Answer:
x = 1/5, y = 6
Step-by-step explanation:
5x + y = 7
y = 7 - 5x
Set equations equal to each other to eliminate y
7 - 5x = 20x + 2
7 = 25x + 2
5 = 25x
x = 1/5
y = 7 - 5(1/5)
y = 7 - 1
y = 6
Answer:
y=5x+4
Step-by-step explanation:
First get slope:
(4-9)/(0-1) = -5/-1 = 5
The y-intercept is where the graph hits the y-axis. That is also the point on the graph where x = 0. We are already given that, with point (0,4).
The y-intercept is 4.
y = mx +b, m is slope and b is the intercept.
y = 5x +4
Answer:
95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C
Step-by-step explanation:
The confidence interval for a proportion is given as [p +/- margin of error (E)]
p is sample proportion = 870/1,100 = 0.791
n is sample size = 1,100
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (z) at 5% significance level is 1.96.
E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024
Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767
Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815
95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.
Answer:
300
Step-by-step explanation:
Step-by-step explanation:
8:15::16:x
8x = 15 x 16
8x = 240
x = 240/8
x = 30
