What is the value of x in -2=5x+3

Daily high temperatures in St. Louis for the last week were as follows: 95, 92, 93, 92, 95, 90, 90 (yesterday). a) The

hichkok12 [17]

Answer:

a) T = 91.7 degrees

b) T = 90 degrees

c) MAD = 1.9

d) MSE = 5.05

Step-by-step explanation:

Given:

- Daily high temperatures in St. Louis for the last week were as follows:

95, 92, 93, 92, 95, 90, 90

Find:

a) Forecast the high temperature today, using a 3-day moving average.

b) Forecast the high temperature today, using a 2-day moving average.

c) Calculate the mean absolute deviation based on a 2-day moving average, covering all days in which you can have a forecast and an actual temperature.

d) The mean squared error for the 2-day moving average

Solution:

a)

- The set of 3 day moving average is as follows:

4. (95 + 92 + 93) ÷ 3 = 93.33⁰C

5. (92 + 93 + 92) ÷ 3 = 92.33⁰C

6. (93 + 92 + 95) ÷ 3 = 93.33⁰C

7. (92 + 95 + 90) ÷ 3 = 92.33⁰C

8. (95 + 90 + 90) ÷ 3 = 91.667⁰C

- Now use these points on excel sheet to forecast the temperature for today. The line of best fit is given:

T = 91.7 degrees

b)

- The set of 2 day moving average is as follows:

3. (95 + 92) ÷ 2 = 93.5⁰C

4. (95 + 93) ÷ 2 = 92.5⁰C

5. (93 + 92) ÷ 2 = 92.5⁰C

6. (92 + 95) ÷ 2 = 93.5⁰C

7. (95 + 90) ÷ 2 = 92.5⁰C

8. (90 + 90) ÷ 2 = 90⁰C

- Now use these points on excel sheet to forecast the temperature for today. The line of best fit is given:

T = 90 degrees

c)

Error Error^2

3. 93.5⁰C 0.5 0.25

4. 92.5⁰C 0.5 0.25

5. 92.5⁰C 2.5 6.25

6. 93.5⁰C 3.5 12.25

7. 92.5⁰C 2.5 6.25

8. 90⁰C

- The mean absolute deviation as follows:

MAD = Sum of all errors / 5

MAD = (0.5+0.5+2.5+3.5+2.5) / 5

MAD = 1.9

d)

- The mean squared error deviation as follows:

MSE = Sum of all error^2 / 5

MSE = (0.25+0.25+6.25+12.25+6.25) / 5

MSE = 5.05

4 0

2 years ago

Solving need help in don't get it

Orlov [11]

$\sqrt{3x-5}-2=0$
add 2 to both sides
$\sqrt{3x-5}=2$
square both sides
3x-5=4
add 5 to both sides
3x=9
divide 3
x=3

a nswer is B

4 0

3 years ago

Solve for k please help!!!

grin007 [14]

Answer: k = 59°

Steps:
180 - 77 = 103

103 + 18 + k = 180
121 + k = 180
k = 180 - 121
k = 59

Check:
103 + 18 + k = 180
103 + 18 + 59 = 180
180 = 180 ✅

8 0

2 years ago

Read 2 more answers

One pipe can fill a pool in 9 hours. Another pipe can fill the pool in 6 hours. How long would it take them to fill the pool if

kow [346]

Answer:

3.6 hours or 3 hours and 36 minutes.

Step-by-step explanation:

If the first pipe can fill the pool in 9 hours that means that in 1 hour it fills $\frac{1}{9}$ of the pool, we use the same logic for the second pipe and conclude that in 1 hour it feels up $\frac{1}{6}$ of the pool. If both were to fill the pool together that means that in 1 hour they would fill...

$\frac{1}{9} +\frac{1}{6} = \frac{5}{18}$ of the pool in 1 hour.

Now to find how many hours it will take divide the pool by the speed with which it is getting filled.

$1 / \frac{5}{18} = 3.6$ hours

3.6 hours in other words is 3 hours and 36 minutes.

3 0

2 years ago

Define the type of sequence below.<br> -2, 0, 2, 4, 6,

mihalych1998 [28]

Answer:

Arithmetic sequence.

Step-by-step explanation:

We have been given a sequence : -2, 0, 2, 4, 6. We are asked to define the type of our given sequence.

We can see from our given sequence that each next term is 2 more than the previous term of the sequence.

$0--2=0+2=2$

$2-0=2$

$6-4=2$

Since the difference between the consecutive terms is constant and each next term is produced by adding 2 to preceding term, therefore, our given sequence is an arithmetic sequence.

3 0

2 years ago

Read 2 more answers