Answer:
75.5 is not equivalent because 75 1/2% to a decimal is 0.775
Step-by-step explanation:
Hope this helps
Answer:
95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.
Step-by-step explanation:
Confidence interval is given as mean +/- margin of error (E)
Data: 5, 15, 12, 22, 27
mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months
sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months
n = 5
degree of freedom = n-1 = 5-1 = 4
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776
E = t×sd/√n = 2.776×7.68/√5 = 9.53 months
Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months
Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months
95% confidence interval is (6.67, 25.73)
Answer:
d. place an ice pack
Step-by-step explanation:
Answer:
Step-by-step explanation:
Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.
Answer:
See explanation
Step-by-step explanation:
Assuming the given polynomial is
![3u + 12 {u}^{2} - 7 {u}^{3} + 1](https://tex.z-dn.net/?f=3u%20%2B%2012%20%7Bu%7D%5E%7B2%7D%20%20-%207%20%7Bu%7D%5E%7B3%7D%20%20%2B%201)
We then rewrite in decreasing powers of u, to get:
![- 7 {u}^{3} + 12 {u}^{2} + 3u + 1](https://tex.z-dn.net/?f=%20-%207%20%7Bu%7D%5E%7B3%7D%20%20%2B%2012%20%7Bu%7D%5E%7B2%7D%20%20%2B%203u%20%2B%201)
The leading term is
![- 7 {u}^{3}](https://tex.z-dn.net/?f=%20-%207%20%7Bu%7D%5E%7B3%7D%20)
The leading coefficient is the coefficient of the leading term.
The leading coefficient is -7.