can someone help me with this please?

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The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

Step 1: Find the mean (average) of the data set.

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

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Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

Answer:

x = 3

Step-by-step explanation:

Given the linear equation :

1/4(x-5)+4=1/3(2x+7)-5/6

(x-5)/4 + 4 = (2x+7)/3 - 5/6

Take the lcm and sum

(x-5+16)/4 = (4x+14-5)/6

(x+11)/4 = (4x+9)/6

Cross multiply

6(x+11) = 4(4x+9)

6x + 66 = 16x + 36

Collect like terms

6x - 16x = 36 - 66

-10x = - 30

x = 30/10

x = 3

Answer:

11x+5

Step-by-step explanation:

1/4(8x + 20) + 9x

Distribute

1/4 *8x + 1/4 * 20 +9x

2x+5+9x

Combine like terms

11x+5

Answer:

no solution

Step-by-step explanation:

2x - 2x - 24 = 0

2x - 2x = 24

0x = 24

0 = 24

Answer:

Option A

Step-by-step explanation:

       Pick any two points on the line.

       (3 , 0) ⇒ x₁ = 3 & y₁ = 0

        (0,-2) ⇒ x₂ = 0 & y₂ = -2

Find the slope using the formula,

      \(\boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}\)  

                   \(\sf =\dfrac{-2-0}{0-3}\\\\\\=\dfrac{-2}{-3}\\\\\\=\dfrac{2}{3}\)

      Slope-point form of a line: y - y₁ = m(x - x₁)

Substitute slope and the point in the above equation,

              \(y - 0 = \dfrac{2}{3}(x - 3)\\\\ ~~~~~~ y= \dfrac{2}{3}x-\dfrac{2}{3}*3\\\\\\~~~~~~\boxed{ y = \dfrac{2}{3}x-2}\)

This is in slope intercept form: y = mx + b.

Answer:

the answer is A. x+x+2x=36

Answer:

D.

Step-by-step explanation:

6a² = surface area for cube

6(5)² = 150

2\(\pi\)(r)(h)+2\(\pi\)r²  = surface area cylinder

2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi

150 + 20pi = 212.8318531

Answer:

PV= $40,279.36

Step-by-step explanation:

Giving the following information:

Number of periods= 8*12= 96 months

Interest rate= 0.039/12= 0.00325

Future value (PV)= $55,000

To calculate the initial investment, we need to use the following formula:

PV= FV/(1+i)^n

PV= 55,000 / (1.00325^96)

PV= $40,279.36

Answer:

what do you mean by land ?

The intensity of sound is proportional to the square of its amplitude.

Thus, if I9 and I8 are the intensities of sounds at 9 decibels and 8 decibels respectively, then:

I9/I8 = (10^(9/10))/(10^(8/10))

I9/I8 = 10^(0.1)

I9/I8 = 1.2589

Therefore, the relative intensity of 9 decibels is approximately 1.26 times higher than that of 8 decibels.

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

Answer:

b = 9.2 (Rounded to the nearest tenth)

Step-by-step explanation:

ABC is a right-angled triangle at B.

Then ,according to the Pythagorean theorem:

\(b = \sqrt{a^2 + c^2}\)

  \(= \sqrt{6^2 + 7^2}\)

 \(= \sqrt{36 + 49}\)

 \(= \sqrt{85}\)

 \(=9.219544457293\)

The angles on the diagram are vertical angles and the value of x is 25.

The two angles are said to be adjacent angles when they have a common vertex and side.

On the other hand, vertical angles are angles that are opposite of each other when two lines cross and they are conguent.

Therefore, the angles on the diagram are vertical angles.

Now, since vertical angles are congruent.

Angle 75 and angle (4x - 25 ) are equal.

Hence;

4x - 25 = 75

Solve for x

4x - 25 = 75

Add 25 to both sides

4x - 25 + 25 = 75 + 25

4x = 75 + 25

4x = 100

Divide both sides by 4

4x/4 = 100/4

x = 100/4

x = 25

Therefore, the value of x is 25.

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The equation of the graph is,

⇒ y = 6x + 2

Since, The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

For each by sitting job. Adam charges a fee for his bus fare plus an hourly rate.

And, The graph shows how he calculates the cost of a babysitting job.

Now, By graph;

Two points on the line are (1, 8) and (2, 14).

Now,

Since, The equation of line passes through the points (1, 8) and (2, 14).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (14 - 8)) / (2 - 1)

m = 6 / 1

m = 6

Thus, The equation of line with slope 6 is,

⇒ y - 8 = 6 (x - 1)

⇒ y - 8 = 6x - 6

⇒ y = 6x + 2

Therefore, The equation of line will be;

⇒ y = 6x + 2

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Answer:

is this actual college math if so i cant help bc i am in middle school NOT THAT SMART

Step-by-step explanation:

9514 1404 393

Explanation:

The problem statement tells you what to do.

  25^(n-1) +125 -6·5^n = 0 . . . . . subtract 6·5^n

  (5^2)^(n-1) -6·5^n +125 = 0 . . . . express 25 as a power of 5

  5^(2n-2) -6·5^n +125 = 0 . . . . . eliminate the double layer of exponent

  (5^-2)(5^n)^2 -6·5^n +125 = 0 . . . . . use 5^n where possible

  (1/25)y^2 -6y +125 = 0 . . . . . . . substitute y = 5^n

  y^2 -150n +3125 = 0 . . . . . . . . . multiply by 25

_____

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

Answer:

Step-by-step explanation:

Using the concept of permutation, the company can generate 108,927 different employee ID codes.

To know the number of employee ID codes that's generated, we can check the number of possibilities of each component and multiply them together.

Given:

- Two letters can be chosen from 23 letters (excluding D, G, and Z).

- One digit can be chosen from 9 digits.

- One letter can be chosen from 23 letters (excluding D, G, and Z).

Number of possibilities for the first letter = 23

Number of possibilities for the second letter = 23

Number of possibilities for the digit = 9

Number of possibilities for the third letter = 23

To calculate the total number of employee ID codes, we multiply these possibilities together:

By using the concept of permutation;

Total number of ID codes = 23 × 23 × 9 × 23

Total number of ID codes = 108,927

Therefore, the company can generate 108,927 different employee ID codes.

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Since the line is a solid line, it means that the sign must have an equality represented as well, leaving the only possible options the third and the fourth.

Finally since the shadowed portion of the graph is above the line it means that the graph should be greater to the line, then, the correct inequality is:

Answer:

612 calories

Step-by-step explanation:

153 x 4 = 612

Answer:

612 calories

Step-by-step explanation:

what I would do is multiply 153×4=612 calories

Answer:

84

Step-by-step explanation:

We simply plug in 1.75 for x into y = 48x, and when we do so we get y = 48 * 1.75 = 84 cups of coffee. Hope this helps!

Answer:

B) 84

Step-by-step explanation:

48 times x is the cups of coffee sold in x hours.

if x = 1.75, then you times 48 by 1.75

48 x 1.75 = 84

Answer:

Jack is 31

Lacy is 10

Step-by-step explanation:

x - 9 = 22

since jack is 3 times as old as lacy,

the formula is

3x - 9 = 22

3x = 31

x = 10.3

So Jack is 31

And Lacy is 10

To prove this, subract 9 (years) from both ages

It will give you an approximate sum of 22 years for both their ages, as the question states

Since Lacy is a little over 10 years old, Jack is 31 instead of 30

The formula was taken from someone elses answer so sorry if it`s wrong

Answer:

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

As per given drawing PQ is the segment bisector of XY.

The point W is the midpoint of XY. As per property of midpoint, XW and WY have equal length.

XW = 13 units, hence:

Answer:

46

Step-by-step explanation:

Answer:

The first question asks which variable Amari used to construct a bar graph. It is not specified which variable she used, so we cannot determine the answer.

The second question asks which graph correctly displays the data collected from the customers about their favorite topping. The data is nominal, so a bar graph would be appropriate. The correct answer is:

c) a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44

The third question asks which stem-and-leaf plot correctly graphs the data set of points scored by the Riverside Red Dragons during the 2021 football season. The correct answer is:

c)

2021 Riverside Red Dragon Football Season Points

0 0 4

1 1 3 3

2 0 0 6 7 7 7

3 0 0 0 0 1

Key 1|1 = 11

The fourth question asks which graphical representation would be best for a principal interested in the number of hours slept per night by 14-year-olds in a particular town. The data is quantitative, so a histogram would be appropriate. The correct answer is:

b) Histogram

Step-by-step explanation:

there are actually no restrictions. even with a negative x, squaring it makes for a positive result.

In order to write a number in scientific notation, the first digit is taken, and this must be between 1 and 9 (that is, just one digit), and the rest are placed behind a decimal.

Next the number is multiplied by 10 raised to the power of the number of digits after the decimal. This is shown below;

The number 4.7895100 is rounded off by taking the digit after the number 8 (the second number after the decimal) and adding it as 1 to the number just before it. If the number were less than 5 (insignificant number) then it wont be added to the number before it, but instead would be taken as 0. Therefore, the number is rounded off to 4.79 and all other digits after that would become zero. What you would have therefore is, 4.7900000. Note that zeros after the decimal are of no value.

Answer:

See below

Step-by-step explanation:

What you need to do is put   g(x)   in for 'x' of f(x)

f(g(x) =   2(5x+7)^2 -5

       2 ( 25x^2 + 70x + 49)   - 5

     = 50x^2 + 140x + 93

Answer:

0.0999 hope it will help you