Hi,
The answer is C)4 because you can just give 4 to x find it! If you need more explanation, you can comment below this answer!
Hope this helps :)
Answer:
99% confidence interval for the population average examination score is between a lower limit of 69.2872 and an upper limit of 82.7128.
Step-by-step explanation:
Confidence interval = mean +/- margin of error (E)
mean = 76
variance = 144
sd = sqrt(variance) = sqrt(144) = 12
n = 25
degree of freedom (df) = n - 1 = 25 - 1 = 24
confidence level (C) = 99% = 0.99
significance level = 1 - C = 1 - 0.99 = 0.01 = 1%
t-value corresponding to 24 df and 1% significance level is 2.797
E = t×sd/√n = 2.797×12/√25 = 6.7128
Lower limit = mean - E = 76 - 6.7128 = 69.2872
Upper limit = mean + E = 76 + 6.7128 = 82.7128
99% confidence interval is (69.2872, 82.7128)
First, we can choose the seats for the four mathematicians. Then we seat the physicits, then the engineer. There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer. But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.
Answer:
<em>Natalie's total spread = 18</em>
Step-by-step explanation:
The 'spread' of a crossword puzzle tournament player is computed as his/her total score minus the opponent's total score.
Natalie's scores are:
N=410+380+395+370+320+360=2,235
Opponent's scores are:
O=395+360+412+355+340+355=2,217
Natalie's total spread = 2,235 - 2,217 = +18
Natalie's total spread = 18
Circle A would make more sense (I'm not exactly sure) because it shows the entire circle (if you know what I mean).
