Answer:
Step-by-step explanation:
The probability distribution of sampling distribution is known as it sampling distribution.
The mean and standard deviation of the proportion is given by :-
, where p =population proportion and n= sample size.
Given : According to a survey, 50% of Americans were in 2005 satisfied with their job.
i.e. p = 50%=0.50
Now, for sample size n= 1000 , the mean and standard deviation of the proportion will be :-
Hence, the mean and standard deviation of the proportion for a sample of 1000:
Answer:
32 cubic meters
Step-by-step explanation:
If Box A's dimensions were divided by 2 to create Box B, that would mean that the total volume (number of cubic meters) in Box B would be half of Box A. Half of 64 is 32.
Answer:
10
Step-by-step explanation:
Plug the numbers into the distance formula:
Then solve:
You get 10
Given that in triangle XYZ and MPN XY=MP, YZ=PN and the ratio of XZ to MN is 23/19.
Thus the possible size of angle Y given that mP=85 will be:
mY/P=23/19
mY/85=23/19
mY=23/19*85
mY=102.9
The approximate value is therefore mY=100
Answer:
Step-by-step explanation:
Let the age be xy or 10x + y.
Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:
- (10y + x)/3 + 20 = 10x + y
- (10y + x)/3 = 10x + y - 20
- 10y + x = 3(10x + y - 20)
- 10y + x = 30x + 3y - 60
- 30x - x + 3y - 10y = 60
- 29x - 7y = 60
We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.
Possible options for x are:
- 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,
and
- 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.
So x can be 3 or 4.
<h3>If x = 3</h3>
- 29*3 - 7y = 60
- 87 - 7y = 60
- 7y = 27
- y = 27/7, discarded as fraction.
<h3>If x = 4</h3>
- 29*4 - 7y = 60
- 116 - 7y = 60
- 7y = 56
- y = 8
So the age is 48.