Please solve this question!!​

Please Solve This Question!!

Answers

Answer 1

Answer:  (i) 1/221     (ii) 11/221      (iii) 95/663        (iv) 1/663

Step-by-step explanation:

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards  →  3/51 = 1/17

  1st Draw                   2nd Draw                  Outcome         Probability

 King: P(K) = 1/13        King: P(K₂/K₁) = 1/17     King, King       (1/13) x (1/17) = 1/221

*************************************************************************************************

(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

1st draw: 12 Face cards out of 52 total cards → 12/52 = 3/13

2nd draw: 11 remaining Face cards out of 51 total remaining cards  →  11/51

1st Draw                 2nd Draw                  Outcome       Probability

 Face: P(F) = 3/13    Face: P(F₂/F₁) = 11/51   Face,Face     (3/13) x (11/51) = 11/221

*************************************************************************************************

(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

1st draw: 20 Black (not Face) cards out of 52 total cards → 20/52 = 5/13

2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards  →  19/51

  1st Draw                 2nd Draw                       Outcome   Probability

Black: P(B~) = 5/13   Black: P(B~₂/B~₁) = 19/51    B~,B~    (5/13) x (19/51) = 95/663

*************************************************************************************************

(ii) A deck of cards contains 4 Aces out of 52 total cards

1st draw: 4 Aces out of 52 total cards → 4/52 = 1/13

2nd draw: 1 Queen of Hearts out of 51 total remaining cards  →  1/51

  1st Draw                 2nd Draw                   Outcome         Probability

 Ace: P(A) = 1/13      Qh: P(Qh₂/A₁) = 1/51   Ace,Queen(h)   (1/13) x (1/51) = 1/663


Related Questions

Find the circumference of this circle
using 3 for TT.
C ~ [?]
24
C = id

Find the circumference of this circleusing 3 for TT.C ~ [?]24C = id

Answers

Answer:

72

Step-by-step explanation:

The diameter is 24

pi is approximated by 3

The circumference is given by

C = pi *d

   = 3 * 24

    = 72

in a paired design, each pair of observations always consists of measuring the same individual twice. (True or False)

Answers

In a paired design, each pair of observations does not necessarily consist of measuring the same individual twice. Instead, a paired design involves matching pairs of individuals or units based on certain criteria or characteristics and then measuring each individual in the pair under different conditions or at different time points.

This design is often used to compare the effects of different treatments or interventions within the same individuals or to control for individual-specific factors. In a paired design, the pairing could be based on various factors such as age, gender, pre-existing conditions, or other relevant characteristics. For example, in a study evaluating the effectiveness of a new medication, researchers may pair individuals with similar characteristics (e.g., age, gender, severity of the condition) and then administer the new medication to one individual in each pair while providing a placebo to the other individual. By measuring the outcomes within each pair, the researchers can directly compare the effects of the medication and the placebo within the same individuals.

The key aspect of a paired design is that the pairs are matched based on certain criteria, and each pair represents a unique combination of individuals. This allows for a more controlled comparison within the pairs and helps minimize the influence of individual-specific factors on the outcomes of interest.

In summary, a paired design involves matching pairs of individuals based on certain characteristics and comparing the outcomes within each pair. It does not require measuring the same individual twice but rather focuses on comparing different conditions or treatments within matched pairs of individuals.

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Maggie sells homemade cookies. on a dozen cookies she spend 0.50 on flour, 0.70 on sugar, 0.40 on eggs,and 0.40 on packaging if she sells a dozen cookies for six dollars how much profitting does she make

Answers

Using the profit concept, it is found that she makes a profit of $4 selling a dozen cookies for six dollars.

What is a profit?


The profit is given by the subtraction of the revenue by the total costs.

In this problem:

For the dozen cookies, she earned a revenue of 6 dollars.In all, the total cost of the 12 cookies was of 0.5 + 0.7 + 0.4 + 0.4 = 2 dollars.

6 - 2 = 4, hence she makes a profit of $4.

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george drives the first 30 miles of a trip at a constant rate of 40 miles per hour. if he drives the remaining 75 milse of the trip at a constrant rate of 50 miles per hour, what is his average speed for the entire trip

Answers

His average speed for the entire trip is 46.6 mph

We have,

30 miles at 40 mph

time taken at this speed = 30/40 = 3/4 hours

..

75 miles at 50mph

time taken = 75/50 = 3/2 hours

Total time taken = 3/4 +3/2 hours=3+6 /4

=9/4 hours

Total distance traveled = 30+75 = 105 miles

Average speed = 105/ 9/4

=105*4/9

46.6 mph is the average speed.

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compute the number of ways you can select 3 elements from 7 elements.
a. 343
b. 10
c. 21
d. 35

Answers

The number of possible ways in which we can select 3 elements from 7 elements are  given in option d. 35.

There are a total of 7 elements and we can to select 3 elements out of them.

We have to apply the permutation and combination here in order to find the answer,

The formula is ⁿCₐ

Where, C represents combination,

n is the total number of combination,

a is the number of selections that we have to do,

ⁿCₐ = n!/(n-a)!a!

Now, putting n = 7 and a = 3,

ⁿCₐ = 7!/(4)!3!

ⁿCₐ = 35

So, the total number of ways possible are 35.

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ankara güçlendiren 8.sınıf kurumsal deneme 3 cevap anahtarı ank-2303

Answers

Answer:

I found a video that provides the answer key for the Ankara Güçlendiren

Step-by-step explanation:

in an informal survey of students, 20 have dogs, 15 have cats, and five have both. one has a pet squirrel. how many people have a pet dog or a pet cat?

Answers

The people have a pet dog or a pet cat would be 30.

What is Union and Intersection of a numbers?

The set of elements that are contained in either set X, set Y, or both sets X and Y is referred to as the union of two sets X and Y. The set of items that are a part of both sets X and Y is known as the intersection of two sets X and Y.

Given that:

In survey of students,

20 have dogs, 15 have cats, and 5 have both. 1 has a pet squirrel.

n(A)=Student who has dogs.

n(B)=Student who has cats.

and n(AUB)= Student who having both dogs and cats.

So,

n(A)=20

n(B)=15

n(AUB)=5

According to formula,

n(AUB)=n(A)+n(B)-n(A∩B)

i.e. n(A∩B)=n(A)+n(B)-n(AUB)

     n(A∩B)=20+15-5

     n(A∩B)=30

Hence, The people have a pet dog or a pet cat would be 30.

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It’s due today please help meeee!!

Its due today please help meeee!!

Answers

Answer:

450.00 x 0.7 x 1= 315

450.00 x 0.7 x 2 =630

450.00 x 0.7 x 3 = 945

450.00 x 0.7 x 4 = 1260

450.00 x 0.7 x 5 =1575

450.00 x 0.7 x 6= 1890

450.00 x 0.7 x 7 =2205

450.00 x 0.7 x 8 =2520

450.00 x 0.7 x 9 =2835

450.00 x 0.7 x 10 = 3150

Can I be marked Brainliest

In a particular week, Mary
worked 8 hours per day for 3
days and 4 hours per day for 2
days. She was paid $10 per hour.
How much did she earn for that
week?

A. $ 120.
B. $ 320.
C. $ 400.
D. $ 600.​

Answers

Answer:

B. $ 320

Step-by-step explanation:

[8(3) + 4(2)]10

(24 + 8)10

320

THE ANSWER WAS IS: B. $320

Help pleaseeeeeeeeeee

Help pleaseeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

A=1/2h(B+b)

2A=h(B+b)

2A=Bh+bh

2A-Bh=bh

divide both sides by h

(2A-Bh)/h = b

Maybe my brain is broke

Maybe my brain is broke

Answers

The equation the line is, y = -3/2 *x -1

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have ,

from the given graph we get,

the line is passing through the points (0,-1)& ( -2,2)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

now, by solving we get,

-3x-2y=2

Hence, the required equation is, y = -3/2 *x -1

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Twice the sum of a number and 9 is equal to three times the difference of the number and 9 Find the number.

Answers

Answer:

  45

Step-by-step explanation:

You want the number described by, "twice the sum of a number and 9 is equal to three times the difference of the number and 9."

Setup

Let x represent the number. Then "twice the sum of the number and 9" is ...

  2(x +9)

and "three times the difference of the number and 9" is ...

  3(x -9)

These are equal, so we have ...

  2(x +9) = 3(x -9)

Solution

Eliminating parentheses gives ...

  2x +18 = 3x -27

  45 = x . . . . . . . . . . . add 27-2x

The number is 45.

How do write this in terms of sin θ?

How do write this in terms of sin ?

Answers

Using trigonometric identities in terns of sinθ,  tan²θsin²θ = sin⁴θ/(1 - sin²θ)

What are trigonometric identities?

Trigonometric identities are mathematical equations that contain trigonometric ratios.

Given the trigonometric identity tan²θsin²θ, we desire to write it in terms of sinθ, we proceed as follows.

Since we have tan²θsin²θ  (1)

Using the trigonometic identity 1 + tan²θ = sec²θ = 1/cos²θ

Making tan²θ subect of the formula, we have that

tan²θ = sec²θ - 1

= 1/cos²θ - 1

So, substituting this into the given equation, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

Now using the trigonometric identity sin²θ + cos²θ = 1

⇒ cos²θ = 1 - sin²θ

So, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

= (1/(1 - sin²θ) - 1)sin²θ

= [1 - (1 - sin²θ )]sin²θ/(1 - sin²θ)

= [1 - 1 + sin²θ )]sin²θ/(1 - sin²θ)

= [0 + sin²θ )]sin²θ/(1 - sin²θ)

= [sin²θ]sin²θ/(1 - sin²θ)

= sin⁴θ/(1 - sin²θ)

So, tan²θsin²θ = sin⁴θ/(1 - sin²θ)

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Find the center and radius of the circle with the following general-form equation: x^2 + y^2 + 18x + 14y = -105

Answers

Now we have the equation in standard form, with center (-9, -7) and radius √25 = 5. Therefore, the center of the circle is (-9, -7) and the radius is 5.

To find the center and radius of the circle given by the equation x² + y² + 18x + 14y = -105, we first need to write it in standard form, which is:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

To do this, we need to complete the square for both x and y terms. We start by adding and subtracting the squares of half of the coefficients of x and y, respectively:

x² + 18x + y² + 14y = -105

(x² + 18x + 81) + (y² + 14y + 49) = -105 + 81 + 49

(x + 9)² + (y + 7)² = 25

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Twenty film critics each give a new movie a rating from a scale of 1 to 10. The film critics' ratings are shown below.



The number line below represents the scale of a dot plot. Based on the critics' ratings, plot the following values.

the highest rating given
the lowest rating given
the rating that appears the most times

Twenty film critics each give a new movie a rating from a scale of 1 to 10. The film critics' ratings

Answers

a) The Highest Rating is 10

b) The lowest Rating is 3

c) The rating that appears the most times is 7.

What is Range of the data?

The range in statistics refers to the distribution of your data between the lowest and highest value in the distribution. It is a widely used indicator of variation. Measures of variability provide you with descriptive statistics for summarising your data set in addition to measures of central tendency.

Given Ratings:

7, 7, 4, 7, 4, 9, 3, 5, 5, 3, 6, 8, 5, 4, 8, 3, 10, 8, 7,9

a) The Highest Rating is 10

b) The lowest Rating is 3

c) The rating that appears the most times

     Ratings                     Frequency

         3                                 |||

         4                                 |||

         5                                 |||

         6                                   |

         7                                 ||||

         8                                 |||

         9                                  ||

         10                                  |

Hence, the rating 7 appears most times.

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Using a tree diagram and assuming that all options are equally likely, what is the probability of using sprinkles?
Choose
ICECREAM
Choose
TOPPING
nuts
vanilla
sprinkles
nuts
Enter shop
strawberry
sprindes
nuts
chocolate
sprindes

Answers

Some are said more than once but they is 10 different choices together so it’s be ‘1/10 probability’

Translate to an inequality. The amount of water is not to exceed 300 liters. The inequality is L.

Answers

We need to write an inequality from statement "The amount of water is not exceed 300 liters".

We call x the litters of water, so the inequation is:

\(x\leq300\)

Find the measure of the missing angle.

Find the measure of the missing angle.

Answers

Step-by-step explanation:

21°+90°+a=180°111°+a=180°a=180°-111°a=69°

A 2kg bag of flour provides enough flour for 25 rolls. How much flour is needed for 8 rolls in grams?

Answers

Answer:

640 gram 8 rolls

Step-by-step explanation:

2000 ÷ 25 = 80 gram 1 roll

80 × 8 = 640 gram 8 rolls

Please give me brainliest;)

A boy sees a bird sitting on a tree at an angle of elevation of 20°. If a boy is standing 10 miles away from the tree, at what height bird is sitting? ​

Answers

Let that be x

\(\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}\)

\(\\ \rm\rightarrowtail tan20=\dfrac{x}{10}\)

\(\\ \rm\rightarrowtail 0.364=\dfrac{x}{10}\)

\(\\ \rm\rightarrowtail x=10(0.364)\)

\(\\ \rm\rightarrowtail x=3.64mi\)

 A boy sees a bird sitting on a tree at an angle of elevation of 20. If a boy is standing 10 miles away

Answer:

\(\displaystyle 4\:mi.\)

Step-by-step explanation:

\(\displaystyle \frac{10}{h} = cot\:20 \hookrightarrow 10 = hcot\:20 \hookrightarrow \frac{10}{cot\:20} = h; 3,6397023427... \\ \\ \boxed{4 \approx h}\)

OR

\(\displaystyle \frac{h}{10} = tan\:20 \hookrightarrow 10tan\:20 = h; 3,6397023427... \\ \\ \boxed{4 \approx h}\)

I am joyous to assist you at any time.

What is the distance from the point (0,-4) to point (4,4)?

Answers

Answer: Distance is 8.9

Step-by-step explanation:

\(d = √((x2-x1)2 + (y2-y1)2)\)

\((x2-x1) = (4 - 0) = 4\)

\((y2-y1) = (4 -4) = 8\)

Add it all together

\((4)2 + (8)2 = 16 + 64 = 80\)

Square 80

\(\sqrt{80} =4\sqrt{5} \\=8.9443\)

Answer: d=8.9

Step-by-step explanation:

√80=8.9

researchers collected data regarding the blood pressure of 20 individuals. for each individual, they recorded the blood pressure (mm hg), age (years), weight (kg), body surface area (m2), duration of hypertension (years), pulse (beats/min) and a stress index. the data is listed below. the researchers are interested in whether a relationship exists between blood pressure and any (or all) of the factors recorded. the problem examines different levels of regression fits starting with multiple items and moving to fewer items. you may use minitab.

Answers

Yes, there is a relationship exists between blood pressure and all of the factors recorded.

On what factor blood pressure depends upon?

Blood pressure is the force of blood acting against the artery walls. The proper circulation of blood from the heart to the body's organs and tissues depends on normal pressure. Blood is pushed into the remainder of the body with each heartbeat. Pressure is higher close to the heart and lower farther away.

The amount of blood the heart pumps and the size of the arteries through which it travels are two factors that affect blood pressure. The pressure is typically higher the more blood being pumped and the narrower the artery. Systole, when the heart contracts, and diastole, when the heart relaxes, are both used to assess blood pressure.

Start by entering the data into the data table in Minitab. Select Multiple Regression, and then click OK in the Regression Analysis window. Choose Weight and Age as the Dependent and Pulse and Stress as the Independent variables in the Multiple Regression box. Next, select the OK button located in the Output box. The multiple regression fit is represented by the three values: umbcr: The weight and age regression coefficient has an umbcr value of 85.4. This indicates that the blood pressure rises by 0.84 mm Hg for every unit increase in weight and by 1.14 mm Hg for every unit increase in age.

Agc: The regression coefficient for age and weight has an agc value of 1.75. Accordingly, the heart rate rises by 0.075 beats per minute for every unit increase in weight and by 0.135 beats per minute for every unit increase in age. Weight BSA: The weight and body surface area's regression coefficient, or weight BSA, is 2.10. In other words, the body surface area grows by 0.21 square metres for every unit increase in weight and by 0.41 square metres for every unit increase in age.

Hypertension persistence: The regression coefficient for hypertension persistence is 87.01 years, and this number represents the persistence of hypertension. This means that the blood pressure rises by 3.06 mm Hg for every additional year of hypertension. Pulse: The pulse value, or the regression coefficient for pulse, is 905 beats per minute. This indicates that the blood pressure rises by 2.49 mm Hg for every additional beat per minute in the heartbeat. Stress index: The regression coefficient for the stress index is 943, and this is the stress index value. This means that the blood pressure rises by 2.35 mm Hg for every 1 unit increase in the stress index.

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if x is a discrete uniform random variable ranging from one to eight, find p(x < 6).

Answers

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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The inverse of F(x) is a function.
A. True
B. False

The inverse of F(x) is a function.A. TrueB. False

Answers

Answer:

True

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve X.

The measures of the angles of a triangle are shown in the figure below. Solve X.

Answers

Answer:

x = 106º

Step-by-step explanation:

There are 180º in every triangle

x = 180 - 32 - 42

x = 106º

Answer:

x= 106 degree

Step-by-step explanation:

x + 42 + 32=180 degree (sum of interior angles of a triagle is 180 degree)

x + 74 = 180

x = 180 - 74

x = 106 degree

Which two lines represent a system of equations with solution (-6, -2)?

Which two lines represent a system of equations with solution (-6, -2)?

Answers

The solution is: B and E are two correct answers of the question because the solution of the linear equation is (1,-1).

The x-coordinate of the solution is 3, then the solution would lie on a vertical line passing through the point (3, y). We cannot determine if this is true based on the information given.

The x-coordinate of the solution is 1, then the solution would lie on a vertical line passing through the point (1, y). We cannot determine if this is true based on the information given.

The y-coordinate of the solution is 1, then the solution would lie on a horizontal line passing through the point (x, 1). We cannot determine if this is true based on the information given.

The y-coordinate of the solution is 0, then the solution would lie on the x-axis, where y = 0. We cannot determine if this is true based on the information given.

The y-coordinate of the solution is -1, then the solution would lie on a horizontal line passing through the point (x, -1). This is a possibility, but we cannot confirm it without seeing the graph.

Therefore, the two correct answer choices are:

B. The x-coordinate of the solution is 1.

E. The y-coordinate of the solution is -1.

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Question:

Two lines representing linear equations are graphed on the coordinate grid. Which statements about the solution to the system of equations are true? Select two correct answers

A. The x-coordinate of the solution is 3.

B. The x-coordinate of the solution is 1.

C. The y-coordinate of the solution is 1.

D. The y-coordinate of the solution is 0.

E. The y-coordinate of the solution is -1.

is a solution to the equation 2(x - 5) = 9 - 3x + 7.

Answers

Answer:

x=26/5

Step-by-step explanation:

2(x - 5) = 9 - 3x + 7.

2x-10=9-3x+7

+3x         +3x

5x+-10=16

     +10=+10

5x=26

divide by 5x

x=26/5

2x-10=9-3x+7
2x-10+10=9-3x+7-10
2x=9-3x+7-10
2x+3x= 9+7-10
5x=16-10
5x=6
X=6/5

Solve for length of segment c.

Solve for length of segment c.

Answers

In the given diagram, using the intersecting secant theorem, the length of c is 2 cm

Intersecting secant theorem: Calculating the length of c

From the question, we are to determine the length of segment c

From the intersecting secant theorem, we have that

If two secant segments intersect outside a circle, then the product of the secant segment with its external portion equals the product of the other secant segment with its external portion

Thus,

In the given circle, we can write that

a × b =  c × d

Substitute the values

3 × 12 = c × 18

36 = c × 18

Divide both sides by 18

36 / 18 = (c × 18) / 18

2 = c

Therefore,

c = 2

Hence, the length of c is 2 cm

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Solve the system of equations by elimination

Solve the system of equations by elimination

Answers

From the equations we get 'x' as '-2' and 'y' as '-7'

What is an equation?

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. An equation consists of two expressions joined by an equals sign ("="). The expressions on each side of the equals sign are referred to as the equation's "left-hand side" and "right-hand side." The right-hand side of an equation is frequently considered to be zero.

4x - 2y = 6....................equation (1)

-2x + 4y = -24...............equation (2)

Multiply equation (1) by 2 and add with equation (2)

8x - 4y =   12

-2x + 4y = -24

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

6x         = -12

or, x = -12/6 = -2

from equation (1),

     4x - 2y = 6

or, 4(-2) - 2y = 6

or, -2y = 6 + 8

or, y = 14/-2 = -7

Hence, from the equations we get 'x' as '-2' and 'y' as '-7'

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Suppose that in 2018 NCSSM used 60,000 sheets of paper in the printers. Due to the growing use of computers and the Sustainability Initiative, the use of paper has been decreasing since then at the rate of 2.25% each year. a) [3 pts) How much paper will be used next year (2023)? Write the equation(s) used for solving the problem. b) [4 pts] Assuming that the paper use continues to decrease at the same rate, how many total sheets of paper will be used from 2018 (including 2018) through the end of 2030? Show all work needed to solve the problem including the equation used for solving the problem.

Answers

The answer to part a) is that next year, in 2023, NCSSM will use approximately 55,485 sheets of paper. In part b), total of approximately 363,353 sheets of paper will be used from 2018 through the end of 2030.


a) To calculate the paper used in 2023, we start with the initial amount used in 2018, which is given as 60,000 sheets of paper. We then need to calculate the decrease in paper use over the years. The rate of decrease is given as 2.25%, which can be written as 0.0225 in decimal form. To find the paper used in 2023, we multiply the initial amount by (1 - rate of decrease)^5, since five years have passed from 2018 to 2023.

b) To calculate the total paper used from 2018 to 2030, we need to sum up the paper used for each year in that time period. We start with the initial amount used in 2018, which is 60,000 sheets. Then we calculate the paper used each year using the same formula as in part a), multiplying the initial amount by (1 - rate of decrease)^n, where n represents the number of years since 2018. We sum up these values for the years 2018 to 2030, which is a total of 13 years.

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