Question A librarian weighs each book that was returned to the library (to the nearest pound). Below is the data. 245 55 Make a dot plot that represents the library book data. 3 4 3 4 4 2 199 CO 8 5 2 CO 8 3 3 Question A librarian weighs each book that was returned to the library ( to the nearest pound ) . Below is the data . 245 55 Make a dot plot that represents the library book data . 3 4 3 4 4 2 199 CO 8 5 2 CO 8 3 3​

Answers

Answer 1

The dot plot that represents the library book data is shown in the image below.

How to Construct a Dot Plot?

To construct a dot plot, each data point is represented as a dot. The number of dots one data point has represents the frequency at which that data point occurs in the data set.

The data set given in the table will have the following data points and frequencies:

1: 1

2: 3

3: 4

4: 4

5: 4

6: 0

7: 2

8: 2

The dot plot for the data is shown in the image below.

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Question A Librarian Weighs Each Book That Was Returned To The Library (to The Nearest Pound). Below
Question A Librarian Weighs Each Book That Was Returned To The Library (to The Nearest Pound). Below

Related Questions

Transcribed image text: In 2000, 47% of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.8% per year since then. Find a linear function in slope-intercept form that models this description. The function should model the percentage of residents, P(x), who regularly used the news outlet x years after 2000 P(x)= (Use integers or decimals for any numbers in the expression.)

Answers

Answer:

/.............................../././///////////////////////////////////////

Step-by-step explanation:

.

Which
graph shows a dilation?

Answers

The second one from the top shows a dilatation.

Please help me....trying to get my HS diploma, i did not graduate :(
A ball is thrown in air and it's height, h(t) in feet, at any time, t in seconds, is represented by the equation h(t)=−t2+7t. When is the ball higher than 10 feet off the ground?

Answers

Answer:

A.

Step-by-step explanation:

so, the equation is

h(t) = -t² + 7t

so, we need to find the solutions for t (the time when the ball is exactly 10 ft in the air). there had to be 2 solutions, as the ball first goes up passing the 10 ft height, and then comes back down again, passing the 10 ft mark a second time. and between these 2 times the ball is higher (but not equal, so, we can only use < or > as inequality signs) than 10 ft.

10 = -t² + 7t

-t² + 7t - 10 = 0

the generation solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -1

b = 7

c = -10

t = (-7 ± sqrt(7² - 4×-1×-10))/(2×-1) =

= (-7 ± sqrt(49 - 40))/-2 = (-7 ± sqrt(9))/-2

t1 = (-7 + 3)/-2 = -4/-2 = 2 seconds

t2 = (-7 - 3)/-2 = -10/-2 = 5 seconds

so, between 2 and 5 seconds airtime the ball is higher than 10 ft.

and remember : HIGHER THAN.

so, we cannot use any equality (like <= or >=).

t must be higher than 2 and lower than 5 :

2 < t < 5

(02.02 LC)

If h(x) = −2x − 10, find h(−4).

Group of answer choices

−2

−18

−3

−16

Answers

The value of the function h(-4) is (a) -2

How to determine the h(-4)?

The function is given as

h(x) = -2x - 10

When x = -4, we have:

h(-4) = -2 * -4 - 10

Evaluate the product

h(-4) = 8 - 10

Evaluate the difference

h(-4) = -2

Hence, the value of the function h(-4) is (a) -2

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Is the relationship between red sox away games and average daily revenues significant at the 95% confidence level? choose the correct answer with the corresponding correct reasoning.

Answers

Answer:

Yes, because the p-value of the independent variable is less than 0.05

Step-by-step explanation:

The relationship between Red Sox away games and average daily revenues significant at the 95% confidence level because the p-value ( X) < 0.05 , Option C is the correct answer.

What is Probability ?

Probability is the study of chances of an event to happen.

It has a range form 0 to 1 , where 0 indicates uncertainty while 1 indicates certainty.

The data is given and on the basis of it

It can be seen that for 95 % confidence Level

P value =0.0005

So , the relationship between Red Sox away games and average daily revenues significant at the 95% confidence level because the p-value of the independent variable is less than 0.05.

Therefore Option C is the correct answer.

The complete question is

Is the relationship between Red Sox away games and average daily revenues significant at the 95% confidence level? Choose the correct answer with the corresponding correct reasoning.

No, because R Square is less than 50%

Yes, because the slope is positive.

Yes, because the p-value of the intercept is less than 0.05

Yes, because the p-value of the intercept is less than 0.95

Yes, because the p-value of the independent variable is less than 0.05

Yes, because the p-value of the independent variable is less than 0.95

The data table is attached with the answer.

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x, 3x and 5x ,find the sum

Answers

x + 3x + 5x ( the variables are same you can add them immediately )

9x ( the answer is 9x for adding terms with the same variable just add the numbers and write the variable as itself)

HOPE IT HELPS

Answer: 9x

Step-by-step explanation:

As the variables are of same power (1) we can add it

x+3x+5x=9x

(1.5 x 10^8) + ( 2.06 x 10^8) =

Answers


(1.4x10^8) + (2.06x10^8)=

356,000,000

Answer:

356000000

Step-by-step explanation:

1. Simplify the expression

Calculate the expression inside the parentheses.

[tex](1.5*10^8)+(2.06*10^8)[/tex]

Simplify exponents and square roots

[tex](1.5*10^8)+(2.06*10^8)[/tex]

[tex](1.5*100000000)+(2.06*10^8)[/tex]

Perform any multiplication or division, from left to right:

[tex](1.5*100000000)+(2.06*10^8)\\[/tex]

[tex](150000000)+(2.06*10^8)[/tex]

Simplify exponents and square roots

[tex]150000000+(2.06*10^8)[/tex]

[tex]150000000+(2.06*100000000)[/tex]

Perform any multiplication or division, from left to right:

[tex]150000000+(2.06*100000000)[/tex]

[tex]150000000+(206000000)[/tex]

Calculate any addition or subtraction, from left to right.

[tex]150000000+206000000[/tex]

[tex]356000000[/tex]

Why learn this

Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your maths studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!

Terms and topics

Order of operations

Two cars leave town at the same time one travels West at 56 miles per hour and the other travel south at 42 miles per hour after 1 hour how far apart are the cars

Answers

The answer is C.



distance = speed * time. So, you want
√(56^2 + 42^2)
or, if you recognize this as just a 3-4-5 right triangle scaled up by 14, the 14*5 = 70

On a coordinate plane, a line goes through (negative 4, 0) and (0, 2). The graph of the equation y = 12 x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply. y = 7x + 2 y = 3x + 5 y = 2 minus StartFraction 7 Over 3 EndFraction x y – 2 = 4x 3y = –9x – 6

Answers

The equation of line which would intersect be

y = 7x + 2 y = 2- 7/3x y-2 = 4xWhat is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

y = 12 x + 2

and, a line passes through (-4, 0) and (0, 2)

Equation of line

y = -1/2 (x+ 4)

y= -x/2 - 2

The equations which would intersect the line will be

y = 7x + 2 y = 2- 7/3xy-2 = 4x

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Scientists want to test a new pair of running shoes. A speed test is performed with two separate groups of participants. The treatment group will wear the new pair of running shoes, while the control group will not. It is believed that age and height may affect speed. Which of the following would be most effective in controlling the confounding variables, such as age and height, in this study?

Answers

The most effective in controlling the confounding variables is matched pairs design.

What is a matched pair design experiment?

A matched pairs design is when participants are matched based on shared characteristics that is of importance to the experiment. One member of the pair is put in the control group while the other is put in the experimental group.

Here are the options:

A completely randomized design experiment

A longitudinal observational study

A retrospective observational study

A matched-pair design experiment

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A baker purchased 13 lb of wheat flour and 14 lb of rye flour for a total cost of $14.85. A second purchase, at the same prices, included 15 lb of wheat flour and 12 lb of rye flour. The cost of the second purchase was $14.85. Find the cost per pound of the wheat flour and of the rye flour.

Answers

An equation is formed when two equal expressions. The cost per pound of wheat flour is $0.55 and the cost of per pound of rye flour is $0.55.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the cost of a pound of wheat flour be x and the cost of a pound of rye flour be y.

A baker purchased 13 lb of wheat flour and 14 lb of rye flour for a total cost of $14.85.

13x + 14y = $14.85

x = (14.85-14y)/13

A second purchase, at the same prices, included 15 lb of wheat flour and 12 lb of rye flour.

15x + 12y = $14.85

Substitute the value of x from the above equation and solve for y,

[tex]\dfrac{15(14.85-14y)}{13} + 12y = 14.85\\\\222.75-210y+156y = 193.05\\\\y = 0.55[/tex]

Substitute the value of y in any one of the equations formed,

13x + 14(0.55) = 14.85

13x = 7.15

x = 0.55

Hence, the cost per pound of wheat flour is $0.55 and the cost of per pound of rye flour is $0.55.

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How many significant figures does 119.3 have

Answers

4, every real number is significant, unless it is a zero after the decimal. If there are zeros before the decimal they count example : 1500.
Not example 155.000

solving 3 x plus 8 equals 14

Answers

Answer x= 2
3x + 8 = 14
To solve subtract 8 from both sides to isolate x
3x = 6
Now divide both sides by 3 to solve for x
X = 2

3x + 8 = 14, this would equal 2, 3(2) = 6, 6 + 8 = 14, therefore the answer is x = 2.

What is the sum of the first 20 terms of the arithmetic sequence 3,9,15,21,27

Answers

Answer: 6

Step-by-step explanation: 3 + 6 = 9,  9 + 6 = 15,  15 + 6 = 21,  21 + 6 = 27

Suppose 4y – 1 = 15 and y = 5x – 3.

Which of the following equations is equivalent to 4y – 1 = 15, but written only in terms of x?

Answers

The equivalent equation of 4y – 1 = 15 is 20x - 13 = 15

How to determine the equivalent equation?

The equations are given as:

4y – 1 = 15 and y = 5x – 3.

Substitute y = 5x – 3. in 4y – 1 = 15

4(5x – 3) – 1 = 15

Expand

20x- 12 - 1 = 15

Evaluate the like terms

20x - 13 = 15

Hence, the equivalent equation of 4y – 1 = 15 is 20x - 13 = 15

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A box contains 162 marbles which are either red or blue. There are 42 more blue marbles than red marbles. How many blue marbles are in the box? Blue marbles=

Answers

The number of the blue marbles are in the box will be 102.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

A box contains 162 marbles which are either red (r) or blue (b).

r + b = 162 ...1

There are 42 more blue marbles than red marbles.

b = r + 42 ...2

Then from equation 1 and 2, we have

r + r + 42 = 162

           2r = 120

             r = 60

Then the number of blue marble will be

b = 60 + 42

b = 102

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Select the correct answer.
What is the solution to this equation?
(z
(x + 6) - 5 = -2
OA.
OB. 7
OC. 21
OD. -139

Answers

Answer:

-3

Step-by-step explanation:

Equation: (x + 6) - 5 = -2

we want to isolate x

(x + 6) - 5 = -2              

          + 5    + 5      (add 5 to start getting x on its own)

x + 6 = 3                

  - 6      - 6                 (subtract 6 to isolate x)

x = -3

so, this answer was not provided, but is the correct answer.

The solution to this equation is -3,

so, the correct answer is: -3.

Here, we have,

given that,

Equation is:

(x + 6) - 5 = -2

we want to isolate x

(add 5 to start getting x on its own)

(x + 6) - 5+ 5 = -2 + 5                          

(subtract 6 to isolate x)

x + 6 - 6 = 3   - 6              

so, we get,                  

x = -3

so, the solution to this equation is -3,

so, the correct answer is: -3.

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Kate is the captain of a large cruise ship. As she

drives the ship, she sits 50 meters above the sea.

Paul is the captain of a boat. He sits 15 meters

above the sea. If the radius of the earth is

6,371,000 meters, how much further can Kate see

across the horizon than Paul?



here are the first few questions the rest are in the picture.


1.Show me that you understand the problem. restate it in your own words and identify the important information.


2. what is your prior knowledge and what tools do you have to solve this problem?

a. Draw two diagrams, one for Kate and one for Paul. Include important numbers. Insert your diagrams into your answer.

Answers

The amount further by which Kate can see across the horizon than Paul is; 3.33 times farther

How to use volume of a cone in applications?

Formula for volume of a cone is;

V = ¹/₃πr²h

For Kate:

Height (h) = 50 m

Radius (r) = 6,371,000 m

Thus;

V = ¹/₃ * π * (6,371,000)² * 50

V = 2.12526863 × 10¹⁵ m³

To determine how much further can kate see across the horizon than Paul, we have:

⇒ (2.12526863 × 10¹⁵ m³)/6.3758059 × 10¹⁴ m³

= 3.33 times further.

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Over the past five years, an analyst records the annual returns (in percent) for a mutual fund as: 13, −2, 3, 18, and −14. Construct the 95% confidence interval for μ.

Answers

The required confidence interval for μ is (-12.07, 19.27 )

Annual returns (in percent) for a mutual fund as: 13, −2, 3, 18, and −14
95%
Confidence interval

What is Statistic?

The statistic is the study of mathematics which deal with relations between comprehensive data.

Mean(x) = 13-2+3+18-14/5
x = 3.6

Standard deviation = [tex]\sqrt{\frac{\sum(x_i- x)^2}{n-1} }[/tex]
S = 12.6214


Point estimate  of (μ) = 3.6


Confidence interval = mean (+,-) Tc x S/√5
                              = 3.6 (+,-) 2.7764 x 12.62/√5
                              =3.6 (+,-) 15.671
                              = (-12.07, 19.27)

Thus, the required confidence interval for μ is (-12.07, 19.27 ).

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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is four
times the measure of the first angle. The third angle is 12 more than the second. Let x, y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

Answer:

x = 36°

y = 66°

z = 78°

Step-by-step explanation:

General outline:Setup equations for each sentenceSolve the resulting system

Setup equations:

Allowing the first angle to be x, the second to be y, and the third to be z, the three sentences describing the relationships between angle measures are given below:

Eq1:  x + y + z = 180°Eq2:  y + z = 4xEq3:  z = y + 12°

Solve the system

Substituting equation 3, into equations 1 and 2

Eq1:  x + y + z = 180°

x + y + (y+12°) = 180°

x + 2y + 12° = 180°

x + 2y = 168°

x = 168° - 2y

Eq2:  y + z = 4x

substituting the result from equation 1, and Equation 3...

y + (y+12°) = 4*(168° - 2y)

2y + 12° = 672° - 8y

10y = 660°

y = 66°

Substituting back into Equation 3...

Eq3:  z = y + 12°

z = (66°) + 12°

z = 78°

Substituting both y, and z into Equation 1...

x + y + z = 180°

x + (66°) + (78°) = 180°

x + 144° = 180°

x = 36°

So, the three angle measures are:

x = 36°

y = 66°

z = 78°

Verification

"The sum of the measures of the angles of a triangle is 180."

x + y + z = 180°

36° + 66° + 78° = 180°

True

"The sum of the measures of the second and third angles is four times the measure of the first angle"

y + z = 4x

66° + 78° = 4*(36°)

144° = 144°

True

"The third angle is 12 more than the second"

z = y + 12°

78° = 66° + 12°

True

Solve linear equations using substitution y=-4x
y=4x+16

Answers

Answer:

(-2 , 8)

Step-by-step explanation:

[tex]\begin{cases}y=-4x&\\ y=4x+16&\end{cases}[/tex]

We substitute y by -4x in the second equation of the system:

-4x = 4x + 16

⇔ -8x = 16

⇔ x = 16/(-8)

⇔ x = -2

Now ,we substitute x by -2 in the first equation of the system:

y = -4 × (-2) = 8

then

the solution of the system is {(x = -2 , y = 8)}

The boxed definition of absolute value states that |a|=-a if a is a negative number. Explain why |a| is always nonnegative, even though |a|=-a for negative values of a.

Answers

Final answer:

Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.

Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.

Step-by-step explanation:

Step 1

It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.

Step 2

This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.

The height of a triangle is 4 m less than its base. The area of the triangle is 48 m². What is the length of the base? Enter your answer in the box.

Answers

The length of the base of the triangle is 12m

Area of a triangle

The formula for calculating the area of a triangle is expressed as:

A = 0.5 * base * height

If the height of a triangle is 4 m less than its base, then;

h = b - 4

Substitute

A = 0.5(b)(b-4)

48 = 0.5b²-2b

b²-4b - 96 = 0

Factorise

b² - 12b + 8b - 96 = 0

b(b-12)+8()b-12) = 0
b - 12 = 0

b = 12

Hence the length of the base of the triangle is 12m

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The sum of two numbers is 32. One number is 3 times as large as the other. What are the numbers?

Answers

Answer:

Let the greater number be x and the smaller number be y

A.T.Q,

x+y=32 ...(1)

x=3y ...(2)

putting the value of x from (2) in (1)

(3y)+y=32

4y=32

y= 32/4=8

x=3y

x=3(8)=24

x=24 , y=8

What is a possible value for the missing term of the geometric sequence? 25,_,874,…

Answers

Answer:

The middle term is 5√874

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

Given sequence

25, x, 874, ...

To find

The missing term x

Solution

Since the given is the GP, find the common ratio in terms of given values:

r = x/25r = 874/x

Equate the two values and solve for x to find the missing term:

x/ 25 = 874/xx² = 874*25x² = 21850x = √21850x = 5√874

Dont Really need explanation Simply answer

Answers

Considering the given graph, the profit during the period was of -2 dollars.

How to add negative numbers along with positive?

We add all the negative numbers, all the positive numbers, then keep the signal of the higher absolute value, and subtract the values.

From the graph, we have that:

The sum of the negative numbers is of 8.The sum of the positive numbers is of 2 + 4 = 6.

8 > 6, hence the profit is negative given by:

-(8 - 6) = -2 dollars.

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Choose the number sentence that applies the commutative property to the example.

3 × 4 = 12

6 + 6 = 12
12 × 1 = 12
6 × 2 = 12
4 × 3 = 12

Answers

the answer is 4 x 3 = 12
commutative property in multiplication is
a•b = b•a

Help me please T^T

Solve for m.
m+1/3<-2 1/4

Answers

Answer:

answer is the second option  m<-2 7/12

Step-by-step explanation:

process:

convert -2 1/4 into an improper fraction

m+1/3 < -9/4

m <-9/4 -1/3

calculate the difference

m<-31/12

turn into a mixed fraction

The following stem-and-leaf plot represents the test scores for
26 students in a class on their most recent test. Use the data provided to find the quartiles.
Stem
Leaves
6 0 1 2 2 4 7 8
7 0 1 2 5 8
8 3 6 6 7 9 9
9 0 1 2 2 2 4 5 8
Key:
6|0=60

To find the second quartile, we must first divide the data in half. There are an even number of data values, so the 50th percentile, or median, is the arithmetic mean of the two values in the middle of the set. Thus, the median is the mean of the 13th data value,
83 and the 14th data value, 86
83+86/2=84.5
Therefore, the second quartile is 84.5
Step 2 of 3 : Find the first quartile.

Answers

Considering the given stem-and-leaf plot, the quartiles are given as follows:

The first quartile is of 67.5.The second quartile, which is the median, is of 84.5.The third quartile is of 91.5.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.

There is an even number of elements(26), hence the median is the mean of the 13th and 14th elements, which are 83 and 86, hence:

Me = (83 + 86)/2 = 84.5.

The first half has 12 elements, hence the first quartile is the mean of the 6th and 7th elements, which are 67 and 68, hence:

Q1 = (67 + 68)/2 = 67.5.

The third half also has 12 elements, starting at the second 86, hence the third quartile is the mean of the 6th and 7th elements of this half, hence:

Q3 = (91 + 92)/2 = 91.5.

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graph y(t) = 13.5t - 4.9t^2

Answers

Answer:

here

Step-by-step explanation:

Other Questions
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