Answer:
The minimum sample needed to provide a margin of error of 3 or less is 52.
Step-by-step explanation:
The confidence interval for population mean (<em>μ</em>) is:
The margin of error is:
<u>Given:</u>
MOE = 3
<em>σ </em>= 11
The critical value for 95% confidence interval is: 
**Use the <em>z</em>-table for critical values.
Compute the sample size (<em>n</em>) as follows:
Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.
Answer:
96 cm^2 (centimetres squared)
Step-by-step explanation:
(7 x 3) x 2 = 42
6x2 / 2 x 2 = 12
6 x 7 = 42
42 + 12 + 42 = 96 cm^2
18 choose 7
=C(18,7)
=18!/(7!(18-7)!)
=31824
OR
18 choices for first passenger,
17 choices for second passenger,
....
12 choices for 7th passenger,
so total = 18*17*16...12
but there are 7! ways to order the 7 passengers, so
number of groups
=18*17*16...12/7!
=31824 as well
Angle M equals 45°
Angle N equals 15°
Answer:
0.16 π
Step-by-step explanation:
Using the area formula pi*r^2 we can find the area of the circle, plugging in the numbers gets us pi*(0.4)^2 = 0.16 π
