Answer: 208.
Step-by-step explanation:
The formula to find the minimum sample size is given by :-
(1)
, where z* = critical z-value (two tailed).
= Standard deviation ( from prior study ) and E = Margin of error.
As per given , we have
Margin of error : E= 0.29
Confidence level = 85%
Significance level =
Using z-table , the critical value (two -tailed)=
As per previous study , Variance =

Now, the required minimum sample size =
[Substitute the values in formula (1)]

[ Round to the next integer]
Hence, the minimum number of third graders that must be included in a sample = 208.
George is 3 years old
Step-by-step explanation:
Three times Heidi's age plus two times Georges age equals 51
Heidi's age is also five times George's age
Assume that George's age is x
- Heidi's age is also five times George's age
- Heidi's age is 5x
- Three times Heidi's age plus two times Georges age equals 51
- 3(5x) + 2(x) is 51
Use the information to solve the problem
∵ 3(5x) + 2(x) = 51
- Simplify it
∴ 15x + 2x = 51
∴ 17x = 51
- Divide both sides by 17
∴ x = 3
∵ x represents George's age
∵ x = 3
∴ George's age is 3 years
George is 3 years old
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<span>Ok so lets say that w will denote the actual width. we can rewrite
1:1.9 as 1/1.9=10/19
so:
10/19=w/9.5
or we can also write it as,
10/19=10w/95
If you try to solve the equation to get the value of w, it would be 5 at the end.</span>
Step-by-step explanation:

Answer:
5785.12
Step-by-step explanation:
I showed the picture instead of explaining