The quality assurance department at a gear found that there were 3 defective gears for every 500 produced. Write this as a fract
2 answers:
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Answer: 709
Step-by-step explanation:
The formulas we use to find the required sample size :-
1.
, where = population standard deviation,
E = Margin of error .
z* = Critical value
2. , where p= prior estimate of population proportion.
3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes
Given : Margin of error : E= 3% =0.03
Critical value for 95% confidence interval = z*= 1.96
A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.
i.e. p=0.21
Then by formula 2., the required sample size will be :
[Round to the next integer.]
Hence, the required sample size of junior executives should be studied = 709
Answer:
The value of x = 11
Step-by-step explanation:
Given
- B is between A and C.
- AB = x+5
- BC = 2(x - 3)
≅
Determining the value of x
As B is between A and C, so
≅
as
- AB = x+5
- BC = 2(x - 3)
so
x + 5 = 2(x-3)
x+5 = 2x-6
2x-x = 5+6
x = 11
Therefore, the value of x = 11