Ramiro aked 60 random people from hi chool how they ue the library. Ue the information from Ramiro’ repreentative ample to make prediction about the chool-wide reult. The chool ha 540 tudent

Answers

Answer 1

Yes it is possible to make the prediction about Ramiro's School but not completely.

It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.

With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.

For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.

It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.

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Related Questions

(X-5)-1 substitute the 9 for x and evaluate

Answers

Therefore , the solution of the problem of linear equation comes out to be the value after substituting is 3.

The definition of a linear equation.

A linear equation is one that satisfies the algebraic formula y=mx+b. m is the y-intercept, while B is the slope. The foregoing sentence is sometimes referred to as a "linear equation with two variables" because y and x are variables. Bivariate linear equations are two-variable linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept.

Here,

Given : (X-5)-1

Thus,

after substituting the value of x with 9

We get,

=> (X-5) -1

=>(9-5)-1

=> 4 -1

=> 3

Therefore , the solution of the problem of linear equation comes out to be the value after substituting is 3.

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What is the solution for the following set of equations 6x 2y 8 3x 7y 68?

Answers

The solution of the set of equations: 6x - 2y = 8; 3x + 7y = 68  is (4,8)

The problem can be solved using elimination - substitution method.

Set of equations:

6x - 2y = 8   .... (equation 1)

3x + 7y = 68 ..... (equation 2)

Divide equation 1 by 2

3x - y = 4   ..... (equation 3)

Eliminate x by substracting equation 3 from equation 2:

3x + 7y = 68

3x   - y  = 4    _

      8y = 64

         y = 64/8

        y = 8

Substitute y = 8 into equation 3:

3x - 8 = 4

3x = 12

x = 12/3

x = 4

Hence, the solution is (4,8)

Your question is incomplete, but most probably your question was:

What is the solution for the following set of equations 6x - 2y = 8; 3x + 7y = 68 ?

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This line plot shows the number of laps students ran in gym class.

Select the three true statements about the line plot.

OPTIONS:
Most of the students ran more than 3 laps.


None of the students ran more than 3 1/2 laps.


The same number of students ran 1 lap as ran 2 laps.


Most of the students ran 2 1/2 laps.


The greatest number of students ran 1 1/2 laps.

Answers

Most of the students ran more than 3 laps and Most of the students ran 2 1/2 laps.

How to solve an equation?

An equation is an expression that shows the relationship between two or more numbers.

From the line plot shown:

Total number of students = 3 + 4 + 2 + 2 + 8 + 4 + 6 + 9 = 38

Students who ran more than 3 laps = 2 + 8 + 4 + 6 + 9 = 29

Students who ran more than 2 1/2 laps = 2 + 2 + 8 + 4 + 6 + 9 = 31

Students who ran more than 3 1/2 laps = 2 + 8 + 4 + 6 + 9 = 29

Hence:

Most of the students ran more than 3 laps and Most of the students ran 2 1/2 laps.

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9. Expand :
(i) (3x - 4y + 5z)² (ii) (2a-5b-4c)²
(iii)
(5x + 3y)³
(iv) (6a - 7b)³

Answers

Answer:

Step-by-step explanation:
(i) (3x - 4y + 5z)^2
(a - b + c ) ^2 = a^2 + b^2 + c^2 - 2ab - 2bc + 2ca
9x^2 + 16y^2 + 25z^2 - 24xy - 40yz + 30zx

(ii) (2a - 5b - 4c)^2
(a - b - c)^2 = a^2 + b^2 + c^2 - 2ab + 2bc - 2ac
4a^2 + 25b^2 + 16c^2 - 20ab + 40bc - 16ac

(iii) (5x + 3y)^3
(a + b)^3 = a^3 + b^3 + 3ab(a+b)
125x^3 + 27y^3 + 3×5×3(5+3)
125x^3 + 27^3 + 360

(iv) (6a - 7b)^3
(a - b)^3 = a^3 - b^3 - 3ab(a-b)
216a^3 - 343b^3 - 3×6×7(6-7)
216a^3 - 343b^3 + 126

I

Student council is selling personal pan pizzas to raise money for a field trip. They

make a profit of $1. 50 for each pizza they sell. If they already have $235, what is the

minimum number of pizzas must they sell in order to have at least $300?|

Answers

The minimum number of pizzas must they sell in order to have at least $300 is 44.

What is the profit?

The profit is defined as the amount gained by selling a product, and it should be more than the cost price of the product. In other words, the profit is a gain obtained from any business activities.

The student council needs to raise $300 - $235 = $65 to reach their goal.

They make a profit of $1.50 for each pizza they sell.

so they need to sell $65 / $1.50 = 43.333 pizzas to reach their goal.

As you cannot sell a fractional number of pizzas, they need to sell at least 44 pizzas to raise enough money for the field trip.

Hence, the minimum number of pizzas must they sell in order to have at least $300 is 44.

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the swim team trains 4 days every week. Mon, Tues, and Thurs, the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. how many hours per week does the team train?

Answers

The number of hours that the team trains per week is 17 hours.

How to illustrate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. The number of hours will be:

( 1 1/4 + 1/2 + 2 1/2) × 4

= 4.25 × 4

= 17 hours.

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Geometry Questions....need help pls

Answers

This given figure carries onto themself at 360, 180, and 60 degrees respectively.

What does carrying a figure onto itself mean?

If a rotation between 0° and 360° around the center of a figure in the plane may map the figure onto itself, the figure possesses rotational symmetry. From its starting point, the figure can be rotated and mapped onto itself. The symmetry is of order 4. As a result, the figure displays both rotational and line symmetry.

Given three figures those figures have rotational symmetry from their center point.  The fixed point that the rotation revolves around in a figure or object with rotational symmetry is referred to as the center of rotation.

for figure 1

figure 1 does not have rotational symmetry on any given angles thus, its rotational symmetry would be 1 since it carries onto itself at 360°.

for figure 2

figure 2 has rotational symmetry at 180°. thus, its rotational symmetry would be 2 since it carries onto itself at 180° and 360°.

for figure 3

figure 3 has rotational symmetry at 60, 120, 180, and 240. thus, its rotational symmetry would be 6 since it carries onto itself at 60, 120, 180, 240, and 360°.

therefore, the given figures have 1, 2, and 6 rotational symmetry.

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3 ratios equivalent to 6/18

Answers

Answer:

Step-by-step explanation:

divide them both by 2

which is 3/ 9

divide them both by 3

whic is 2/6

and finally divide them both by 6

which is 1/3

you can multiply them both by an number as well

take care

Sergio purchased 4 items for $1.50 each. Sales tax was 8.25%. What was the total price?
please explain if you can, thxs!

Answers

Answer:

6.495.

Step-by-step explanation:

The total cost of the items before tax was $1.50 * 4 = $<<1.54=6>>6.

The sales tax was $6 * 8.25% = $<<68.25*.01=0.495>>0.495.

So the total price was $6 + $0.495 = $<<6+0.495=6.495>>6.495.

which of the following inequalities orders the numbers 0.1, 0.04, and 1/6 from least to greatest?

Answers

Answer:

0.04 < 0.1 < 1/6

Step-by-step explanation:

$710 is invested in an account earning 3.7% interest (APR), compounded monthly. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.

Answers

The function for the amount after {t} years can be written as -

[tex]$710(1 + 0.45/12nt)^{nt}[/tex]

What is compound interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

where -

[A] = final amount

[P] = initial principal balance

[r] = interest rate

[n] = number of times interest applied per time period

[t] = number of time periods elapse

Given is that $710 is invested in an account earning 3.7% interest (APR), compounded monthly.

We can write -

A = 710(1 + 0.37/12)¹²⁽¹⁾

A = 710(1 + 0.037/12)¹²

A = 710(1 + 0.031)¹²

A = 710(1.031)¹²

A = 710 x 1.45

A = 1029.5

Let the annual growth rate be R. Then, we can write the function for annual growth rate after {t} years as -

1029.5 = [tex]$ 710(1 + R/1)^{t}[/tex]

1029.5 = [tex]$710(1+R)^{t}[/tex]

1.45 = [tex]$(1 + R)^{t}[/tex]

1.45 = 1 + tR + .....                        {Binomial expansion}

Neglecting the binomial series from the third term as the value of the terms become negligible -

1.45 = 1 + tR

R = 0.45/t

Function for the amount after t years can be written as -

[tex]$710(1 + 0.45/12nt)^{nt}[/tex]= A

Therefore, the function for the amount after {t} years can be written as -

[tex]$710(1 + 0.45/12nt)^{nt}[/tex]

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The annual cost of Randall coverage is 4900. The college pays 62% of the cost. How much is Devi red from his biweekly paycheck for medical insurance?

Answers

$1862  is Devi red from his biweekly paycheck for medical insurance

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The annual cost of Randall coverage is 4900.

The college pays 62% of the cost.

We need to find How much is Devi red from his biweekly paycheck for medical insurance

Let us convert 62% to decimal value by dividing with 100

62/100=0.62

Now multiply 0.62 with 4900

0.62×4900

3038

Now subtract 3038 from 4900

4900-3038

1862

Hence, $1862  is Devi red from his biweekly paycheck for medical insurance

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How do you find angles with AAA?

Answers

AAA triangles are impossible to solve further since there is nothing to show us the size.

The AAA triangle is a triangle in which all three angles are given, and the triangle is said to be similar to another triangle if any two of its three angles are equal to any two of its three angles.

Knowing only angle-angle-angle (AAA) is insufficient because it can result in triangles that are similar but not congruent.

There are four shortcuts that can be used to check whether two triangles are congruent.

You don't need to be familiar with all of the six corresponding parts, which include three angles and three sides.

When a triangle's three angles are known but not its sides, the answer is "AAA."

Since there is no information to indicate size, AAA triangles are impossible to solve further. We know their shape but not their size.

Hence, the AAA triangles are not solvable or difficult to find angles.

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Complete the table for an object that goes 3/4 miles in 6 minutes.


Write any fraction as follows: 1/2 for one half

Answers

The speed of Ana is in miles per hour 7.5mph

By dividing the distance Ana covered by the amount of time she spent running, one may calculate her speed in miles per hour. Since the question asks for the speed to be calculated in miles per hour, an hour rather than a minute would be utilized as the unit of time.

Speed = distance ÷ time

Distance =  3/4

Time =  1/10

Speed = 3/4  ÷  1/10

Speed =  3/4   x 10 = 15/2 miles per hour

or, 7.5mph

Divide the distance Ana covered by the time she ran to get her speed.

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The question is incomplete

Ana runs 3/4 mile in 6 minutes or 1/10 hour. Assuming she runs at a constant rate, what is her speed, in miles per hour

Is 8 15 17 a right angle triangle?

Answers

No, 8 15 17 is not a right angle triangle. A right angle triangle is a triangle in which one of the three angles is equal to 90 degrees.

To determine if a triangle is a right angle triangle, we can use the Pythagorean theorem. This states that in a right angle triangle, the sum of the squares of the two shorter sides (a and b) will equal the square of the longest side (c).

In this case, the length of the sides are 8, 15 and 17. We can calculate the sum of the squares of the two shorter sides, which is 8² + 15² = 144 + 225 = 369. However, the square of the longest side (17²) is 289. Since 289 is not equal to 369, this means that 8 15 17 is not a right angle triangle.

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What is elimination method example?

Answers

The elimination method is used for solving linear equations. Here we make use of the addition property of equality, that is when same number is added on both sides of equation, it still remains equal.

Lets look into some examples.

 Example 1

     x + y = 10  

      x - y = 2

By adding both equations,

     x + y + x - y = 10 + 2

 + y and - y are cancelled or y term is eliminated.

      2x = 12

       x  = 6

Example 2

     2x + 3y = 10

   -3x + 3y  = 15

Here to eliminate y, we have to add the additive inverse of second equation.

  2x + 3y + 3x - 3y = 10-15

    5x = -5

      x = -1

Example 3

   x + 4y = 5

   3x - y = 2

To equalize the y term we multiply the second equation by 4

   12x - 4y = 8

Adding both equations,

x + 4y + 12x - 4y = 5 + 8

13x = 13

x = 1

So elimination method is used for solving linear equations.

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Find (f/g)(x) for.
f(x) =
X² - 8x+16/
2 + 2x
; g(x) =
(6x)/
(x-4)

Answers

Therefore , the solution of the given problem of function comes out to be  f(g(x)) = x[tex]X^{2}[/tex]−4[tex]X^{2}[/tex]−28x−32/(x−4)

What is function?

Each x value in the domain has one but only one y value range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one

Here,

Given : f(x) =X² - 8x+16/2 + 2x

g(x) =(6x)/(x-4)

To find the f(g(x)) :

=> f(g(x)) = f(6x/(x-4))

=>  f(6x/(x-4)) =  (6x/(x-4) )^2 - 8((6x)/(x-4)) +16/2 + 2(6x)/(x-4)

=>  f(6x/(x-4)) = 36[tex]x^{2}[/tex]/ ( [tex]x^{2}[/tex]+ 16 - 8x) - 36[tex]x^{2}[/tex]/(x+4) +8

=> f(6x/(x-4)) = x[tex]X^{2}[/tex]−4[tex]X^{2}[/tex]−28x−32/(x−4)

Therefore , the solution of the given problem of function comes out to be  

f(g(x)) = x[tex]X^{2}[/tex]−4[tex]X^{2}[/tex]−28x−32/(x−4)

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Please help!!!

if 7^9/7^n = 7^3 then n is ___?

Answers

Answer:

n= 6

Step-by-step explanation:

7^9/7^6 is the same as 7^9 - 7^6/ 7^9-6 but it gives you 7^3

can someone help me find two true statements!

Answers

1. In a triangle line parallel to one side will divides other two sides in the same ratio

2. 8/x = 12/18

   x = 12

How do you find a linear equation from two points?

Finding the slope between two points on a line and solving for the y-intercept in the slope-intercept equation y=mx+b allows us to formulate an equation for that line.

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b).

Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

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Is x2 4x 4 a perfect square trinomial?

Answers

x² + 4x + 4, this is a perfect square trinomial, which is expressed as

(x + 2)²

What is trinomial?

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Given that,

x² + 4x + 4

= (x)² + 2(2x) + 4

= (x)² + 2(x)(2) + 2²

This is similar to a² + 2ab + b² = (a + b)²

so, we can write:

= (x + 2)²

= (x + 2) (x + 2)

so, this is a perfect square trinomial.

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A dog takes 3 steps to walk the same distance for which a cat takes 4 steps. Suppose 1 step of the dog covers 1 foot. How many feet would the cat cover in taking 12 steps

Answers

According to unitary method, cat takes 12 steps to cover 9 feet.

How do you translate distance in steps?

Measure your stride length or assume that it is 2.2 feet for women and 2.5 feet for men to determine it. Add the stride length to the number of steps, for example, 2.2 feet multiplied by 1,000 feet equals 2,200 feet. The answer is 2,200 ft / 5,280 0.42 mi when expressed in miles.

Given, it takes a dog three steps to cover the same distance as a cat four steps.

4 steps of a cat = 3 steps of a dog

12 cat steps equal (3/4)*12 to 9 dog steps.

Additionally, a dog's step covers one foot.

The dog moves nine feet in nine steps.

So a cat takes 12 steps to cover 9 feet.

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Which statements are correct when translating this phrase into a variable expression?
The product of 8 and y decreased by 10

A 8y + 10

B Product means to multiply

C 8y-10

D product means to multiply

E y/x - 10​

Answers

Therefore , the solution of the given problem of algebra comes out to be

Product means to multiply and decreased means to subtract so option C only seems valid

Define Equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Define Algebraic expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

Product means to multiply and decreased means to subtract so option C only seems valid

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Use the diagram to find.. (Trigonometry)

Answers

Answer:

Step-by-step explanation:

b and f

3. The difference between the digits in a two-digit numeral is 3. The units’ digit is twice the tens’ digit. Find the numeral.

Answers

Answer:

36

Step-by-step explanation:

let the number be 10x+y

x - y = 3 (eq 1)

given: y = 2x (eq 2)

putting 2 in 1

x - 2x = 3

-x = 3 (we can ignore the negative sign for now because we only need to find the absolute value)

y = 6

number is 36

. The length of one line segment is 9cm and the length of a parallel line segment is 3cm. What scale factor would you need to use to map the first line segment onto the second line
semgment?
O 9/3=3
O 9x3=27
O 3/9=0.33
O 9/9=1

Answers

Scale factor required to map the first line segment onto second line segment is 3/9=0.33

What is scale factor?

The scale factor is the ratio of the length of the image to the length of the pre-image.

In this case, we're looking for the  that would map the first line segment (length 9cm) onto the second line segment (length 3cm).

To find the scale factor, we can divide the length of the image by the length of the pre-image:

scale factor = length of image / length of pre-image

In this case:

[tex]ScaleFactor=\frac{Length Of Image}{Length Of Pre-image}[/tex]

[tex]scale factor = 3cm / 9cm = 1/3=0.033[/tex]

So the scale factor to map the first line segment onto the second line segment is 1/3.

It means the 1st line is 3 times longer than the second one.

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Hanna is recovering
hundreds of treasure chests from an ancient
shipwreck. She is able to
récover 8 chests every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
10

Answers

Answer:

12

5

Step-by-step explanation:

if 8 chests = 4hrs

then X chests= 6hrs

cross multiply

48=4x

divide by 4

X= 12

repeat the same for the second using any and you'd get 5

A karate studio offers a 6 week session for
$175. How much would you expect to pay for
a 9 week session?

Answers

Answer:

262.5 $

Step-by-step explanation:

A karate studio offers a 6 week session for

$175. How much would you expect to pay for

a 9 week session?

find the cost of 1 session

175 : 6 = 29.16

multiply by the number of weeks

29.16 x 9 = 262.5

or

175 : 6 = x : 9

x = 175 x 9 : 6

x = 262.5

I GIVE THANKS AND MARK BRAINLIEST

What is the correct answer?
Please help.

Answers

Answer:if the siblings are less and the child are more u should remove  the percent from the difference and put it to the another one the one from  down there so the difference is 70% so try the same from down  there is 18 so it got to be 20

Answer:20

Which milk product will have approximately 15.36 grams of milk fat in an 80-gram serving?(Heavy Cream: 36.7%, Light Cream 19.2%, Whole Milk 3.5%, Low-Fat Milk 1.5%, Skim Milk 0.05%)

Answers

The Light cream with 19.2% content will have 15.36g of milk.

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here Light cream as 19.2% of 80g

∴ 0.192×80=15.36g

Hence, The Light cream with 19.2% content will have 15.36g of milk.

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distance of -6,8 and 1,7

Answers

The distance between (-6,8) and (1,7) is 8.5 units.

Answer:

d ≈ 7.07 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 6, 8 ) and (x₂, y₂ ) = (1, 7 )

d = [tex]\sqrt{((1-(-6))^2+(7-8)^2}[/tex]

  = [tex]\sqrt{(1+6)^2+(-1)^2}[/tex]

  = [tex]\sqrt{7^2+1}[/tex]

  = [tex]\sqrt{49+1}[/tex]

  = [tex]\sqrt{50}[/tex]

  ≈ 7.07 units ( to 2 decimal places )

Other Questions
I need help with this you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct Put the pieces of this summary of Melvilles novel Moby-Dickin order: Captain Ahab reveals the purpose of this voyage, which is to hunt down a white whale that injured him. Before long, the whale is sighted and the battle begins. The conflict has been resolved and order restored at the expense of the Pequod, its crew, and its captain. At the beginning of the story, we meet the narrator, who introduces us to Captain Ahab and the crew of his ship, the Pequod. As he fights to capture the whale, Ahab is killed. All of Ahabs men are also killed and the Pequod is destroyed! At the end of the novel, the narrator explains how he lived to tell the tale. What order does the summary lie upon from exposition, rising action, climax, falling action, and conclusion. Anna says "People don't have purposes" but then goes on to list examples of people'spurposes. Which statement best describes Anna's use of the word "purpose" throughout thepassage? I need help pleaseee PLZ HELP!!!!!!!!!!!IM BEING TIMED!!!!!!!!!!!HELP!!!!!!!!!!!!!!!!!! Selena has 9 homemade bracelets for $12 each then 14 bracelets for $8 each. How much did she make in sales?(Use the correct operation or combination of operations to solve the problem) PLS ANSWER THIS QUESTION One method users can employ to determine what the Game Camera object 'sees' is by looking for the yellow box it draws around a scene view.TrueFalse Describe a sequence of transformation that maps triangle DOG onto triangle CAT Animation today uses far fewer frames per second than early animationO TrueO False Plzz help me Well Mark Brainliest if correct!, The individuals of this population mate randomly and never move (i.e., there is no migration into or out of the population), and mutation also does not occur. Each couple has two children and the parents die after having their second child, so the population size does not change. Answer the questions about this population after the parents have had both children and are dead. Which is true about the next generation of this population?A. The genotypic frequencies will remain the same as they were in the parent population.B. The genotypic frequencies will be double of what they were in the parent population.C. The allele frequencies will be double what they were in the parent population.D. The allele frequencies will remain the same as they were in the parent population.E. Both genotypic and allele frequencies will remain the same as they were in the parent population. What is the difference between getting energy from cellular respiration and getting energy from a log by burning it? At which points are the equations y = x2 3x 2 and y = 2x 3 approximately equal? During this stage of team formation and function, there may be conflict when individuals realize the responsibility of their role.performingstormingformingnorming Krause Industries balance sheet at December 31, 2016, is presented below.KRAUSE INDUSTRIESBalance SheetDecember 31, 2016AssetsCurrent AssetsCash $7,500Accounts receivable 73,500Finished goods inventory (1,500 units) 26,050Total current assets 107,050Property, Plant, and EquipmentEquipment $40,430Less: Accumulated depreciation 10,090 30,340Total assets $137,390LSales budget (8,000 units at $32) $76,800 $256,000Direct materials used 13,570 62,500Direct labor 12,500 50,900Manufacturing overhead applied 10,000 49,270Selling and administrative expenses 16,660 75,000To meet sales requirements and to have 2,500 units of finished goods on hand at December 31, 2017, the production budget shows 9,000 required units of output. The total unit cost of production is expected to be $18. Krause uses the first-in, first-out (FIFO) inventory costing method. Interest expense is expected to be $3,500 for the year. Income taxes are expected to be 40% of income before income taxes. In 2017, the company expects to declare and pay an $10,560 cash dividend.The companys cash budget shows an expected cash balance of $5,880 at December 31, 2017. All sales and purchases are on account. It is expected that 60% of quarterly sales are collected in cash within the quarter and the remainder is collected in the following quarter. Direct materials purchased from suppliers are paid 50% in the quarter incurred and the remainder in the following quarter. Purchases in the fourth quarter were the same as the materials used. In 2017, the company expects to purchase additional equipment costing $11,900. $9,437 of depreciation expense on equipment is included in the budget data and split equally between manufacturing overhead and selling and administrative expenses. Krause expects to pay $9,260 on the outstanding notes payable balance plus all interest due and payable to December 31 (included in interest expense $3,500, above). Accounts payable at December 31, 2017, includes amounts due suppliers (see above) plus other accounts payable of $8,250. Unpaid income taxes at December 31 will be $7,860.(a) Prepare a budgeted statement of cost of goods sold.KRAUSE INDUSTRIESBudgeted Cost of Goods SoldFor the Quarter Ending December 31, 2017For the Year Ending December 31, 2017December 31, 2017Cost of Goods ManufacturedManufacturing Overhead AppliedCost of Goods Available For SaleDirect Materials UsedIncome Tax ExpenseNet Income / (Loss)Selling and Administrative ExpensesSalesInterest ExpenseCost of Goods SoldFinished Goods Inventory, 1/1/17Finished Goods Inventory, 12/31/17Direct Labor $Cost of Goods ManufacturedCost of Goods Available For SaleFinished Goods Inventory, 1/1/17Selling and Administrative ExpensesCost of Goods SoldFinished Goods Inventory, 12/31/17Direct Materials UsedDirect LaborManufacturing Overhead AppliedIncome Tax ExpenseInterest ExpenseNet Income / (Loss)SalesCost of Goods Available For Sale Cost of Goods Manufactured Cost of Goods Sold Finished Goods Inventory, 12/31/17 Finished Goods Inventory, 1/1/17 Direct Materials Used Direct Labor Manufacturing Overhead Applied Income Tax Expense Interest Expense Net Income / (Loss) Sales Selling and Administrative Expenses $ Cost of Goods Manufactured Direct Materials Used Net Income / (Loss) Cost of Goods Available For Sale Manufacturing Overhead Applied Cost of Goods Sold Finished Goods Inventory, 12/31/17 Sales Selling and Administrative Expenses Finished Goods Inventory, 1/1/17 Direct Labor Income Tax Expense Interest ExpenseCost of Goods Sold Selling and Administrative Expenses Finished Goods Inventory, 1/1/17 Cost of Goods Available For Sale Finished Goods Inventory, 12/31/17 Direct Labor Direct Materials Used Income Tax Expense Manufacturing Overhead Applied Cost of Goods Manufactured Net Income / (Loss) Interest Expense SalesNet Income / (Loss)Direct Materials UsedDirect LaborManufacturing Overhead AppliedInterest ExpenseIncome Tax ExpenseSalesSelling and Administrative ExpensesCost of Goods SoldCost of Goods Available For SaleCost of Goods ManufacturedFinished Goods Inventory, 12/31/17Finished Goods Inventory, 1/1/17Cost of Goods Available For SaleCost of Goods ManufacturedNet Income / (Loss)SalesSelling and Administrative ExpensesManufacturing Overhead AppliedDirect Materials UsedFinished Goods Inventory, 1/1/17Cost of Goods SoldDirect LaborFinished Goods Inventory, 12/31/17Interest ExpenseIncome Tax ExpenseDirect LaborCost of Goods Available For SaleSelling and Administrative ExpensesNet Income / (Loss)Manufacturing Overhead AppliedCost of Goods SoldFinished Goods Inventory, 1/1/17Interest ExpenseIncome Tax ExpenseSalesDirect Materials UsedCost of Goods ManufacturedFinished Goods Inventory, 12/31/17 $ 30% of what number is 33.0 Find cos(a) in the triangle. How should you punctuate a restrictive modifier ?