A summer camp had

An analyst must decide between two different forecasting techniques for weekly sales of roller blades: a linear trend equation a

Amiraneli [1.4K]

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Mean Absolute Deviation MAD

$MAD = \sum_{i=1}^{n} \frac{\left | actual_{i}-forecast_{i} \right |}{n}$

Mean squared error

$MSE=\Sigma^{n}_{i=1} \frac{(Actual_i - Forecast_i)^2}{(n - 1)}$

linear trend equation is $Ft = 124 + 2t$

$MAD = \frac{23}{10} = 2.3\\\\MSE = \frac{91}{9}= 10.11\\\\$

Naive method

$MAD = \frac{36}{9} = 4\\\\MSE = \frac{202}{8}=25.25\\\\MAD (Naive) = 4\\\\MAD (Linear) =2.3\\\\MSE (Naive)=25.25\\\\MSE (Linear)=10.11\\\\$

Please find the attached file.

7 0

3 years ago

15.) whats the approximately measure of one interior angle of the regular polygon shown

kirill115 [55]

Answer:

15) For a regular polygon of N sides, the measure of one interior angle is:

A = (N - 2)*180°/N

In this case, the figure has 11 sides, then we have N = 11, and the measure of each interior angle will be:

A = (11 - 2)*180°/11

A = 9*180°/11 = 147.27°

Rounding to the first decimal after the decimal point, we get:

A = 147.3°

Then the correct option is B.

16) We know that the length of all the sides of a square is the same.

In the image, we can see that the length of the right side is 4, and the length of the top side is 2x + 4

And those lengths must be the same, then we have the equation:

2x + 4 = 4

subtracting 4 in each side of the equation we get:

2x + 4 - 4 = 4 - 4

2x = 0

The only solution for this equation is x = 0.

Then the correct option is C

8 0

3 years ago

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a base with a circumferen

Andreas93 [3]

Answer:

The volume of the cone-shaped sculpture is equal to 114.631 ft³.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Geometry

Circumference Formula:
$\displaystyle C = 2 \pi r$

r is radius

Volume Formula [Cone]:
$\displaystyle V = \frac{\pi r^2 h}{3}$

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Identify given.

h = 8 ft

C = 23.236 ft

Step 2: Find Radius r

[Circumference Formula] Substitute in variables:
$\displaystyle \begin{aligned}C = 2 \pi r & \rightarrow 23.236 \ \text{ft} = 2(3.14)r \\\end{aligned}$
Solve [Equality Properties]:
$\displaystyle \begin{aligned}C = 2 \pi r & \rightarrow 23.236 \ \text{ft} = 2(3.14)r \\& \rightarrow r = 3.7 \ \text{ft} \\\end{aligned}$

Step 3: Find Volume

[Volume Formula - Cone] Substitute in variables:
$\displaystyle \begin{aligned}V = \frac{\pi r^2 h}{3} & \rightarrow V = \frac{(3.14)(3.7 \ \text{ft})^2(8 \ \text{ft})}{3} \\\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}V = \frac{\pi r^2 h}{3} & \rightarrow V = \frac{(3.14)(3.7 \ \text{ft})^2(8 \ \text{ft})}{3} \\& \rightarrow V = \boxed{ 114.631 \ \text{ft}^3 } \\\end{aligned}$

∴ the volume of the artist-created sculpture is 114.631 ft³.

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Learn more about Geometry: brainly.com/question/27732359

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Topic: Geometry

6 0

2 years ago

What divided by what equals 9.7

RoseWind [281]

Answer:

54.32 ÷ 5.6

Step-by-step explanation:

Just do 9.7 x literally anything, and take the answer and divide it by the other factor to get 9.7. Hope this helps!

7 0

4 years ago

Xavier can swim at a constant speed of 5/3 meters/second.

dybincka [34]

Answer:

A. 5 meters every 3 seconds or 1,667 meters every second

B. No. He is not fast enough to cover the distance required on the time specified by the judges or the event

C. Yes. He has more time to cover the distance in this event, so his current average speed is enough for him to have the opportunity to qualify.

Step-by-step explanation:

The statement tells us that Xavier Swims at a constant speed of 5/3 meters/second. This means that every 3 seconds, Xavier travels 5 meters. It can also be considered that Xavier swims 1,667 meters every second.

To complete 100 meters on 55 seconds, Xavier would have to Swim 1,82 meters every second, dividing 100 meters between 55 seconds. Currently, Xavier can´t achieve that speed so he would not qualify. However, on the 200-meter event he has more time to cover the distance and would need to swim 1,54 meters every second wich is below its current speed. To the second event, Xavier might qualify.

5 0

3 years ago