what do the following two equations represent? please help 4x+2y= 10 4x-2y= -10 a) the same line b) distance parallel lines c) p
erpendicular lines d) intersecting, but not perpendicular lines
1 answer:
Answer:
d) intersecting, but not perpendicular lines
Step-by-step explanation:
Changing the sign of one of the variable terms causes the line to be reflected across one of the axes. The slope is the opposite of what it was. Since the original slope was not 1 or -1, the resulting line is not perpendicular to it. Lines with different slopes will be intersecting.
The two lines are intersecting, but not perpendicular.
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Answer:
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Step-by-step explanation:
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Question:
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 97% , how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 18 years.
Answer:
61.03
Step-by-step explanation:
Given:
Standard deviation = 18
Sample estimate = 5
Confidence level = 97%
Required:
Find sample size, n.
First find the Z value. Using zscore table
Z-value at a confidence level of 97% = 2.17
To find the sample size, use the formula below:
Sample size = 61.03