a teacher promised a movie day to the class that did better, on average, on their test. The box plot shows the results of the test

Answers

Answer 1

The question is incomplete. The complete question is

A teacher promised a movie day to the class that did better, on average, on their test. The box plot shown in the below-mentioned figure shows the results of the test.

Which class should get the reward, and why?

- The 2nd-period class should get the reward. They have the highest score, a perfect 100.

- The 2nd-period class should get the reward. They have a higher median.

- The 4th-period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd-period class.

- The 4th-period class should get the reward. Their lowest score is an outlier and should be thrown out.

The box plot shown in the question provides the information that
In 2nd period the minimum of the data is 77, first quartile is 78, median of the data is 89, third quartile is 92 and the maximum of the data is 100.
Hence, the mean of the results of 2nd period is

[tex]\frac{77+78+89+92+100}{5}=87.2[/tex]

In 2nd period the minimum of the data is 72, first quartile is 83, median of the data is 89, third quartile is 96 and the maximum of the data is 98.

Hence, the mean of the results of the 4th period is

[tex]\frac{72+83+89+96+98}{5}=87.6[/tex]

Hence, obviously, the 4th period is having more mean.

Moreover, we can observe that if more of the marks are on the higher side the average will automatically be more. Hence, as the first and the third quartiles are more on the 4th-period, so the average marks for the 4th period must be better.

So, just by observing the box plot, we can give the statement that  "The 4th-period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd-period class. "

Therefore, the 4th-period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd-period class.

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A Teacher Promised A Movie Day To The Class That Did Better, On Average, On Their Test. The Box Plot

Related Questions

Which ordered pair is on the graph of the equation 4x + 3y = 13?


(1, 6)


(0, –3)


(1, –3)


(4, –1)

Answers

(4,-1) is correct
There are two ways to find out answers
1) try substitute those x, y points in the equation and the number which results 13 will be the right answer.
2) u can get equation of y=13/3 - 14x/3
then u go try substitute the value of x to any number find possible solutions.

Hopes this helps.

I WILL GIVE BRAINLIEST
PLEASE LOOK AT PICTURE
What are the foci of this ellipse?

ANSWER CHOICES: are in picture

Answers

The foci of the ellipse lie on the major axis of the ellipse and are equidistant from the origin.

Please answer these questions!!!!

Answers

Answer:

BEC = C. 50

BCD = A. 120

Step-by-step explanation:

BEC

65 + 65 = 130

180 - 130 = 50

BCD = 180 - 60 = 120

BEC is 50

A) 120°

Explanation: The angle ACD shows 180°. We are given 60°. 180°-60°=120°, Hope this helped! :D

Select the correct answer from each drop-down menu.
Are these lines perpendicular, parallel, or neither based off their slopes?
6x - 2y = -2
y = 3x + 12

The __ of the slope is __ so the lines are __ .

Answers

From the slope, it is possible to classify the lines as parallel.

Linear Function

A line can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:

a= the slope

b=constant term that represents the y-intercept.

The lines are classified as parallel when they have the same slope. You will have perpendicular lines when one line is the negative reciprocal of the second line. If the lines intersect, none of the previous conditions presented are met.

The given equations are:

6x-2y=-2 (1)

y=3x+12 (2)

First, you should write the equation 1 in the standard form.

-2y=-6x-2

-y=-3x-1

y=3x+1

Therefore, the slope for equation 1 is m=3.

After that, you should indicate the slope for equation 2. Thus, m also is 3.

As, both equations present the same slope (m=3). The lines are parallel.

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Answer: The Product(?) of their slopes is 3, so the lines are parallel

Step-by-step explanation:

summary of what the other person said

How to 24-[5408÷48{×41+701]-240}-240÷16​

Answers

do in oder of pemdas....

A local high school has 1,203 students with 367 freshmen, 382 sophomores, 249 juniors, and 205 seniors. What is the relative frequency of students who are not
seniors at this high school?
The relative frequency is %.
(Type an integer or decimal rounded to the nearest tenth as needed.)

Answers

The relative frequency of students who are not seniors at this high school will be 82.96%.

How to find how much percent 'a' is of 'b'?

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

P = a/b × 100

A local high school has 1,203 students with 367 freshmen, 382 sophomores, 249 juniors, and 205 seniors.

Then the relative frequency of students who are not seniors at this high school will be

P = 998/1203 × 100

P = 0.82959 × 100

P = 82.959%

P ≈ 82.96%

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The difference between two numbers is -1 and their sum is 1. Find the two numbers.

Answers

Answer:

Let the no. be X and Y

X - Y = (-1)

X + Y = 1

X = (-1)+ Y

X = 1 - y

- 1.+ y = 1 - y

Y + Y = 1 + 1

2y = 2

Y = 1

X = 0

Answer:

x = 0 (first number), y = 1 (second number)

Step-by-step explanation:

x will represent the first number, and y will represent the second.

x - y = -1

x + y = 1

Now, it's time to get y by itself in one equation so that we can substitute.

x - y = -1 (subtract x from both sides)

-y = -1 - x (multiply both sides by -1)

y = x + 1

Plug in x + 1 for y in the second equation.

x + x + 1 = 1 (combine the x with the x)

2x + 1 = 1 (subtract 1 from both sides)

2x = 0 (divide both sides by 2)

x = 0

Since x = 0, we can plug 0 in for x into any equation to solve for y.

0 + y = 1

y = 1

Brainliest, please :)

A random sample is selected from a population with mean = 100 and standard deviation = 10. Determine the mean and standard deviation of the x sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.)
If N=41
If N=130

Answers

The mean and standard deviation of the x sampling distribution for each of the following sample sizes will be [tex]N(100,10/\sqrt{41} ), N(100,10/\sqrt{130} )[/tex].

What is the distribution of the sample mean for large samples?

Suppose X has a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma,[/tex]then,

the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with a mean equal to the mean of X, and a standard deviation equal to [tex]\sigma/\sqrt{n}[/tex]

Symbolically, we write it as:

[tex]X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )[/tex]

A random sample is selected from a population with a mean = of 100 and a standard deviation = of 10.

The mean and standard deviation of the x sampling distribution for each of the following sample sizes.

If N=41

[tex]X \sim N(100, 10) \implies \overline{X} \sim N(100,10/\sqrt{41} )[/tex]

If N=130

[tex]X \sim N(100, 10) \implies \overline{X} \sim N(100,10/\sqrt{130} )[/tex]

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Which of the following is a requirement for multiple regression?
3.
Categorical variables only
O b. A small sample size
O c. Obiective measures only
O d. Absence of multicollineerity between variables
0 e.
Subjective measures onlv

Answers

Answer:

insectistics a category variable also called various validity variable is a variable that can take on a limited as usually fixed number two possible values assigning each into visual or other unit of the vision 2 a particular group aur nominacle category of the basis some qualitative

A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C. The difference from the previous year is less than the margin of error of about 0.13 degrees C, so that difference should be ignored. What is the best counterargument?


The difference is only 0.04, but that is still a significant change.


The margin of error is quite small compared to the change year over year, so it is a significant issue.


The change of 0.09 is not a lot and thus should be ignored.


The margin of error is larger than the increase, so we should consider it an issue of just extra information and thus can be ignored.

Answers

The best counterargument: the margin of error is quite small compared to the change year over year, so it is a significant issue.

What is Margin error?

In statistics, the margin of error refers to half the confidence interval. It measures how much of a random sample does not fall within the confidence interval as the number of samples taken increases indefinitely.

As, the temperature rises by 0.09 degree.

So, the difference between margin error and increase is higher which is

= 0.13- 0.09

=0.04

Hence, The margin of error is quite small compared to the change year over year, so it is a significant issue.

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A shop advertised a 24%-off sale. If a coat originally sold for $258, find the decrease in price and the sale price.
The decrease in price is $
The sale price is $
کے

Answers

Answer:

The decrease in price is $61.92

The sale price is $196.08

Step-by-step explanation:

24% × 258 = 61.92

258 decrease 24% =

258 × (1 - 24%) = 258 × (1 - 0.24) = 196.08

Help please! Geometry word problem!

Answers

By applying reflection theory and constructing a geometric system of two proportional right triangles, the height of the stainless steel globe is approximately 140 ft.

How to estimate the height of the stainless steel globe

By physics we know that both the angle of incidence and the angle of reflection are same. Thus, we have a geometric system formed by two proportional right triangles:

5.6 ft / 4 ft = h / 100 ft

h = (5.6 ft × 100 ft) / 4ft

h = 140 ft

By applying reflection theory and constructing a geometric system of two proportional right triangles, the height of the stainless steel globe is approximately 140 ft.

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PLEASE HELP

Question 3 Alexa wants to use an indirect proof to prove that all rectangles are not squares. She first assumes that all rectangles are squares. Alexa then provides the following counterexample to disprove her assumption. She concludes that all rectangles must not be squares. Which statement best describes Alexa's indirect proof? Alexa's proof is incorrect. She followed the steps of an indirect proof in the wrong order. O Alexa's proof is incorrect. She made an error in her assumption. O Alexa's proof is correct and contains no errors. Alexa's proof is incorrect. She made an error in her counterexample. #​

Answers

Hello! Im Tutor Sezina

Answer:
Alexa proof is incorrect. She made an error in her assumption

Solution:
Her Assumptions was wrong. Not all rectangles are square

Alexa's proof is incorrect. She made an error in her counterexample.

What is rectangle?

"It is a quadrilateral whose all angles measure 90°, opposite sides are parallel and equal in length."

What is square?

"It is a parallelogram whose all sides are equal in length and all angles measure 90° "

What is parallelogram?

"It is quadrilateral whose opposite sides are parallel and equal in length."

What is counterexample?

"It is a special kind of example that disproves a statement. "

For given question,

Alexa wants to use an indirect proof to prove that all rectangles are not squares.

We know that, to prove a theorem indirectly, we assume the hypothesis is false, and then arrive at a contradiction. It follows the that the hypothesis must be true.

Alexa first assumes that all rectangles are squares.

Then she provides counterexample as shown in the given diagram.

The diagram represents the parallelogram not a rectangle.

This means  she made an error in her counterexample.

Therefore, Alexa's proof is incorrect. She made an error in her counterexample.

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Three fourths of X added to twice of X is more than eleven

Answers

3/4x + 2x > 11

Is the answer

Which expression is equivalent to (r^-7)^6?

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{1}{r^4^2}[/tex]  (option B)

Step-by-step explanation:

[tex]\left(a^b\right)^c=a^{bc},[/tex]

So, we need to first multiple -7 × 6 (= -42)

our new value is [tex]r^{-42\\}[/tex]

[tex]\:a^{-b}=\frac{1}{a^b}[/tex]

So, we simplify [tex]r^{-42\\}[/tex] to [tex]\frac{1}{r^4^2}[/tex]

how much would $500 invested at 3% interest compounded continuously be worth after 6 years? Round your answer to the nearest cent. Use 2.718 for e. A(t)=Pe^(rt)

Answers

You are given the equation

A(t) = P*e^(rt)

Where P = Principal

r = interest rate

t = time

e is a mathematical constant equivalent to approx 2.71828

You're told the initial Principal is $500, the interest rate is 3%, over 6 years. So you have everything that you need to solve the problem, just plug in the values and solve for A(6)

A(t) = P*e^(rt)

A(6) = 500 * e^(0.03 * 6)

A(6) = 500 * e^(0.18)

A(6) = 500 * 2.71828^(0.18)

A(6) = 500 * 1.19721

A(6) = 598.60861

So $500 invested 6 years ago at 3% would be worth $598.61 today.

A class of students consists of 9 men and 51 women. Write a proper fraction to represent the part of the class that is women. Reduce the fraction. Change the fraction to a percent.

Answers

Answer:

85%

Step-by-step explanation:

9+51 = 60

(51/3) ÷ (60/3) = 17/20

(17/20)% = 85%

p + (-q) - 2 = ? When p = -3 and q = 5

Answers

Answer:

=  -10

Step-by-step explanation:

p + (-q) - 2 = x

if:

p = -3

q = 5

then:

-3 + (-5) - 2 = x

we know that:

+(-) = -

then:

-3 +(-5) - 2 = -3 - 5 - 2 = x

x = -10

The value of the expression p + (-q) - 2 is -10 if the p = -3 and q = 5 the answer is -10.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

= P + (-q) - 2

Plug p = -3

q = 5

= -3 + (-5) - 2

= -3 - 5 - 2

= -10

Thus, the value of the expression p + (-q) - 2 is -10 if the p = -3 and q = 5 the answer is -10.

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Divide.round to the nearest tenth .16÷.03220

Answers

Answer:

5.0

Step-by-step explanation:

0.16÷0.03220=4.9689

=5.0

Solve for n in the inequality 3|n − 1] > 9. (If this is an "and" inequality, give your answer as a single compound inequality. If this is an "or" inequality, separate your answers using a comma.) Solve for n in the inequality 3 | n − 1 ] > 9. ( If this is an " and " inequality , give your answer as a single compound inequality . If this is an " or " inequality , separate your answers using a comma . )​

Answers

Answer:

3,n-1>9

3>n2+9

3>n11 is ans

A single card is drawn from each of two decks of 52 cards. What is the probability of getting a heart from the first deck and then a diamond on the second deck?

Answers

The probability of getting a heart from the first deck and then a diamond on the second deck will be 6.25%.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The probability of getting a heart from the first deck = 13/52.

And the probability of getting a diamond from the second deck = 13/52.

So, The probability of getting a heart from the first deck and then a diamond on the second deck will be,

Probability = (13/52) × (13/52) = 0.0625 = 6.25%

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1. Solve the given linear equations for 'x':
i ) 3(2x - 3) = 4(2x + 4)
ii )2(x + 2) + 5(x + 5) = 4(x-8) + 2(x - 2)

2. Solve : 3x /4 - 7 /4 = 5x + 12 =

3. Show that x = 4 is a solution for the equation x +7 - 8x/3 = 17/6 - 5x/8

4. Three consecutive integers are as such they are taken in increasing order and multiplied by 2, 3, and 4, respectively, they add up to 56. Find these numbers.

5 . Jane is 6 years older than her younger sister. After 10 years, the sum of their ages will be 50 years. Find their present ages.

6. The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?

7. The digits of a 2-digit number differ by 5. If the digits are interchanged and the resulting number is added to the original number, we get 99. Find the original number.

8. A steamer goes downstream and covers the distance between two ports in 4 hours while it covers same distance upstream in 5 hours .If the speed of the stream is 2km per hour find the speed of the streamer of still water.


9 .Lakshmi is a cashier in a bank. She has currency notes of denominations Rs 100, Rs 50 and Rs 10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs 4,00,000. How many notes of each denomination does she have?

10. The age of a man is 24 years more than his son. In two years, the father's age will be twice that of his son. Find the present age of his son.



Pls tell all answers with rought work ​

Answers

i ) 3(2x - 3) = 4(2x + 4)

[tex]6x - 9 = 8x +1 6 \\ \\ 6x - 8x = 16 + 9 \\ \\ - 2x = 25 \\ \\ x = - \frac{25}{2} .[/tex]

ii )2(x + 2) + 5(x + 5) = 4(x-8) + 2(x - 2)

[tex]2x + 4 + 5x + 25 = 4x - 32 + 2x - 4 \\ \\ 7x + 29 = 6x - 36 \\ \\ 7x - 6x = - 36 - 29 \\ \\ x = - 65.[/tex]

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

2. 3x /4 - 7 /4 = 5x + 12

[tex] \frac{3x}{4} - \frac{7}{4} = 5x + 12 \\ \\ \frac{3x}{4} - 5x = 12 + \frac{7}{4} \\ \\ \frac{3x - 20x}{4} = \frac{48 + 7}{4} \\ \\ \frac{ - 17x}{4} = \frac{55}{4} [/tex]

cancel 4 from both sides

[tex] - 17x = 55 \\ \\ x = \frac{ - 17}{55} .[/tex]

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

3. x +7 - 8x/3 = 17/6 - 5x/8

[tex]x + 7 - \frac{8x}{3} = \frac{17}{6} - \frac{5x}{8} [/tex]

put x = 4

[tex]4 + 7 - \frac{ 8\times 4}{3} = \frac{17}{6} - \frac{5 \times 4}{8} \\ \\ 11 - \frac{32}{3} = \frac{17}{6} - \frac{20}{8} \\ \\ \frac{33 - 32}{3} = \frac{68 - 60}{24} \\ \\ \frac{1}{3} = \frac{8}{24} \\ \\ \frac{1}{3} = \frac{1}{3} .[/tex]

L.H.S. = R.H.S.

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

4. Let 3 consecutive integers : x , x+1 , x+2

As per the question : 2x + 3(x+1) + 4(x+2) = 56

9x + 11 = 56

Transpose 11 to RHS

9x = 45

Divide both sides by 9

x = 5 ,

x + 1 = 5 + 1 = 6

x + 2 = 5 + 2 = 7

Numbers are 5 , 6 and 7 .

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

5. Let the age of Jane’s younger sister is x.

Age of Jane will be x + 6

As per the question, after 10 years the sum of their ages will be 50.

After 10 years,

age of Jane = x + 16

age of her younger sister = x + 10

Therefore,

x + 16 + x +10 = 50

2x + 26 = 50

2x = 24

x = 12

Thus, the present age of Jane’s younger sister is 12 years.

And of Jane’s is 12 + 6 = 18 years.

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

6. Let the breadth of rectangular swimming pool be x metres.

Then, its length = (2x + 2) metres.

We know that the Perimeter of a rectangle

= 2(Length + Breadth)

= 2(2x + 2 + x) = 6x + 4

According to the given condition, we have

6x + 4 = 154

6x = 154 − 4

6x = 150

[Dividing both sides by 6]

x = 25

Thus, breadth = 25 m and

length = 25 × 2 + 2 = 52 m .

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

7. Let the digit in ten's .

Place be x and the digit in the one's place be y.

x − y = 5 ⟶ (i)

Two digit number = 10x + y

Two digit after reversing the digits = 10y + x

According to question ,

10x + y + 10y + x = 99

11x + 11y = 99

x + y = 9 ⟶ (ii)

On adding (i) and (ii),

2x = 14

x = 7

Putting the value of x in equation (i)

x − y = 5

y = 2

Number = 10x + y

=72 .

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

8. Let the speed of the steamer in still water be x km/h.

Then , the speed downstream = (x+2) km/h

and the speed upstream = (x−2) km/h

Given , distance covered in 4 hours downstream = distance covered in 5 hours upstream

4(x + 2) = 5(x − 2)

4x + 8 = 5x − 10

4x − 5x = − 10 − 8

[Transposing 5x to LHS and 8 to RHS]

−x = −18 or x = 18 km/h .

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

9. Let the number of notes of different denomination be x.

∴ Numbers of Rs 100 notes , 50 notes and Rs 10 notes will be 2x , 3x and 5x respectively.

Amount of 100 Rs notes ⇒Rs 100 × 2x = 200x

Amount of 50 Rs notes ⇒Rs 50 × 3x = 150x

Amount of 10 Rs notes ⇒Rs 10 × 5x = 50x

As per the question

Total amount = 400000

200x + 150x + 50x = 400000

400x = 400000 , x = 1000

No of Rs 100 notes = 2x = 2 × 1000 = 2000

No of Rs 50 notes = 3x = 3 × 1000 = 3000

No of Rs 10 notes = 5x = 5 × 1000 = 5000 .

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

10. Let the age of the man be x

Then age of his son becomes (x − 24)

2 years later from now,

Age of man will be = x + 2

and age of his son will be = (x − 24 + 2) = x − 22

According to question,

2(x − 22) = x + 2

i.e., 2x − 44 = x + 2

i.e., x = 46

Therefore ,

Present age of man = 46 years

And present age of his son = 46 − 24 = 22 years .

Write a rule to describe each translation

Answers

Answer:

slide - translate

Step-by-step explanation:

you slided them both as neither of the figures changed

Use the sequence 1, 5, 9, 11, 13, ...

Find the 150th term of the sequence.

Answers

Answer: 597

Step-by-step explanation:

The common difference is 5-1=4, so the explicit formula is [tex]a_{n}=1+(n-1)(4)[/tex]

Substituting in n=150,

[tex]a_{150}=1+(150-1)(4)=\boxed{597}[/tex]

The number of cars at a car dealership is reduced by 10% in the first sales quarter of the year. If the number of cars decreased an additional 20% over the second sales quarter of the year, then by what percent did the number of cars decrease over the two sales quarters? A) 25% B) 28% C) 30% D) 45% ​

Answers

Answer:

B) 28%

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

Let the initial price be x.

After the first sales quarter the price is reduced by 10% and became:

x - 10% = x - 0.1x = 0.9x

After the second sales quarter the price is reduced by 20% and became:

0.9x - 20% = 0.9x - 0.2*0.9x = 0.9x - 0.18x = 0.72x

The decrease over the two quarters is:

x - 0.72x = 0.28x

This is equivalent of 28%, hence the correct answer choice is B.

please help. Show with steps please.
Solve the compound inequality.

0 < 5-2x/3 <5

Answers

Answer: The answer is x < 5/2 and x > -5.

Step-by-step explanation:

First you need to separate the inequality and keep x on one side to maintain consistency. For instance the problem-

[tex]\frac{5-2x}{3} > 0\\\frac{5-2x}{3} < 5\\[/tex]

Now solve as normal.

*Note: When dividing a side or multiplying a side by a negative number, the sign of the inequality switches (this will be shown when I do the equation if it doesn't make since how I word it).

[tex]5-2x > 0*3\\5-2x < 5*3[/tex]

[tex]-2x > 0-5\\-2x < 15-5[/tex]

[tex]x < \frac{-5}{-2} =x < \frac{5}{2} \\x > \frac{10}{-2} =x > -5[/tex]

So, x < 5/2 and x > -5.

If anything is confusing about the procedure just leave a comment, and I'll try to explain further.

Find the value of c that makes the expression a perfect square trinomial. x2 + 9 4 x + c
A) 9/16
B) 9/64
C) 81/16
D) 81/64

Answers

The value of c is 81/64 for the expression a perfect square trinomial.

What is an Expression?

An expression can be defined as a mathematical statement that consists of variables, constants and mathematical operators simultaneously.

It is given that an expression

x² +9/4x +c is a perfect square polynomial

c =?

(a+b)² = a² +2ab+b²

2ab = 9/4

b = 9/8

c = b² = 81/64

Therefore the value of c is 81/64 for the expression a perfect square trinomial.

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Word Problem 3 Priscilla works 43 hours a week for eight weeks. If she makes $14.73 per hour, how much money did she make in the eight weeks? Operation(s): Math sentence(s): Solution: Word Problem 3 Priscilla works 43 hours a week for eight weeks . If she makes $ 14.73 per hour , how much money did she make in the eight weeks ? Operation ( s ) : Math sentence ( s ) : Solution :​

Answers

Answer:

$5067,12

Step-by-step explanation:

14,73*43*8

The required money Priscilla will earn in 8 weeks is $5067.12.

As mentioned in the question, Priscilla works 43 hours a week for eight weeks. If she makes $14.73 per hour,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the amount earned be x,
According to the condition,
x = 8 × 43 × 14.73
x =  $5067.12.

Thus, the required money Priscilla will earn in 8 weeks is $5067.12.

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Use the imaginary number i to rewrite the expression below as a complex number. Simplify
all radicals.
-√√-96
Submit
Work it out

Answers

Step-by-step explanation:

Revin imediat...... ✨.

Find f(g(x)) for the functions f(x)=5sqrt(x+1)-2 and g(x)=x^2-1

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The value of the composite function f(g(x)) is 5x + 2

Composite functions

Composite functions are functions inside another function. Given the following functions:

f(x) = 5√x+1 - 2

g(x) = x² - 1

Determine the composite function f(g(x))

f(g(x)) = f(x² - 1)

f(x² - 1) = 5√x² - 1+1 - 2

f(x² - 1) = 5√x² + 2

f(x² - 1) = 5x + 2

Hence the value of the composite function f(g(x)) is 5x + 2

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