A group of 15 students were assigned a novel to read during class. The data below represents the number of pages each student read.8, 8, 10, 11, 12, 12, 13, 14, 16, 16, 18, 18, 18, 20, 24Which of the following box plots correctly summarizes the data?

Answer:

x = 29

Step-by-step explanation:

Not sure if they meant actually 61 different numbers or just 2 numbers to make up 61, but I determined that -29 and 29 make up 61 because a negative plus a positive is always positive.

Answer:

22 students are women.

Step-by-step explanation:

because when the number of students in total is 30 and 8 students are men so the rest of the class are women 30-8=22

Answer:

47, 17

Step-by-step explanation:

Let the numbers be x and y. Then, x+y=64 and x-y=30. Adding these equations, we get 2x=94, and thus x=47.

It follows that y=17.

Answer:

Full height = present heightpercentage of full height at current age x 100. Q

hope it helps...

Answer:

(B+6)- 3

is it correct?

Answer:

1)5n: not balanced

2)1n: Balanced

4)8n: not balaned

Step-by-step explanation:

Answer: The value is not a solution the inequality 8-x>3; x=2

Step-by-step explanation:

8-x>3

-8    -8

----------

-x>-5

----------

-x    -x

x<5

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. The expression x3+7x+2 value is 24 when x=2. So option A is correct.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

The given expression is x^3+7x+2

Now we have to plug in x value as 2

=(2)^3+7*2+2

The value of 2^3 is 8 and 7*2 is 14

=8+14+2

Add 8, 14 and 2 to get the required solution.

=24

Therefore the expression x3+7x+2 value is 24 when x=2.

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Answer:

Step-by-step explanation:

c

they are both proportional

A. 6.5 apples but you can't buy half a apple so 6 Apples

B. 10 hours

+11, -11

The reason the answer is not 11 is not because you did the math wrong its because you gave the answer is just 11.

even when you square a negative number you multiply two negatives to make a positive so it would have to be -11 and +11.

This applies to whenever you square a number, the answer can always be two possibilities the positive and the negative.

An equation for the transformation of y = x vertical compression by a factor of 1/11 is; y = (1/11)x

Vertical compressions in transformations occur when a function is multiplied by a rational scale factor. This means that base of the function's graph would remain unchanged when a graph is compressed vertically because it is only the output values that will be affected.

Now, we are given the equation as; y = x

When it undergoes a vertical compression by a factor of 1/11, we can say that the new equation will be; y = (1/11)x

Thus, we conclude that an equation for the transformation of y=x

vertical compression by a factor of 1/11 is; y = (1/11)x

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According to the solving the simplest form of the given fraction is:

= [tex]$2 \frac{47}{70}$\\[/tex]

Simplified fractions are fractions in their simplest, smallest, and most basic form. The fraction's numerator and denominator are reduced to the point where the sole common element between them is 1. For example, 4/6, 8/12, 16/24, and so on are simplified fractions of 2/3.

the process of making anything less complicated and hence easier to do or understand, or the product of such a process: The organization provides advice on how to simplify trade procedures.

-10 2/7 divided (-4 4/11)

This can be written as:

= [tex]\frac{-10\frac{2}{7} }{-4\frac{4}{11} } \\[/tex]

On simplifying we get:

= 68/7 and 40/11

= [tex]\frac{68}{7} /\frac{40}{11}[/tex]

= [tex]$\frac{-68 \times 11}{7 \times-40}$[/tex]

= [tex]$\frac{-748}{-280}$[/tex]

dividing numerator and denominator by 4:

= [tex]$\frac{-748 \div 4}{-280 \div 4}$[/tex]

= [tex]$\frac{187}{70}$[/tex]

= [tex]$2 \frac{47}{70}$\\[/tex]

According to the solving the simplest form of the given fraction is:

= [tex]$2 \frac{47}{70}$\\[/tex]

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Population growth is exponential, growing by some multiple over time that is dictated by a rate. To find the population exponential growth formula, take this initial premise, the population multiplied by a rate, and equate it to the change in population with respect to time.

Number of bacteria present after 4 days will be 20.05 .

Given,

Initial population = 18

Growth rate = 2.74%

Here,

The exponential growth is given by ,

N = [tex]N_{0} (1 + r )^t[/tex]

N = population after time t

No = Initial population

r = growth rate

t = time

Here,

No = 18
t = 4 days

r =2.74% = 0.0274

Substitute the values in the formula ,

N = 18 [tex](1 + 0.0274)^{4}[/tex]

N = 20.05 .

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Answer:

y=2x-5

Step-by-step explanation:

you use m=y2-y1/x2-x1 which equals 2. So that's our slope. Then you do b=y1 -mx1 or yout could do the second point. This gives you b= 7-(2) x(6)=-5. That's how you get the y. Hope this helps!

Answer:

Step-by-step explanation:

A: Kilogram

B: Milliliters

C: 100 Kilometers

The student is incorrect as C. No, because 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins

It should be noted that some researchers claim there is an association between taking vitamins and gaining weight.

In this case, a student reading the results stated that more than half of the study participants are taking vitamins. This is incorrect.

It should be noted that 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins.

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Answer:

B. Yes, because 27.4% take one vitamin and 49.5% take more than one vitamin, which is a total of 76.9% taking vitamins.

Step-by-step explanation:

You must add the percentages of the subjects and took vitamins AND did NOT gain weight. The other answer only adds the percentages of those who took vitamins and gained weight. You're looking for the percentage of everyone who took vitamins, regardless of if they gained weight or not.

11.4% + 16% = 27.4% - Takes one vitamin per day
23.5% + 26% = 49.5% - Takes more than one vitamin per day

27.4% + 49.5% = 76.9%

Therefore the student is correct, since it is more than 50% of the participants.

The value of f (x -1) is;

f (x - 1) = x + 4

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Function f (x) = x + 5

Now,

Find the value of f (x - 1), we substitute the value x = x - 1;

f (x) = x + 5

f (x - 1) = (x - 1) + 5

f (x - 1) = x - 1 + 5

f (x - 1) = x + 4

Thus, The value of f (x -1) is;

f (x - 1) = x + 4

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Answer:

The answer is 2553=4400i

Step-by-step explanation:

One possible solution for the given system of equations is:

a = 85, b = 1, c = 1.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

In this problem, we have a system with:

Since the number of variables is greater than the number of equations, we have a free variable, that is, a variable for which we can attribute a value.

We will attribute c = 1, hence the system becomes:

Then one possible solution is a = 85 and b = 1, or vice-versa, as:

Hence one possible solution for the given system of equations is:

a = 85, b = 1, c = 1.

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The derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]

The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.

Given:

The given function is

[tex]h(x) = (4x^3 + 8x)(16-5x^5)[/tex]

According to given question we have

[tex]h(x) = (4x^3 + 8x)(16- 5x^{5} )[/tex]

[tex]h'(x)=\frac{d(4x^{3} +8x)(16-5x^{5}) }{dx} \\\\=\frac{d(64x^{3}+20x^{8} +128x-40x^{6}) }{dx} \\\\=192x^{2} +160x^{7} +128-240x^{5}[/tex]

Therefore, the derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]

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Answer: y = (w-3x) / 7

Step-by-step explanation:

w = 3x + 7y

7y + 3x = w

7y = w - 3x

y = (w-3x) / 7

The solution of the linear equation is x = -9

A linear equation is an equation in which the highest power of the unknown is one.

To solve a linear equation, we collect the like terms and them perform operations of addition, subtraction, multiplication and division to simplify the results and get the answer.

Since we have 8 - x = 26 + x

To solve the linear equation, we add + x to both sides. So,

8 - x + x = 26 + x + x

8 + 0 = 26 + 2x

8 = 26 + 2x

Next, we subtract 26 from both sides.

8 - 26 = 26 - 26 + 2x

-18 = 0 + 2x

-18 = 2x

Next, we divide both sides by 2. So, we have

2x = -18

x = -18/2

x = -9

So, the solution of the linear equation is x = -9

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Answer:

255

Step-by-step explanation:

Answer:

Cancer can upset the normal chemical balance in your body and increase your risk of serious complications.

Answer:

Cancer can grow into,or begin to push on near by organs , blood vessels,and nerves. This pressure causes some of the signs and symptoms like fever, extreme tiredness or weight loss. This may be because cancer cells use up much of the body's energy supply.

The liters of the 5% and the 40% solutions that she should mix to get the solution she needs are 5.7 liters and 4.3 liters respectively.

Let x be the of volume of the 40% solution, then the volume of 5% would be:

10 L = 40% solution volume+ 5% solution volume

10 L= x + 5% solution volume

5% solution volume = 10l-x

Then the volume calculation would be:

10 liter × 20% = x liter × 40% + (10- x) liter × 5% 10l * 20%

= x liter * 35% + 10 liter*5%

x liter *35

= 10l * 20 - 10l *5

= 10l*m × 15x liter

= 10l *15/35

= 4.28 L= 4.3L

The volume of 40% solution= 4.3L

The volume of 5% solution will be:

= 10L- 4.3L

= 5.7L

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The number of flour cups would be 20

and butter cups would be 10.

The explanation to this question this is

There are total 30 cups of pie crust made.

Now, 2

2:1 is the ratio given.

For flour cups

=  [tex]\frac{2}{3}[/tex] × 30

= 2 × 10

= 20

For butter cups

= [tex]\frac{1}{3}[/tex] × 30

= 1 × 10

= 10

So in total 30 cups of pie crust , there are 20 cups of flour and 10 cups of butter.

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.

Two amounts are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent." For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio.

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