Answer:
a)
90% confidence interval for the mean grading time of all composition papers.
(12.47981 , 13.52019)
b)
Appropriate inequality
The interval is ( 12.47981 < μ < 13.52019)
Step-by-step explanation:
<u><em>Explanation</em></u>:-
a)
Given sample size 'n' = 40
Mean of the sample = 13 minutes
standard deviation = 2 min
level of significance = 0.10 or 90%
90% confidence interval for the mean grading time of all composition papers.
( 13 - 0.52019 , 13 + 0.52019)
(12.47981 , 13.52019)
b)
The interval is ( 12.47981 < μ < 13.52019)
Answer:
295
Step-by-step explanation:
Yes y=x^2 is a function because Using the definition of a function, y=x^2 is a function because for every x-value in your domain, you will only get 1 unique y-value. A quick check you can do is to use the vertical line test
Median is the middle number, but since there is 6 numbers.
Put them in order first
23,39,40,40,43,50
Well in middle is 40 for both sides
So to solve median for this you'd add the two middle numbers together since there is even set of numbers.
40+40 =80 then divide by 2
80÷2=40
Median = 40
*Follow This Example for any other even sets of numbers for Median*
Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
(getting rid of the exponent by squaring both sides)
b = 9
x = 9
