The ages of 10 students in mrs.kiperlings class are 14,14,13,13,13,15,14,14,13,13.what is the mean absolute deviation of the ages.

Answers

Answer 1

Answer:

13.6

Step-by-step explanation:

Add all of the ages up:

14 + 14 + 13 + 13 + 13 + 15 + 14 + 14 + 13 + 13 = 136

Then divide that by 10:

136/10 = 13.6

Answer 2
Final answer:

To calculate the mean absolute deviation of the ages in Mrs. Kiperling's class, first calculate the mean, then the absolute differences between each age and the mean, and finally average those differences to get an MAD of 0.6 years.

Explanation:

The mean absolute deviation (MAD) of a set of numbers is a measure of how spread out the numbers are from the average (mean). To calculate the MAD, we first find the mean of the data set, then find the absolute differences between each data point and the mean. Finally, we average those absolute differences to get the MAD. In this case, we begin by calculating the mean of the student ages:

Mean age = (14 + 14 + 13 + 13 + 13 + 15 + 14 + 14 + 13 + 13) / 10 = 13.6

Next, we find the absolute differences from the mean for each age:

|14 - 13.6| = 0.4|14 - 13.6| = 0.4|13 - 13.6| = 0.6|13 - 13.6| = 0.6|13 - 13.6| = 0.6|15 - 13.6| = 1.4|14 - 13.6| = 0.4|14 - 13.6| = 0.4|13 - 13.6| = 0.6|13 - 13.6| = 0.6

Now we calculate the mean of these absolute differences:

MAD = (0.4 + 0.4 + 0.6 + 0.6 + 0.6 + 1.4 + 0.4 + 0.4 + 0.6 + 0.6) / 10 = 6 / 10 = 0.6

So, the mean absolute deviation of the student ages in Mrs. Kiperling's class is 0.6 years.


Related Questions

if jenkins had 254 to spend,then bought 9 t-shirts and had 29 remaining,how much was each shirt? assuming that each shirt costs the same ​

Answers

Answer:

each shirt costs $25

Step-by-step explanation:

we can make an equation using x as the cost of each shirt. since 254 was the total, they will=254 together , and since we have 9 shirts, its 9x. we can use this info to create the equation 9x+29=254. we subtract 29 on each side to get 9x=225. we then divide 9 on both sides to get x=25. so each shirt costs $25

Brainliest plzzz

I need help
Por favor

Answers

Precio original = x

Precio después de la reducción = 35

Reducción = 25%

x * (25/100) = 35
x = 35 * (100/25)
x = 140

Prexio original = 140

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?

x =

y =

Answers

ANSWER

[tex]x = \frac{ - 20}{7}[/tex]

[tex]y=\frac{ 4}{7}[/tex]

EXPLANATION

The x and y coordinates of the point that partition

[tex](x_1,y_1)[/tex]

and

[tex](x_2,y_2)[/tex]

in the ratio m:n is given by:

[tex]x = \frac{mx_{2} + nx_{1}}{m + n} [/tex]

and

[tex]y= \frac{my_{2} + ny_{1}}{m + n} [/tex]

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3).

We substitute the given points,

[tex]x_1=-6[/tex]

[tex]y_1=2[/tex]

[tex]x_2=5[/tex]

[tex]y_2=-3[/tex]

[tex]m = 2[/tex]

[tex]n = 5[/tex]

This implies that;

[tex]x = \frac{2(5)+ 5( - 6)}{2 + 5} [/tex]

[tex]x = \frac{10 - 30}{2 + 5} [/tex]

[tex]x = \frac{ - 20}{7} [/tex]

[tex]y = \frac{2( - 3)+ 5( 2)}{2 + 5} [/tex]

[tex]y = \frac{ - 6+ 10}{2 + 5} [/tex]

[tex]y=\frac{ 4}{7}[/tex]

Answer:

x =  \frac{ - 20}{7}

y=\frac{ 4}{7}

Step-by-step explanation:

30000 equals how many ones

Answers

Final answer:

The number 30,000 is made up of 30,000 individual ones. This basic mathematical concept helps understand the scale of numbers and aid in quick approximations. It can be compared to estimating powers of 10 for mental calculations.

Explanation:

The question '30000 equals how many ones' can be interpreted as asking how many single units there are in 30,000. This is a basic math concept dealing with place value and integer understanding. Each individual unit is a 'one', and therefore, in 30,000, there are 30,000 of these individual units, each one contributing to the total value of the number. In other words, 30,000 is comprised of 30,000 ones.

To relate this to practical applications, consider the example where the square root of 10 is roughly estimated as 3, because 3³ (which is 3 x 3 x 3) equals 27, which is near to 10² (100), giving us an approximation that is useful for mental calculations. Similarly, the basic concept of powers of 10 can be applied here, with 10³ being 1,000, hence 30 x 10³ being 30,000. So, when you're working with large numbers like 30,000, knowing that it is made up of 30,000 ones can help you understand its scale and make quick approximations in everyday calculations.

Find the surface area of the right square pyramid. Round your answer to the nearest hundredth. A 117.66 yd^2 B. 123.21 yd^2 C. 145.75 yd^2 D. 182.04 yd ^2

Answers

Answer: OPTION C

Step-by-step explanation:

Use the following formula:

[tex]SA=\frac{pl}{2}+B[/tex]

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

The perimeter is:

[tex]p=4*s=4*5.3yd=21.2yd[/tex]

Where s is the side lenght

The slant height is given:

[tex]l=11.1yd[/tex]

The area of the base is:

[tex]B=s^2=(5.3yd)^2=28.09yd^2[/tex]

Where s is the side lenght

Substitute values. Then, the result is:

[tex]SA=\frac{(21.2yd)(11.1yd)}{2}+28.09yd^2)=145.75yd^2[/tex]

Answer:

The correct answer option is C. 145.75 yd^2.

Step-by-step explanation:

We are given a diagram of a right square pyramid with a slant height 11.1 yd, and base edge length 5.3 yd.

We know that the surface area of a right square pyramid is given by:

[tex]\frac{PI}{2} +B[/tex]

where P = perimeter of the base, I = slant height and B = base area.

Perimeter of base = [tex]4 \times 5.3[/tex] = 21.2 yd^2

Base Area = [tex]5.3^3[/tex] = 28.09 yd^2

Surface area of right square pyramid = [tex]\frac{21.2 \times 11.1 }{2} + 28.09[/tex] = 145.75 yd^2

The table shows the number of minutes spent doing different exercises. The mean spent exercising was 18.2 minutes. How many minutes were spent doing sit ups? (URGENT HELP) (ANSWER 4/11/19)

Answers

Answer:

15

Step-by-step explanation:

Call the unknown time x.

The mean is the sum of the numbers divided by the number of numbers.

There are 5 numbers.

(8 + 10 + 38 + x + 20)/5 = 18.2

(x + 76)/5 = 18.2

x + 76 = 91

x = 15

Answer:

Step-by-step explanation:

Add all the scores you do know

8  + 10 + 38 + 20 = 76

Now put in an ex for the situps.

76 + x

There are 5 subjects

(76 + x) /5 = 18.2

The average was 18.2

Multiply both sides by 5

5*(76 + x ) / 5 = 18.2 * 5      

Cancel the left combine the right.

76 + x  = 91

Subtract 76 from both sides

76 - 76 + x = 91 - 76

x = 15

                       

MAX POINTS AND BRAINLIEST !!

Write a quadratic equation that can be solved by factoring. Solve your equation and show and explain all your work.

please dont just copy from something you found online cause i'll report u :l

Answers

Answer:

x^2+2x+2

Step-by-step explanation:

(x+1)(x+1) or (x+1)^2

x = -1

Answer:

Step-by-step explanation:

x²+8x+15 is the quadratic equation and it can be solved by factoring. By factoring the answer will be (x+3) (x+5) and if it is expanded, the answer will be x²+8x+15. First, you should factorize the equation. Then, find the two numbers that if they are added together the sum will 8 and if they are multiplied the product is 15.

Hope this helps!

What is the lowest value of the range of the function shown on the graph! Please help asap

Answers

The lowest value of the range of the function based on the given coordinates is -2.

To determine the lowest value of the range of the function based on the given coordinates, we need to identify the minimum y-value among the points. The y-values are the second coordinates in each pair.

The given coordinates are:

[tex]\[(-4,5), (0,1), (1,0), (3,-2), (4,-1), (5,0)\][/tex]

The minimum y-value is -2, which corresponds to the point (3, -2). Therefore, the lowest value of the range of the function is -2.

Among the provided options, -2 is the correct answer. The other options (negative infinity, 0, 3) are not supported by the given data. The function attains its lowest value at the point (3, -2), and no lower value is evident from the provided coordinates.

In summary, the lowest value of the range of the function based on the given coordinates is -2.

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consider the graph of f(x) = x is shifted up 8 units, what would be the equation of the new graph?

Answers

Answer:

f(x) = x + 8

Step-by-step explanation:

this is the answer because the equation is y = mx + k. In this formula the k value represents the number of times the graph goes up and down. When a graph moves up 8 units. The k value becomes +8. Hence the answer is y = x + 8.

What is the measure of ∠W, rounded to the nearest degree?

19°
32°
56°
71°

Answers

Answer:

71°

Step-by-step explanation:

This is an isosceles triangle because it has two sides with lengths, hence the angles opposite the equal sides are also equal, that is ∠U = ∠V.

So we can say that:

∠U = ∠V = α

∠W = β

Since the internal angles of a triangle add up to 180 degrees, then:

α + α + β = 180

2α + β = 180

β = 180 - 2α

Using the law of sine:

[tex]\frac{35}{sin\beta} =\frac{30}{sin\alpha} \\ \\ \frac{35}{sin(180 - 2\alpha)} =\frac{30}{sin\alpha} \\ \\ \\ From \ Properties: \\ \\ sin(180-2\alpha)=sin(180)cos2\alpha-sin2\alpha cos(180) \\ \\ = -sin2\alpha(-1)=sin2\alpha \\ \\ Also: \\ \\ sin2\alpha=2sin\alpha cos\alpha[/tex]

Therefore:

[tex]\frac{35}{2sin\alpha cos\alpha} =\frac{30}{sin\alpha} \\ \\ \therefore \frac{35}{60}=cos\alpha \\ \\ \alpha=cos^{-1}(\frac{7}{12})=54.31^{\circ}[/tex]

But we want to know ∠W = β, therefore:

[tex]\beta = 180 - 2\alpha \\ \\ \beta =180-2(54.31)=71.37^{\circ}[/tex]

And rounded to the nearest degree:

∠W = 71°

How do mathematical graphs help us better understand our world

Answers

Answer:

because they help us better analyze data

Step-by-step explanation:

we can see a lot of data on one small thing such as a graph, so we can easily graph data from many years on one graph

Final answer:

Graphs in mathematics help us visually represent equations and display data, allowing us to understand patterns, trends, and relationships between variables.

Explanation:

Graphs are an important tool in mathematics as they help us better understand our world by visually representing equations and displaying data. Graphs can show the relationship between different variables, such as in a line graph where one variable is plotted on the horizontal axis and another on the vertical axis. They can also represent data using bar graphs or pie graphs, which help us compare and interpret numerical information.

For example, if we want to analyze the temperature changes throughout a year, we can plot the temperature on the vertical axis and the months on the horizontal axis. By connecting the data points, we can see patterns and trends, such as variations in temperature during different seasons.

In addition, graphs allow us to make predictions and draw conclusions based on the data presented. By analyzing the shape and slope of a graph, we can determine the rate of change, identify maximum and minimum values, and make predictions about future outcomes.

Y=f(x) =2x find f(x) when x=1

Answers

Answer:

y = 2

Step-by-step explanation:

Plug 1 into x

2(1) = 2

Find a•b. a=<2,4>, b= <2,5>

Answers

Answer:

a • b = 24

Step-by-step explanation:

[tex]<a,\ b>\circ<c,\ d>=ac+bd\\\\a=<2,\ 4>,\ b=<2,\ 5>\\\\a\circ b=<2,\ 4>\circ<2,\ 5>=(2)(2)+(4)(5)=4+20=24[/tex]

Manager A earns $15 per hour and receives a $50 bonus. The graph shows the earnings of Manager B

Answers

Answer:

manger b gets mor money

pleaee give branly

Step-by-step explanation:

Answer:B

Step-by-step explanation:

What is 4x4x8 in volume

Answers

Answer:

128

Step-by-step explanation:

Do the multiplication:

4 * 4 * 8 = 128

128! That would be the correct answer!!!

In 2005, there were 12,300 students at college A, with a projected enrollment increase of 500 students per year. In the same year there were 18,550 students at college B with a projected enrollment decline of 750 students per year. According to these projections, when will the colleges have the same enrollment? What will the enrollment in each college at that time?

Answers

Answer: 5 years

              14,800 students enrolled

Step-by-step explanation:

Let x represent the number of years and

Let y represent the number of students enrolled

College A: y = 12,300 + 500x

College B: y = 18,550 - 750x

Use substitution Method to solve:

12,300 + 500x = 18,550 - 750x

            +750x                +750x

12,300 + 1250x = 18,550

-12,300               -12,300

              1250x = 6250

                      x = 5

Input x = 5 into one of the equations to solve for y.

y = 12,300 + 500x

  = 12,300 + 500(5)

  = 12,300 + 2500

  = 14,800


Solve the problem below.



57°

123°

114°

66°

Answers

Answer:

66

Step-by-step explanation:

What are the characteristics of trapezoid ?

Answers

Answer:

"A trapezoid is a quadrilateral with two parallel sides and, usually, two nonparallel sides."

Step-by-step explanation:

"A trapezoid is a quadrilateral with two parallel sides and, usually, two nonparallel sides. A quadrilateral is a geometric shape that has four sides. Some specialized types of trapezoid are the parallelogram and the isosceles trapezoid.

The two parallel sides of a trapezoid are its bases while the legs are the nonparallel sides. Geometric analysis of a trapezoid includes calculating the height, median and area. The height of a trapezoid is a line segment that runs perpendicular to the bases. The median, or mid-segment, is a line that is parallel to the bases and connects the midpoints of each leg. The area is calculated with a formula using the lengths of each base and the height.

A parallelogram is usually defined as a trapezoid, although it has two pairs of parallel sides instead of just one. An isosceles trapezoid has congruent base angles and equal leg lengths."

A trapezoid is a four-sided polygon with one pair of parallel sides. Its key characteristics include parallel sides, supplementary adjacent angles, and specific area calculation. The median connects the midpoints of the legs, with a length that averages the bases.

A trapezoid is a four-sided polygon, also known as a quadrilateral, with one pair of opposite sides parallel. These parallel sides are known as the bases of the trapezoid, while the other two sides are called the legs.

Key Characteristics:

Parallel Sides: The most defining feature of a trapezoid is that it has exactly one pair of parallel sides.Angle Properties: The angles adjacent to each leg are supplementary, meaning they add up to 180 degrees.Area Calculation: The area of a trapezoid can be calculated using the formula A = 1/2 × (Base1 + Base2) × Height, where Base1 and Base2 are the lengths of the parallel sides, and Height is the perpendicular distance between them.Median: The median (or midsegment) of a trapezoid is a line segment that connects the midpoints of the legs, and its length is the average of the lengths of the bases.

These characteristics are essential for identifying and working with trapezoids, especially in various mathematical problems and geometric constructions.

The number 8 is a perfect 1. Square and cube 2. Cube 3. Square

Answers

Answer:

2. Cube

Step-by-step explanation:

[tex]8=2\cdot2\cdot2=2^3\\\\\text{It's a perfect cube}[/tex]

471.9 is 65% of what amount​

Answers

471.9=65% × x

671.9/65 = x

x= 10.336923077

Check! Proof!

10.336923077×65%

=671.9

Answers

10.336923077

What is the solution

Answers

Answer:

Step-by-step explanation:

I need help please???

Answers

Answer:

x < 8

Step-by-step explanation:

Given

x + 4 < 12

Isolate x on the left side by subtracting 4 from both sides

x < 8 ← is the solution

Answer:

x< 8

Step-by-step explanation:

x+4<12

x+4<12

 -4  -4

x<8

find all the zeros and write a linear factorization of g(x)=x^4-8x^3+27x^2-50x+50 given that 1+2i is a zero

Answers

Answer:

g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))

Please see attached image

Step-by-step explanation:

We can easily solve this equation by using a technical solver or a programming language such as Octave.

The linear factorization of the equation can be obtained directly by finding the zeros of g(x)

Please see attached images for the answer to your problem

g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))

[PLEASE IM BEING TIMED] Which of the following determined that laws enforcing the racial segregation of schools were unconstitutional?

A. Brown v. Board of Education
B. the Southern Manifesto
C. Plessy v. Ferguson
D. the Arkansas public schools

Answers

Answer:

your answer would be A. Brown v. Board of Education

Step-by-step explanation:

Answer:

The correct answer is the option A: Brown v. Board of Education.

Step-by-step explanation:

Brown v. Board of Education was a landmark decision by the Supreme Court of the United States in the year 1954, whose main purpose was to prohibited state laws, that were in favor of the racial segregation of schools, declaring them unconstitutional, due to the fact that these segregated schools violated the ''Equal Protection Clause'' of the Fourteenth Amendment of the United States' Constitution.

It all began in 1951 when the Brown family wanted to take her daughter to a school near their home, but the board education of the school refused and said that they must take her to a segregated black elementary school further away. Then, the family and other twelve families in similar situations initiated a class action lawsuit in U. S. federal court against the school's board of education located in Topeka, Kansas.

write a division equation to represent the repeated subtraction 32 take away 8 is 24 24 take away 8 is16 16 take away 8 is 8/8 take away 8 is 0​

Answers

What this setup essentially represents is “How many 8s can we take away from 32 before hitting 0?” Which in turn can be reframed as “How many 8s fit into 32?” This can be captured in the expression 32 / 8. As we can see from the problem, we can take away 4 8’s before hitting 0, so that gives us the equation 32 / 8 = 4
Final answer:

The repeated subtraction of 8 from 32 until reaching 0 can be represented by the division equation 32 ÷ 8 = 4, showing the number of times 8 is subtracted from 32.

Explanation:

The student is performing repeated subtraction of the same number, which can also be represented by a division equation. The repeated subtraction mentioned:

32 take away 8 is 2424 take away 8 is 1616 take away 8 is 88 take away 8 is 0

Shows that 32 is being subtracted by 8 until it reaches 0, and this process happens four times. Thus, we can convert this series of subtractions into a division equation: 32 ÷ 8 = 4. This equation means that you can subtract 8 from 32 four times before reaching zero, which is equivalent to dividing 32 by 8.

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Which of the following ordered pairs lies on the graph of h(x)=-3x^2?
A. (1,-4)
B. (1,-2)
C. (1,4)

Answers

given, y= -2x^2;

so, when x=1, y= -2((1)^2)= -2

so pair which lie on graph is (x,y) is (1,-2)

Answer:

None

Step-by-step explanation:

We are given that a graph[tex] h(x)=-3x^2[/tex]

We have to find that which pair lie on the given graph.

In order to find the value of ordered pair which lies on the given graph by substituting the value of x=1

If we get h(x)=-4 or -2 or 4 corresponding to x=1 then that pair will be answer.

Substitute x=1 then we get

[tex]h(x)=-3(1)^2=-3[/tex]

The order pair is  (1,-3).

Given options do not match with order pair (1,-3).

Hence, answer is none of the above.

Which situation is best modeled by the equation 9+=16 9 + x = 16 ?

Answers

This is the all question?

Answer:

D.) You pay $9  for a burger and some amount for dessert for a              total of $16.

 

 Bottom Right

Leon is helping his baby sister Daphne eat her dinner. There are 121212 peas left in Daphne's bowl and 777 peas squished in her hair

Answers

Answer:

Step-by-step explanation:

12:7 I'm pretty sure thats right and if its not then try 7:12

What is the sine equation?

Answers

I believe it’s just:
y=SinX

The amplitude is one so therefore it would be y=(1)Sin

And then the frequency is one because from 0 to 540, it goes through a full wavelength once. y=(1)Sin(1)X

You don’t write the one’s, so that’s why I believe that it would be y=SinX

Definitely get a second opinion though, I don’t want to tell you the wrong answer!

Help me please and thank you

Answers

Answer:

The answer to this problem is 32

Step-by-step explanation:

How to get this answer is u divide the base by the area of meters. so 276/12=32. Hope this helps and i hope its right!

Enjoy Brainly,

Homepage10

Put it into a calculator. The method is correct. The answer is 23

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