Write the function represented by the table in f (x) = a • b ^x form.

We have that the population standard deviation and  confidence interval is mathematically given as

SD=1

W = 2.8284

a) Generally, normal distribution 95% of the values lies within 2 standard deviations from the mean.

Therefore, we have here:

2*2SD = 51 - 47

2*2SD

SD=1

Hence, the standard deviation is

SD=1

b)

Where,the margin of error is inversely proportional to the square root of sample size.

1 / sqrt{2}

Hence, the new width is

1 / sqrt{2}[tex]1 \ sqrt{2}[/tex]

W = 2.8284

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Answer:

Step-by-step explanation:

Answer:

the first one is  x=20. the second one is x=31.33 cm.

Step-by-step explanation:

1. x=20

2. x=31.33 cm

Hope this helps!!! :)

Answer: music is how we move on we can clean up why music is playing music is part of our hearts it can help keep calm to our hearts other people hearts to other people listen to other music, people and dogs, cats and other animals listen to music to they dance, most importantly they can help you sing and learn dance moves and other stuff people like dancing and sing to the music and they love other music that can keep them calm, even have music in gyms, stores, malls, and other places music is a part of our lives and no one can stop us from playing except for the government. The government can see if we playing music so watch out but music is a part  of our lives so please dont take the music down

branliest please iv been typing this for half an hour

The presentation defends the value of music by highlighting its roles, financial benefits, academic and emotional advantages, and potential consequences of a music ban.

Presentation: Defending the Value of Music

Introduction:

- Address to the President regarding the importance of reconsidering the ban on music.

Role of Music:

1. Artistic Expression:

  - Music as a powerful means of artistic expression, reflecting diverse emotions and cultures.

  - Enables individuals to convey feelings and thoughts that words alone cannot express.

2. Universal Language:

  - Music transcends language barriers, connecting people from different backgrounds.

  - Promotes understanding, unity, and global harmony.

3. Emotional Solace:

  - Music's therapeutic effect on mental well-being, reducing stress and anxiety.

  - Offers a way to cope with life's challenges and connect with our emotions.

Financial Benefits of Concerts:

- Concert attendance stimulates local economies:

  - Boosts revenue for local businesses, such as restaurants, hotels, and shops.

  - Increases tourism, leading to job creation and economic growth.

Academic and Emotional Benefits:

- Academic Advantages:

  - Studies show music enhances cognitive skills, improving memory, problem-solving, and creativity.

  - Supports learning in subjects beyond music.

- Emotional Benefits:

  - Music as a source of comfort during difficult times.

  - Fosters emotional intelligence, empathy, and self-expression.

Scenarios Without Music:

1. Social Gatherings:

  - Without music, celebrations lack vibrancy and energy.

  - Diminished cultural and social interactions at gatherings.

2. Education System:

  - Music contributes to a well-rounded education, fostering creativity and discipline.

  - Absence of music results in a less dynamic and engaging learning environment.

Conclusion:

- Urgent call to reconsider the ban on music:

  - Acknowledge music's integral role in human life.

  - Preserve its positive impact on society, economy, education, and emotional well-being.

Closing Remarks:

- Thank the President for considering the importance of music to humankind's holistic development.

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Answer:

The solution to the system of equations would be if the number of imports and exports are the same. In this case, the solution is January because the number of imports and exports are both 3.

Step-by-step explanation:

I’m smart

Answer:

The answer is 10 square root of 3

Step-by-step explanation:

Hope this helps!

Answer:

The answer is 42

Step-by-step explanation:

PEMDAS=
parenthesis, exponents, multiplication, division, addition, subtraction.

Answer:

The answer is 42

PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction

Answer:

a = 1

b = 5

⇒ f(x) = x + 5

Step-by-step explanation:

Given

Therefore,

f(1) = 6    ⇒   a + b = 6

f(-2) = 3   ⇒   -2a + b = 3

Rewrite a + b = 6 to make a the subject, substitute into  -2a + b = 3  and solve for b:

a = 6 - b

⇒ -2(6 - b) + b = 3

⇒ -12 + 2b + b = 3

⇒ -12 + 3b = 3

⇒  3b = 15

⇒  b = 5

Substitute found value for b into  a + b = 6  and solve for a:

⇒ a + 5 = 6

⇒ a = 1

Therefore, f(x) = x + 5

Answer:

8p+2 3p-15-2  

                                                                                                         5->-17  

                                                                                                                  p>-17/15

Step-by-step explanation:

Answer:

just look at picture

Step-by-step explanation:

Hope this helps :)

Answer:

Hello there, hope it's help !! :)

To divide a multiple of 10:

Find a division fact to start with

Look at the remaining zeros

Subtract the number of remaining zeros in the divisor from the number of remaining zeros in the dividend

-

Answer:

x ≥ 3

Step-by-step explanation:

Solve for x by dividing both sides by -7. When dividing by a negative, you have to flip the inequality.

-7x ≤ -21

-7x/-7 ≤ -21/-7

x ≥ 3

Since it is greater than or equal to, put a closed circle over 3 with the arrow going right -------->

Answer:

(B) 18 cm x 8 cm

Step-by-step explanation:

let the length be x,

then the width is [tex]\frac{1}{3}[/tex]x + 2

2( [tex]\frac{1}{3}[/tex]x + 2 + x ) = 52

[tex]\frac{1}{3}[/tex]x + 2 + x  = 26

[tex]\frac{4}{3} x[/tex] = 24

x = (24*3)/4

x = 18

then the length is 18 cm

and width is (1/3)*18 + 2 = 8

Therefore the dimensions are length:width = 18 cm : 8 cm

Answer:

(B) 18cm x 8cm

Step-by-step explanation:

Perimeter of a rectangle  =  52 cm

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length

width  =  (x/3) + 2

x + (x/3) + 2  =  26

[(3x + x)/3]  + 2 =  26

4x / 3  =  24

4x  =  24 (3)

x  =  6(3) ==>  18 cm

Width  =  (18/3) + 2

=  6 + 2  =  8 cm

So, the required dimension is 18 cm x 8 cm.

The scale factor from shape A to shape B is 0.75 with w = 5.25 cm.

The size by which the shape is enlarged or reduced is called as its scale factor.

Scale factor from shape A to shape B = [tex]\frac{3}{4}[/tex] = 0.75

It can be calculated by dividing the length of one side of the polygon to the corresponding side of the similar polygon. Keep the length of the side of the original figure in denominator and length of the side of the transformed figure in the numerator.

Calculating w.

[tex]\frac{w}{7} = 0.75\\\\w = 7 * 0.75 = 5.25[/tex]

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Answer: 113 ez

Step-by-step explanation: back in my day i used to calculate sum shots

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

Answer:

x = -21/23 or 0.913 (rounded to the nearest thousandth)

Step-by-step explanation:

Step 1: Add 2/5 to both sides

    1. -1/5x - 2/5 + 2/5 = 4/3x + 1 + 2/5

    2. -1/5x = 7/5 + 4/3x

Step 2: Subtract 4/3x from both sides

    1. -1/5x - 4/3x = 7/5 + 4/3x - 4/4x

    2. -23/15x = 7/5

Step 3: Multiply both sides by 15

    1. (15)-23/15x = 7/5(15)

    2. -23x = 21

Step 4: Divide both sides by -23

    1. -23x/-23 = 21/-23

    2. x = -21/23 or 0.913 (rounded to the nearest thousandth)

Answer:

x = 6

y = 7

z = 23

Step-by-step explanation:

ÀC = z + 7

30 = z + 7

30 - 7 = z

z = 23

2x - 3 = 5x - 21

21 - 3 = 5x -2x

18 = 3x

x = 18÷3

x = 6

4x + 1 = 3y + 4

4(6) + 1 = 3y + 4

25 = 3y + 4

3y = 25 - 4

y = 21 ÷ 3

y = 7

please mark as brainliest i appreciate so much

Answer:

Multiply 4 x 2 and the add the P in the front like this:

P = 8

HOPE IT HELPS, BE SAFE :3

Answer:

256

Step-by-step explanation:

Since p = 8

4(8)^2

[RevyBreeze]

Answer:

15

Step-by-step explanation:

15

1 5/8 divided 1/3

first change 1 5/8 into a improper fraction which is 40/8

40/8 divided by 1/3
Keep Change Flip
40/8 divided by 3/1
40/8 x 3/1 = 120/8 simplify by 4 then you get 30/2 simplify again and you get 15/1 which is 15
i hope this is right

Answer:

4 and 7/8 (or as a decimal: 4.875)

Step-by-step explanation:

(Important:) Okay, so before we solve this problem we need to know the "dividing fraction rules." When you are dividing fractions, you need to remember that the second fraction is flipped and the sign goes from being a division symbol to being a multiplication symbol. It may sound confusing, but I'll explain as we go on.

First, let's turn that 1 and 5/8 into an improper fraction so that this is easier to solve. Multiply the denominator by the whole number, then add the numerator. Keep the same denominator (8 in 1 and 5/8), but place your new numerator on top instead.

1 and 5/8 = 13/8.

Now we can go through the steps of the dividing process. Flip the second fraction in the equation. Doing this changes the symbol to a multiplication symbol.

13  x  3

8  x   1

Now multiply across.

13 x 3 = 39

8 x  1 =  8

This question does not ask for an improper fraction, so let's reduce this fraction down to a mixed number and decimal.

Mixed number: 39/8 = 4 and 7/8.

Decimal: 4.875.

I hope that this helps.

Answer:

A: Randomly select 10 freshmen from each of the majors at the university.

Step-by-step explanation:

This is because stratified random sampling is taking a population and dividing them into subpopulations. So, majors would be the best way to divide up college freshmen into different subsections to survey them about their workloads because each major would have a different answer and result.

The techniques to give a stratified random sample would be A: Randomly select 10 freshmen from each of the majors at the university.

If the sampling is done from the population randomly, without any other rule, then such sampling is called simple random sampling. Items are selected in a fixed size, all randomly.

The best sampling is simple random sampling, as it is randomly picking data values from the population.

Stratified random sampling it is taking a population and dividing them into subpopulations.

The majors would be the best way to divide up college freshmen into different subsections to survey them about their workloads because each major would have a different result.

The techniques to give a stratified random sample would be A: Randomly select 10 freshmen from each of the majors at the university.

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Answer:

32

Step-by-step explanation:

Let's say n such books make up the stack.

If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.

==> number of books × 3/4 = 24

(to get this result add the heights of n such book, and equate it to 24. You'll get something like:

3/4 + 3/4 +. . . . n times = 24

And that's what's meant by 3/4 × n = 24)

==> n × 3/4 = 24

multiply both sides by 4

==> n × 3 = 24 × 4

divide both sides by 3

==> n = (24 × 4)/3

==> n = 8 × 4

==> n = 32

We assumed the number of books to be n.

so the answer is:

32 books, each if height 3/4 inch, are required to build a stack 24 inches high.

Answer:

hundreds

Step-by-step explanation:

It is the third digit from right which is 100

Another example say 700 what is the value of the 7=hundreds because it it 3rd digit from right

Hope it helps :)

Answer:

15

Step-by-step explanation:

3/3 = 45

2/3 = ?

3/3 - 2/3 = 1/3

1/3 * 45 = 15

Answer:

30

Step-by-step explanation:

45/3=15

15x2=30