In this problem there might be a number that you need to add before the "( x 3)" then your answer will be 20 = 32 - 12 = 20
Answer:
D
Step-by-step explanation:
Given the quadratic
d = - 16t² + 12t ← subtract d from both sides
- 16t² + 12t - d = 0 ← in standard form
with a = - 16, b = 12, c = - d
Use the quadratic formula to solve for t
t = ( - 12 ±
) / - 32
= ( - 12 ±
) / - 32
= ( - 12 ±
) / - 32
= ( - 12 ± 4
) / - 32
=
± 

=
± 

=
±
→ D
In y = mx + b form, the slope will be in the m position and the y int will be in the b position
y = -2x + 2....slope = -2 and y int = 2
y = -2x - 3.....slope = -2 and y int = -3
when u have 2 lines that both have the same slope but different y intercepts, u have parallel lines with no solution because ur lines never intersect.
so ur answer is : no solutions or 0 solutions
Answer:
-4.08
Step-by-step explanation:
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.