Use interval notation to express the following: The set of all numbers less than or equal to −5.

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Answer:

Average: a calculated "central" value of a set of numbers

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How to find it in the average:

Add all of the numbers given, then divide by the number of digits.

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Example:

Question 1. ) Find the average of the digits.

10, 12, 7, 9, 14, 8, 5, 19

Step 1. Add all of the numbers - 70

Step 2. Count how many different numbers there are - 8

Step 3. Take your first answer and your second and divide them

Step 4. 70 ÷ 8 = 8.75 So 8.75 would be the average

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Answer:

38 inch

Step-by-step explanation:

First Part

Given that

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

We have that

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{Diameter}{2})^{3} = \frac{4}{3} \pi 9^{3} = 972\pi cm^{3} \approx 3053.63 cm^{3}[/tex]

Second Part

Given that

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

If the Diameter were reduced by half we have that

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{r}{2}) ^{3} = \frac{\frac{4}{3} \pi r^{3}}{8}[/tex]

This shows that the volume would be [tex]\frac{1}{8}[/tex] of its original volume

First Part

Gather Information

[tex]Diameter = 18cm[/tex]

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

Calculate Radius from Diameter

[tex]Radius = \frac{Diameter}{2} = \frac{18}{2} = 9[/tex]

Use the Radius on the Volume formula

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 9^{3}[/tex]

Before starting any calculation, we try to simplify everything we can by expanding the exponent and then factoring one of the 9s

[tex]Volume = \frac{4}{3} \pi 9^{3} = \frac{4}{3} \pi 9 * 9 * 9 = \frac{4}{3} \pi 9 * 9 * 3 * 3[/tex]

We can see now that one of the 3s can be already divided by the 3 in the denominator

[tex]Volume = \frac{4}{3} \pi 9 * 9 * 3 * 3 = 4 \pi 9 * 9 * 3[/tex]

Finally, since we can't simplify anymore we just calculate it's volume

[tex]Volume = 4 \pi 9 * 9 * 3 = 12 \pi * 9 * 9 = 12 * 81 \pi = 972 \pi cm^{3}[/tex]

[tex]Volume \approx 3053.63 cm^{3}[/tex]

Second Part

Understanding how the Diameter reduced by half would change the Radius

[tex]Radius =\frac{Diameter}{2}\\\\If \\\\Diameter = \frac{Diameter}{2}\\\\Then\\\\Radius = \frac{\frac{Diameter}{2} }{2} = \frac{\frac{Diameter}{2}}{\frac{2}{1}} = \frac{Diameter}{2} * \frac{1}{2} = \frac{Diameter}{4}[/tex]

Understanding how the Radius now changes the Volume

[tex]Volume = \frac{4}{3}\pi r^{3}[/tex]

With the original Diameter, we have that

[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{2}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{2^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{2 * 2 * 2} = \frac{4}{3}\pi \frac{Diameter^{3}}{8}\\\\[/tex]

If the Diameter were reduced by half, we have that

[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{4}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{4^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 4 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 2 * 2 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{8 * 8} = \frac{\frac{4}{3}\pi\frac{Diameter^{3}}{8}}{8}[/tex]

But we can see that the numerator is exactly the original Volume!

This shows us that the Volume would be  [tex]\frac{1}{8}[/tex] of the original Volume if the Diameter were reduced by half.

Hey there!

This grocer is mixing two kinds of coffee. I always love the smell of coffee!

We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.

Altogether there are 24 pounds of coffee he is selling.

The algebraic equation would be x + y = 24

At $1.30 per pound, he will make 24 * $1.30 = $31.2

So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?

The algebraic equation would be 1.15x + 2.75y = 31.2

We now have two equations :

x+y = 24

1.15x + 2.75y = 31.2

Substituting x= 24 -y in the second equation gives us

1.15(24-y) + 2.75y = 31.2

27.6 - 1.15y + 2.75y = 31.2

27.6 + 1.6y = 31.2

1.6y = 31.2 - 27.6

0.3y= 3.6

y= 2.25

x + y = 24

x + 2.25 = 24

x = 24 -2.25

x = 21.75

If y=2.25, then x= 21.75 as well.

So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.

~Done~

Answer:

7(3/bc)c

Step-by-step explanation:

3/bc+c+7

(3/bc)c+7

7(3/bc)c

Answer: 48

Step-by-step explanation:

The required  linear equation in the form p = mn + b is y = -0.009n + 20

The formula for calculating the linear form of a function is expressed as:

y = mx + b

From the given question

The price and number of shirts can be written in the form (n, p)

The two coordinates required are (1000, 11) and (2000, 2)

Slope  = 2-11/2000-1000
Slope = -9/1000
Slope = -0.009

For the intercept "b"

2 = -0.009(2000) + b

b = 20

The required  linear equation in the form p = mn + b is y = -0.009n + 20

Learn more on linear function here: https://brainly.com/question/15602982

Answer:

option b

Step-by-step explanation:

It is option b

Your answer is 4(x+1)²

Answer:

B

Step-by-step explanation:

Given functions:

[tex](f \circ g)(x) & =f[g(x)][/tex]

This means substitute the x of f(x) with the function g(x).

[tex]\implies f[g(x)]=4(x+1)^2[/tex]

Answer: 3/8

Step-by-step explanation: 6/8 x 2/4 = 3/8

The fraction of attendees of legal age who are women are 3/8

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have in a stadium, 6/8 of the attendees are older and of these 2/4 are women.

The fraction of attendees of legal age who are women are -

2/4 of 6/8

2/4 x 6/8

12/32

3/8

Therefore, the fraction of attendees of legal age who are women are 3/8

To solve more questions on equation modelling, visit the link below-

brainly.com/question/9144182

#SPJ2

English translation of question -

In a stadium, 6/8 of the attendees are older and of these 2/4 are women, what fraction of the attendees of legal age are women?

Spanish translation of answer -

Tenemos en un estadio, 6/8 de los asistentes son mayores y de estos 2/4 son mujeres.

La fracción de asistentes mayores de edad que son mujeres son:

2/4 de 6/8

2/4 x 6/8

32/12

3/8

Por tanto, la fracción de asistentes mayores de edad que son mujeres son 3/8

Answer:

  7/3

Step-by-step explanation:

To write the ratio with no units. we need to have both parts of the ratio in the same units. That way the units cancel.

__

  6 weeks : 18 days = (6×7) days : (6×3) days = 7 : 3

The ratio as a fraction is ...

  (6 weeks)/(18 days) = 7/3

There are six ways in which the word FOOT may be spelt starting at any letter.

The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.

There are four letters in FOOT and one letter is repeated twice therefore;

4C2 = 4!/(4-2)! 2!

4C2 = 4 * 3 * 2!/2! * 2 *  1

4C2 = 12/2

4C2 = 6

Learn more about combination: https://brainly.com/question/25351212

Answer:

12 because it is a common factor of the denominators

Answer:

178

Step-by-step explanation:

Answer:

g(x)=3x--2

Step-by-step explanation:

please mark me as brainlest

Hello, it seems your questions didn't upload correctly. Are you able to resend it?

For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.

Bias is an error due to sampling or testing by selecting or preferring one outcome over others.

Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. This shows that Leo is bias.

For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.

Find out more on bias at: https://brainly.com/question/24491228

Answer:

His conclusion is not valid. 

He should have put both tarps over the area of the yard that receives full sunlight. So that the experiment can be valid.

Step-by-step explanation:

Answer:

529.000

Step-by-step explanation:

A decimal number is a number whose whole number and fraction part are separated by a decimal point.

529 represented as a decimal is 529.000

Also, you can add as many zeros as you want behind the decimal point.

Please pick as brainliest!

Answer:

is f(2)=13 this is the answer because You have to división ir multiplicar ir

Answer:

f(2)=30

Step-by-step explanation:

Khan <3

Answer:

15.6

Step-by-step explanation:

complementary angles sum up to 90

90-74.4=15.6

therefore the measure of it's complementary angle is 15.6

Answer:

Step-by-step explanation:

We see the segment of length of 3 is divided by 3 and each of units divided by 4.

The number of purple rectangles is 12.

This can be expressed as:

The other options are not matching this model. They all end up with part of the line segment.

Three of them result in 3/4 and one results in 4.

Answer:

D. (-3, 0) (3, 0)

Step-by-step explanation:

An x-intercept is means when the line/shape crosses the x axis, or when y=0

So in this case, we can see that the shape crosses the x axis when

x = -3 and 3

So to put it in coordinate form (x, y)

It is: (-3, 0) and (3, 0)

(Whenever it crosses the x-axis, the y coordinate will always be 0)

Answer:

Can you use a specific question please

Step-by-step explanation:

Answer: = 17 7/

Step-by-step explanation:

8 1/5 + 9 1/2 = 177/

10

= 17 7/

Answer:

Step-by-step explanation:

Answer:

Based on the argument behind the correctness of the assumption is impossible, so we rule that the assumption is correct, now is the answer

The second answer from above

Answer : B

Explanation :

f - 3 and one third = 1 and two thirds goes with the word problem.

Answer: B

f - 3 and one third = 1 and two thirds

Answer:

Find the circumference,

C = 2πr

Where 'π' is pi (3.14 or 22/70, and 'r' is the radius.

To find the radius of a diameter, you must the half of the diameter:

Diameter/2 = radius

6/2 = 3 is the radius.

Plug this into our formula;

C = 2πr

C = 2 x 3.14 x 3

C = 6.28 x 3

C = 18.84 feet.

Answer:

17.7

Step-by-step explanation:

62.7-45=

17.7

yeah sculpting bears are hard

The range of a dataset is the distance between the maximum value and the minimum value. The range is found by subtracting the minimum value from the maximum value: maximum - minimum = range.

Maximum value of this dataset = 20.4

Minimum value of this dataset = 10.1

20.4 - 10.1 = 10.3

Range = 10.3

Hope this helps!

Answer:

10.3

Step-by-step explanation:

Given set of values

Maximum value

Minimum value

Range