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:
5x^2 -3x +9
Step-by-step explanation:
To subtract, line up the common terms. I add a 0 term to keep the terms in line.
5x^2 + 0x +7
- (0x^2 +3x- 2 )
------------------------
Distribute the negative sign.
5x^2 + 0x +7
- 0x^2 -3x + 2
------------------------
5x^2 -3x +9
Answer:
10
Step-by-step explanation:
The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is
d = √[(x2 - x1)² + (y2 - y1)²]
Here (x2, y2) = (6, -8) and (x1, y1) = (0, 0)
Plugging them gives us
d = √[(6 - 0)² + (-8 - 0)²]
d = √[(6)² + (-8)²]
d = √[36 + 64]
d = √100
d = 10
Answer: Ben will have the most interest.
Step-by-step explanation:
Ali after 3 years.
To use compound interest, the formula is:
= Investment * ( 1 + rate) ^ no. of periods
= 2,000 * ( 1 + 2.5%)³
= £2,153.78
Interest = Amount after 3 years - investment
= 2,153.78 - 2,000
= £153.78
Ben after 3 years.
= 1,600 * (1 + 3.5%)³
= £1,773.95
Interest = 1,773.93 - 1,600
= £173.93
Answer:
The distance is 3.5
Step-by-step explanation:
