Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 17 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with = 0.40 gram.
(a)
Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.)
lower limit
upper limit
margin of error
(b)
What conditions are necessary for your calculations? (Select all that apply.)
normal distribution of weights
is unknown
uniform distribution of weights
is known
n is large
Correct: Your answer is correct.

(c)
Interpret your results in the context of this problem.
The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.
We are 20% confident that the true average weight of Allen's hummingbirds falls within this interval.
We are 80% confident that the true average weight of Allen's hummingbirds falls within this interval.
The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
Correct: Your answer is correct.
(d)
Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.13 for the mean weights of the hummingbirds. (Round up to the nearest whole number.)

Incorrect: Your answer is incorrect.
hummingbirds

Answers

Answer 1

a)

E =0.124Lower limit =3.026Upper limit =  3.274

b) Conditions:[tex]\sigma[/tex] is understood to have a regular distribution of weights

c) Interpretation: 80 percent of the time, this range will include the actual average weight of Allen's hummingbirds, hence its reliability may be counted on

d) sample size [tex]n \approx 27[/tex].

What conditions are necessary for your calculations?

Generally,
Here n = 17

T= 3.15

[tex]\sigma=0.40[/tex]

confidence level =c = 0.80

Here we will usethe  z critical value.

z critical value for (1+c) /2 = (1+0.80)/2

z critical value for (1+c) /2= 0.9

Zc = 1.28

Critical value = 1.28

a) Margin of error (E) :

[tex]E = Zc*\frac{\sigma}{\sqrt{n}}\\\\\E = 1.28*\frac{0.40}{\sqrt{17}}[/tex]

E =0.124

Margin of error = E =0.124

Lower limit = x-E

L= 3.15 - 0.124

L= 3.026

Lower limit =3.026

Upper limit = x + E

U= 3.15 + 0.124

U= 3.274

Upper limit =  3.274

The following is a confidence interval with a value of 80 percent for the mean weights of Allen's hummingbirds in the area under study: (3.02,3.28)

b) Conditions:[tex]\sigma[/tex] is understood to have a regular distribution of weights

c) Interpretation: 80 percent of the time, this range will include the actual average weight of Allen's hummingbirds, hence its reliability may be counted on.

d) When is already known, the following equation may be used to determine the appropriate number of samples, n:

[tex]n=(\frac{z_c*\sigma }{E})^2[/tex]

Margin of error = 0.13

Sample size (n):

[tex]n= (\frac{z_c*\sigma }{E})^2[/tex]

[tex]n=(\frac{ 1.28*0.36}{0.09})^2[/tex]

n = 26.21

[tex]n \approx 27[/tex]

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Related Questions

Rewrite (2x + 8) + 4 using the associative property. Then simplify.

Answers

Answer:

2x+12

Step-by-step explanation:

We can re-write (2x+8)+4 using the associative property of addition. The associative property states that you can move around the parenthesis in an addition problem.

We can write (2x+8)+4 as 2x+(8+4).

2x+(8+4) = 2x+12.

In June, Lupita saved $115 for retirement. In July, she saved $165. To the nearest percent, what was the increase in Lupita's retirement savings from June to July?

Answers

The increase in Lupita's retirement savings from June to July to the nearest percentage is 44%.

What is 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 percentage therefore refers to a part per hundred.

It is given that the initial amount of money Lupita had in June is $115

In July the amount of money Lupita saved increased to $165

We are asked to find this increase in money as a percentage.

Increase in percentage

= {(Final amount of money - Initial amount of money) / Initial amount of money } × 100

=  {(165 - 115) / 115 } × 100 = 43.48%. ≈ 44%

Therefore the increase in amount of money saved as percentage is 44%.

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You can make 5 gal of liquid fertilizer by mixing 12 tsp of powdered fertilizer with water. Represent the relation between the teaspoons of powder used and the gallons of fertilizer made using a table, an equation, and a graph. Is the amount of fertilizer made a function of the amount of powder used?

Answers

So on solving the provided question, we can say that by equation , y = 5/8x; it makes a vertical line.

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Let y be the number of gallons of fertilizer produced by combining x tsp of fertilizer powder.

5 litres of liquid fertilizer are created by combining 8 tsp of fertilizer powder.

Therefore, the amount of liters of liquid fertilizer produced by combining 1 tsp of fertilizer powder = 5/8

gallons of LF by mixing x tsp of powder fertiliser  = 5/8x

the required equation is => y = 5/8x

so by graph it makes a vertical line.

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Stuck on these questions in my unit quadratic functions and equations.
questions are down below, many thanks!

Answers

Answer:

25

Step-by-step explanation:

25 because i used a calculator

The height of a parallelogram is 4.5 cm. The base is twice the height. What is the area

Answers

Answer: 40.5 cm.

Step-by-step explanation:

first the formula for a parallelogram is base times height and we know the height is 4.5 cm and the base is twice the height and 4.5+4.5=9 and then 9x4.5= 40.5

What is the answer to 47-2.7?

Answers

Answer:

44.3

Step-by-step explanation:

47 - 2.7 = 44.3

Taking away 2.7 from 47 gives us 44.3.

Hope this helped!

Which transformation will result in an image that is congruent to its pre-image? (x, y) → (2x, −2y) (x, y) → (x, y − 2) (x, y) → (−x, 2y) (x, y) → (−2x, y − 2)

Answers

Answer: Choice B.  

(x,y) --> (x, y-2)

=======================================================

Explanation:

Choice A can be ruled out because of the jump from x to 2x, and from y to 2y. This is a dilation with a scale factor 2. Meaning the preimage enlarges to a bigger image. Specifically the larger image has side lengths twice as long as the smaller preimage. The larger image of course cannot possibly be congruent to the smaller preimage. Congruent figures must have the same corresponding side lengths.

We'll come back to choice B.

Choice C and choice D are ruled out for similar reasoning as choice A was eliminated.

-------------

To summarize the previous section: We ruled out choices A, C, and D. The only thing left is choice B.

Choice B is a translation. The jump from y to y-2 means we shift the point 2 units down. There is no left or right shifting because x stays the same.

For example, the point (5,12) moves to (5,10).

Notice that dilation is not being applied for choice B.

With any geometric translation, aka shifting, the side lengths will remain intact. Something that is 5 units long will stay 5 units long. No amount of shifting will change the distance.

Therefore, a translation preserves distances and lengths. We consider it a rigid transformation. This is why choice B will have the preimage congruent to the image.

Answer:B) (x, y) → (x, y − 2)

Step-by-step explanation:

Please help me with this question.

Answers

The limits to the function are given as follows:

a) lim x -> -5 f(x) = 10.

b) lim x -> 5 f(x) = -5.

How to calculate the limit of a function?

The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.

As the function in this problem does not have discontinuities at the values of x = -5 and x = 5, the limits are in fact given by the numeric values at these points.

The limits are given as follows:

a) lim x -> -5 f(x) = 10. -> as the graph passes through the point (-5,10).

b) lim x -> 5 f(x) = -5. -> as the graph passes through the point (5,-5).

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Which data set matches the line plot

Answers

Answer: The fourth data set (bottom right corner).

Step-by-step explanation: In the graph shown the dots represent a value in the data set. In the graph, there are 4 data sets above 2 meaning that there should be 4 values of 2 in the data set. A quick scan will show that the only logical answer is the fourth set since this is the only set with 4 2s. You can repeat this process for the rest of the dots to check your work.

A grocer has three baskets of peaches. One holds 45 peaches and weighs 17 pounds, a second holds 55 peaches and weighs 21 pounds, and the third holds 60 peaches and weighs 25 pounds. What is the
mean wight of a peach? (keep your answer in two decimals if there is any decimals).

Answers

Answer:

Step-by-step explanation:

45 peaches + 55 peaches + 60 peaches = 160 peaches total

17 pounds + 21 pounds + 25 pounds = 63 pounds total

63 pounds / 160 peaches = about 0.39 pounds per peach

What the slope of the line

Answers

Answer:

slope = - [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

calculate the slope m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line

m = [tex]\frac{-4-4}{4-(-1)}[/tex] = [tex]\frac{-8}{4+1}[/tex] = [tex]\frac{-8}{5}[/tex] = - [tex]\frac{8}{5}[/tex]

Find the slope of a line perpendicular to the line 4x-3y=12

The slope of the line perpendicular to 4x-3y=12 is:

Answers

The slope of a line perpendicular to the original line is then the negative reciprocal of 4/3, or -3/4.

What is reciprocal?

Reciprocity is a reciprocal exchange of goods, services, or privileges between two parties. It is often used in business transactions and in politics to create beneficial relationships and agreements between parties.

The slope of a line perpendicular to 4x-3y=12 is calculated by finding the negative reciprocal of the slope of the original line. To find the slope of the original line, we need to rewrite the equation in the form y = mx + b, where m is the slope.
In this case, we can rewrite the equation as:
3y = 4x - 12
Yielding the slope of the original line as m = 4/3.
The slope of a line perpendicular to the original line is then the negative reciprocal of 4/3, or -3/4.

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Determine any data values that are missing from the table, assuming that the data represent a linear function. x y -1 2 0 3 4 2 a. Missing x:1 Missing y:2 c. Missing x:1 Missing y:6 b. Missing x:1 Missing y:5 d. Missing x:2 Missing y:5

Answers

The linear function's missing data values are x = 0 and y = 1, which is the right response (B).

What are linear function's ?

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = mx + b, where m and b are real values.

Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b.

When given as a graph, information about a function is assumed to be linear if the graph is a line.

If the function's details are provided in algebraic form, then f(x) = mx + b indicates that the function is linear.

According to our question-

Using two specified pairs of points from the table, (-9, 3) and (-6, 2), one may calculate the slope as follows:

Let

x₁ = -6, y₁ = 2

x₂ = 95, y₂ = 3

Slope (m) equals (3 – 2)/(-9 – (-6))

Slope (m) equals 1/-3, or 1/3.

By substituting (x, y) = (-9, 3) and m = -1/3 into y = mx + c, it is possible to find c:

⇒ 3 = -1/3(-9) + c

⇒ 3 = 3 + c

⇒ 3 - 3 = c

⇒ c = 0

Change y = mx + c to m = -1/3 and c = 0.

⇒ y = -1/3x

Now, calculate the values of the missing data using the equation:

Please use y = 0.

Hence, x would be:

⇒ 0 = -1/3x

⇒ x = 0

Replace x with -3,

Y then would be:

⇒ y = -1/3(-3) (-3)

⇒ y = 1

Hence, The linear function's missing data values are x = 0 and y = 1, which is the right response (B).

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In the lab, Chau has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 12% alcohol. He uses 900 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 24% alcohol solution?

Answers

600 mL of solution B and 3(600) = 1800 mL of solution A are used by Chau.

How many letters make up one milliliter?It is equivalent to one thousandth of a liter (1 liter = 1000 milliliters) and is used to measure lesser amounts of liquid. The letters ml or mL are used to represent milliliters. Take note of the following graph, which displays 1000 ml of water. Capacity measurements are made using milliliters. It represents a thousandth of a liter. Alternatively said, a one-liter container might hold 1,000 milliliters. In the metric system, a milliliter abbreviated as ml or mL is a unit of volume. One cubic centimeter, or one milliliter, is equivalent to one thousandth of a liter.

Let x = the amount of Solution B used

3x = the amount of Solution A used

Knowing that 13% = 0.13 and 18% = 0.18, we can create the equation shown below:

3x(0.13) + x(0.18) = 342 (Remember that the concentration of pure alcohol is 100%, or 1.00).

0.39x + 0.18x = 342

0.57x = 342

x = 600 mL

600 mL of solution B and 3(600) = 1800 mL of solution A are used by Elsa.

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Hi everyone please help me solve the wrong questions and how to graph it and explain how you solved it please, thank you!

Answers

Hello if a t-shirt coasts 8 dollars you need to put 8 in the equation as p.
D=-304+730
D=426 is the answer of the first gap.

Now let’s change it to 12.
D=-456+730
D=274 is the answer of the second gap.
Hope this helps!

Simplify the expression: -2+2g-(3g+4)

Answers

Answer:

- g - 6

----------------------------

Given expression:

-2 + 2g - (3g + 4)

Simplify it in steps:

-2 + 2g - (3g + 4) = - 2 + 2g - 3g - 4 = (2 - 3)g - 6 = - g - 6

Answer:

[tex] \sf \: - g - 6[/tex]

Step-by-step explanation:

The expression is,

→ -2 + 2g - (3g + 4)

Let's simplify the expression,

→ -2 + 2g - (3g + 4)

→ -2 + 2g - 3g - 4

→ (-3g + 2g) + (-2 - 4)

→ (-g) + (-6)

→ -g - 6

Hence, the answer is -g - 6.

Please Help!!! Find the equation using slope-intercept form
Y-intercept = 4
Point: (2,3)

Answers

The equation of the line in slope intercept form is y = - 1 / 2 x + 4.

How to represent equation in slope intercept form?

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, the equation of the line passes through the points (2, 3) and the y-intercept is 4.

Hence,

y = mx + 4

let's find slope using (2, 3)

3 = 2m + 4

3 - 4 = 2m

2m = -1

divide both sides by 2

m = - 1 / 2

Therefore, the equation of the line is y = - 1 / 2 x + 4.

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Intro to circles: circumference
PLEASE HELP

Answers

Therefore , the solution of the given problem of circumference of the given figure is 15.7 ft.

what is mean by circumference?

The circumference of a circle or other curved geometric object refers to length. It is the boundary across any two-dimensional circular surface measured linearly in one dimension.

Here,

in the given question

first find the length of the diameter

in the figure

Perpendicular = 3ft

Base = 4ft

using Pythagoras rule

(hypotenuse)

(base)2 + (perpendicular)2

(hypotenuse)2=42+32

(hypotenuse)2=16+9

(hypotenuse)2=25

hypotenuse = √25

hypotenuse = 5

in the given figure hypotenuse diameter of the circle

radius(r) =

diameter

== 2.5

circumference of the circle is given by

circumference = 2πr

circumference = 2*3.14 * 2.5

circumference = 15.7ft

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What is the 10th term of the arithmetic sequence defined by the formula

Answers

The 10th term of the arithmetic sequence is T₁₀ = a + 9d. a is the first term and d is the common ratio.

What is a sequence?

A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It has members, just like a set. The length of the sequence is defined as the number of items.

An arithmetic sequence follows a pattern.

Arithmetic progression or arithmetic sequence is a number sequence in which the difference between subsequent terms is constant.

The formula for nth term of the sequence is

Tn = a + (n - 1)d

Where a is the first term, d is the common ratio, and n is the number of terms.

Putting n = 10 in Tn = a + (n - 1)d

T₁₀ = a + (10- 1)d

T₁₀ = a + 9d

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How many grams of fluorine are required to produce 20.0 grams of FeF3?
Fe + F2 → FeF3

Answers

10.1 g of fluorine is required to produce 20.0 grams of FeF3

first, we have to balance the equation:

2Fe+3F₂⇒2FeF₃

The molar mass of FeF₃ is 112.84g/mol. so the num of mol(n) of FeF₃ present in 20.0g of mass is calculated as shown below:

n=20.0g/112.84g/mol

n=0.1772mol

According to the balanced equation on the macroscopic scale, 2 mol of FeF₃ is produced from 3 mol of F₂.

so, 0.1772 mol of FeF₃ is produced from X mol of F₂. where X is calculated as shown below:

X=3 mol/2mol*0.1772 mol

X=0.2658 mol

Hence, 0.2658 mol of F₂ is required. The molar mass of F₂ is 38.0g/mol

so, the mass of 0.2658 mol of F2 is calculated as:

m=0.2658 mol*38.0g/mol

m=10.1g

Hence, 10.1 g of fluorine is required.

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What is 8 times y to the power of 3 times 3/4

Answers

Answer:

[tex] \sqrt{1693} [/tex]

12in to 36in. find the percent of change

Answers

Answer:

36 -12 = 24

Step-by-step explanation:

24 / 12 × 100

= 2 × 100

= 200 %

The figure shows intersecting lines k and m. What is the measure of angle a

Answers

The measure of angle a is given as 94 degrees.

How to solve for the value of a

In order to get the value of a, we have to use the formula for the sum of angles in a straight line.

The sum of angles that are in a straight line is given as 180

this is summed up and equated to 180

From the figure,

m∠1 = 86 degrees

m∠2 = a

we have to sum this up and equate the value to 180 degrees

86 degrees + a = 180 degrees

a = 180 - 86

a = 94 degrees

Therefore the measure of the angle a is given as 94 degrees

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Step be step
(+1 point) Write the equation of the line in slope-intercept form given the following information.
18. slope = -2 and y-intercept (0,6)

(+3 points) Write the equation of the line given the following information in point-slope form
then rewrite in slope-intercept form.
19. Slope =
contains (-4, 3)

Answers

Answer:

18. y = -2x + 6

19. y = -1/2x -1/2

Step-by-step explanation:

y = mx + b

18. The point (0,6) 0 is the x-intercept and 6 is the y-intercept

For now, all we care about is 6

-2 is the slope which means the line will go down 2 and right 1

m = slope

b = y-intercept

y = -2x + 6

19.

-1/2 is the slope which means the line will go down 1 and right 2

For the y-intersept, I just played with it on a graphing calculater until I got it right.

m = slope

b = y-intercept

y = -1/2x -1/2

In this figure, sin < ___ and cos

Answers

42 , 16 values of sin and cos

What is sin formula?

Let's review some information regarding the sin function before learning the sin formula. The sine function, often known as the sin function, is a periodic function in trigonometry. The ratio of the hypotenuse's length to the perpendicular's length in a right-angled triangle is another way to describe the sine function. Sin is a periodic function that has a period of 2 and a domain and range of (, ), respectively. To determine the sides of a triangle, use the sin formula.

The Sin Formula: What Is It? The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle. The following is the sin formula: sin = Perpendicular / Hypotenuse

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HELP! I NEED HELP ASAP PLEASE!

Answers

Answer: False, False, True, False, True

Step-by-step explanation: JUST DO IT! MAKE YOUR DREAMS COME TRUE!

Johns snowmobile weighs 0.3 tons. Mikes snowmobile weighs 500 pounds. What is the difference in the weights of the two vehicles in pounds?”

Answers

Since the Johns snowmobile weighs 600 pounds, the weight difference between the two vehicles is 100 pounds.

what is proportionality ?

The term "proportionate" refers to relationships that always have the same ratio. For instance, the average number of apples per tree influences how many trees there are in an orchard and how many fruits there are in a harvest of apples. A linear relationship between two numbers or variables is referred to in mathematics as being proportionate. In the same way as the first quantity doubles, so does the other. The other decreases as well when one of the variables is reduced to 1/100th of its previous value.

When two quantities are proportional, it means that when one rises, the other rises as well and that the ratio between the two quantities is constant at all values. As an example, consider a circle's diameter and circumference.

given

2000 pounds make up a ton.

Snowmobile owned by John weighs 600 pounds or 0.3 tons.

The difference between Mike's snowmobile's 500 and 600 pound weights is 100 pounds.

= 600 - 500 = 100 pounds

Since the Johns snowmobile weighs 600 pounds, the weight difference between the two vehicles is 100 pounds.

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can someone help me pls

Answers

All the correct expression are;

⇒ 2x + 6 = 2

⇒ 2(x - 4) = 6x

What is an expression?

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

Now, We have to check all the expression which has x = - 2 as a solution.

So, For first expression;

⇒ 2x + 6 = 2

Put x = -2;

LHS = 2×- 2 + 6

       = - 4 + 6

       = 2

       = RHS

Hence, This expression has a solution x = - 2

For second expression;

⇒ 2(x - 4) = 6x

Put x = -2;

LHS = 2×(- 2 - 4)

       = 2 × - 6

       = -12

RHS = 6x

       = 6×-2

       = - 12

Hence, This expression has a solution x = - 2

For third expression;

⇒ 3x + 1/2 = 1/4x + 6

Put x = -2;

LHS = 3×-2 + 1/2

       = - 6 + 1/2

       = - 11/2

RHS = 1/4x + 6

       = 1/4 × - 2 + 6

       = - 1/2 + 6

       = 11/2

Hence, This expression does not a solution x = - 2.

So, For fourth expression;

⇒ 7 - 3x = 5x + 11

Put x = -2;

LHS = 7 - 3×-2

       =  7 + 6

       = 13

RHS = 5x + 11

       = 5×-2 + 11

       = - 10 + 11

       = 1

Hence, This expression does not a solution x = - 2.

So, For fifth expression;

⇒ 3x + 15 = 2x + 9

Put x = -2;

LHS = 3×- 2 + 15

       = - 6 + 15

       = 9

RHS = 2x + 9

       = 2×-2 + 9

       = - 4 + 9

       = 5

Hence, This expression does not a solution x = - 2.

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Anna says “ if a number is divisible by 4, then is it also divisible by 2 Do you agree Explain.

Answers

Yes because 2 is a multiple of 4

Fill out the blank. Use the corresponding theorems

Answers

On solving the provided question we can say that from the provided quadrilateral ABCD, ∠ BAD and ∠BCD are supplementary, ∠ABC and ∠ADC are supplementary.

what is quadrilateral?

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

from the provided quadrilateral ABCD,

∠ BAD and ∠BCD are supplementary,

∠ABC and ∠ADC are supplementary.

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pls help will give brainlest Clara is running a bakery. She has made a street sign to direct people to her bakery. She painted one side of the post and sign. What is the painted area? 8 in 5 in 60 in 4 in O A. 324 square inches B. 344 square inches O C. 276 square inches O D. 240 square inches Gianna put $1,000 in a savings account for 18 months. The interest on the account is 3.5%. How much will Gianna earn in interest? What amount will she have at the end of the time period? algum viu a kyomi uchiha? I don't remember how to do this question, also I'm really sorry I keep posting alot of math stuff today, I just have a lot of math that needs to get done today, I'd rather not spend my whole weekend doing school work LOL PLEASE EXPLAIN HOW U DID IT, giving brainliest Subtract the following polynomials 1. (q + 8) - (4q + 1)2. (3x + 7x - 6) - (5x + x + 9) What are ethical concerns in using animals for research?Select all that apply.Animals cannot consent to being used in experiments.Animals are ideal biological models for experimentsMany animals can be studied at one time.Some animals may have adverse reactions. El permetro de un rectngulo es 36cm Uno de los lados es 6cm ms que el otro lado Cual es el rea del rectngulo? 9-fluorenone was isolated and purified from a crude mixture containing chloroanilic acid and benzocaine dissolved in diethyl ether. Arrange the various steps carried out experiment: a. Drain off the remaining organic from the tip of the separatory funnel b. Weight out the product and determine Its MP c. Mix/vent then drain off the organic layer d. Add sodium sulfate to the aqueous layer to remove aw residua' water e. Add the crude reaction mixture to the separatory funnel f. Extract chloroaniIic acid by adding 5%. HCl solution to the crude reaction mixture g. Extract benzociane by adding 5% HCI solution to the crude reaction mixture h. Decant the into a round bottom flask and use the rotavap to evaporate solvent i. Extract benzociane by adding 5% NaOH solution to the organic layer j. Extract chloroanilic acid by 5% NaOH to to organic War k. Add sodium sulfate to the organic layer to remove any residual water l. Mix/vent then drain off the aqueous layer que opinas de las relaciones interpersonales entre los conquistadores y los aborgenes? Q: The aim of research isto obtain powerA to increase ranksD to gain social statusto produce knowledge about twice a day my Chromebook blacks out. why does it do that? Gregs family went to the movie theater and bought tickets and popcorn. They spent $35 altogether with $9.50 spent on popcorn. Write an equation that can be used to find out how much money x they spent on tickets. Which best describes the reaction in the South to Brown v Board of Education?O The South complied with the Supreme Court's deadline for integration, despite the resentment of manySouthernersO The South complied quickly, but school districts filed numerous lawsuits against the US governmentO The South resisted integration for years by staging protests and fighting desegregation in courtO The South increased spending on African American schools to maintain its segregated school system What is the verb ? Mince usually cheers for his team Find the slope of a line that passes through the points (-1, -3) and (2, -2). There once was a fantastic football player named Leyton Channing. People often criticized him for not beingtough. They said when he played in harsh conditions like snow or frigid temperatures, he couldn't win.After analyzing data, however, statisticians determined that there was no association between Leyton winningand Leyton playing in harsh conditions. The frequency table below shows data for the games that Leyton played.Fill in the missing values from the frequency table. You are looking at a one-year loan of $26,000. The interest rate is quoted as 11 percent plus two points. A point on a loan is 1 percent (one percentage point) of the loan amount. Quotes similar to this one are common with home mortgages. The interest rate quotation in this example requires the borrower to pay two points to the lender up front and repay the loan later with 11 percent interest. What rate would you actually be paying here? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Interest rate % how much principal must be deposited to earn $1000 simple interest in 2 years at a rate of 5% While bob is studying waves in science and he learns that the energy of a wave is directly proportional to the square of the waves amplitude. If the amplitude of a wave changes from 2m to 4m, what should he predict as the effect on enerygy of the energy of the wave