Answer:
5.66 units
Step-by-step explanation:
A's per our discussion, x is a leg of right triangle.
Therefore, by Pythagoras theorem:
Find the distance between the parallel lines
1 answer:
Answer:
The distance between the parallel lines is 0.92
Step-by-step explanation:
Given the two parallel lines:
<h2>4x - 6y + 20 + 0</h2><h2>6x - 9y + 20 = 0 </h2>To find the distance between the two parallel lines:
- First, we get a point on one of the lines, as follows:
- Once we have a point on a line, we calculate the distance from that point to the other line using the formula for the distance from a point to a line:
<u>See In Photo</u>
Where:
A = 6
B = -9
C = 20
px = 4
py = 6
Then:
<u>See in 2nd Photo</u>
<u />
Answer:
the distance between the parallel lines is 0.92
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Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which z is the z-score that has a p-value of .
The margin of error is of:
90% confidence level, hence, z is the value of Z that has a p-value of
, so
.
Item a:
The estimate is .
The sample size is <u>n for which M = 0.03</u>, hence:
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence
Rounding up, a sample of 752 should be taken.
A similar problem is given at brainly.com/question/25694087