<span>The coefficient of
determination is presented by R</span>²<span> is mostly used in the analysis of regression
where it is the proportion of the variance in the dependent variable that is
predictable from the independent variable. The range of values between the predicted
scores and the actual scores is between 0 to 1. The closer the value to 1, the
greater is the relationship between variables and has lesser errors. For example,
if there is an R</span>²<span> of 0.80, then it means that 80% is predictable. R</span>² can be obtained using excel as trendline or with the use of formula.
Answer:
y = -1/4
Step-by-step explanation:
y/5 +3/10 = (y+2)/7
The LCD is 10·7 = 70. Multiplying the equation by 70 gives ...
14y +21 = 10(y +2)
14y +21 = 10y +20 . . . . eliminate parentheses
4y + 21 = 20 . . . . subtract 10y
4y = -1 . . . . . . . . . subtract 21
y = -1/4 . . . . . . . . .divide by 4
_____
<em>Check</em>
(-1/4)/5 +3/10 = (-1/4 +2)/7 . . . . . substitute for y
-1/20 +6/20 = (7/4)/7 . . . simplify a bit, rewrite 3/10
5/20 = 1/4 . . . . . . . . . . true
Answer:
3. It is likely.
Step-by-step explanation:
Let's assume the dartboards circles have radius of r, 2r, 3r and 4r from inner side
<u>Then the areas covered will be as:</u>
- point 20 = πr² = S
- point 15 = π(2r)² - πr² = 3πr² = 3S
- point 1 0 = π(3r)² - π(2r)² = 5πr² = 5S
- point 5 = π(4r)² - π(3r)² = 7πr² = 7S
Total area of the dartboard is S+3S+5S+7S = 16S
The area of point 5 is 7S. And the area of non- 5 point is 16S - 7S = 9S
The probability of scoring at least 10 points is:
As it is between 1/2 and 1, the probability is in 'likely' region
<u>So the correct answer choice is:</u> 3. It is likely
4y - x = 5 + 2y ..... (1)
3x + 7y = 24 ..... (2)
by grouping like terms in (1)
4y - x = 5 + 2y
4y - 2y - x = 5
<span>-x + 2y = 5 </span> ..... (1a)
by multiplying (1a) through by -3
(-3)(-x) + 2(-3)y = 5(-3)
3x - 6y = -15 ..... (1b)
by subtracting 1a from 2
3x -3x + 7y - (-6y) = 24 - (-15)
13y = 39
⇒ y = 3
by substituting y=3 into (2)
3x + 7(3) = 24
3x = 24 - 21
3x = 3
⇒ x = 1
∴ solution to the system is x=1 when y = 3
I think you should say you multipliyed?
