, the number of model of cars Eleni has in terms of R is E = R / 2 - 3.

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A major league baseball team is ending its season and totaling up concession salesLooking at receipts they have found that they made $10, 486, 525 in hot dog sales, $23, 451,492 in large drink sales, $4,765, 300 in soft pretzel sales and $1,342,653 in nacho salesIf they rounded each item's sales amount to the nearest million, what is the estimated money collected in concession sales? Do not include the in your answerWrite your answer without commas, for example, 1,000 should be written as 1000

Answers

The estimated money collected in concession sales is 39000000.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount made in sales:

$10, 486, 525 = hot dog sales

$23, 451,492 = large drink sales

$4,765, 300 = soft pretzel sale

$1,342,653 = nacho sales

Now,

Rounding to the nearest million.

$10, 486, 525 = hot dog sales = $10,000,000

$23, 451,492 = large drink sales = $23,000,000

$4,765, 300 = soft pretzel sale = $5,000,000

$1,342,653 = nacho sales = $1,000,000

Now,

The estimated money collected in concession sales.

= 10,000,000 + 23,000,000 + 5,000,000 + 1,000,000

= 39000000

Thus,

The estimated money collected is 39000000.

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Need help on No. 4 WILL MARK AS BRAINLIEST

Answers

The equation to represent proportionality relationship is y = 8.5x.

What is constant of proportionality?

The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided quantities determine the proportionality constant's value.

Direct Variation: The direct proportionality equation is y = kx, which demonstrates that as x rises, y rises at the same rate.

Inverse Variation: The indirect proportionality equation, y = k/x, demonstrates that when y rises, x falls, and vice versa.

Two variables are said to be proportion if an increase/decrease in one variable causes an increase/decrease in the other variable.

Let x represent the movie tickets and y represent the cost.

Since x and y are proportional, hence:

y ∝ x

y = rx

Where r is the constant of proportionality.

From the table to find x, when y = 17, x = 2, hence:

17 = 2r

r = 8,5

y = 8.5x

Hence, the equation to represent proportionality relationship is y = 8.5x.

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81 is what percent of 3600?

Answers

Answer:

2.25%

Step-by-step explanation:

hope dis help

Answer:

2.25%

Step-by-step explanation:

5+3y=(2+y)
Show work and steps

Answers

Answer: y= -3/2

Step 1: Move the terms

Step 2: Collect like terms and Calculate

Step 3: Divide both sides

The steps with the problem is on the png below.

WILL GIVE BRAINELIST

Answers

Answer:

Step-by-step explanation:

Distribute.

8x + 32

pt2. is A.

Jara wants to select a negative integer that is closer to zero than -3 on the number line. How many possible choices does she have?

Answers

Jara wants to choose a negative integer closest to zero. The closest negative integer to zero is -1, which is closer to zero than -3. So, Jara has only one possible choice, which is -1.

Jara needs to choose a negative whole number that is nearer to zero than - 3 on the number line. To find the response, we want to decide the nearest regrettable whole number to nothing. On the number line, the nearest bad whole number to zero is - 1. This intends that - 1 is nearer to zero than some other negative number, including - 3.

Since Jara needs to choose a negative whole number that is nearer to zero than - 3, her main conceivable decision is - 1. It is vital to take note of that zero isn't viewed as a negative whole number, and the whole numbers on the number line are either sure or negative, not both.

Taking everything into account, Jara has just a single conceivable decision, which is - 1. This implies that the response to the inquiry is 1. It is likewise vital to recall that while choosing a number more like zero, we should pick the number that is nearest to nothing and in addition to any number that is nearer to zero than another number.

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A rectangular lawn is 15 yards by 31 yards. It would cost $7.00 per yard to install a fence around the lawn. How much would it cost to put a fence around the lawn?

Answers

Answer:

$644

Explanation:

if the lawn is 15 yards wide and 31 yards tall, you need to figure out the perimeter. 15+15+31+31=92, so the perimeter of the yard is 92 yards. If it costs $7 per yard, then all you need to do from there is multiply 92 by 7, getting you 644. So it would cost $644 to install a fence around the lawn.

Jane was shopping at the Shoe Palace. She buys 5 pairs of shoes. Including tax, 27. 75, she spends a total of 227. 75. How much did each shoe cost?

Answers

Each shoe costs 20 dollars.

Let us assume that the cost of each pair of shoe is m dollars.

Jane buys five pairs of shoes.

so, the cost of five pairs of shoes would be 5 × m = 5m dollars

Let us assume that S represents the total amount of money she spend on the shoes and C be the total cost

C = S + tax

227.75 =  S + 27.75

S = 227.75 - 27.75

S = 200 dollars

The cost of 5 pairs of shoes (without tax) = $200

Using unitary method the cost of each pair of shoes would be,

m = 200/5

m = 40 dollars

This means that the cost of a pair of shoes is 40 dollars

Thus, the cost of each shoe = 40/2

                                             = 20 dollars

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The arc length of a circle intercepted by a central angle of 41.9° is 9.9 inches, what is the radius of the circle? Round to the nearest 10th of an inch.

Answers

Answer:

Radius = 13.8 inches

Step-by-step explanation:

The relationship between arc length, s , the radius r and central angle  θ in radians is given by the formula

s = rθ where r = radius, θ is central angle in radians

Or,

r = s/θ

Given s = 9.9 in and θ = 41.4° we get

θ in radians = (θ in degrees) x π/180 radians

So 41° = 41 x  π/180 radians = 0.7156 radians

r = s/θ

r = 9.9/0.7156

r = 13.835 inches

Rounded to the nearest tenth:

r = 13.8 inches

how many factors and terms are in the expression 4(8x + 5)

Answers

24x + 5 and 4 are the two variables in the equation.

What is a mathematical expression?

Mathematical expressions consist of at least two integers or factors, at least each math procedure, and a sentence. It's possible to multiply, divide, add, or remove with this mathematical procedure.

The expression 4(8x + 5) can be simplified using the distributive property of multiplication over addition as follows:

4(8x + 5) = 4×8x + 4×5 = 32x + 20

So the expression 4(8x + 5) has two terms: 32x and 20.

To find the factors of the expression, we can factor out the greatest common factor of 32 and 20, which is 4:

4(8x + 5) = 4×2×4x + 4×5 = 4(2×4x + 5)

So the expression has two factors: 4 and (2×4x + 5).

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In a survey of men in a certain country (ages 20 - 29), the mean height was 64.7 inches with a standard deviation of 2.9 inches. (a) What height represents the 90th percentile? (b) What height represents the first quartile?

Answers

Answer:

Step-by-step explanation:

(a) To find the height that represents the 90th percentile, we would need to use a standard normal distribution table and a Z-score. We need to first find the Z-score corresponding to the 90th percentile by solving for Z using the formula:

Z = (x - μ) / σ

Where x is the height at the 90th percentile, μ is the mean height (64.7 inches), and σ is the standard deviation (2.9 inches).

Z = (x - 64.7) / 2.9

Since the 90th percentile corresponds to a Z-score of 1.28, we can use the above formula to find x:

x = μ + Zσ

x = 64.7 + (1.28)(2.9)

x = 68.9 inches

So, the height that represents the 90th percentile is 68.9 inches.

(b) To find the first quartile (25th percentile), we would use a Z-score of -0.67.

x = μ + Zσ

x = 64.7 + (-0.67)(2.9)

x = 62.3 inches

So, the height that represents the first quartile is 62.3 inches.

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