All categories

2 years ago

Mean absolute deviation of 290

Mathematics

1 answer:

Levart [38]2 years ago

7 0

Answer:

3.5555555555556

Step-by-step explanation:

you cannot find the Mean Absolute Deviation of one number. This answer is the data set 2, 9, and 0. 3.5555555555556 is the Mean Absolute Deviation of 2, 9, 0.

You might be interested in

Estimate 29.14 x 5.2

aev [14]

Answer:

About 151.500

Step-by-step explanation:

Actual answer is 151.528 Just go with mental math.

8 0

3 years ago

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

Question 24 points)Bill cuts a circle out of a square piece of wood to use for a project.Approximately how much wood will be lef

maks197457 [2]

The square piece of wood measures 32 in per side,

Then the circle that can be cut off it has a radius of 16 in (half of the diameter 32 in)

Therefore, the area of the circle is going to be given by the formula:

$\begin{gathered} \text{Area}=\pi R^2 \\ \text{Area}=\pi(16)^2\text{ }\approx803.\, 84in^2 \end{gathered}$

And the area of the initial square was:

Area = 32^2 in^2 = 1024 in^2

Therefore the left-overs of the piece of wood would be the difference:

1024 in^2 - 803.84 in^2

3 0

1 year ago

Elise is making punch for the party that requires 2 parts of fruit juice for every 5 parts of ginger ale. To make the punch, she

dalvyx [7]

Given:

Elise is making punch for the party that requires 2 parts of fruit juice for every 5 parts of ginger ale.

To make the punch, she uses 18 ounces of fruit juice and 3 containers of ginger ale.

To find:

The number of ounces in each container of ginger ale.

Solution:

Let n be the number of ounces in each container of ginger ale.

According to the question, the ratio of fruit juice and ginger ale is 2:5. it means,

$\dfrac{\text{Fruit juice}}{\text{Ginger}}=\dfrac{2}{5}$

$\dfrac{18}{\text{Ginger}}=\dfrac{2}{5}$

$5\times 18=2\times \text{Ginger}$

$90=2\times \text{Ginger}$

Divide both sides by 2.

$45=\text{Ginger}$

So, ginger required for punch is 45 ounces.

Number of containers = 3

Number of ounces in each container of ginger ale = n

Number of ounces in 3 containers of ginger ale = 3n

Now,

$3n=45$

Divide both sides by 3.

$n=15$

Therefore, 15 ounces are in each container of ginger ale.

6 0

3 years ago

3ax-n/5=-4 solve for x

ollegr [7]

The solution for x in the equation 3ax - n/5 = -4 is x = -4/3a + n/15a.

<h3>What is the solution for x in the given equation?</h3>

3ax - n/5 = -4

To solve for x, isolate the term that contains x.

3ax - n/5 = -4

3ax = -4 + n/5

Divide each term by the coefficient of x and simplify

3ax/3a = -4/3a + (n/5)/3a

x = -4/3a + (n/5)/3a

multiply (n/5) by the reciprocal of 3a

x = -4/3a + (n/5) × 1/3a

x = -4/3a + n/15a

Therefore, the solution for x in the equation 3ax - n/5 = -4 is x = -4/3a + n/15a.

Learn more about equations here: brainly.com/question/14686792

#SPJ1

4 0

2 years ago