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8_murik_8 [283]
3 years ago
7

The president of State University wants to forecast student enrollment for this academic year based on the following historical

data: Year Enrollments 5 years ago 15,000 4 years ago 16,000 3 years ago 18,000 2 years ago 20,000 Last year 21,000
What is the forecast for this year using exponential smoothing with alpha = 0.5, if the forecast for two years ago was 16,000?

a)18,750

b)19,500

c)21,000

d)22,650

e)None of the above
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer: c

Step-by-step explanation:

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Find angle A using sin-1
ki77a [65]

Answer:

75°

Step-by-step explanation:

firstly, use the pythagoras theorem

Square root(8²-2²) = 7.75

Then, use sine

sine A= 7.75/8

Sine A=0.9688

A= (sine power of -1) x (0.9688)

A=75.63

5 0
3 years ago
Factor completely.
antiseptic1488 [7]

Answer:

B

Step-by-step explanation:

Given

y² - 12y + 32

Consider the factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)

The factors are - 4 and - 8, since

- 4 × - 8 = 32 and - 4 - 8 = - 12, thus

y² - 12y + 32 = (y - 4)(y - 8) → B

6 0
4 years ago
Read 2 more answers
What is the inverse of the function f(x)=1/9x+2
Anna35 [415]

Answer:

f^{-1}(x)=9x-18

Step-by-step explanation:

we have

f(x)=\frac{1}{9}x+2

Let

y=f(x)

y=\frac{1}{9}x+2

Exchange variables x for y and y for x

x=\frac{1}{9}y+2

Isolate the variable y

x-2=\frac{1}{9}y

y=9(x-2)

y=9x-18

Let

f^{-1}(x)=y

f^{-1}(x)=9x-18 -------> inverse function

7 0
4 years ago
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In January 2020 oil price was $1283 but in April 2020 the price was $1351. What is the percent increase or decrease
Cerrena [4.2K]

Answer:

5.3%

Step-by-step explanation:

% Increase = Increase / Original Number × 100.

68/1283 * 100

= 5.3%

5 0
3 years ago
Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
Zigmanuir [339]
The mean is the average.
So, to find the mean you want o add up all of the numbers and then divide by the number of numbers.

49 + 49 + 54 + 55 + 52 + 49 + 575 = 363
363 / 7 = 51.85
Rounded to 52

For the median you want o line all of your number up from least to greatest and then find the middle number.

49,49,49,52,54,55,55

Your median is 52

The mode is the number that is listed most often

49 is listed 3 times
54 is listed 1 time
52 is listed 1 time
55 is listed 2 times

So, your mode is 49




4 0
4 years ago
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