Answer:
a) 18 cm
b) 18
c) 3
The Earl's height is unusual because the z score does not lies in the given range of usual i.e -2 and 2
Step-by-step explanation:
Given:
Mean height, μ = 174 cm
Standard deviation = 6 cm
height of Earl, x = 192 cm
a) The positive difference between Earl height and the mean = x - μ
= 192 - 174 = 18 cm
b) standard deviations is 18
c) Now,
the z score is calculated as:

or

or
z = 3
The Earl's height is unusual because the z score does not lies in the given range of usual i.e -2 and 2
Answer:
1.954
so 4 is in the thousandths
Step-by-step explanation:
Answer:
Sian would receive 20 Pounds while Abigail would receive 10 Pounds.
Step-by-step explanation:
Given that Sian is twice as old as her sister Abigail, it means that if Abigail's age is T years then Sian's age would be 2T years.
If they divide 30 pounds in the ratio of their ages, the ratio of their ages will be
T : 2T (Ratio of Abigail's gae to Sian's age)
The amount received by Abigail
= T/(T + 2T) × 30
= T/3T × 30
= 1/3 × 30
= 10 Pounds
The amount received by Sian
= 2T/(T + 2T) × 30
= 2T/3T × 30
= 2/3 × 30
= 20 Pounds