The distance between (-11, -20) and (-11,5) is 25. Since both of the x values are the same, we know that they are both on the same x line. For the y values, -20 and 5, Their difference from each other is 25. Therefore, the distance between those coordinates are 25.
12,000,00+ 400,000+ 30,000
Answer:
Step-by-step explanation:
When two lines are parallel means that their slopes are equal. Therefore the line AB will have same slope to a parallel second line, 
.
To obtain the slope from the line AB, we need two points, so the general equation will be:
The typical equation of a line is written as y = mx + b
The second line will pass through point (2, -1), so we can substitute:
y2 = mX2 + b
-1 = 
(2) + b
then the interception is 
Now to obtain a general equation for the second parallel line will be:
y = 
X + b
y = X -
(2)-1
Finally we get:
y = (x-2)-1
Answer:
×= 2 this is what I got as a result to my equations
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.
If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?
Given Information:
standard deviation = σ = 30 hours
confidence level = 99%
Margin of error = 6 hours
Required Information:
sample size = n = ?
Answer:
sample size = n ≈ 165
Step-by-step explanation:
We know that margin of error is given by
Margin of error = z*(σ/√n)
Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size
√n = z*σ/Margin of error
squaring both sides
n = (z*σ/Margin of error)²
For 99% confidence level the z-score is 2.576
n = (2.576*30/6)²
n = 164.73
since number of bulbs cannot be in fraction so rounding off yields
n ≈ 165
Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.
