Ellen has a bag with 333 red marbles and 222 blue marbles in it. She is going to randomly draw a marble from the bag 300300300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble? Choose 1 answer:

Answers

Answer 1

The probability best prediction for the number of times that Ellen will draw a blue marble is 200.

Number of blue marbles: 222

Number of red marbles: 333

Total number of marbles: 555

Probability of drawing a blue marble:

222/555

= 0.4

Number of times drawing a blue marble:

300300300 x 0.4

= 120,120,120

Rounded to nearest whole number:

120,120

Ellen has a bag with 333 red marbles and 222 blue marbles in it. She is going to randomly draw a marble from the bag 300300300 times, putting the marble back in the bag after each draw. The best prediction for the number of times that Ellen will draw a blue marble is 200. This prediction is based on the fact that there are more red marbles than blue marbles in the bag. To calculate this, we first need to determine the probability of drawing a blue marble; there are 222 blue marbles out of 555 total marbles, so the probability is

222/555

= 0.4.

Multiplying this by the total number of draws (300300300) gives us 120,120,120. Rounding this to the nearest whole number gives us our prediction of 200 times.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4


Related Questions

tomatoes cost 1.19 per pound which equation best represents y the total cost of x pounds of tomatoes

Answers

Answer:y=1.19x

Step-by-step explanation: Since each pound of tomato costs 1.19, you multiple the price by the amount of pounds to get the total cost.

Charlie runs laps around a track. The table shows how long it takes him to run different numbers of laps. How long would it take Charlie to run 5 laps?

Number of laps 2 4 6 8 10
Time (min) 18 36 54 72 90


It will take Charlie ___
minutes to run 5 laps.

Answers

270 mins - 10 laps

xmins -5 laps

(cross multiply)

270*5=10x

10x=1350

x= 1350/10

x=135 mins

a 10-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 8feet from the base of the building. How high up does the ladder reach?

Answers

The ladder would reach a distance of 6 feet up the wall.

The Pythagorean theorem.

This is a theorem that can be used to determine the unknown side of a right angled triangle. It is given as:

/hyp/^2 = /opp/^2 + /adj/^2

In the given question, the ladder is placed a against a vertical wall of a building. Given that the bottom of the ladder is 8 feet to the base of the building. Therefore this is would form a right angled triangle, such that the Pythagorean theorem can be applied.

So that, let the height of the ladder on the wall be represented by t. Then;

10^2 = t^2 + 8^2

100 = t^2 + 64

t^2 = 100 -64

     = 36

t = (36)^1/2

t = 6 feet

Thus the ladder is placed 6 feet up the vertical wall.

Learn more about the Pythagorean theorem at https://brainly.com/question/29704874

#SPJ1

In ΔNOP,
m

N
=
(
9
x
+
8
)

m∠N=(9x+8)

,
m

O
=
(
4
x
+
13
)

m∠O=(4x+13)

, and
m

P
=
(
2
x

6
)

m∠P=(2x−6)

. Find
m

N
.
m∠N

Answers

Answer: 15

Step-by-step explanation: In ΔNOP,

m

N

=

(

9

x

+

8

)

m∠N=(9x+8)

,

m

O

=

(

4

x

+

13

)

m∠O=(4x+13)

, and

m

P

=

(

2

x

6

)

m∠P=(2x−6)

. Find

m

N

.

m∠N

How many positive two-digit integers are multiples of 5 and of 7?

Answers

The number of positive two-digit integers that are multiples of 5 and 7 are 2

What ae multiples?

In mathematics, multiples are the results of multiplying an integer by a given number.

The multiples of 5 and 7 within 10 to 100 are

35 and 70

multiples of 5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95

multiples of 7: 7 14 21 28 35 42 49 56 63 70 77 84 91 98

The common numbers are 2 which are 35 and 70

Learn more about multiples at:

https://brainly.com/question/28923509

#SPJ1

What is a no solution answer?

Answers

This type of equation is never true, no matter what we replace the variable with. As an example, consider 3x + 5 = 3x - 5. This equation has no solution.

On the way home, Mark rode the first six miles of the trip in 30 minutes to stop at the ice cream shop. What was his speed in miles per hour

Answers

The speed of Mark riding the bike is 16 miles/hour. If you know how far something has travelled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.

What are time, distance, and speed?

Speed tells us how quickly or slowly an object is moving. While distance, as the name suggests, refers to the amount of space between two points, time refers to the period of time separating two events.

Given,

Distance travelled= 6 miles

time taken = 30 minute =0.5 hour

[tex]speed = distance/time\\speed=8/0.5\\speed= 16 miles/hour[/tex]

To know more about  average speed visit:-

brainly.com/question/29829527

#SPJ4

How do I write a system of equations

Answers

So for a word problem I assume you must first define your variables. Ask yourself what is the question asking and how could the question be answered with what you know through relationships that the problem defines. For example if the problem says that the total of a few thing is a number put that in as one of your equations. Examine how relationships like if there is half the amount of variable A than variable B work and figure out how to write that as an equation that makes sense. To double check if you wrote your equations correctly double check the information given in the problem and mentally sound out the equation. Hope this helps and note there are as many equations as there are variables in your system.

On a negatively skewed curve, which is true?
a.The median is lower than the mode which is lower than the mean. b.The mean, median, and mode are the same. c.The mean is lower than the median which is lower than the mode. d.The mode is lower than the mean which is lower than the median. e.The mean is lower than the mode which is lower than the median.

Answers

The mean is lower than the mode which is lower than the median.

What is skewed?

A skewed curve is a type of statistical distribution in which the data is unevenly distributed. It is often referred to as an asymmetric distribution, meaning that the two halves of the curve look different. Skewed curves can be either positively or negatively skewed, depending on which direction the data points are shifted. Positively skewed curves tend to have a long tail to the right, while negatively skewed curves have a long tail to the left. This type of distribution is commonly seen in real-world data, such as income or wealth distributions.

A negatively skewed curve is characterized by a tail on the negative side of the graph. This means that the data points have a higher probability of being lower than the mean. As such, the mean is lower than the mode, which is lower than the median. The mean is the arithmetic average of all of the data points, the mode is the most frequent value, and the median is the midpoint of the data points.

To know more about skewed curve click-
https://brainly.com/question/24055593
#SPJ4

I need help, please
and can someone explain so I can stop posting so many of these?

Answers

it's infinitely many bc the equations have the same line

Answer:

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

Step-by-step explanation:

How many solutions does the following system have?

y = -2x – 4

y = 3x + 3

Solution:

Given y = -2x – 4

y = 3x + 3

Rewriting to the general form

-2x – y – 4 = 0

3x – y + 3 = 0

Comparing the coefficients,

(a1/a2) = -⅔

(b1/b2) = -1/-1 = 1

(a1/a2) ≠ (b1/b2)

Hence, this system of equations will have only one

bonjour svp aide moi

Exercice 7: mon et nop sont deux angles adjacents supplémentaires tel que mOn = 60°.

1°) Calculer nOp.​

Answers

Answer:

n0p = 120°

Step-by-step explanation:

m0n + n0p = 180°

60° + n0p = 180°

n0p = 120°

answer fast need in 10 min

Answers

10 equally sized slices of the spinner's 250 results. 25 times were made by Diane's dial. 12 spins are for 208.33333333333334 .

What is the probability of spinner?

12 spins are for 208.33333333333334, 5 spins are worth 500, and 8 spins are worth 312.5. There are eight possibilities each time you spin the spinner (1-8). One of these eight options is for you to land on the number 8. In this case, the probability is 18.

If you spin three times and fall on red (or any other colour), the likelihood is 3/30. The likelihood that the spinner will land on an even number is 5/10. The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it.

To learn more about spinner probability refer to :

https://brainly.com/question/1231277

#SPJ1

(1 point) | Question Attempt: 1 of Unlimited
Suppose that the functions h and g are defined as follows.
h(x)=x-2
g(x)=(x-4)(x+2)
h
(²)(-1).
(a) Find
h
(b) Find all values that are NOT in the domain of
9
If there is more than one value, separate them with commas.

Answers

All values that are NOT in the domain of 9 are 5 /11 at x=9, where function  h=7.

How can I determine a rational function's domain?

All real numbers x, with the exception of those for which the denominator is 0, are included in the domain of a rational function. Equilibrate the denominator to zero and then solve for x to determine which x values are excluded from the scope of a rational function.

h(x)=x-2\sg(x)=(x-4)(x+2)

Suppose x = 9 and h(9) = 9-2 and g(9) = (9-4) (9+2) =5 /11

Because it is impossible to divide by zero while h is in the denominator, there will always be an issue anytime h = 7. After solving them, we discover that x cannot be either -2 or 5. So, the answer to part B would be x-5/11.or 5/11 are examples of x values that are beyond the domain.

To know more about functions visit:-

https://brainly.com/question/29713349

#SPJ1

Help ASAP!!!!

Which of the following statements is NOT true?

Answers

The third one is incorrect

Express √75 in basic form​

Answers

Answer:

[tex]5 \sqrt{3} [/tex]

Step-by-step explanation:

Frist find which perfect square goes into 75. In this case its 25 * 3. You then find out what is the square root of 25. Which is 5. you put that number outside the radical and the other number inside the radical. resulting in 5 square roots of 3.

Answer: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

5√3

Decimal Form:

8.66025403…

1
5.
grilato 6.
7.
PS).
se
8.
9.
10.
11.
-2619 12.
t-
13.
to
7-
14.
otal deposit for Problems 5 through 19.
Currency
Tens Fives Ones Half Dollars Quarters Dimes Nickels Pennies Checks Total
$96.23 $
6.51
63 874.56
85
123.65
347.98
134.97
0
43.44
5
168.14
31
777.50
154 123.19
12 11
32
9
40
54
75
32
8
7
11
13
10
12
1
16
67
3
133 19
8
15
23
74
0
9
6
7
4
27
11
9
40
15
13
7
0
3
13
34
or
Coins
18
32
56
13
9
5
7
12
11
62
21
86
11
6
8
17
3
319
45
70
27
13
2
13
7
99
0
37
15. Jess Norton stopped at an ATM location to deposit 2 one hundred-dollar
bills and checks for $474.85 and $321.15. He received $50.00 in cash.
16. Olive Baker, Spirit club treasurer, deposits the club's receipts. She has 4
checks for $10.00 each, 12 for $7.50, and cash consisting of six 20-dollar
bills, five 10-dollar bills, and 18 one-dollar bills.
17. Cyndi Winer deposits three checks for $425.22, $883.99, and $57.05. She
also deposits cash of 45 one-dollar bills, 15 five-dollar bills, and 12 ten-
dollar bills. The change deposited includes 28 quarters, 16 dimes, 19
nickels, and 65 pennies. She would like to receive $60.00 in cash.
18. Elias Rubio deposits three checks for $598.20, $2,274.26, and $3,248.79.
His cash consists of 75 one-dollar bills, 78 five-dollar bills, 33 ten-dollar
bills, 80 quarters, 32 dimes, 95 nickels, and 5 pennies. He would like to
receive $40.00 in cash.

Answers

The total cost of Jess Norton is $995.85 and the total cost of Olive Baker is $678 .

What is total cost ?

The total cost formula is used to total up the variable and constant expenses associated with providing commodities. Total cost = (Average Fixed Cost x Average Variable Cost) x Units Produced is the formula.

In economics, total cost is the total of all expenses a company incurs to produce a particular level of output.

The average cost, or the typical sum of money required to create a unit, can be determined using the cost function. The average cost function is A(x)=C(x)x, where x > 0 and C is the constant. Calculating the average cost per unit requires dividing the total cost by the quantity of units produced.

For Jees Norton,                    

 2 one hundred dollar bills = 2 x $100

                                                   = $200                

 Total deposits = 2 one hundred dollar bills + Checks

                                = $200 + $474.85 + $321

                                = $995.85          

                     

For Olive Baker,                    

 Checks amount = $100 x 4

                                   = $400                  

 12 for $7.5

       = 12 x $7.5

       = $90                  

 Six 20-dollar bills = 6 x $20

                                     = $120                  

 Five 10-dollar bills = 5 x $10

                                      = $50                  

 Eighteen 1-dollar bills = 18 x $1

                                            = $18                

 Total deposits = $400 + $90 + $120 + $50 + $18

                                = $678

To learn more about total cost from the given link  

https://brainly.com/question/25109150

#SPJ1

In ΔEFG, g = 8.4 inches, mm∠G=79° and mm∠E=25°. Find the length of f, to the nearest 10th of an inch.

Answers

The 8.4 inches length of g and the 79° and 25° measures of the angles ∠G and ∠E, using the law of sines, indicates that the length of the side  EG = f is about 8,3 inches.

What is the law of sines?

The law of sines states that the ratio of the sine of an interior angle of a triangle to the length of the opposite side to the angle is the same for the three sides and angles in a triangle.

Mathematically, the law of sines can be presented as follows;

[tex]\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} =\dfrac{c}{sin(C)}[/tex]

Where;

a, b, and c are the length of each of the sides of the triangle, and ∠A, ∠B, and ∠C are the measure of each of the interior angles of the triangle.

The details of the triangle ΔEFG, specifying the side g as the side opposite the angle ∠G, and the side f as the side opposite the ∠F we get;

The length of EF = g = 8.4 inches

Length of EG = f

The angle sum property of a triangle indicates that we get;

∠E + ∠F + ∠G = 180°

∠F = 180° - (∠E  + ∠G)

∠F = 180° - (25°  + 79°) = 76°

According to the law of sines, we get;

8.4/(sin(79°) = f/(sin(76°))

f = (sin(76°)) × 8.4/(sin(79°) ≈ 8.3

The measure of the length of f is about 8.3 inches

Learn more on the law of sines here: https://brainly.com/question/16555495

#SPJ1

Select the interval where the graph f is positive

Answers

Answer: A

Step-by-step explanation:

Based on the graph, we know that it is positive if it is above the x-axis. It is also indicated by the positive labels.

A: correct

Looking at choice A, it says the interval is from -2<x<-1. This means we have to find x=-2 and x=-1. On the graph, that interval is above the x-axis, so it is positive.

B: incorrect

Looking at choice B, it says the interval is from -1<x<0. This means we have to find x=-1 and x=1. On the graph, that interval is below the x-axis, so it is negative.

C: incorrect

Looking at choice C, it says the interval is from 0<x<1. This means we have to find x=0 and x=1. On the graph, that interval is below the x-axis, so it is negative.

Therefore, A is the correct answer.

If 7 is an element in the domain of ​f(x)= 6x-18/2, what is the corresponding element in the​ range?

Answers

The corresponding element in the range when 7 is an element  in the domain is f(7)=33

Step-by-step explanation:

Given that the 7 is an element in the domain of f(x)

The function f is defined by f(x)=6x-18/2

To find the corresponding element in the range:

That is put x=7 in the given function f(x)

Therefore f(x) becomes

f(7) = 6(7)-18/2

      =42-18/2

      =42-9

      =33

Therefore corresponding element in the range when 7 is an element  in the domain is f(7)=33

Learn more about how to find the domain of a function here:brainly.com/question/1369616

please help asap. i need help.

Answers

The slope of the linear equation that passes through the two given points is 1/7.

How to find the slope of the line?

A general linear equation can be written in the slope-intercept form as:

y = a*x + b

Where the coefficients are:

a: the slope.

b: the y-intercept.

If a line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is equal to:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the line passes through (-10, -9) and (-3, -8), then the slope of this linear equation will be:

a = (-8 + 9)/(-3 + 10) = 1/7

Learn more about linear equations by reading:

https://brainly.com/question/1884491

#SPJ1

Two shipping companies charge different amounts to ship a package. Company A charges a fee of $6.50 and $0.35 for each pound. Company B charges a fee of $7.25 and $0.25 for each pound. Write an equation that could be used to find p, the number of pounds each package would have to weigh for the total cost of shipping the packages to be the same.

Answers

The number of pounds each package would have to weigh for the total cost of shipping the packages to be the same will be 7.50 pounds.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The cost to transport an item varies between two shipping providers. The price charged by Company A is $6.50 plus $0.35 per pound. Charges from Company B are $7.25 plus $0.25 per pound.

Let 'p' be the number of pounds and 'T' be the total cost of shipping. Then the equations are given as,

T = 0.35p + 6.50

T = 0.25p + 7.25

If the total cost of shipping the packages is to be the same. Then the number of pounds is given as,

0.35p + 6.50 = 0.25p + 7.25

0.35p - 0.25p = 7.25 - 6.50

0.10p = 0.75

p = 7.50 pounds

The number of pounds each package would have to weigh for the total cost of shipping the packages to be the same will be 7.50 pounds.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).

Answers

On solving the provided question, we can say that - the answer of the following sequence 1.9, 3x , 8x will be 13.78x

what is a sequence?

A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms). The length of the sequence refers to the total, potentially unlimited number of ordered items. arranging two or more objects in a logical sequence. Chronological.

sequence 1.9, 3x , 8x

answer is = 13.78x

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ1

A restaurant manager believes that a majority of customers who dine at his restaurant would rate the food as excellent. To investigate this belief, he sends an email survey to a random sample of 50 customers from the large list of customers who have signed up for his frequent diner club. To encourage the customers to complete the survey, he offers a $10 gift card upon completion of the survey. He receives 22 responses, of which 20 rated the food as excellent. He would like to know if these data provide convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent. Are the conditions for inference met

Answers

The conditions for inference are: The customers who are surveyed are chosen independently at random, so we can assume that the survey results are independent.

What do you mean by normalcy?

The amount of grams or mole equivalents of solute present in a solution that contains one liter is what is referred to as normalcy according to the accepted definition. The amount of moles of reactive units in a compound is what we mean when we say it is equal.

Sample size: The manager is surveying 50 customers, which is a moderate-sized sample.Normality: Since the manager is only looking at the proportion of customers who rated the food as excellent, we can assume that the data are approximately normally distributed.Randomness: The manager is using a random sample from the list of customers who have signed up for his frequent diner club, so we can assume that the sample is random.

The conditions for inference are met.

However, to conclude that more than 50% of customers who dine at his restaurant would rate the food as excellent, we need to conduct a statistical test such as a one-sample proportion test or a confidence interval. The manager would need to compare the proportion of the customers who rated the food as excellent from the survey with the proportion of customers who would rate the food as excellent. This would allow to see if the data provides convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent.

Learn more about normality visit:

brainly.com/question/9754178

#SPJ4

what is the answer 6u+2(u-8) - 4

Answers

Answer:

8u - 20

Step-by-step explanation:

Wenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:

# of movies Frequency

0 4

1 9

2 5

3 6

4 1

a) Find the sample standard deviation, s. (Round your answer to two decimal places. )

b) Find the sample mean x^-

Answers

Answer: 35

Step-by-step explanation:

: i took this quiz before :)

what is the common difference for this arithmetic sequence? -6, -2, 2, 6, 10, …

Answers

Answer:

The common difference is 4.

Step-by-step explanation:

If A=(7,9) and B=(3,12) what is the length of AB

Answers

The distance between two points A and B is 5 units.

EU Migration Study

Discussion Question: In the EU migration study, 257 of the 583 immigrants

sampled were male. Let's assume the Trump/Farage claim is true: 60% of all

immigrants are male (p = 0. 60). What is the probability of obtaining 257 or fewer

males in a sample of 583 immigrants? Does this probability make you doubt the

Trump/Farage claim? Why or why not?

P

Normal(up= 0. 6, Op=. 020)

ộ ô

Ô P

ppp

PPPP

ppppppp

Skew The

Scrint

Answers

This probability does not support the Trump/Farage claim that 60% of all immigrants are male.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.

The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).

Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.

Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.

This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.

Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.

To learn more about the probability visit,

https://brainly.com/question/24756209

#SPJ4

PLEASE HELPP

If A and B are supplementary angles and
m/B = 54, find m/A.

Answers

Answer:

m∠A=126°

Step-by-step explanation:

Supplementary means that they add up to 180°.

Therefore we can do 180-54 to get 126° for the m∠A.

Hope this helped! :)

Write an explicit formula for a_na
n

, the n^{\text{th}}n
th
term of the sequence 27, 9, 3, ...27,9,3,....

Answers

The equation which correctly represents the explicit formula for the nth term of the given sequence is; a (n) = a (n - 1) × ( 1 / 3 ) and a (1) = 27.

Which equation represents the nth term of the given sequence?

As evident in the task content; the given sequence is a geometric sequence and the common ratio of the sequence can be determined as;

r = 3 / 9 = 9 / 27 = 1 / 3.

On this note, since the common ratio of the consecutive terms of the sequence is; 1/3 it follows that the required explicit formula which represents the nth term , a (n) is;

a (n) = a (n - 1) × ( 1 / 3 ) and a (1) = 27.

Read more on explicit formula of a geometric sequence;

https://brainly.com/question/21481395

#SPJ1

Other Questions
The president and the vice president are elected to _________________-year terms.Group of answer choicesfourthreefivetwo What is the only real power a vice president has? What is one way that the theme is developed in the story Half a world away The American government was founded on the ideals of , but in its early days, voting was to . helppppppppo please How many planes of cleavage does this mineral have? Choose one: A. 0 B. 2 at 90 intersections C. 3 not at 90 intersections D. 1 Why would being able to create technologies smaller than 100 nanometers be so significant to the medical community? In a survey, 13 out of 20 teachers respond yesto a proposal for a new after-school club. In the same survey, 37 out of 50 students respond yes. a.Which group is more in favor of the new after-school club, teachersor students? Show your work What is the main claim made by the author? Mr. Smith has saved $1,800 each year for 20 years. A year after the saving period ended, Mr. Smith withdrew $7,500 each year for a period of 5 years. In the sixth and seventh years, he only withdrew $5,000 per year. In the eighth year, he decided to withdraw the remaining money in his account. If the interest rate was 6% per year throughout the whole period, what was the amount he withdrew at the end of the eighth year? What is different about the experience of writing a poem collaboratively, compared to writing a poem on your own?the kinds of words you're allowed to useyour level of control over the outcomethe amount of creativity involvedthe level of skill required to participate How do you draw a line segment equal to a given segment? Consider each of the following word problems.Write a word sentence to represent what you are going to do with the numerical values.Include the proper brackets, exponents and operation signs.Substitute the words with an appropriate variable.Solve each problem in good form.1. The school library had a used book sale. Paperbacks were 25 cents each and hardcover bookswere $1.25 each. There were 54 paperbacks and 163 hardcover books sold. How much money didthe library raise?2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $398.60 and herroom costs $115.70 per night. The cab fare from the airport to the hotel is $40.00. If Tamarastays for two nights, how much does the trip cost, excluding the cost of food?3. Paula repairs swimming pools and earns $14.50/h for the first 35 h she works in a week. Forhours over 35 h, she earns 1.5 times as much. If she works 48 hours in a week, how much does sheearn?4. Will and Liam collect baseball cards. Will has 26 cards and Liam has 19. They decided to combinetheir cards. Because they shared, their father decided that he would triple the number of cardsthat they had. After that, their friend Nestor thought that he would add his cards to their bunch.Nestor didnt know how many cards he had but he knew that he could lay them out in rows and thatthey would make a square with one side of his square having 8 cards. How many cards did the boyshave altogether? salve for y (7-x)+(9-y) 26. Universal Containers (UC) has a queue that is used for managing tasks that need to be worked by the UC customer support team. The same team will now be working some of UC's Cases. Which two options should the administrator use to help the support team In an 11v11 adult game, I see a defender challenge for the ball. The defender misses the ball and with their momentum they accidentally but careelessly trip the opponent. The ball rolls over the touchline. What is the restart To insert a new column to left of a specific column right click the header containing the columns letter and select HELP!!! Marta bakes 3 types of cake: chocolate, fruit, and sponge. The recipe for each cake includes flour and sugar and she uses 3.3kg of flour and 3.1kg of sugar in total. Each chocolate cake uses 225 g of flour and 300g of sugarEach fruit cake uses 320g of flour and 250g of sugarEach sponge cake uses 400 g of flour and 325g of sugarMarta sells chocolate cakes for $12, fruit cakes for $10, and sponge cakes for $8 and makes a total of $114How many of each cake does she make?(Answer in the back of the book: 4 chocolate, 5 fruit, 2 sponge cakes) Why is gap between rich and poor growing? Can you solve Pythagorean theorem with only C?