Answer:
(a) The sampling distribution of
= Population mean = 79
(b) P (
greater than 81.2 ) = 0.1357
(c) P (
less than or equals 74.4 ) = .0107
(d) P (77.6 less than
less than 83.2 ) = .7401
Step-by-step explanation:
Given -
Sample size ( n ) = 81
Population mean
= 79
Standard deviation
= 18
(a) Describe the sampling distribution of 
For large sample using central limit theorem
the sampling distribution of
= Population mean = 79
(b) What is Upper P (
greater than 81.2 ) =
= 
= 
= 
= 1 - .8643 =
= 0.1357
(c) What is Upper P (
less than or equals 74.4 ) =
= 
= 
= .0107
(d) What is Upper P (77.6 less than
less than 83.2 ) =
= 
= 
= 
= 0.9821 - .2420
= 0.7401
Answer:
4 / 5
Step-by-step explanation:
From the image attached, Line BA is divided into a total of 5 equal proportions (or intervals). Point P is placed at the 4th proportion of the divided line, also the distance between point P and point A is 1 propotion. The ratio in which point P divides the line BA is given as:
Ratio = BP : PA = 4 : 1
Ratio = 4 : 1
The part to whole ratio If point p partitions line BA = BP / BA = 4 / 5
Part to whole ratio = 4/5
The x coordinate of S will be 1/2 * 2a = a.
and since the half triangle is 30-60-90 the y coordinate will be sqrt3 a
so S is (a , sqrt3a)
Answer:
Mia spent 68 dollars.
Step-by-step explanation:
The equation would be 2(13.50) + 4(10.25) = x
Solving for the first part, you get 27 for adult tickets and 41 for the children tickets. When you add the two values, you get 68.