The diameter of a circle is 1213 inches.
1 answer:
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Answer:
The lines representing these equations intercept at the point (-4,2) on the plane.
Step-by-step explanation:
When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.
Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:
Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:
Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.
The question is incomplete. Here is the complete question.
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were shown in the figure below.
The average (mean) aptitude score:
The median aptitude score:
Answer: mean: 2.73
median: 3
Step-by-step explanation: <u>Mean</u> is the average number of a set of numbers.
The table below shows a frequency of students to each score of the test. To calculate mean with a frequency table, do the following:
mean = 2.73
<u>Median</u> is the middle term of a set of data.
When there is a frequency table, median is calculated as:
1) First, determine the total number of observations (n).
For this table, n = 15
2) Because n is odd, find the position of the median using:
position = 8th
3) The median will be in the 8th position. To find the position, we add the frequencies and in doing so, we notice the position we want is in the score 3 category. So, the median for this frequency table is 3.
<u>Average score</u> of a musical aptitude test is <u>2.73</u> and median is 3
