1/4+5/12=3/12+5/12=8/12=4/6=2/3
they painted 2/3 of the fence
Answer:
D, (1,2)
Step-by-step explanation:
It all comes down to substitution. In this case the coefficient of x is 3 and the coefficient of y is 4. The format of these coordinates being (x,y).
1. Plug in your x value (1 in this circumstance) and solve:
3(1) + 4y < 12
3 + 4y < 12
2. Plug in your y value (2 in this circumstance) and solve:
3 + 4(2) < 12
3 + 8 < 12
3. Solve
3 + 8 = 11
11 < 12
Answer:
parallel
Step-by-step explanation:
Solve both equations for y to make it easier to compare them.
2x - 5y = 0 ↔ 5y = 2x, or y = (5/2)x.
y = (5/2)x - 3
Since the slopes are the same, the two lines are parallel.
Answer:
4x+11 is the answer.
Step-by-step explanation:
( 4*2-x+3)-(3*2-5x-6)
=(8-x+3)-(6-5x-6)
=(11-x)-(0-5x)
=(11-x)-(-5x)
=11-x+5x
=11+4x
= 4x+11
Answer:
a. n=4148
b. n=3909
c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239
Step-by-step explanation:
a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:
Where:
- Margin of error
- is the assumed proportion
#Let p=0.5, substitute in the formula to solve for n:
Hence, the minimum sample size is 4148
b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:
Hence, the minimum sample size is 3909
c. Comparing the sample sizes from a and b:
Hence, the actual sample size is smaller for a known proportion from prior a prior study.