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.
The answer should be 339.1
Answer:
B. x = 8
Step-by-step explanation:
Answer:
The side length of the large square is √2 times larger than the side length of the small square.
Step-by-step explanation:
Suppose we have a small square (square 1) and a large square (square 2). The area of the large square is twice that of the small square, that is,
A₂ = 2 A₁
A₂/A₁ = 2 [1]
The area of a square is equal to the length of the side (l) raised to the second power.
A = l²
l = √A
The ratio of l₂ to l₁ is:
l₂/l₁ = √A₂ / √A₁ = √(A₂/A₁)
We can replace [1] in the previous expression.
l₂/l₁ = √2
The side length of the large square is √2 times larger than the side length of the small square.
Answer:
Step-by-step explanation:
The synthetic division can be used to divide a polynomial function by a binomial of the form x-c, determining zeros in the polynomial.
step 1: Establish the synthetic division, placing the polynomial coefficients in the first row (if any term does not appear, assign a zero coefficient) and to the extreme left the value of c.
1 | 1 0 0 1
step 2: Lower the main coefficient to the third row.
1 | 1 0 0 1
1
Step 3: Multiply 1 by the main coefficient 1.
1 | 1 0 0 1
1
1
step 4: Add the elements of the second column.
1 | 1 0 0 1
1
1 1
step 5: Then repeat step 4 until the constant term 1 is reached.
1 | 1 0 0 1
1 1 1
1 1 1 2
step 6: Enter the quotient and remainder
quotient: 
remainder: 2
Solution: 
