Answer:
The slope is m=2.145.
The y-intercept is b=-1.33.
Step-by-step explanation:
We have this data:
- The mean and standard deviation for x are 5.43 and 1.12, respectively.
- The mean and standard deviation for y are 10.32 and 2.69, respectively.
- The correlation is 0.893.
We have to calculate the slope and the y-intercept of the least-squares line.
With the given data, we can calculate the slope m as:
Then, the y-intercept is calculated as:
Answer:
- 2a² - 5a + 4ab - 2b + b²
Step-by-step explanation:
Distributing the parenthesis gives
= - 2a² - 2ab + 10a - 15a + 6b + 6ab + b² - 8b ( collect like terms )
= - 2a² + (10a - 15a) + (- 2ab + 6ab) + (6b - 8b) + b²
= - 2a² - 5a + 4ab - 2b + b²
------------------------------------------------------
coefficient of the a² term is - 2
coefficient of the ab term is + 4
coefficient of the b term is - 2
Answer:
30,000
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
use pythagorean theorem and fill in the blanks and solve for a^2
The value in the sequence closest to 300 is 310
<h3>Arithmetic Sequence</h3>
Arithmetic sequence is a sequence where each term increases or decreases by addition or subtraction of a constant term
the first term a = 30
common difference, d = 40
which term is closest to 300 we solve like this
300 / 40 = 7.5 say 7
the 7th term, T7 is solved by
T7 = a + ( n - 1 ) d
T7 = 30 + ( 7 - 1 ) 40
T7 = 30 + 240
T7 = 270
checking for the 8th term to confirm the nearest
T8 = T7 + d = T7 + 40
T8 = 270 + 40
T8 = 310
therefore the 8th term is closest and the value is 310
Read more on Arithmetic sequence here:
brainly.com/question/7882626
brainly.com/question/6561461
