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2 years ago

Could somone help me on this MAD question

Mathematics

1 answer:

olga_2 [115]2 years ago

3 0

The mean absolute deviation of the set of numbers is 5/4

<h3>How to determine the mean absolute deviation?</h3>

The set of numbers is given as:

1 1/2, 0, 4 and 2 1/2

Rewrite the set of numbers as:

1.5, 0, 4 and 2.5

Calculate the mean of the set using:

$\bar x$ = Sum/Count

So, we have:

$\bar x$ = (1.5 + 0 + 4 + 2.5)/4

Evaluate

$\bar x$ = 2

The mean absolute deviation is then calculated as:

M.A.D = 1/n * ∑|x - $\bar x$ |

So, we have:

M.A.D = 1/4 * [|1.5 - 2| + |0 - 2| + |4 - 2| + |2.5 - 2|]

Evaluate the absolute difference

M.A.D = 1/4 * [0.5 + 2 + 2 + 0.5]

Evaluate the sum

M.A.D = 1/4 * 5

Evaluate the product

M.A.D = 5/4

Hence, the mean absolute deviation of the set of numbers is 5/4

Read more about mean absolute deviation at

brainly.com/question/9495630

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Y and X vary directly. If the constant of variation is 4,then what is the value of x when y=6?

jarptica [38.1K]

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3 years ago

How to didvie $50 in the ratio of 2:3

Rama09 [41]

50 divided 2/3

50 x 3/2 = 150/2

= 75

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3 years ago

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Find the values of the variables and the measures of the angles

Alekssandra [29.7K]

The angles of the triangle are 39°, 51°, and 90°.

Step-by-step explanation:

Step 1:

The sum of all the angles in any triangle is equal to 180°.

We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.

So the angles of the triangle are $3x,$ $4x-1,$ and $90.$

Step 2:

Now, we substitute all the angles to a sum of 180 to determine the value of x.

$3x + 4x - 1 + 90 = 180.$

$7x = 91, x = \frac{91}{7} = 13.$

So x = 13°. The angles are

$3x = 3 (13) = 39, 4x-1 = 4(13) - 1 = 51.$

The angles of the triangle are 39°, 51°, and 90°.

7 0

3 years ago

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y = β0 + β1x1 + β2 x12+ ε is known as a Group of answer choices simple first-order model with two predictor variables. simple f

Alborosie

Answer:

(A)Simple First Order Model with Two Predictor Variables.

Step-by-step explanation:

A multiple linear regression model with k predictor variables X₁, X₂, ..., Xₖ and a response Y, can be written as:

y = βₒ + β₁x₁ + β₂x₂ + ··· βₖxₖ + ∈.

Where:

x₁ , x₂,...xₖ are the predictor variables.

βₒ ,β₁, β₂ ··· βₖ are the Regression Coefficients.

and ∈ are the residual terms of the model

Multiple regression models describe how a single response variable y depends linearly on a number of predictor variables x.

The model:

y = βₒ + β₁x₁ + β₂x₂ + ∈ has two predictor variables. It is also of first order since there is no quadratic term, therefore it is a Simple First Order Model with Two Predictor Variables.

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3 years ago

"Find y". I got this wrong and want to understand why and how to do the problem. Can someone please help?

podryga [215]

Answer:

$y=\frac{15\sqrt{3} }{4}$

Step-by-step explanation:

Well what you have here are two right triangles within another right triangles created by an altitude. This results in 3 similar triangles (see attached for reference)

As a result , using the properties of similar triangles, and taking ratios of their sides of the medium triangle and the largest triangle, we can form the following relationship:

$\frac{b}{z}=\frac{y}{x} = \frac{z}{a+b}$ (we know that a+b = 15), hence the equation becomes: