Answer:
Step-by-step explanation:
- Estimated height is 4 feet
- Measured height is 4 feet 2 inches
1. The measurement is actual and should be considered as such. Estimate is approximate most of the time.
2. <u>The error is:</u>
- 4 feet 2 inches - 4 feet = 2 inches
3. <u>Percent error:</u>
- 2 inches/4 feet 2 inches × 100% =
- 2 inches / 50 inches × 100% =
- 0.04× 100% =
- 4%
Answer: a) Required minimum sample size= 219
b) Required minimum sample size= 271
Step-by-step explanation:
As per given , we have
Margin of error : E= 5% =0.05
Critical z-value for 90% confidence interval : 
a) Prior estimate of true proportion: p=28%=0.28
Formula to find the sample size :-

Required minimum sample size= 219
b) If no estimate of true proportion is given , then we assume p= 0.5
Formula to find the sample size :-

Required minimum sample size= 271
Writing an equation would be most helpful, but depending on the situation drawing a diagram or reading a table could work better.
Let's actually find the roots, using the quadratic formula:
<span>p(x)=x^2+x+3 gives us a=1, b=1 and c=3.
-1 plus or minus sqrt(1^2-4(1)(3))
Then x = -----------------------------------------------
2
The discriminant here is negative, so the roots x will be complex:
-1 plus or minus sqrt(-11) -1 plus or minus i*sqrt(11)
x = ---------------------------------- = -------------------------------------
2 2
These are irrational roots; they cannot be expressed as the ratios of integers.</span>
Answer:
14
Step-by-step explanation:
In a triangle, the midline joining the midpoints of two sides is parallel to the third side and half as long, so
FB = EC/2
2x - 6 = 44/2
2x - 6 = 22
2x = 22 + 6
2x = 28
x = 28/2
x = 14