Answer:
<em>Assuming person A and person B are part of the 7 people</em>, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.
Solve by Elimination:
6y+5x=8
2.5x+3y=4
Multiply the second equations by 2:
5x+6y=8
we know see that both equations are the same line, this means that there is an infinite amount of solutions to the equation
Answer:
10 batches i think, sorry if im wrong
Step-by-step explanation:
Answer:
Undefined
Step-by-step explanation:
First, take 2 points from the table given, then you use the equation y2-y1/x2-x1 to find your slope. So, if I take the coordinates (7,1) and (7,2) and plug them into my equation, I would get 2-1/7-7. If you solve this equation, you will end up wil 1/0. Now, if you have something like this as your answer, you can not find your slope. There can not be a slope because the zero is at the bottom, making this "Undefined".
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.
