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: 58
Step-by-step explanation: 5.80 x 10 equals 58
Functions: the chart with number values, the dot graph, and the middle graph on the right
Not functions: the top graph on the left with the vertical line, the graph with the circle, and the bottom right graph
Any graph that doesn’t pass the vertical line test is not a function. You can do this by starting at the top of the graph and drawing a line straight down through what you are testing. If you pass through the line or circle more than once it is not a function.
If you look at the number values if the x value repeats more than once it is not a function.
The perimeter is the measure around the shape, so just add all the sides together-
6+5x+x+2
6x+8
Since this is a right triangle, you multiply the legs (6 and x+2) and divide by 2
6(x+2)
6x+12
/2
3x+6
Answer:
5
Step-by-step explanation:
median = (n+1)/2 th item
n = 5
median = 3rd item = 5
= 47.5°