Answer:
2x-3
Step-by-step explanation:
<span>(a) 2.09302406
(b) Lower limit of 95% confidence interval = 185.85
(a) To get the t-score, first determine the number of degrees of freedom you have. That's simply the number of samples minus 1, so in this case we have 19 degrees of freedom. Then calculate (1-0.95)/2 = 0.05/2 = 0.025 which is the size of the tail for the confidence interval you want. Finally, lookup in a T-Distribution Table for the 19 degrees of freedom and tail size. The value looked up will be 2.09302406.
(b) Once you have the t-score, to calculate your desired interval, calculate the following:
V = T*SD/sqrt(n)
where
V = Variance
T = T-score
SD = Standard deviation
n = number of samples
So let's plug in the values and calculate V
V = T*SD/sqrt(n)
V = 2.09302406*21.02/sqrt(20)
V = 2.09302406*21.02/4.472135955
V = 43.99536574/4.472135955
V = 9.837662849
Your 95% confidence interval is now the mean +/- V. So
lower limit = 195.69 - 9.84 = 185.85
upper limit = 195.69 + 9.84 = 205.53</span>
Answer:Angles 1 and 3 are vertical angles
Step-by-step explanation:
Answer:
x² - x - 6
Step-by-step explanation:
Given
(x + 2)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 2(x - 3) ← distribute parenthesis
= x² - 3x + 2x - 6 ← collect like terms
= x² - x - 6
Answer:
The slope of the line that contains the points (-1, 2) and (4, 3) is:
Step-by-step explanation:
Given the points
Finding the slope between (-1, 2) and (4, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 2] / [4 - (-1)]
= 1 / 5
Thus, the slope of the line that contains the points (-1, 2) and (4, 3) is:
