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3 years ago

If △ABC ~ △DEF which of the following statements are correct?

1 answer:

5 0

The correct answer to this question is the last choice (angle B is equal to angle E). When given a question like this, always remember that corresponding angles of congruent triangles are congruent. In simpler terms, the letters that are in the same position in two different congruent triangles are congruent. Therefore, since B is the second letter in ABC and E is the second letter in DEF, we know the last choice is correct.

I hope this helps.

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Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12 15 10 18 14 Using the naive method (most recent value) as

fenix001 [56]

Answer:

(a) MAE = 5.20

(b) MSE = 10

(c) MAPE = 38.60%

(d) Forecast for week 7 = 14

Step-by-step explanation:

Note: See the attached excel for the calculations of the Error, Error^2, and Error %.

(a) mean absolute error

MAE = Total of absolute value of error / Number of observations considered = |Error| / 5 = 26 / 5 = 5.20

(b) mean squared error

MSE = Total of Error^2 / Number of observations considered = Error^2 / 5 = 150 / 5 = 10

(c) mean absolute percentage error (Round your answer to two decimal places.)

MAPE = Total of Error % / Number of observations considered = Error % / 5 = 193.02 / 5 = 38.60%

(d) What is the forecast for week 7?

Since the forecast is based on the naive method (most recent value), the forecast for week 7 is value for week 6. Therefore, we have:

Forecast for week 7 = 14

Download xlsx

6 0

3 years ago

There are 5 boys for every 6 girls.How many boys would there be if there were 36 girls?

dimulka [17.4K]

Answer:

Step-by-step explanation:

If there are 5 for every 6, then you divide 36 by 6 and then you get 6

Once you get that, multiply 5 by 6 and get 30

4 0

3 years ago

Read 2 more answers

Suppose that y varies inversely as x, and x=9 when y=15. Find the value for k and write the function. Group of answer choices La

Radda [10]

Answer:

see explanation

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition that x = 9 when y = 15

15 = $\frac{k}{9}$ ( multiply both sides by 9 )

k = 135

y = $\frac{135}{x}$ ← equation of variation

8 0

3 years ago

A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil

Zigmanuir [339]

Answer:

See below in bold.

Step-by-step explanation:

You work in fractions of the city streets done per hour:

1/200 + 1/400 = 1 /x where x is the number of hours taken by 2 teams.

Multiply through by the LCM 400x:

2x + x = 400

3x = 400

x = 133.33 hours.

As there are 168 hours in a week they will have enough time.

6 0

3 years ago

Suppose a railroad rail is 3 kilometers and it expands on a hot day by 15 centimeters in length. Approximately how many meters w

earnstyle [38]

Answer:

Answer: 13.4 m

Step-by-step explanation:

For small angles, x, in radians,

tan(x) ≈ sin(x) = x

Use this to create an approximate diagram for the problem as shown in the figure below.

The actual deflected shape is parabolic, but it is approximated by an isosceles triangle with small equal angles.

The extend length is 3 km + 12 cm, which is

3000 + 0.12 = 3000.12 m

Half of the extended length is 1500.06 m

Let h+ the rise of the center of the rail above ground.

From the Pythagorean theorem, obtain

h² + 1500² = 1500.6²

h² = 1500.06² - 1500² = 180.004

h = 13.4 m, which is about 0.9% of the original length.

Read more on Brainly.com - brainly.com/question/5596356#readmore

6 0

3 years ago